Explanation:
A thin piece of string has lower force than of a heavy load.
When the load is being lifted, the force exerted by the load is much more greater than the string, which eventually hits our hands.
For example, a heavy bag. You tie a thin string to it and try to lift it. The force exerted by the bag will hit the string harder, reaching for your plams. As the thin string has less force, its reaction force is not enough to hit back the greater force. Also, the less the surface area, the more difficult the grip gets. But, if you attach a thick rope or belt, the force exerted my the bag is automatically minimized as the reaction force of the thick rope is near about the action force. Hence, greater the surface area, better the grip.
*action force: force exerted by the bag
*reaction force: the force hit back by the rope
It is painful to lift a heavy load with a thin piece of string because the string has a small cross-sectional area and cannot withstand a large amount of tension without breaking.
What is tensile strength?Tensile strength is the maximum amount of tensile stress that a material can withstand before it breaks or undergoes permanent deformation. It is a measure of the material's ability to resist external forces that try to pull it apart or elongate it.
Tensile strength is an important mechanical property of materials, and it is commonly used in engineering and design to select materials for specific applications. The tensile strength of a material is typically determined through a tensile test, where a sample of the material is subjected to a gradually increasing tensile force until it breaks.
The tensile strength of a material depends on its composition, microstructure, and processing conditions. For example, materials that have a high degree of crystallinity and are free from defects or impurities generally have a higher tensile strength than materials with a less ordered microstructure or defects. In addition, the processing conditions, such as temperature and strain rate, can also affect the tensile strength of a material.
The tensile strength is typically reported in units of force per unit area, such as megapascals (MPa) or pounds per square inch (psi). The higher the tensile strength of a material, the greater its ability to withstand tensile stress without breaking or undergoing permanent deformation.
Here in the Question,
It is painful to lift a heavy load with a thin piece of string because the string has a small cross-sectional area and cannot withstand a large amount of tension without breaking. When a heavy load is attached to the string and lifted, the weight of the load creates a tension force in the string that is equal to the weight of the load. If the tension force in the string exceeds its maximum tensile strength, it will break.
The maximum tensile strength of a string depends on its material properties and cross-sectional area. When a thin piece of string is used to lift a heavy load, the tension force in the string can easily exceed its maximum tensile strength, causing it to break. This sudden release of tension can also cause the load to drop suddenly, which can lead to injury.
This can be explained using the concept of stress and strain. Stress is the force applied to an object per unit area, while strain is the deformation of the object due to the applied stress. When a heavy load is attached to a thin piece of string, the weight of the load creates a large stress in the string, which can cause it to undergo plastic deformation and break. This is because the string has a small cross-sectional area, which means that the stress is concentrated over a small area, leading to a high level of strain.
Therefore, a thicker piece of string or rope has a larger cross-sectional area, which means that the stress is spread out over a larger area. This allows it to withstand a greater amount of tension before breaking. Therefore, it is important to use a string or rope with a sufficient cross-sectional area when lifting heavy loads to prevent injury and damage.
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Question:
PLEASE HELP! IF YOU ANSWER ALL PARTS TO MY QUESTION I WILL DO ANY 20 OF YOUR QUESTIONS AT ANY TIME!!! I WILL EVEN DO A TEST FOR YOU!
We all know the formula for work: W = FD. But what about t the work-energy theorem? This theorem involves kinetic energy, which of course is implied in the formula for work as well. (1) What is the work energy theorem? (2) Write the formula for the theorem. (3) Use the formula to answer the question: According to the work-energy theorem, between what two points does the roller coaster car do the most work? The roller coaster car has mass 20 kg.
Final answer:
The work-energy theorem states that the work done by all forces on a particle equals the change in the particle's kinetic energy, expressed as W = ΔKE = ½m( [tex]vf^2 - vi^2[/tex]). The most work is done between the points where kinetic energy changes the most.
Explanation:
The work-energy theorem states that the work done by all forces acting on a particle is equal to the change in the particle's kinetic energy. In formula form, this can be expressed as W = ΔKE, where W is the work done by the forces, and ΔKE is the change in kinetic energy, often written as ΔKE = KEf - KEi, with KEf denoting the final kinetic energy and KEi the initial kinetic energy. For a roller coaster car, the point where it does the most work is where the change in kinetic energy is greatest, typically between the top of the highest hill (where kinetic energy is lowest) and the bottom of the following descent (where kinetic energy is highest).
The formula representing the work-energy theorem is W = ΔKE = ½m( [tex]vf^2 - vi^2[/tex]), where m represents the mass of the object, vf the final velocity, and vi the initial velocity.
Two objects are dropped from rest from the same height. Object A falls through a distance [tex]d_A[/tex] during a time [tex]t[/tex], and object [tex]B[/tex] falls through a distance [tex]d_B[/tex] during a time [tex]2t[/tex]. If air resistance is negligible, what is the relationship between [tex]d_A[/tex] and [tex]d_B[/tex]?
Answer is [tex]d_A=\frac{1}{4} *d_B[/tex]
Please show me how I can get the answer. Thank you.
Answer:
The answer to your question is given below
Explanation:
Since both object A and B were dropped from the same height and the air resistance is negligible, both object A and B will get to the ground at the same time.
From the question, we were told that object A falls through a distance to dA at time t and object B falls through a distance of dB at time 2t.
Remember, both objects must get to the ground at the same time..!
Let the time taken for both objects to get to the ground be t.
Time A = Time B = t
But B falls through time 2t
Therefore,
Time A = Time B = 2t
Height = 1/2gt^2
For A:
Time = 2t
dA = 1/2 x g x (2t)^2
dA = 1/2g x 4t^2
For B
Time = t
dB = 1/2 x g x t^2
Equating dA and dB
dA = dB
1/2g x 4t^2 = 1/2 x g x t^2
Cancel out 1/2, g and t^2
4 = 1
4dA = dB
Divide both side by 4
dA = 1/4 dB
Which law can be used to calculate the number of moles of a contained gas?
Which features do sound waves have the ocean and light waves do not
Sound waves spread out and bend around corners, while light waves behave like rays and do not bend around corners.
Explanation:The difference between sound waves and light waves when passing through an opening is that light waves behave like rays and do not bend around corners, while sound waves spread out and bend around corners due to their longer wavelengths.
Light waves have very short wavelengths, which allows them to act like rays and create sharp shadows when passing through openings. On the other hand, sound waves have longer wavelengths, on the order of the size of the opening, and can bend around corners.
For example, when light shines through an open door into a dark room, we expect to see a sharp shadow of the doorway on the floor and no light bending around corners. However, when sound passes through a door, we expect to hear it everywhere in the room, indicating that sound waves spread out and bend around corners.
What type of bond results from the side‑on overlap of orbitals?
Answer:
A pi bond
Explanation:
A pi bond is a type of covalent bond that results from the formation of a molecular orbital by the side-to-side overlap of atomic orbitals along a plane perpendicular to a line connecting the nuclei of the atoms.
Two blocks of masses 6 kg and 10 kg are placed on a horizontal, frictionless surface. A light spring is attached to one of them, and the blocks are pushed together with the spring between them. A cord holding them together is burned, after which the block of mass 10 kg moves to the right with a speed of 3.4 m/s. What is the velocity of the other mass in
Answer:
5.67 m/s ( towards left)
Explanation:
We are given that
[tex]m_1=6 kg[/tex]
[tex]m_2=10 kg[/tex]
Speed of mass 10 kg=3.4 m/s
We have to find the velocity of other mass.
When there is no external force applied the the linear momentum will be conserved
[tex]-m_2v_2=m_1v_2[/tex]
Substitute the values
[tex]10\times 3.4=6v_1[/tex]
[tex]v_1=-\frac{10\times 3.4}{6}[/tex]
[tex]v_1=-5.67 m/s[/tex]
The mass 6 kg moves to the left with speed 5.67 m/s.
Two musicians are comparing their trombones. The first produces a tone that is known to be 438 hz. When the two trombones play together they produce 6 beats every 2 seconds. Which statement is true about the second trombone?
Answer:
The second trombones might produce frequency of 435 Hz or 441Hz.
Explanation:
Beat frequency is defined as number of beats produced per second and numerically equal to the difference between the frequency of super imposing waves.The sound waves interfere constructively.
Beat is the phenomena of interference.
The frequency of the resultant wave is given by
F = f₁ - f₂ eqn 1
where f₁ , f₂ are frequency of waves.
The frequency of first trombones is 438Hz, 6 beats are heard every 2 second,
Beat frequency is F = [tex]\frac{6}{2}[/tex] = 3Hz.
Substituting in eqn 1 , we get two possible solution for frequency of second trombones.
f₂ =f₁ -F = 438 -3 =435Hz
f₂ = f₁ +F = 438+3 =441 Hz.
The second trombones might produce frequency of 435 Hz or 441Hz.
Two identical 9.60-g metal spheres (small enough to be treated as particles) are hung from separate 500-mm strings attached to the same nail in a ceiling. Surplus electrons are added to each sphere, and then the spheres are brought in contact with each other and released. Their equilibrium position is such that each string makes a 17.0 ∘ angle with the vertical.How many surplus electrons are on each sphere?
Answer:
1.349 × 10¹² electrons
Explanation:
At equilibrium, the tension T in the string is resolved into horizontal and vertical components. Tcos17 being the vertical component and Tsin17 the horizontal component. The electrostatic force of repulsion at equilibrium, F = kq²/r² where q = excess charge on sphere and r = distance apart at equilibrium,F acts horizontally to the left and its weight, mg acts vertically downwards.
For equilibrium, sum of horizontal components = 0 and sum of horizontal components = 0. So, Tsin17 - F = 0
Tsin17 = F ⇒ Tsin17 = kq²/r² (1)
Also Tcos17 - mg = 0 ⇒ Tcos17 = mg (2)
Dividing (1) by (2), we have
Tsin17/Tcos17 = kq²/r² ÷ mg
tan17 = kq²/mgr²
q = r√(mgtan17/k)
We find r using cosine rule r = √(500² + 500² -2 × 500²cos 2 × 17) since the string and the masses form an isosceles triangle at equilibrium.
r = √(2 × 500² -2 × 500²cos34) = 500√2(1 - cos 34) = 500√2 × 0.1710 =120.89 mm = 0.1209 m
substituting m = 9.60 g = 9.6 × 10⁻³ g, k = 9 × 10⁹ Nm²/C² and r into q, we have,
q = r√(mgtan17/k)
= 0.1209 m√(9.6 × 10⁻³ g × 9.8 m/s² × tan17/9 × 10⁹ Nm²/C²)
= 0.1209 m√(28.76 × 10⁻³ N/9 × 10⁹ Nm²/C²)
= 0.1209 m√(3.195 × 10⁻¹² C²/m²)
= 0.1209 m × 1.7877 × 10⁻⁶ C/m
= 0.2161 × 10⁻⁶ C
= 2.161 × 10⁻⁷ C
To find the number of surplus electrons, n on each sphere, we divide q by e the electron charge.
So, n = q/e = 2.161 × 10⁻⁷ C ÷ 1.602 × 10⁻¹⁹ C = 0.6825 × 10¹² = 1.349 × 10¹² electrons
The number of surplus electrons on each sphere : 3.27 * 10¹²
Given data :
Mass of metal spheres = 9.60 g
length of string = 500 mm
Angle made by each string with the vertical ( ∅ ) = 17°
Determine the number of surplus electrons on each sidewe will apply the formula below
number of surplus electrons ( n ) = [tex]\frac{q}{e}[/tex] ----- ( 1 )
whereby :
Considering The forces acting on the metal spheres
Tan ∅ = [tex]\frac{q^{2} }{4\pi e_{o}mgr^{2} }[/tex] ----- ( 2 )
First step : Determine the distance between the spheres
r = 2l * sin∅
= 2 * 0.500 * sin17°
= 0.2924 m
Next step : Determine the charge on each sphere
Back to equation ( 2 )
Tan 17° = [tex]\frac{(8.99*10^{9}) * q^{2} }{(9.60 * 10^{-3})*(9.81)*(0.2924 )^{2} }[/tex]
q² = [ ( 0.3057 ) * ( 9.60 * 10⁻³ ) * ( 9.81 ) * ( 0.2924 )² ] / ( 8.99 * 10⁹ )
= 0.00246 / 8.99 * 10⁹
= 2.7364 * 10⁻¹³
Charge on each sphere ( q ) = √ ( 2.7364 * 10⁻¹³ ) = 5.23 * 10⁻⁷ C
Final step : The number of surplus electrons on each sphere
Back to equation ( 1 )
n = q / e
= ( 5.23 * 10^-7 ) / ( 1.6 * 10^-19 )
= 3.27 * 10¹²
Hence we can conclude that the number of surplus electrons on each sphere : 3.27 * 10¹².
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Use the drop-down menus to complete the sentences. A is a seasonal wind___that blows in the opposite direction of normal winds. A wind___ is a wind that blows mainly from a single general direction. Seasonal winds that blow in the opposite direction of normal winds often cause____ in the winter.
The following sentences are completed and explained below
Explanation:
A is a seasonal wind known as monsoon wind that blows in the opposite direction of normal winds.
Prevailing winds are the wind that blows mainly from a single general direction.
Seasonal winds that blow in the opposite direction of normal winds often cause drought in the winter.
The monsoon winds are seasonal winds that refers to wind systems that have a pronounced seasonal reversal of direction.
The winds that blow from single direction over a specific area of the earth is known as prevailing winds.
1. Monsoon wind: a seasonal wind that blows in the opposite direction of normal winds.
2. Prevailing wind: it is a wind that blows mainly from a single (one) general direction.
3. Seasonal winds that blow in the opposite direction of normal winds often cause drought in the winter.
A wind can be defined as the natural movement of air and its constituent gases blowing in a particular with respect to a planet's surface.
Based on the location of occurrence and periodicity, winds are classified into three (3) main categories and these are:
1. Local winds: these include bora, foehn, loo, mistral, etc.
2. Secondary winds: these include mountain and valley breeze, monsoon wind, etc.
3. Primary winds: polar easterlies, trade winds, westerlies, etc.
In this exercise, you're required to complete the given sentences as follows:
Monsoon wind: a seasonal wind that blows in the opposite direction of normal winds.Prevailing wind: it is a wind that blows mainly from a single (one) general direction.During winter, droughts are typically caused by the seasonal winds that blow in the opposite direction of normal winds.Read more: https://brainly.com/question/15520014
Two particles, each of charge Q, are fixed at opposite corners of a square that lies in the plane of the page. A positive test charge q is placed at a third corner. If F is the magnitude of the force on the q test charge due to only one of the other charges, what is the magnitude of the net force acting on the test charge due to both of these charges?
Answer:
The magnitude of the net force is √2F.
Explanation:
Since the two particles have the same charge Q, they exert the same force on the test charge; both attractive or repulsive. So, the angle between the two forces is 90° in any case. Now, as we know the magnitude of these forces and that they form a 90° angle, we can use the Pythagorean Theorem to calculate the magnitude of the resultant net force:
[tex]F_N=\sqrt{F^{2}+F^{2}}\\\\F_N=\sqrt{2F^{2}}\\\\F_N=\sqrt{2}F[/tex]
Then, it means that the net force acting on the test charge has a magnitude of √2F.
The net force on the test charge q due to the two charges Q is calculated using vector addition and the Pythagorean theorem. Because the two forces act at a right angle, the total force is the vector sum and is equal to F√2.
Explanation:The magnitude of the net force acting on the test charge due to both of these charges can be calculated using the principles of vector addition in Physics. When a charge q is placed at the corner of a square, the forces exerted by the two charges, Q and Q, at the opposite corners are equal in magnitude but act along different directions. Because these charges are placed at a right angle with respect to charge q, the total force is the vector sum of individual forces, which results in a diagonal force directed along the line joining the charge q and the empty corner of the square. Therefore, the magnitude of the net force is given by the Pythagorean theorem, √(F^2 + F^2), which simplifies to F√2.
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What is your prediction on the effects of drinking 20oz of sports drink vs. 20oz of water? What would happen to urine volume
Answer:
Drinking 20oz of sports drinks decrease the urine volume compared to 20oz of water
Explanation:
Sport drinks typically used by athletes contain water,carbs and electrolytes which helps to replenish the lost minerals from the body during exercises.
Electrolytes an important ingredients of sports drinks is typically sodium and potassium they help the body to retain water,hence less volume of urine is released from the body.
Jordana pulled a muscle while running at a track meet. Her coach gave her a self-heating pack to treat the injury. The instructions on the box said to twist the pack until the liquids mix. Which type of energy contained in the pack is responsible for producing the heat?
Answer:
Chemical
Explanation:
Jordana pulled a muscle while running at a track meet. Her coach gave her a self-heating pack to treat the injury. The instructions on the box said to twist the pack until the liquids mix. Chemical energy contained in the pack is responsible for producing the heat.
What is chemical energy ?Chemical energy is the energy that is released when chemical substances engage in a chemical reaction and change into other substances. Batteries, food, and gas are a few examples of chemical energy storage mediums.
Chemical energy is the energy held in atom and molecule bonding. Chemical energy can be found in things like batteries, biomass, oil, natural gas, and coal. When humans burn fuel in a car's engine or wood in a fireplace, chemical energy is transformed into thermal energy.
Around the world, we generate heat and power using chemical energy. Methane, natural gas, oil, and petroleum are examples of fossil fuels that we burn to create steam that turns turbines to generate power.
Thus, Chemical energy contained in the pack is responsible for producing the heat.
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In a double-slit arrangement the slits are separated by a distance equal to 100 times the wavelength of the light passing through the slits. What is the angular separation in radians between the central maximum and an adjacent maximum?
Answer:
0.01 rad
Explanation:
For a double-slit experiment, we have that dsinθ = nλ. The separation between the central maximum and an adjacent maximum is when n = 1
dsinθ = λ
The angular separation θ = sin⁻¹(λ/d)
now d = 100λ
θ = sin⁻¹(λ/100λ) = sin⁻¹(0.01) = 0.573°
θ = 0.573° × π/180 = 0.01 rad
A single star in the process of forming starts by spinning slowly (while it is quite large and relatively cool.) As the star collapses under the pull of its own gravity, its size decreases. As a result, its rate of spinning:_____
a. will either increase or decrease depending on the star's temperature
b. will decrease
c. will stay the same
d. will increase
Answer:
d. will increase
Explanation:
The process is spinning is known as stellar rotation, it is the rotation of a star about it axis in an angular direction. Now, A single star in the process of forming starts by spinning slowly which is as a result of its size but as the star collapses under the pull of its own gravity, the radius of the size shrinks and reduces, then the spinning rate escalate and increases.
Calculate the Kinetic Energy when the mass of the car is 1,200kg and the speed
is 2.78 m/s.
Answer:
Kinetic energy of the car = 4637.04 J
Explanation:
Mass of the car (m) =1200 kg
speed of the car (v) = 2.78 m/sec
Kinetic energy =[tex]\frac{1}{2}mv^{2}[/tex]
Putting the values of m and v,
Hence, Kinetic Energy of the car =[tex]\frac{1}{2}1200\cdot 2.78^{2}[/tex] = 4637.04 J
The kinetic energy of a 1,200kg car traveling at a speed of 2.78 m/s is calculated using the formula KE = ½ mv², yielding a kinetic energy of 4,634.88 joules.
To calculate the kinetic energy (KE) of a car with a mass of 1,200kg traveling at a speed of 2.78 m/s, we need to use the kinetic energy formula KE = ½ mv². Plugging in the given values, we have:
KE = ½ (1,200 kg) × (2.78 m/s)²
KE = ½ × 1,200 kg × 7.7284 m²/s²
KE = 4,634.88 J
Therefore, the kinetic energy of the car is calculated to be 4,634.88 joules.
A typical incandescent light bulb consumes 75 W of power and has a mass of 30 g. You want to save electrical energy by dropping the bulb from a height great enough so that the kinetic energy of the bulb when it reaches the floor will be the same as the energy it took to keep the bulb on for 1.0 hour. From what height should you drop the bulb, assuming no air resistance and constant g?
Answer:
The height will be 917431.2 m.
Explanation:
Power of bulb = 75 W
Time kept on 1 hr = 60 x 60 = 3600 sec
Energy of bulb = power x time
E = 75 x 3600 = 270000 J
From conservation of energy, kinetic energy of the bulb is equal to the potential energy of the bulb due to its height of fall.
Potential energy = m x g x h
Where g = acceleration due to gravity 9.81 m/s2
m = mass = 30 g = 0.03 kg
PE = 0.03 x 9.81 x h = 0.2943h
Equating withe the energy of bulb (still obeying energy conservation)
270000 = 0.2943h
h = 270000/0.2943 = 917431.2 m
The incandescent bulb would have to be dropped from a height of approximately 918,367.35 meters to have its kinetic energy equal to the energy consumed in one hour of use.
To determine from what height you should drop a 75-watt incandescent bulb so that upon reaching the floor, its kinetic energy will equal the energy used to power it for 1.0 hour, we use the formula for gravitational potential energy (PE) and kinetic energy (KE), where PE = mgh and KE = ½ mv². The power consumption of the bulb indicates how much energy it uses per second, so we first calculate the energy consumed in one hour (E = power × time). Since the bulb is 75 watts, and there are 3600 seconds in an hour, it uses 75 W × 3600 s = 270,000 joules in one hour. This is the energy we want the bulb to have as kinetic energy when it hits the ground. To find the height, we set this equal to the potential energy at the start (mgh) and solve for h:
E = mgh
270000 J = (0.03 kg)(9.8 m/s²)(h)
h = 270000 J / (0.03 kg × 9.8 m/s²)
h = 918367.35 m
Thus, the bulb would have to be dropped from a height of approximately 918367.35 meters to have the same energy when it impacts the ground as it uses in one hour of being lit.
When you swim, your hands apply a force backward on the water. The reaction to this force is________
Explanation:
THERE FORE THE REACTION IS FRICTION FORCE.
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It should be pushing because when you swim you are pushing yourself
Your system engineer has started making negative comments during your weekly team meeting. He has had a heated argument with the marketing manager, and you have heard from various team members that he has become difficult to work with. What is the best course of action for you to take?
A. You should write a memo to the system engineer's functional manager and request a replacement as soon as possible.
B. The system engineer is critical to the project, so you should give him some slack and wait to see whether the behavior stops.
C. You should confront the system engineer openly at the next team meeting. Let him know that his behavior is unacceptable and that he will be replaced if there is not an immediate change.
D. You should schedule an individual meeting with the system engineer to determine whether he has issues with the project that need to be resolved. Get his perspective on how the project is progressing and how he feels about his role.
Answer: D. To address the issue, you need to understand what is behind the system engineer's current behavior. He may have been given additional work that you are not aware of, or he may misunderstand the project goals, to name just a couple of possibilities. The situation cannot be ignored, no matter how valuable the person is, and it should be handled in private.
Answer :
D. You should schedule an individual meeting with the system engineer to determine whether he has issues with the project that need to be resolved. Get his perspective on how the project is progressing and how he feels about his role.
If a gas is compressed isothermally, which of the following statements is true? Energy is transferred into the gas by heat. No work is done on the gas. The temperature of the gas increases. The internal energy of the gas remains constant. None of those statements are true.
Answer:
The internal energy of the gas remains constant,
Explanation:
The isothermal process can be defined as a thermodynamic process in which the temperature of the system remains constant.In isothemal process the process of transfer of heat energy from the surrounding to the system or to the system from the surrounding takes place at constant temperature.
in isothermal process internal energy of the system remains unchanged or constant.
For ideal gas internal energy of the system depends on the temperature.
For ideal gas when it is compressed the work is done by the surrounding on the gas is positive and heat added to the system is negative .When the heat energy is absent,both temperature and internal energy increases. As it is a isothermal process and temperature remains constant the gas must transfer the positive amount of heat to the system.
Hence internal energy of the system of gas remains constant.
Final answer:
During an isothermal compression of a gas, energy is transferred into the gas by heat to maintain its constant temperature, while work is done on the gas and its internal energy remains constant.
Explanation:
When a gas is compressed isothermally, specific events related to energy take place. Isothermal processes occur at a constant temperature, implying that the thermal energy of the gas does not change. If we refer to the first law of thermodynamics, stating that the change in internal energy (\(\Delta E_{int}\)) is equal to heat added to the system (Q) minus the work done by the system (W), we can understand these events. Since the temperature remains constant during an isothermal compression, the internal energy of an ideal gas, which depends only on temperature, also remains constant (\(\Delta E_{int} = 0\)). Work is done on the gas during compression, meaning that there is a transfer of energy into the gas by way of work (W > 0).
To maintain the constant temperature, heat must be removed from the gas equal to the work done on it (Q = W), so there is effective energy transfer into the gas by heat to maintain isothermality. Therefore, the correct statement among the given options is: Energy is transferred into the gas by heat.
Let the magnitudes of two displacement vectors be 4 m and 8 m, respectively. If the two vectors are added, the magnitude of the resultant vector. A. is exactly equal to 4 m. B. is exactly equal to 12 m. C. is greater than 12 m. D. could be as small as 4 m, and as large as 12 m
Answer:
D. Could be as small as 4 m, and as large as 12 m.
Explanation:
Since the magnitudes are vectors instead of scalars, their sum is not just the sum of their magnitudes; their directions must be taken in account. The maximum possible magnitude of the resultant occurs when both vectors have the same direction; in that case the resultant magnitude is the sum of the individual magnitudes (in this case, 12 meters). In the other hand, the minimum possible magnitude is when the vectors have opposite directions; in that case the magnitude of the resultant is the substraction of one magnitude to another (in this case, 4 meters). Finally, the right answer is D, because the possible values range from 4m to 12m.
Final answer:
The magnitude of the resultant vector when adding two displacement vectors of 4 m and 8 m can be as small as 4 m if they are in opposite directions or as large as 12 m if they are collinear and in the same direction.(Option D)
Explanation:
The question asks about the magnitude of the resultant vector when two displacement vectors are added. A displacement vector has both magnitude and direction, and when two vectors are combined, their resultant depends on both their magnitudes as well as the angle between them. When two vectors are added, the magnitude of the resulting vector can vary depending on this angle. If the vectors are collinear and in the same direction, the magnitude of the resultant will be the sum of the magnitudes of the individual vectors, which is the maximum possible magnitude.
However, vectors can also be in opposite directions, in which case the resultant magnitude will be the difference between the two, representing the minimum magnitude. Therefore, given two displacement vectors with magnitudes of 4 m and 8 m, the magnitude of the resultant vector upon addition can range from 4 m to 12 m. This occurs because if the vectors are in the same direction, their magnitudes add up (to 12 m); if they are opposite, the resultant is the difference (to 4 m). In any other scenario of different angles between the vectors, the resultant will fall somewhere between 4 m and 12 m.
A small sphere of mass m is launched horizontally over a body of water from a height h above the water and with a launch speed v0. Determine expressions for the following in terms of m, v0, h, and g. Air resistance is negligibly small.
(a) W is the amount work done by the force of gravity on the projectile during its flight.
W =
−mgh
For a conservative force, how does the work done by the force compare to the change in potential energy associated with the force?
Answer:
a) W = m g h , b) W / U = 1
Explanation:
a) work is defined by
W = F. dy
in this case the force of gravity goes down and the displacement of the particle is down, so the two are parallel and the scalar product is reduced to the algebraic product
W = F y
strength is the weight of the body
F = m g
W = m g h
where h is the distance the body descends
b) the only force acting on the body is the weight of the work and we calculated them in part a, the potential energy is
U = m g h
to compare the two magnitudes of let's find their relationship
W / U = mgh / mgh
W / U = 1
A car passes the Eiffel tower driving at a constant rate of 60 km per hour. A second car, traveling at a constant rate of 75 km per hour, passes the Eiffel tower a while later and then follows the first car. It catches the first car after traveling a distance of 75 km past the Eiffel tower. How many minutes after the first car passed the Eiffel tower did the second car pass the Eiffel tower
Answer:
300 minutes.
Explanation:
Given,
Speed of car 1 = 60 Km/h
Speed of car 2 = 75 Km/h
distance travel by car 2 to catch car 1 = 75 Km
time taken to catch the car = ?
Relative velocity between the car = 75 - 60 = 15 Km/h
[tex]time = \dfrac{distance}{speed}[/tex]
[tex]time = \dfrac{75}{15}[/tex]
t = 5 hrs
t = 5 x 60 = 300 minutes.
Two cars passing a point at different speeds can be calculated using time, distance, and speed formulas.
A car passes the Eiffel Tower driving at a constant rate of 60 km per hour. A second car, traveling at a constant rate of 75 km per hour, passes the Eiffel Tower later and catches the first car after traveling 75 km past the tower.
To calculate the time difference between the two cars passing the Eiffel Tower, we can use the formula: Time = Distance / Speed. The second car passes the tower 15 minutes after the first car.
What are the wavelengths of electromagnetic wave in free space that have the following frequencies?
(a) 4.00 1019 Hz
(b) 5.50 109 Hz
Explanation:
Given that,
(a) Frequency, [tex]f_1=4\times 10^{19}\ Hz[/tex]
All electromagnetic wave moves with the speed of light. It is given by :
[tex]c=f\lambda[/tex]
[tex]\lambda_1=\dfrac{c}{f_1}\\\\\lambda_1=\dfrac{3\times 10^8}{4\times 10^{19}}\\\\\lambda_1=7.5\times 10^{-12}[/tex]
(b) Frequency, [tex]f_2=5.5\times 10^{1=9}\ Hz[/tex]
All electromagnetic wave moves with the speed of light. It is given by :
[tex]c=f\lambda[/tex]
[tex]\lambda_2=\dfrac{c}{f_2}\\\\\lambda_2=\dfrac{3\times 10^8}{5.5\times 10^{9}}\\\\\lambda_2=0.054\ m[/tex]
Hence, this is the required solution.
500 kg cannon and is at rest on a horizontal, frictionless surface on a clear and sunny day. When a crazy cool 100 kg clown decided to show how the cannon works they decided to get fired horizontally from the barrel of the cannon and the cannon recoils with a speed of 5 m/s. A very inquisitive Physics student figured out how fast the clown was traveling when leaving the cannon. What value did they come up with?
Answer:
Explanation:
Given that,
Mass of cannon
M1= 500kg and initially at rest
U1 = 0m/s
Mass of clown
M2 = 100kg
so it was initial at rest before this time, therefore, U2 = 0
Recoils speed of cannon V1 =5m/s, the recoils speed is after the cannon has left the barrel.
Using construction of linear momentum
Momentum before collision is equal to momentum after collision
The initial momentum is zero since the two bodies are until at rest
And the final momentum is
M1•V1 + M2•V2
Then,
P(initial) = P(final)
0 = M1•V1 + M2•V2
0 = 500 × 5 + 100 × V2
0 = 2500 +100•V2
100•V2 = -2500
V2 = -2500/100
V2 = —25m/s
So, the final velocity of the clown is -25m/s, opposite direction of the cannon
Although blood cells are contained within a special liquid called plasma, the cells themselves are___________.
Answer:
Solid
Explanation:
The plasma is the liquid part of blood, it is 90% and accounts for 55% of blood volume. It is what red blood cells, white blood cells, and platelets move around in. These cells remain solid within the plasma. I hoped this helped!
Although blood cells are contained within a special liquid called plasma, the cells themselves are suspended in plasma.
Blood is a fluid tissue that is made up of plasma, red blood cells, white blood cells, and platelets. Plasma is the liquid part of blood that makes up about 55% of blood volume.
Red blood cells make up about 45% of blood volume and are responsible for carrying oxygen to the tissues. White blood cells make up about 1% of blood volume and are responsible for fighting infection. Platelets are responsible for clotting blood.
The cells are suspended in the plasma because they are too small to sink to the bottom of the blood. The plasma also helps to transport the cells throughout the body.
Learn more about blood cells, here:
https://brainly.com/question/7812856
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What is the slit spacing of a diffraction necessary for a 600 nm light to have a first order principal maximum at 25.0°?
Explanation:
Given that,
Wavelength of light, [tex]\lambda=600\ nm=6\times 10^{-7}\ m[/tex]
Angle, [tex]\theta=25^{\circ}[/tex]
We need to find the slit spacing for diffraction. For a diffraction, the first order principal maximum is given by :
[tex]d\sin\theta=n\lambda[/tex]
n is 1 here
d is slit spacing
[tex]d=\dfrac{\lambda}{\sin\theta}\\\\d=\dfrac{6\times 10^{-7}}{\sin(25)}\\\\d=1.41\times 10^{-6}\ m\\\\d=1.41\ \mu m[/tex]
So, the slit spacing is [tex]1.41\ \mu m[/tex].
Two quakes of equal measurements on all scales occur in two different areas. In earth quake 1, the damage is severe but in earthquake 2, the damage is minimal. Explain some reasons why this is possible.
Answer:
See explanation
Explanation:
Depth: Earthquakes can happen anywhere from at the surface to 700 kilometers below. In general, deeper earthquakes are less damaging because their energy dissipates before it reaches the surface. So it is highly likely that the earthquake 1 was shallower than earthquake 2.
Distance from the epicenter: The epicenter is the point at the surface right above where the earthquake originates and is usually the place where the earthquake's intensity is the greatest. Plausible that earthquake 1 might have been closer to its epicenter as compared to earthquake 2.
Local geologic conditions: The nature of the ground at the surface of an earthquake can have a profound influence on the level of damage. Loose, sandy, soggy soil, like in Mexico City, can liquefy if the shaking is strong and long enough, for example. That doesn't bode well for any structures on the surface. Plausible that the area around the earthquake 1 might have poorer geologic conditions as compared to area of earthquake 2.
Choose all correct sentences a. The power (equation 8) is maximum when the value of the impedance is greater than the value of the resistance. b. Resonance occurs when ω2 = 1/ LC c. At resonance, the power is maximum and the impedance is minimum. d. At resonance, R2- LC e. The quality factor L/ C f. The quality factor Q = g. The impedance Z is always larger than the resistance R.
Answer:
Note: Check the attached image for a clearer question
From the attached image, the answers are 2,3,6,7
Explanation:
Maximum power occurs at resonance, i.e. [tex]X_{L} = X_{C}[/tex], not when impedance is greater than resistance
Resonance occurs when the Inductive reactance equals the capacitive reactance, i.e. [tex]X_{L} = X_{C}[/tex], not [tex]R^{2} = (X_{L} - X_{C} ) ^{2}[/tex]
and when, [tex]w = \frac{1}{\sqrt{LC} }[/tex]
Therefore, option B is correct
Since the formula for impedance is [tex]Z = \sqrt{R^{2} + (X_{L}-X_{C}) ^{2} }[/tex], at resonance, Z = R i.e. the impedance is minimum
At resonance, there is maximum power and minimum impedance
Thew Quality Factor, [tex]Q = \frac{w_{0}L }{R} = \frac{1}{R} \sqrt{\frac{L}{C} }[/tex]
The impedance Z is always larger than the resistance R, note that it is not stated that this condition is at Resonance, that makes it correct.
[tex]Z = \sqrt{R^{2} + X^{2} }[/tex]
you push a 560 mm radius bicycle wheel, which is approximately hoop shaped, along a flat region until it reaches a speed of 5.01 m/s. It then goes up a smooth hill of irregular shape and height 0.6 m before falling off the vertical face on the opposite side.
What is its speed at the top of the hill?
Answer:
The speed at the top of the hill is 4.38 m/s
Explanation:
Here we have total Kinetic = KE (translational) +KE (rotational)
=0.5 m v² + 0.5m·r²v²/r² = m·v²
Therefore at height 0.6 m we have
0.6 mg = mv²
When v = 5.01 m/s maximum height is
m·g·h=m·5.01²
or h = 2.56 m
Therefore at 0.6 m we have 2.56 - 0.6 more height energy to climb
which gives
1.96·m·g = m v₂²
or v₂² = 19.22
v₂ = 4.38 m/s.
A billiard ball is moving in the x-direction at 30.0 cm/s and strikes another billiard ball moving in the y-direction at 40.0 cm/s. As a result of the collision, the first ball moves at 50.0 cm/s, and the second ball stops. What is the change in kinetic energy of the system as a result of the collision
Explanation:
Given that,
Initial speed of the billiard ball 1, u = 30i cm/s
Initial speed of another billiard ball 2, u' = 40j cm/s
After the collision,
Final speed of first ball, v = 50 cm/s
Final speed of second ball, v' = 0 (as it stops)
Let us consider that both balls have same mass i.e. m
Initial kinetic energy of the system is :
[tex]K_i=\dfrac{1}{2}mu^2+\dfrac{1}{2}mu'^2\\\\K_i=\dfrac{1}{2}m(u^2+u'^2)\\\\K_i=\dfrac{1}{2}m((30)^2+(40)^2)\\\\K_i=1250m\ J[/tex]
Final kinetic energy of the system is :
[tex]K_f=\dfrac{1}{2}mv^2+\dfrac{1}{2}mv'^2\\\\K_f=\dfrac{1}{2}m(v^2+v'^2)\\\\K_f=\dfrac{1}{2}m((50)^2+(0)^2)\\\\K_f=1250m\ J[/tex]
The change in kinetic energy of the system is equal to the difference of final and initial kinetic energy as :
[tex]\Delta K=K_f-K_i\\\\\Delta K=1250m-1250m\\\\\Delta K=0[/tex]
So, the change in kinetic energy of the system as a result of the collision is equal to 0.