A ball of mass m is attached to a string of length L. The ball is then swung in a circle of radius r such that the string traces out the surface of a cone. A. Sketch the physical situation. Write a table of knowns and unknowns. Label your sketch with known and unknown information. Establish an appropriate coordinate system. Identify assumptions you will make to solve the problem. B. Draw a free body diagram for the ball and write the force balance equations using Newton's 2nd Law. C. Determine a symbolic expression for the tension T in the string and the angular velocity w of the ball. This should be expressed in terms of the given quantities L, m, r and the acceleration due to gravity, g. D. Check the physical units of your expressions for tension and angular velocity. See the "sensemaking" document on canvas if you need guidance. E. Explain in words how you would expect the tension T in the string and the angular velocity w to change if it was swung in the same fashion but on an exoplanet where the acceleration due to gravity is about 4 times stronger than here on Earth. Then perform a short symbolic calculation to back up your explanation.
A ball of mass m is attached to a string of length L. The ball is then swung in a circle of radius r such that the string traces out the surface of a cone. A. Sketch the physical situation. Write a table of knowns and unknowns. Label your sketch with known and unknown information. Establish an appropriate coordinate system. Identify assumptions you will make to solve the problem. B. Draw a free body diagram for the ball and write the force balance equations using Newton's 2nd Law. C. Determine a symbolic expression for the tension T in the string and the angular velocity w of the ball. This should be expressed in terms of the given quantities L, m, r and the acceleration due to gravity, g. D. Check the physical units of your expressions for tension and angular velocity. See the "sensemaking" document on canvas if you need guidance. E. Explain in words how you would expect the tension T in the string and the angular velocity w to change if it was swung in the same fashion but on an exoplanet where the acceleration due to gravity is about 4 times stronger than here on Earth. Then perform a short symbolic calculation to back up your explanation.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:healp please answer them
A ball of mass m is attached to a string of length L. The ball is then swung in a circle of radius r such
that the string traces out the surface of a cone.
A. Sketch the physical situation. Write a table of knowns and unknowns. Label your sketch with
known and unknown information. Establish an appropriate coordinate system. Identify
assumptions you will make to solve the problem.
B. Draw a free body diagram for the ball and write the force balance equations using Newton's
2nd Law.
C. Determine a symbolic expression for the tension T in the string and the angular velocity
w of the ball. This should be expressed in terms of the given quantities L, m, r and the
acceleration due to gravity, g.
D. Check the physical units of your expressions for tension and angular velocity. See the
"sensemaking" document on canvas if you need guidance.
E. Explain in words how you would expect the tension T in the string and the angular velocity
w to change if it was swung in the same fashion but on an exoplanet where the acceleration
due to gravity is about 4 times stronger than here on Earth. Then perform a short symbolic
calculation to back up your explanation.
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