Force , Time,and Distance
How do I find the acceleration in this problem?
Final answer:
To calculate acceleration, determine the change in velocity and the change in time, then use the formula a = ∆v/∆t where 'a' is acceleration, ∆v is the change in velocity, and ∆t is the change in time.
Explanation:
To find the acceleration in a problem, follow these general steps:
Determine the change in velocity (Δv), which is the difference between the final velocity (Vf) and the initial velocity (Vo).
Identify the change in time (Δt) over which the velocity change occurs.
Use the formula for average acceleration, which is a = Δv/Δt, where 'a' represents the acceleration, Δv is the change in velocity, and Δt is the change in time.
For instance, if a train starts at rest (Vo = 0) and reaches a velocity of 30.0 km/h (Vf) in 20.0 seconds (Δt), convert the velocity to meters per second (since 1 km/h is equal to approximately 0.27778 m/s), calculate Δv, and then divide by Δt to find acceleration.
Which of the following is true about genes?
A.
Genes are responsible for all the traits of an organism.
B.
In humans, genes are passed to an offspring from two parents.
C.
The genes of a particular organism can never change throughout its lifetime.
D.
Genes are made up of smaller molecules known as chromosomes.
A block with mass m1 = 4.50 kg and a ball with mass m2 = 7.70 kg are connected by a light string that passes over a frictionless pulley, as shown in figure (a). The coefficient of kinetic friction between the block and the surface is 0.300.
(a) Find the acceleration of the two objects and the tension in the string.
(b) Check the answer for the acceleration by using the system approach. (Use the following as necessary: m1, m2, μk, and g.)
(c) What if an additional mass is attached to the ball? How large must this mass be to increase the downward acceleration by 60%?
For (a) I calculated acceleration to be 5.10 m/s^2 and tension to be 36.2N.
For (b) I the equation is a = (m2g-ukm1g)/(m1+m2)
It is (c) that I cannot figure out. Can anybody please help me?
The force acting on objects connected by a string results in a tension in the string
(a) The acceleration of the two objects is approximately 5.106 m/s²The tension in the string is approximately 36.2208 N
(b) [tex]The \ acceleration, \ a= \dfrac{Tension \ in \ string, T - Friction \ force,\, F_f}{Mass \ of \ block, \ m_1}[/tex](c) To increase the downward acceleration by 60%, the required additional mass to add is approximately 22.78 kgThe reasons why the above values are correct are as follows:
The given parameters are;
Mass of the block, m₁ = 4.50 kg
Mass of the ball, m₂ = 7.70 kg
Path over which the string connecting the two blocks passes = Frictionless pulley
Coefficient of friction between the block and the surface, μ = 0.300
Required:
(a) To find the acceleration of the two objects and the tension in the string
Solution:
The motion of the system is due to the weight of the ball, m₂·g
The opposing force to motion of the system is due to friction of the block, m₁·g·μ
The block and the ball connected by the string have a common acceleration given as follows;
(m₁ + m₂) × a = m₂·g - m₁·g·μ
Where;
a = The acceleration of the two objects
Therefore, we get;
[tex]a = \dfrac{g\cdot (m_2 - m_1\cdot \mu_k)}{m_1 + m_2}[/tex]
Which gives;
[tex]a = \dfrac{9.81 \times (7.70 - 4.50\times 0.300)}{4.50 + 7.70} \approx 5.106 \ m/s^2[/tex]
The acceleration of the two objects, a ≈ 5.106 m/s²
Tension in the string:
Tension in the string, T = m₂×(g - a)
∴ T = 7.70 × (9.81 - 5.106) ≈ 36.2208
The tension in the string, T ≈ 36.2208 N
(b) The force due tension in the string is given as follows
The force due to friction = 4.50 × 9.81 × 0.300 = 13.2435
Force due to friction, [tex]F_f[/tex] = 13.2435 N
Net force acting on block, F = T - [tex]F_f[/tex]
∴ F = 36.2208 N - 13.2435 N = 22.9773 N
The acceleration of the block, a, is given as follows;
[tex]a = \dfrac{22.9773}{4.5} \approx 5.106[/tex]
Therefore, the acceleration, a is correct as a ≈ 5.106 m/s²
(c) From the equation for acceleration, we have;
[tex]a = \dfrac{g\cdot (m_2 - m_1\cdot \mu_k)}{m_1 + m_2}[/tex]
When the acceleration is increased by 60%, we get
60% increase of a = 1.6·a, and the new mass of the ball = m₃, which gives;
[tex]1.6 \cdot a = \dfrac{g\cdot (m_3 - m_1\cdot \mu_k)}{m_1 + m_3}[/tex]
Plugging in the known values of a, m₁, g, and [tex]\mu_k[/tex] gives;
[tex]1.6 \times 5.106 = \dfrac{9.81\times (m_3 - 4.5\times 0.300)}{4.50 + m_3}[/tex]
1.6 × 5.106 × (4.50 + m₃) = 9.81 × (m₃ - 4.5×0.300)
8.1696·m₃ + 36.7632 = 9.81·m₃ - 13.2435
9.81·m₃ - 8.1696·m₃ = 36.7632 + 13.2435 = 50.0067
1.6404·m₃ = 50.0067
[tex]m_3 = \dfrac{50.0067}{1.6404} \approx 30.48[/tex]
The added mass Δm = m₃ - m₂
∴ Δm = 30.48 kg - 7.70 kg = 22.78 kg
The required additional mass to increase the downward acceleration by 60%, Δm = 22.78 kg
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In order for a fish to see a bug just above the surface of the water, the image of the bug travels in the form of light waves from the insect through the air and crosses into the water until it reaches the fishes' eye. Which statement is true regarding the light wave as it travels?
Question 7 options:
a.The light waves will bounce off the surface of the water and the fish will see it.
b.The light waves will bend as they hit the water and slow down because water is a more dense medium than air.
c.The light waves will travel straight from the bug to the fishes' eye because that is the most direct path.
d.The light waves will travel straight from the bug to the fishes' eye because there is no change in medium.
Chemical properties of an acid include...
Corrosive, increases the concentration of hydrogen ions when added to water, forms hydrogen gas when it comes in contact with a metal, and forms salt and water when added to a base.
Corrosive, tastes sour, forms hydrogen gas when it comes in contact with a metal, and feels sticky to the touch.
Corrosive, increases the concentration of hydrogen ions when added to water, reacts with metals to form Hydrogen, and tastes sour.
Taste sour, increases the concentration of hydrogen ions when added to water, frequently burn nose when smelt, and forms salt and water when added to a base.
Answer: Option (a) is the correct answer.
Explanation:
Chemical properties are defined as the properties that show chemical nature of a substance or compound.
For example, toxicity, reactivity, combustion etc are all chemical properties.
Properties in which there is no change in chemical nature of a substance is known as physical property.
For example, solubility, density, volume, mass etc are all physical properties.
When a substance becomes corrosive in nature then it means oxidation of substance has occurred.
When concentration of hydrogen ions increases then it means acidity of a substance increases.
When an acid comes in contact with a metal then it releases hydrogen atoms.
For example, [tex]2HCl + Mg \rightarrow MgCl_{2} + H_{2}[/tex]
When we add an acid to a base then it will result in the formation of salt and water.
For example, [tex]HCl + NaOH \rightarrow NaCl + H_{2}O[/tex]
An acid does not feel slippery but a base feels slippery on touch.
Thus, we can conclude that chemical properties of an acid include corrosive, increases the concentration of hydrogen ions when added to water, forms hydrogen gas when it comes in contact with a metal, and forms salt and water when added to a base.
Asexual organisms, as compared to sexual organisms, tend to be smaller, have shorter life spans, and produce little or no genetic variability between generations. This makes it harder for an individual asexual organism to survive and reproduce. What is one advantage that asexual organisms have that helps them to overcome these disadvantages? A. They have higher reproductive rates. B. They use energy more efficiently. C. They never need to sleep. D. They are able to find food easier.
a) they have higher reproductive rates
What causes changes in weather?
A batter hits two baseballs with the same force. One hits the ground near third base. The other is a home run out of the park. Where was there more work done?
a. The ball that went out of the park shows more work because the force applied was greater.
b. The ball that hit near third base shows more work because it hit the ground much harder.
c. The ball that went out of the park shows more work because the distance was greater.
d. The ball that hit near third base shows more work because the force applied was greater.
More work was done on the baseball that went out of the park because it traveled a greater distance. Work in physics is determined by applying a force over a distance.
Explanation:In physics, work is defined as the amount of energy transferred by a force over a distance. The equation for work is 'W = Fd' where 'W' is work, 'F' is force, and 'd' is distance. In the question given, the force applied to both baseballs was the same but the distances they traveled were different. The baseball that went out of the park traveled a greater distance. Therefore, more work was done on the ball that went out of the park, because the same force moved it over a greater distance. So the correct answer is 'c. The ball that went out of the park shows more work because the distance was greater.'
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Which piece of evidence did Alfred winger used to develop the theory of continental drift
What will happen to this current if a magnet is brought near the cord?
Answer:
It will exert a force on the electric current.
Explanation:
Select all of the examples of a base.
Vinegar
Baking soda
Lemons
Tomatoes
Bleach
Soap
Bananas
Ammonia
Answer:
The following are bases: baking soda, bleach, soap, and ammonia.
The other items are acidic.
Explanation:
Bases have four different properties. They are bitter, feel slippery, do not react with carbonates, and turn red litmus paper blue.
In comparison, an acid tastes sour, reacts with metal and carbonates, and turns blue litmus paper red.
When you lift a book from the ground to your desk, what kind of work do you do, negative or positive? By lifting the book, what do you change? Does the book gain or lose energy? What kind of energy?
A girl floating in the ocean and watches 12 wave crests pass her in 46 s. Calculate the wave frequency and period?
The frequency of the ocean waves is approximately 0.261 Hz, and the period is approximately 3.83 seconds, calculated based on the observation that 12 wave crests passed the observer in 46 seconds.
To calculate the wave frequency and period of ocean waves that a girl floating in the ocean observes, you can use the following definitions and formulas:
Frequency (f) is the number of wave crests passing a fixed point per unit of time. It is measured in hertz (Hz), which is equivalent to one wave per second.Period (T) is the time it takes for one complete wave cycle to pass a point. It is the inverse of the frequency and is measured in seconds (s).Given that 12 wave crests pass the observer in 46 seconds, the frequency (f) can be calculated as:
f = Number of waves / Time = 12 waves / 46 s
≈ 0.261 Hz
To find the period (T), you can use the formula:
T = 1 / f
≈ 1 / 0.261 Hz
≈ 3.83 s
Therefore, the frequency of the waves is approximately 0.261 Hz, and the period is approximately 3.83 seconds.
The ability to regulate the amount of charge flowing in a circuit is
Pennfoster:
(A. resistance.)
B. direct current.
C. alternating current.
(D. voltage.)
Which fact is NOT true about gravity? Gravity depends on distance. Gravity depends on weight. The force of gravity between two objects will never be 0. Gravity depends on mass.
Answer:
I'm not sure if this is true but I think that gravity depends on weight is not true
what type of adaptation helps a living thing hide in its environment
a 2-kg object is dropped from a height of 1000 m. What is the force of air resistance on the object when it reaches terminal velocity
Bowling United States know that water boils at 212°F in Europe people know that the water boils at 100°C is the water in the US different than the water in Europe what explains the two different temperatures
How are the energy of infrared, visible light and ultraviolet rays related? And why?
A) Infrared contains the least energy and ultraviolet contains the most energy. The energy of a wave is proportional to its wavelength.
B) Infrared contains the most energy and ultraviolet contains the least energy. The energy of a wave is proportional to its wavelength.
C)
Infrared contains the least energy and ultraviolet contains the most energy. The energy of a wave is inversely proportional to its
wavelength.
D)
Infrared contains the most energy and ultraviolet contains the least energy. The energy of a wave is inversely proportional to its
wavelength.
Answer: The correct answer is Option C.
Explanation:
Energy of the Electromagnetic Spectrum is given by the Planck's equation:
[tex]E=h\nu[/tex]
Where,
E = Energy of the wave
h = Planck's constant
[tex]\nu[/tex] = Frequency of the wave
And we know that,
[tex]\nu=\frac{c}{\lambda}[/tex]
where,
c = Speed of light
[tex]\lambda[/tex] = Wavelength of the wave
Putting the value of frequency in energy equation, we get:
[tex]E=\frac{hc}{\lambda}[/tex]
From the above relation, we get that energy is inversely related to wavelength of the wave.
From the spectra, we know that order of wavelength follows:
Infrared > Visible > UV
So, the order of energy gets reversed and the order becomes:
Infrared < Visible < UV
From the above information, we conclude that the correct option is Option C.
If a star does not emit a significant amount of visible radiation, what could you conclude?
a)It will not be able to be seen
b)it is a black hole
c)It is a very intense star
d)It is not a very intense star
Answer:
definitely A) it will not be able to be seen
Explanation:
in real machines , efficiency is always
how high is a 0.5 kg squirrel sitting if it has 36 j of energy
The squirrel is sitting at a height of 7.35 m.
The energy possessed by a body by virtue of its position is called potential energy.
If the squirrel has a mass m and if it sits at a height h then, the potential energy E of the squirrel is given by,
[tex] E=mgh [/tex]
here, g is the acceleration due to gravity.
Given:
[tex] m=0.5 kg;E=36 J [/tex]
Take the value of acceleration due to gravity [tex] g=9.8 m/s^2 [/tex]
Rewrite the equation for energy in terms of h.
[tex] h=\frac{E}{mg} [/tex]
Substitute the given values and calculate the value of h.
[tex] h=\frac{E}{mg} \\ =\frac{36 J}{(0.5 kg)(9.8 m/s^2)} \\ =7.35 m [/tex]
The squirrel is at a height of 7.35 m
In Faraday's experiment if instead of moving the magnet towards the coil we move the coil towards the magnet, will there be any induced current? Justify. Compare 2 cases
which two forms of electromagnetic energy mostly passes through the atmosphere to Earth's surface
Final answer:
The two forms of electromagnetic energy that mainly pass through Earth's atmosphere are visible light and certain microwaves, which are crucial for life and climate balance.
Explanation:
The two forms of electromagnetic energy that mostly pass through the Earth's atmosphere to reach the surface are visible light and certain microwave frequencies. While our atmosphere acts as a shield, it selectively filters out most other wavelengths of incoming solar radiation. However, it allows the transmission of the majority of visible light and certain bands of the infrared spectrum, while absorbing harmful ultraviolet rays and other frequencies. This filtering is crucial for protecting life on Earth and for the climate balance by controlling the energy received at the surface.
a non reactive metal can be identified from other metals because it's surface is?
Astronomers use tiny wobbles of distant stars to detect the presence of planets orbiting those stars. This occurs because the star exerts a gravitational pull on the planet while the planet A) repels the star it orbits. B) exerts no force on the star. C) creates friction between itself and the star. D) exerts a gravitational pull on the star it orbits.
Answer:
D) exerts a gravitational pull on the star it orbits
Explanation:
When light from a distant star appears to slightly red shift or slightly blue shift i.e., it seems to sometimes move away from us and sometimes move towards us, it is most likely to have planets around it. This method is known as Doppler spectroscopy.
This happens because of the unequal masses of the planet and the star the center of gravity does not lie in between them but rather in the star itself. Around this center of gravity the planet and the star will move. This causes the star to wobble.
when you lift a book from the ground to your desk, what kind of work do you do, negative or positive? by lifting the book what do you change? does the book gain engery or lose engery? what kind of engery?
A ball is dropped and falls with an acceleration of 9.8 m/s2 downward. It hits the ground with a velocity of 49 m/s downward. How long did it take the ball to fall to the ground?
if a droplet has 3 extra electrons, what is its measured charge? A. 1/3 of an elementary charge B. 1 elementary charges. C. 2 elementary charges. D. 3 elementary charges.
If a droplet has 3 extra electrons, the measured charge will be three elementary charges.
Elementary charges:It is the amount of charge carried by a single photon or electron. It is a physical constant that has the value of about [tex]1.6 \times 10^{-19 } \rm \ C[/tex].If a droplet has 3 extra electrons means it has 3 extra elementary charges.The charge will be 3 x [tex]1.6 \times 10^{-19 } \rm \ C[/tex].Therefore, if a droplet has 3 extra electrons, the measured charge will be three elementary charges.
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If you drop a gum rapper on the floor is that pollution