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Troy spins a ball attached to a string around in a vertical circle. Assume the ball travels at constant speed during its circular path. Which of the following is not constant throughout the ball's path?
Possible Answers:
The rate at which the string does work on the ball
Force of gravity on the ball
Angular momentum of the ball
All of these are constant
Correct answer:
Tension in the string
Explanation:
Let's go through each answer choice one by one. The force of gravity on the ball is always its mass times gravity, which is constant. The string's pull on the ball is always perpendicular to the ball's motion, so it isn't doing any work, and thus has a constant rate of work
An airplane is traveling at
Possible Answers:
Correct answer:
Explanation:
Circumference of a circle:
Distance plane travels during loop (which will be the circumference)
Centripetal acceleration:
Plugging in values:
An airplane is traveling at
Possible Answers:
Correct answer:
Explanation:
Circumference of a circle:
Distance plane travels during loop (which will be the circumference)
Centripetal acceleration:
Plugging in values:
An airplane is traveling at
Possible Answers:
Correct answer:
Explanation:
Circumference of a circle:
Distance plane travels during loop (which will be the circumference)
A
Possible Answers:
Correct answer:
Explanation:
One circle is equal to
Using
A
Possible Answers:
Correct answer:
Explanation:
One circle is equal to
Using
Use Newton's second law:
A
Possible Answers:
Correct answer:
Explanation:
One circle is equal to
The definition of angular momentum:
Plugging in values:
An object has a mass M, velocity V, and moves in a circle with radius R.
What happens to the centripetal acceleration on the object when the mass is doubled?
Possible Answers:
The centripetal acceleration remains the same.
The centripetal acceleration remains the same.
The centripetal acceleration is halved.
The centripetal acceleration is quadrupled.
The centripetal acceleration is doubled.
Correct answer:
The centripetal acceleration remains the same.
Explanation:
The equation for centripetal acceleration is:
Where
We can see that mass does not play a role in the centripetal acceleration of an object, so no matter what happens to the mass, the centripetal acceleration remains the same.
An object has a mass M, velocity V, and moves in a circle with radius R.
What happens to the centripetal acceleration on the object when the radius is halved?
Possible Answers:
The centripetal acceleration of the object goes to zero.
The centripetal acceleration of the object is halved.
The centripetal acceleration of the object is quadrupled.
The centripetal acceleration of the object remains the same.
The centripetal acceleration of the object is doubled.
Correct answer:
The centripetal acceleration of the object is doubled.
Explanation:
The equation for centripetal acceleration is:
Where
The radius has an inverse relationship with centripetal acceleration, so when the radius is halved, the centripetal acceleration is doubled.
An object has a mass M, velocity V, and moves in a circle with radius R.
What happens to the centripetal acceleration on the object when the velocity is doubled?
Possible Answers:
The centripetal acceleration of the object is quadrupled.
The centripetal acceleration of the object is doubled.
The centripetal acceleration of the object is halved.
The centripetal acceleration of the object remains the same.
The centripetal acceleration of the object goes to zero.
Correct answer:
The centripetal acceleration of the object is quadrupled.
Explanation:
The equation for centripetal acceleration is:
Where
The velocity has an quadratic relationship with centripetal acceleration, so when the velocity is doubled, the centripetal acceleration is quadrupled.
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Sumita
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Duke University, Bachelors, Chemistry. Barry University, Masters, Biomedical Sciences.
Erik
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University of Illinois at Urbana-Champaign, Bachelor of Science, Physics. University of California-San Diego, Master of Scien...
Sean
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University of Illinois at Urbana-Champaign, Bachelor of Science, Physics.
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