To find the maximum speed at which the toolbox will slide on the bed of the truck, we need to compare the maximum static frictional force between the toolbox and the truck bed to the maximum centrifugal force required to keep the toolbox in circular motion around the curve. By setting these forces equal to each other and using the equations for static friction and centripetal acceleration, we can calculate the maximum speed.
Explanation:When a toolbox slides on the back of a truck, the forces acting on the toolbox are the gravitational force pulling it downwards and the frictional force between the toolbox and the surface of the truck bed. In order for the toolbox to slide, the frictional force must be overcome. The maximum static frictional force can be calculated using the equation F_friction = μ * F_normal, where μ is the coefficient of static friction and F_normal is the normal force.
To calculate the maximum speed at which the toolbox will slide, we need to find the maximum centripetal force required to keep the toolbox in circular motion as the truck goes around the curve. The maximum centripetal force can be calculated using the equation F_centripetal = m * a_c, where m is the mass of the toolbox and a_c is the centripetal acceleration.
Setting the maximum static frictional force equal to the maximum centripetal force, we can find the maximum speed at which the toolbox will slide:
μ * F_normal = m * a_c
Since the toolbox is on a horizontal surface, the normal force is equal to the weight of the toolbox, which can be calculated using the equation F_normal = m * g, where g is the acceleration due to gravity. Substituting this in the equation above, we get:
μ * m * g = m * a_c
Simplifying and solving for a_c, we have:
a_c = μ * gNow, we can use the equation for centripetal acceleration to solve for the maximum speed:
a_c = v^2 / r
Solving for v, we have:
v = √(a_c * r)Substituting the values of the radius of the curve and the acceleration due to gravity, we can calculate the maximum speed at which the toolbox will slide.
Learn more about Maximum speed of toolbox sliding on a curved surface here:https://brainly.com/question/29358040
#SPJ12
A force F~ = Fx ˆı + Fy ˆ acts on a particle that
undergoes a displacement of ~s = sx ˆı + sy ˆ
where Fx = 7 N, Fy = −1 N, sx = 3 m, and
sy = 3 m.
Find the work done by the force on the
particle.
Answer in units of J.
Find the angle between F~ and ~s.
Answer in units of ◦
Answer: Work done is 18J
Explanation:
Force F = (Fx, Fy) and Displacement S = (Sx,Sy)
Fx=7N
Fy=-1N
Sx=3m
Sy=3m
F=(7,-1)N and S=(3,3)m
Work done is calculated by taking dot product of force and displacement vector
W=F·S
W=7×3 + (-1)×3
W=21+(-3)=18J
Answer:
18 and 35 degrees
Explanation:
Newton's First Law says that an object at rest will stay at rest, and an object in motion will stay in motion unless:
Question 1 options:
Acted on by a balanced force
Acted on by an unbalanced force
Acted on by equal forces in opposite direction
Acted on by multiple forces
Answer: Acted on by equal forces in opposite direction
Explanation:
Newton's First Law says that every body continue in its state of rest or constant speed on a straight line unless being acted upon by an external force.
Answer:
Acted on by equal forces in opposite direction
Explanation:
Which statements describe ocean currents?
Answer:
Answer: •Currents occur at the surface of and deep within the ocean.
•The Coriolis effect contributes to the direction of current flow.
•Wind direction, the spin of Earth, and differences in temperature
Explanation:
How does a rotating coil inside a magnetic field generate electricity?
The rotating coil allows a different amount of magnetic field lines through the loop while it spins. This means the magnetic field is changing, which induces an electric current.
The rotating coil changes the electric field as it spins. A changing electric field generates a magnetic field, which induces an electric current.
The rotating coil allows the same amount of magnetic field lines through the loop while it spins. This means the magnetic field is constant, which induces an electric current.
The rotating coil maintains a constant electric field as it spins. A constant electric field generates a changing magnetic field, which induces an electric current.
Answer:option A is correct.
Explanation:Because in option C :magnetic field is constant.
Option D:Because in option D,electric field is constant.
Because constant electric and magnetic fields cannot produce electric current.
Option B:A changing electric field cannot produce magnetic field.
Option A:Because a changing magnetic field can produce electric current.
A rotating coil in a magnetic field generates electricity by electromagnetic induction, where a changing magnetic field within the coil induces an electric current.
Explanation:A rotating coil inside a magnetic field generates electricity through a process known as electromagnetic induction. This principle is based on Faraday's Law of Electromagnetic Induction that states a changing magnetic field within a conductive loop induces an electromotive force. As the coil rotates, it cuts across magnetic field lines, inducing a voltage change. The variation in the magnetic field induces an electric current in the coil. This process is the basic working principle behind many electrical generators and motors.
Learn more about Electromagnetic Induction here:https://brainly.com/question/32444953
#SPJ2
a quantity of water is poured into a graduated cylinder, which reads 139 mL. what is the mass of the water in kilograms?
The mass of water is 0.139 kg
Explanation:
The density of a substance is given by the equation
[tex]\rho = \frac{m}{V}[/tex]
where
[tex]\rho[/tex] is the density
m is the mass of the substance
V is its volume
In this problem we have:
V = 139 mL is the volume of water
The density of water is:
[tex]\rho = 1 g/mL[/tex]
Solving the equation for m, we find its mass:
[tex]m=\rho V = (1.0)(139)=139 g[/tex]
And converting into kilograms,
[tex]m=139 g = 0.139 kg[/tex]
Learn more about mass and density:
brainly.com/question/5055270
brainly.com/question/8441651
#LearnwithBrainly
a cart accelerates at 2 m/s^2 when a force of 60 N is applied, what is the mass of the cart?
Answer:
30 kg
Explanation:
Newton's second law:
F = ma
60 N = m (2 m/s²)
m = 30 kg
Answer:
[tex]30\:g[/tex]
Explanation:
Isaac Newton's second law of motion
[tex]\displaystyle ma = F_{net}[/tex]
[tex]\displaystyle \frac{60}{2} = m \\ \\ 30 = m[/tex]
* Now, that bar above 18 is what is known as bar notation, indicating repetition in the digits.
I am joyous to assist you anytime.
Consider the model above. It represents the electrical force. As r increases, the attractive force decreases. How would this model compare to a model for the force of gravity?
Answer:
As we keep on increasing the radius the value of the gravitation force of attraction decreases and as we decrease the radius the gravitation force increases.
Explanation:
Like the coulombs law of electrostatics, the law of gravitation also depends inversely on the square of the value of r. Therefore, as we keep on increasing the value of r the value of the gravitation force decreases and as we decrease the value of the r the value of gravitation force increases.
Gravitation Force=[tex]\frac{Gm_{1}m_{2} }{r^{2}}[/tex]
Coulombs's Law= [tex]\frac{Kq_{1}q_{2} }{r^{2}}[/tex]
Answer:
The answer is C
Explanation:
I did it on usatestprep and got it right
which region is colored orange in the periodic table
Answer:
Alkali Metals
Explanation:
Most commonly, the color represents what type of element it is (noble gas, alkali metal). This is not always true as different tables follow different coloring schemes
Colored tables are important because they give you an extra dimension of information. A typical periodic table is colored according to element groups, which are elements that share chemical and physical properties. Some element groups are easily identified as columns on the periodic table, but as you move across the table, the trends aren't so clear-cut. The metalloids and nonmetals, for example, don't fall neatly into the same column. Color coding helps identify similar elements such as these at a glance.
Final answer:
The orange region on a color-coded periodic table usually represents the f block, including lanthanides and actinides.
Explanation:
In the context of various color-coded periodic tables, the orange region typically represents the f block elements. An example can be found in an empty periodic table, separated into different colored blocks, where the s block is blue, the d block is green, the p block is red, and the f block is orange.
The f block includes lanthanides and actinides, which are typically shown at the bottom of the Periodic Table. These elements are known for their complex electronic configurations and are also referred to as inner transition metals.
A weightlifter is bench-pressing 710 N. He raises the weight 0.65m above his chest. How much work does he do with this lift?
The work done is 6958 J
Explanation:
The work done by the man to raise the weight is the equal to the increase in gravitational potential energy of the weight, so we can write:
[tex]W=mg \Delta h[/tex]
where
(mg) is the weight, with m being the mass and g the acceleration of gravity
[tex]\Delta h[/tex] is the change in height of the weight
In this problem, we have
mg = 710 N (weight)
[tex]\Delta h = 0.65 m[/tex]
Therefore, the work done is
[tex]W=(710)(9.8)=6,958 J[/tex]
Learn more about work:
brainly.com/question/6763771
brainly.com/question/6443626
#LearnwithBrainly
The work done is 461.5 J.
Explanation:
According to Kinetics, the work done is calculated as the product of force which has done work, and the displacement it has imposed. Hence,
[tex]\text {Work done}=F \times s[/tex]
In the problem, the given data, F = 710 N and s = 0.65 m
By applying the given values to the work done equation, we get as follows,
[tex]\text { Work done } = 710 \times 0.65 = 461.5 \mathrm{J}[/tex]
The unit is same as the energy, work done defines when 1 N force acts in a 1 m distance along the force’s direction.
What are centripetal forces. Who made centripetal forces. What is the equation for it?
The centripetal force is the radial force responsible for keeping an object in circular motion; its equation is [tex]F=m\frac{v^2}{r}[/tex]
Explanation:
Whenever an object is in circular motion, there must be a force that makes the object turning away from its "normal" straight trajectory, keeping it along the circular path.
This force always points towards the centre of the circle, and it is called centripetal force.
The equation to calculate the centripetal force for an object in uniform circular motion is:
[tex]F=m\frac{v^2}{r}[/tex]
where
m is the mass of the object
v is its linear speed
r is the radius of the circle
The nature of the centripetal force is always different and depends on the context. For instance:
- For a stone attached to the end of a rope put in horizontal circular motion, the centripetal force is provided by the tension in the string, which pulls constantly the stone towards the centre of the circle
- For a satellite in circular orbit around the Earth, the gravitational attraction between the Earth and the satellite provides the centripetal force
- For a car moving along a circular turn on an unbanked track, the force of frction between the tires of the car and the road provides the centripetal force.
Learn more about circular motion:
brainly.com/question/2562955
brainly.com/question/6372960
#LearnwithBrainly
Centripetal forces are not made by anyone but rather are a type of force that acts on objects moving in a circular path, directed towards the center of the curvature. The equation for centripetal force ({F_c}) is {F_c = m imes v^2 / r}, where {m} is the mass of the object, {v} is the velocity at which the object is traveling, and {r} is the radius of the circular path.
As per physics principles, centripetal force is the force that keeps an object moving in a circular path, always pointing towards the center of the path. It can be provided by various types of familiar forces, such as tension or gravitational force. Newton's third law explains that forces come in action-reaction pairs. When an object is moving in a circle, such as a stone whirled at the end of a string, the tension in the string is the centripetal force, and the stone's inertia that seems to pull away from the center is interpreted as centrifugal force. This feeling of being 'thrown' away from the center, such as when a car turns, is due to the body's inertia and not an actual force exerted outward. The centripetal force is essential in circular motion scenarios and can be described mathematically with Newton's second law applied to objects traveling along circular paths.
at what age u are a teens
Answer:
13 to 19 years old
Explanation:
Because these 6 years there is the word TEEN 13, 14, 15, 16, 17, 18, and 19. but in 20 there is no teen.
PLEASE MARK AS BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Which chemical reaction absorbs energy
Answer:
endothermic reactions
Answer:
endothermic reactions
Explanation:
endothermic reactions means the reaction gets super hot while the surrounding area gets colder. (absorbs energy)
exothermic means the surrounding area gets hot while it gets colder. (releases energy)
Question 3 (5 points)
When there is an angle between the force and the displacement, W=F.d cos O.
True
False
True: when there is an angle between force and displacement, [tex]W=Fd cos \theta[/tex]
Explanation:
The work done by a force when pushing/pulling an object is given by the equation
[tex]W=Fd cos \theta[/tex]
where
F is the magnitude of the force
d is the displacement of the object
[tex]\theta[/tex] is the angle between the direction of the force and of the displacement
We have two extreme cases:
- When the force is parallel to the displacement, then [tex]\theta=0^{\circ}[/tex] and [tex]cos \theta = 1[/tex], so the work done is maximum and simply becomes
[tex]W=Fd[/tex]
- When the force is perpendicular to the displacement, then [tex]\theta=90^{\circ}[/tex] and [tex]cos \theta =0[/tex], so the work done is zero.
Learn more about work:
brainly.com/question/6763771
brainly.com/question/6443626
#LearnwithBrainly
. Which is the transfer of energy as waves moving through space?
conduction
insulation
convection
radiation
Answer:
Radiation is the answer to your question
What connects our muscles to our bones?
Answer:
Tendon connects our muscles to our bones.
Explanation:
A tendon (or sinew) is a tough band of fibrous connective tissue that usually connects muscle to bone and is capable of withstanding tension.
Tendons are similar to ligaments and fasciae; all three are made of collagen.
Ligaments join one bone to another bone; fasciae connect muscles to other muscles.
Tendons and muscles work together to move bones.
The tendon is the part of the muscle that connects directly to the bone.
An electron confined on one-dimensional infinite potential well has an energy of 180ev. What its wavelength?
The wavelength is 91.5 pm ( 91.5 Pico meter).
Explanation:
The formula can be expressed below for electron’s energy,
[tex]\text {Energy of electron}=\frac{p^{2}}{2 m}[/tex]
Where,
p = momentum
m= mass of electron
We know, mass of electron = [tex]9.1 \times 10^{-31} \mathrm{kg}[/tex]
Energy of electron, [tex]1 e V=1.6 \times 10^{-19} \mathrm{J}[/tex]
Therefore, [tex]\text { energy of electron, 180 eV }=180 \times 1.6 \times 10^{-19} J[/tex]
By substituting the known values in the equation, we get,
[tex]180 \times 1.6 \times 10^{-19}=\frac{p^{2}}{2 \times 9.1 \times 10^{-31}}[/tex]
[tex]p^{2}=180 \times 1.6 \times 10^{-19} \times 2 \times 9.1 \times 10^{-31}[/tex]
[tex]p^{2}=5241.6 \times 10^{-50}[/tex]
Taking square root, we get
[tex]\text {Momentum, } p=72.399 \times 10^{-25} \mathrm{kg} . \mathrm{m} / \mathrm{s}[/tex]
We know,
[tex]\lambda=\frac{h}{p}[/tex]
Here, h – Planck constant = [tex]6.626 \times 10^{-34} \mathrm{J.s}[/tex]
So, the wavelength would be,
[tex]\lambda=\frac{6.626 \times 10^{-34}}{72.399 \times 10^{-25}}=0.0915 \times 10^{-34+25}=0.0915 \times 10^{-9} \mathrm{m}[/tex]
Adding [tex]10^{-3}[/tex] in both numerator and denominator we get the value as
[tex]\lambda=0.0915 \times 10^{-9} \times \frac{10^{-3}}{10^{-3}}=0.0915 \times 10^{3} \times 10^{-12}=91.5 \mathrm{pm}[/tex]
Where, pm – Pico meter - [tex]10^{-12}[/tex]
What is the current through a 25 ohm resistor connected to a 5.0 V power supply? a 0.20 A b 5.0 A c 25 A d 30 A
The current through a 25 ohm resistor connected to a 5.0 V power supply is 0.2 A. Option A is correct.
Ohm's Law:
The voltage of the two points between in a conductor is directly proportional to the current flows through the conductor.
V = IR
Where,
V = voltage = 5.0 V
I = current = ?
R = resistance - 25 ohm
Put the values in the equation,
5 = 25 x I
I = 0.2 A
Therefore, the current through a 25 ohm resistor connected to a 5.0 V power supply is 0.2 A.
To know more about Ohm's Law:
https://brainly.com/question/796939
Will give brainliest to the correct answer.
Answer:
The acceleration of the car is [tex]1.432 m/s^{2}[/tex]
Explanation:
We are assuming rightward coordinate positive and all quantities are along this direction
We know,
[tex]a = \frac{dv}{dt}[/tex]
where a - acceleration, v=velocity, t=time and x=displacement
multiply by dx in both sides
[tex]adx = \frac{dv}{dt} dx[/tex]
but we know [tex]\frac{dx}{dt} = v[/tex]
Therefore,
[tex]adx = vdv[/tex]
Here we integrate both sides with proper limits
x ranges from 0 to 110 as v ranges from 29 to 34
p = 0, r = 110, q = 29, s = 34
[tex]a\int\limits^r_pdx = \int\limits^s_q {v} \, dv[/tex]
a is given as constant thus can be pulled out of the integration
[tex]a[110-0] = [\frac{34^{2}}{2}- \frac{29^{2}}{2}][/tex]
Therefore,
Accelaration of the car is [tex]1.432 m/s^{2}[/tex]
Note:
Here moving to the right doesn't mean anything significant other than the fact that all quantities are pointing in that direction. Therefore obtained acceleration is also towards the right
If you know equation of motion for constant acceleration as
[tex]v^{2} -u^{2} = 2as[/tex] you can plug in values in this equation to obtain value of a
v - final velocity
u - initial velocity
s - displacement
Convert an absolute pressure of 6.31 ✕ 105 N/m2 to gauge pressure in lb/in2
Answer:
The gauge pressure is = 91.52 lb/in²
Explanation:
Given data,
The value of pressure in S.I unit, = 6.31 x 10⁵ N/m²
The conversion formula for SI unit into US Customary Units is given by,
1 N/m² = 1.45 x 10⁻⁴ lb/in²
Using the conversion formula, the new value of pressure becomes,
Pressure = 6.31 x 10⁵ X 1.45 x 10⁻⁴ lb/in²
= 91.52 lb/in²
Hence, the gauge pressure is, ς = 91.52 lb/in²
To convert the absolute pressure of 6.31 × 10^5 N/m² to gauge pressure in lb/in², subtract the atmospheric pressure from the absolute pressure and then convert the gauge pressure from N/m² to lb/in² using the conversion factor. Therefore, the gauge pressure is approximately 76.8 lb/in.².
Explanation:To convert the absolute pressure of 6.31 × 10^5 N/m² to gauge pressure in lb/in², we can use the conversion factor of 1 lb/in.² = 6.90 × 10³ N/m². First, we'll calculate the gauge pressure in N/m² by subtracting the atmospheric pressure (which is 1 atm) from the absolute pressure:
Gauge Pressure = Absolute Pressure - Atmospheric PressureGauge Pressure = 6.31 × 10^5 N/m² - (1.013 × 10^5 N/m²)Gauge Pressure = 5.3 × 10^5 N/m²Next, we'll convert the gauge pressure from N/m² to lb/in²:
Gauge Pressure in lb/in.² = Gauge Pressure in N/m² × Conversion FactorGauge Pressure in lb/in.² = (5.3 × 10^5 N/m²) × (1 lb/in.²/6.90 × 10³ N/m²)Gauge Pressure in lb/in.² ≈ 76.8 lb/in.²Therefore, the gauge pressure is approximately 76.8 lb/in.²
If a ball is rolling at a velocity of 1.5 meters per second and has a momentum of 10.0 kg meters per second what is the mas6of the ball
The mass of the ball is 6.67 kg
Explanation:
The momentum of an object is given by:
[tex]p=mv[/tex]
where
p is the momentum
m is the mass of the object
v is its velocity
It must be noted that momentum is a vector quantity, so it has both magnitude and direction (but here only the magnitude is given).
For the ball in this problem, we have:
v = 1.5 m/s is its velocity
p = 10.0 kg m/s is its momentum
Solving the formula for m, we find the mass of the ball:
[tex]m=\frac{p}{v}=\frac{10}{1.5}=6.67 kg[/tex]
Learn more about momentum:
brainly.com/question/7973509
brainly.com/question/6573742
brainly.com/question/2370982
brainly.com/question/9484203
#LearnwithBrainly
One type of entrepreneurial business could be an online business, and the article
lists Amazon as an example. If you get a job tomorrow working at Amazon, does
that make you an entrepreneur? Why or why not?
Answer:
No you would not be an entrepreneur
Explanation:
An entrepreneur is someone who creates a business, and also organize the business affairs. The entrepreneur takes on the biggest financial risk.
Answer:
No, taking a job with Amazon does not make one an entrepreneur
Explanation:
An entrepreneur is an individual that sets up a business or businesses (with the aim of making profit). In any organization, the person or persons that start up the business or businesses are the entrepreneurs while the people employed are the employee of the business/businesses.
Entrepreneurs usually create jobs for the employee and not the other way round (even when the idea could come from the employee).
From the above, it can be deduced that a person who gets a job at Amazon is an employee while the owner of Amazon is the entrepreneur.
what is the role of a generator in producing electricity
Answer:
It stores electrical energy for later
Explanation:
Answer:
The generator transforms the mechanical energy of the turbine into electrical energy.
Explanation:
By applying a force of 55 N, a pulley system can lift a box with a mass of 20.0 kg. What
is the mechanical advantage of the pulley system?
The mechanical advantage of the pulley is 3.56
Explanation:
The Mechanical Advantage (MA) of a pulley system is given by
[tex]MA=\frac{Load}{Effort}[/tex]
where
Load is the weight of the object lifted
Effort is the force applied in input
For the pulley in this problem, we have:
Effort = 55 N
While the load is the weight of the box of mass m = 20.0 kg:
[tex]Load = mg = (20.0 kg)(9.8 m/s^2)=196 N[/tex]
Substittuing, we find the MA of the pulley:
[tex]MA=\frac{196}{55}=3.56[/tex]
#LearnwithBrainly
a 3 kg piece of putty that is moving with a velocity of 10 m/s collides and sticks to an 8 kg bowling ball that was at rest. what is their velocity as they roll away together
The final velocity is 2.7 m/s
Explanation:
We can solve this problem by using the principle of conservation of momentum: in fact, in absence of external forces, the total momentum of the system must be conserved before and after the collision.
Therefore we can write:
[tex]p_i = p_f\\m_1 u_1 + m_2 u_2 = (m_1+m_2)v[/tex]
where:
[tex]m_1 = 3 kg[/tex] is the mass of the putty
[tex]u_1 = 10 m/s[/tex] is the initial velocity of the putty (we take its direction as positive direction)
[tex]m_2 = 8 kg[/tex] is the mass of the ball
[tex]u_2 = 0 m/s[/tex] is the initial velocity of the ball (at rest)
[tex]v[/tex] is the final combined velocity of the two putty+ball
Re-arranging the equation and substituting the values, we find the final combined velocity:
[tex]v=\frac{m_1 u_1 + m_2 u_2}{m_1+m_2}=\frac{(3)(10)+0}{3+8}=2.7 m/s[/tex]
And the positive sign indicates their final direction is the same as the initial direction of the putty.
Learn more about momentum here:
brainly.com/question/7973509
brainly.com/question/6573742
brainly.com/question/2370982
brainly.com/question/9484203
#LearnwithBrainly
Accuracy and precision mean the same thing.
True or
False
Answer:
Accuracy refers to how close measurements are to the "true" value, while precision refers to how close measurements are to each other
The given statement " Accuracy and precision mean the same thing" is false because accuracy and precision are two distinct concepts used to describe the quality of measurements.
1. Accuracy: Refers to how close a measured value is to the true or accepted value. In other words, it measures the correctness of a measurement. A measurement is considered accurate if it is close to the true value.
2. Precision: Refers to the consistency or reproducibility of measurements. It describes how close multiple measurements of the same quantity are to each other. Precision does not necessarily imply accuracy; measurements can be precise but not accurate if they are consistently off-target.
In summary, accuracy relates to correctness, while precision relates to consistency. A measurement can be accurate, precise, both, or neither. Therefore, accuracy and precision do not mean the same thing, and it is essential to distinguish between the two when evaluating the reliability of measurements.
To learn more about Accuracy and precision here
https://brainly.com/question/31961485
#SPJ2
PLZZZZZ ANSWER Which example describes a nonrenewable resource?
Everyone in our neighborhood uses solar panels to generate electricity to run their pool pumps.
Once up and running, the power plant will convert the energy from tides and waves into electricity.
There is a long stretch of land in the desert with many windmills that are able to generate enough electricity to run the town.
There are drilling platforms all along the coast that are used to drill for natural gas that can be used to generate electricity.
Answer:
I believe that the answer is D. There are drilling platforms all along the coast that are used to drill for natural gas that can be used to generate electricity.
Explanation:
Solar panels use the sun, and that is renewable.
The power plant uses tides and waves, they are renewable.
Windmills use wind, that is renewable.
So, the answer is D.
Answer:
D. There are drilling platforms all along the coast that are used to drill for natural gas that can be used to generate electricity.
show that the centre of a rod of mass M and length L lies midway between the ends assuming that the rod has uniform cross section per unit length
Explanation:
The cross section per unit length is uniform, so ρ is constant.
The center of mass is therefore:
x_avg = (∫₀ᴸ x ρ dL) / (∫₀ᴸ ρ dL)
x_avg = (∫₀ᴸ x dL) / (∫₀ᴸ dL)
x_avg = (½ L²) / (L)
x_avg = ½ L
A 5kg rock is thrown off a cliff that is 20 meters high onto the beach. What was the ricks velocity when it hits the beach?
The final velocity of the rock is 19.8 m/s
Explanation:
The motion of the rock is a free fall motion (subjected only to the force of gravity), with constant acceleration [tex]g=9.8 m/s^2[/tex] towards the ground. Therefore, we can use the following suvat equation:
[tex]v^2-u^2=2as[/tex]
where
v is the final velocity
u is the initial velocity
a is the acceleration
s is the vertical displacement
For the rock in this problem,
u = 0 (initial velocity is zero)
[tex]a=g=9.8 m/s^2[/tex]
s = 20 m (height of the cliff)
Solving for v,
[tex]v=\sqrt{u^2+2as}=\sqrt{0+2(9.8)(20)}=19.8 m/s[/tex]
Learn more about free fall motion:
brainly.com/question/1748290
brainly.com/question/11042118
brainly.com/question/2455974
brainly.com/question/2607086
#LearnwithBrainly
What is the magnitude of component of a vector in
right angle to itself, ?
Yes, but it's a null vector .So,no vector can have a component at right angle to itself unless it is a zero vector.
The magnitude of a vector component at a right angle to the vector is zero, and the condition for the resultant of two vectors of equal magnitude to equal the magnitude of either one is when the angle between them is 0 or 180 degrees.
The magnitude of the component of a vector at a right angle to itself is always zero because a vector cannot have a component in the direction that is perpendicular to its direction of action. When we calculate the magnitude A and direction of a vector from its perpendicular components Ax and Ay, relative to the x-axis, we use trigonometric relationships, where Ax = A×cos(θ) and Ay = A×sin(θ).
Now, under the specific condition when two vectors are at right angles to each other, the magnitudes of their sum and difference are the same. This happens because the vectors are orthogonal, and their components in the direction of each other are zero. We also know that when the components are equal and vectors are added with an angle of 90 degrees between them, the magnitude of the resultant equals the magnitude of either vector multiplied by the square root of two. This is due to Pythagoras' theorem applied in the context of vector addition.
Which of the following diagrams represent a balanced force