In the apparatus shown above, one end of a string of length L is attached to a block of mass M and the other end is connected to the axle of a motor that rotates, causing the block to move in a circle of radius R at a constant speed vT such that the string makes an angle θ with the vertical. A student wants to use the apparatus to make measurements and create a graph that can be used to estimate the acceleration g due to gravity at the surface of Earth. The student can adjust the motor to achieve different tangential speeds of the block
Answers
Newton's second law allows finding the result for the type of graph to find the gravity acceleration is:
The student must make a graph of the tangential velocity versus the tangent of the angle and of the slope to find the value of gravity.g = [tex]\frac{slope}{\sqrt{L} }[/tex]
Oscillatory motion is a simple harmonic motion where the restoring force is proportional to the displacement.
Newton's second law gives a relationship between the net force, the mass and the acceleration of a body, in the attached we can see a free body diagram of the system, let's apply Newton's second law.
[tex]t_y - W =0 \\T_x = m a[/tex]
Since the movement is circular, the acceleration is centripetal.
[tex]a = \frac{v^2}{r}[/tex]
Let's substitute.
[tex]t_x = m \frac{v^2}{r}[/tex]
Let's use trigonometry to find the radius of the circle and the stress component.
sin θ = [tex]\frac{r}{L}[/tex]
r = L sin θ
sin θ = [tex]\frac{T_x}{T}[/tex]
cos θ = [tex]\frac{T_y}{T}[/tex]
Tₓ = T sin θ
[tex]T_y[/tex] = T cos θ
Let's substitute.
T sin θ = [tex]\frac{m v^2 }{L sin \theta }[/tex]
T sin² θ = [tex]\frac{m}{L} \ v^2[/tex]
From the other equation.
[tex]T_y= W \\T cos \theta = m g[/tex]
Let's write our system of equations.
T sin² θ = [tex]\frac{m}{L} \ v^2[/tex]
T cos θ = m g
We solve the system by squaring the second equation and dividing.
tan² θ = [tex]\frac{1}{g^2 L } \ v^2[/tex]
L g² tan² θ = v²
v = g [tex]\sqrt{L}[/tex] tan θ
Consequently, if the student makes a graph of the velocity versus the tangent of the angle, he obtains a straight line and the slope is:
slope = g [tex]\sqrt{L}[/tex]
From this expression you can calculate the acceleration of gravity.
[tex]g= \frac{slope}{\sqrt{L} }[/tex]
In conclusion using Newton's second law we can find the result for the type of graph to find the gravity acceleration is:
The student must make a graph of the tangential velocity versus the tangent of the angle and of the slope to find the value of gravity.[tex]g = \frac{slope}{\sqrt{L} }[/tex]
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Related Questions
Governments have the most economic power in which economic system?
A Command economy
B. Mixed economy
C. Traditional economy
D Market economy
Answers
Answer:
A
Explanation:
thats what I think , though not sure
Answer:
The answer is A. Command economy
Explanation:
In a command economy, the government has the most control.
As a moon in a very elliptical orbit moves closer to and then farther from a planet, gravity flexes the moon with tides, and friction heats the interior. This process is referred to as
Answers
Answer:
i think it was kneading because of that constant gravitational war between two interstellar celestial bodies one is also molding the other with its gravitational force so that way between the moon and the earth is a gravitational war between the two objects
Explanation: DO BE WARNED . i am not 100% sure if this was the correct term or not so please do consider this warning.
A Ferris wheel rotates 12 times on for each ride. A passenger is 5 meters from the center of the wheel. The ride takes 10 minutes to complete. What is the angular speed (in radians/second) of the passenger?
Answers
The angular speed of the passenger in radians per second is 0.126 rad/s.
The given parameters;
number of turns of the wheel, N = 12 position of the passenger from the center of the wheel, r = 5 mtime of motion, t = 10 minutes, = 600 sThe angular speed of the passenger in radians per second is calculated as follows;
[tex]\omega = \frac{2\pi N}{T} \\\\\omega = \frac{2\pi \times 12 \ rad}{600 \ s} \\\\\omega = 0.126 \ rad/s[/tex]
Thus, the angular speed of the passenger in radians per second is 0.126 rad/s.
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A bicycle is traveling at 10 m/s on a flat road. As it reaches a hill, it starts accelerating,
eventually reaching 36 m/s. What is its average speed on the hill?
Answers
Answer:
23 m/s
Explanation:
Think
How did Asian art start ?
Answers
Answer:
The history of Asian art includes a vast range of arts from various cultures, regions and religions across the continent of Asia. ... Central Asian art primarily consists of works by the Turkic peoples of the Eurasian Steppe, while East Asian art includes works from China, Japan, and Korea.
The Evolution of Asian Art
History marks the beginning with Hindu and Buddhist art around the 5th century BCE. These ancient religions were largely represented by an introspective way of life, and their followers adorned their temples with elaborately carved walls and stone statues.
What is the average speed of a bus that travels 170 km in 2 hours and then slows down to 70 km/hr?
Answers
Answer: 77.5
Explanation:
Okay so, You have 3 numbers in this equation, 170, 2, and 70.
Divide 170 by 2= 85
Add 85 + 70= 155
Now divide 155 by 2= 77, R1 = 77 1/2. You can turn 77 1/2 to 77.5
Answer: 77.5
Michelle drops a 15kg box off of the Eiffel Tower. After 3 seconds, how fast is the box moving in m/s? (Neglect air resistance.)
Answers
if a wave has a period of 0.25 seconds what is its frequency?
Answers
Answer:
4
Explanation:
1/.25 =4
Four importance of soil water
Answers
Answer:
nitrogen, phosphorus, potassium, and calcium
Explanation:
Just put it.
PLEASE ANSWER NEED HELP!!!!!!!! PLEASE THE CORRECT ANSWER!!!!!!
Which BEST explains why puberty is such a challenging time to maintain a positive body image?
A.
Puberty is full of negativity for most people.
B.
Puberty causes a lot of uncomfortable changes.
C.
Puberty is a temporary state, so any issues will pass.
D.
Puberty requires a lot of discipline to negotiate successfully.
PLEASE NO LINKS
Answers
Answer:
B
Puberty is a challenging time to maintain positive body image, because it causes uncomfortable changes. While A, C, & D are true, they do not explain why it is a challenging time to maintain positive body image.
Explanation:
Hope this helps! Shalom
Answer: B. Puberty causes a lot of uncommon changes.
Explanation:
Determine the momentum of a 20 kilogram object that is
moving at 4.0 meters per second.
Answers
Answer:
80 kg.m/sExplanation:
The momentum of an object can be found by using the formula
momentum = mass × velocity
From the question
mass = 20 kg
velocity = 4 m/s
We have
momentum = 20 × 4 = 80
We have the final answer as
80 kg.m/sHope this helps you
PLEASE ANSWER NEED HELP!!!!!!!! PLEASE THE CORRECT ANSWER!!!!!!
Shondra has heard some conflicting advice. On one hand, she heard that weighing yourself every day is important to maintain a healthy weight. On the other hand, she learned that even developing healthy habits for several weeks does not lead always lead to weight loss. She is afraid that if she changes her habits and does not see results on the scale, she will just get discouraged. What is the BEST response to Shondra?
A.
The scale should just be one method of monitoring her overall health.
B.
She will actually see weight loss right away if she changes her habits.
C.
There are very few ways to document weight loss other than the scale.
D.
Regular weigh ins should begin once she has already lost some weight.
PLEASE NO LINKS
Answers
Weight loss for a fat body does not make a sense of healthy habits. The scale should just be one method of monitoring her overall health.
What are healthy habits?Healthy habits include good food habits, regular exercising, personal hygiene and positive mind. These all factors affecting our health and it not just our weight.
Body weight can be controlled up to a limit by healthy habits and and controlled food. However, the some people might have a nature of fatty body or skelt irrespective of their habits. In such cases people no need to worry on their health by just looking on their weight.
Weight scale should just be one method of monitoring the overall health. By losing weight or gaining weight we cant said to be in good health. Therefore, option A be the best response to Shondra.
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What is the relationship between the surface tension and viscosity of a liquid?
Answers
Answer:liquid
Explanation:
(a) Describe a method they could use to find the density of the metal
Answers
What is the rate at which work is done?
Answers
Answer:
The rate at which work is done would be power. Bonus: The SI unit of work is Joules.
Explanation:
Hope this helped, nya~ :3
When battery voltage drops below _________volts while cranking, the voltage-sensing relay will typically open-circuit the starter relay circuit.
Answers
What is the speed of a bird of mass 8kg which has kinetic energy of 8836J?
Answers
Answer:
For the bird moving in a straight line, the kinetic energy is one-half the product of the mass and the square of the speed: Ek=12mu2.
A car, starting from rest, accelerates in a straight-line path at a constant rate of 2.5 m/s2. How far will the car travel in 12 seconds?
Answers
Answer:
180 m
Explanation:
i found the formula
sound waves in air are a series of what?
Answers
Answer:
longitudinal waves
Explanation:
they are called longitudinal waves because particles of the medium through which the sound is transported vibrates parallel to the direction that the sound wave moves
A fireworks shell is accelerated from rest to a velocity of 82.0 m/s over a distance of 0.400 m. (a) How long did the acceleration last
Answers
Find the acceleration:
v² - u² = 2ax
(v = final velocity, u = initial velocity, a = acceleration, x = displacement)
(82.0 m/s)² - 0² = 2 a (0.400 m)
a = (82.0 m/s)² / (2 (0.400 m))
a = 8405 m/s²
Find the time:
x = ut + 1/2 at²
(t = time)
0.400 m = 0 + 1/2 (8405 m/s²) t²
t² = (0.400 m) / (1/2 (8405 m/s²))
t = √((0.400 m) / (1/2 (8405 m/s²)))
t ≈ 0.00976 s
. An astronomer needs to measure the distance to a globular cluster of stars that is part of the Milky Way Galaxy. What method should she try to use to find the distance?
Answers
The method the astronomer needs to find the distance is the hubble law.
The hubble law states that galaxies are moving away from at earth at speeds proportional to their distance.
The hubble law is expressed mathematically as v = H₀d where v = recessional speed, H₀ = Hubble constant and d = distance of galaxy from earth.
The recessional speed of the galaxy is found from the redshift of the light emitted from the galaxy.
Since we are dealing with a globular cluster of stars, the recessional speed is found from the redshift of the light emitted from the globular cluster of stars.
If we determine the recessional speed, we can then determine the distance of the globular cluster of stars by making the distance subject of the formula in the equation.
So, d = v/H₀
So, the method the astronomer needs to find the distance is the hubble law.
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Which equation correctly relates mechanical energy, thermal energy, and total
energy when there is friction present in a system?
A. Etotal = ME x Ethermal
=
B. Etotal = ME + Ethermal
C. Etotal = ME - Ethermal
O D. Etotal = Ethermal - ME
Answers
The total energy could then be written as; Etotal = ME + Ethermal
What is energy?The term energy is the refers to the ability to do work. We know that according to the first law of thermodynamics, energy is neither created nor destroyed but can be converted from one form to another.
The total energy of the system must then be the sum of all the energies that are in the system. In this case, the system has both mechanical and thermal energy.
The total energy could then be written as; Etotal = ME + Ethermal
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Need help!!
Dina has been working out for a few weeks. She wants to really focus on developing healthy habits rather than a very specific goal, like losing weight. She knows that tracking can help maintain health. What could she document that would let her see progress?
A.
She should just create a long-term goal.
B.
She could note the lengths and speeds of her morning runs.
C.
She should write down what she weighs when she wakes up in the morning.
D.
She can record what days she exercises and the type of activity.
Answers
Answer:
The correct choice is A. She should just create a long-term goal.
A stealth bomber is moving at 600 km/h west and travels to a top velocity of 1,010 km/h west in 4 minutes.
What is the stealth bomber's acceleration in m/s2?
Answers
Answer:
102.5 km/h
Explanation:
The stealth bomber's acceleration is 0.4745 m/s².
The stealth bomber's acceleration can be calculated using the following equation:
acceleration = (final velocity - initial velocity) / time
In this case, the initial velocity is 600 km/h and the final velocity is 1,010 km/h. The time is 4 minutes, which is equal to 240 seconds.
acceleration = (1010 km/h - 600 km/h) / 240 s
= 0.4745 m/s²
Therefore, the stealth bomber's acceleration is 0.4745 m/s².
In words, the stealth bomber's acceleration is 0.4745 meters per second squared. This means that the stealth bomber is increasing its velocity by 0.4745 meters per second every second.
The stealth bomber's acceleration is relatively high because it is accelerating from a speed of 600 km/h to a speed of 1,010 km/h in a short amount of time. The stealth bomber's engines must be very powerful to be able to accelerate the bomber at such a rate.
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Look at the Grand Canyon cross section. What is the 4th event to take place in the Grand Canyon's geologic history?
Question 6 options:
The Shinumo Quartzite was deposited in a beach environment.
Dox Sandstone is deposited in a beach environment
Igneous Intrusion.
Deposition of the Bass Limestone in a shallow marine environment
Answers
Answer:
bass limestone
Explanation:
if I'm right bass limestone is the fourth one because 3 are under it
50 points!!! A rocket booster initially applies 10,000 N of force to a 1,000 kg rocket causing it to accelerate at 10.0 m/s2. Ten minutes later, the rocket booster is released and it falls through the atmosphere.
Answers
Which of the following concepts can be defined as the ability to cause change?
A. energy
B. resistance
C. force
D. temperature
Answers
Answer:
A. Energy
Explanation:
In general, the word energy refers to a concept that can be paraphrased as "the potential for causing changes", and therefore one can say that energy is the cause of any change. The most common definition of energy is the work that a certain force (gravitational, electromagnetic, etc) can do..I really hope this helps.
HELP IS FOR TOMORROW PLEASE
Answers
Answer:
The first one: 240 meters
The second one: 960 meters
Explanation:
What does Newton’s law of universal gravitation state?
Answers
Answer
Newton's law of gravitation, statement that any particle of matter in the universe attracts any other with the force varying directly the product of the masses and inversely as the square of the distance between them. ...
A snowmobile is used to pull two sleds across the ice. The mass of the snowmobile and the rider is 320 kg. The mass of the first sled behind the snowmobile is 120 kg and the mass of the second sled is 140 kg. The ground exerts a force of 1500 N [forward] on the snowmobile. The coefficient of kinetic friction for the sleds on ice is 0.15. Assume that no other frictional forces act on the snowmobile. Calculate the acceleration of the snowmobile and the sleds.
Answers
Answer:
A snowmobile is used to pull two sleds across the ice. The mass of the snowmobile and the rider is 320 kg. The mass of the first sled behind the snowmobile is 120 kg and the mass of the second sled is 140 kg. The ground exerts a force of 1500 N [forward] on the snowmobile. The coefficient of kinetic friction for the sleds on ice is 0.15. Assume that no other frictional forces act on the snowmobile. Calculate the acceleration of the snowmobile and the sleds.
Explanation:
A snowmobile is used to pull two sleds across the ice. The mass of the snowmobile and the rider is 320 kg. The mass of the first sled behind the snowmobile is 120 kg and the mass of the second sled is 140 kg. The ground exerts a force of 1500 N [forward] on the snowmobile. The coefficient of kinetic friction for the sleds on ice is 0.15. Assume that no other frictional forces act on the snowmobile. Calculate the acceleration of the snowmobile and the sleds.
The acceleration of the snowmobile and the sleds is 1.08ms⁻².
What is acceleration?Acceleration exists as the rate of change of velocity. Usually, acceleration indicates the speed exists changing, but not always. When an object moves in a circular path at a constant speed, it stands still accelerating, because the direction of its velocity exists altering.
Given:
Mass of the snowmobile and the rider= 320 kg
Mass of the first sled= 120kg
Mass of the second sled= 140kg
Forward force by ground= 1500N
The coefficient of kinetic friction= 0.15
To find:
The acceleration of the snowmobile and the sleds
Solution:
Considering the whole snowmobile and sleds in a single system, the equation for acceleration is:
Forward force - frictional force= (320+120+140) a
Frictional force= Normal reaction on the system X coefficient of kinetic friction
= (320+120+140)g X 0.15
= 870N
Substituting the value in the equation,
1500 - 870 = 580 a
or a = 1.08ms⁻²
Hence, The acceleration of the snowmobile and the sleds is 1.08ms⁻².
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