At height H above the ground, a hollow sphere of mass m and radius r is released from rest from the top of a hill. There is a bump that is 2H/3 above the ground. Assume the sphere moves without any slipping. Assume air resistance is negligible, and gravity has acceleration of g. Which physical quantities are conserved over the course of the displacement? What is the linear speed of the ball at the lowest point? What fraction of the sphere's mechanical energy is rotational kinetic energy when the sphere reaches the top of the bump? Explain how a block sliding without friction would have a larger/equal/smaller linear speed at the end of the track, without using any equations or calculations.
At height H above the ground, a hollow sphere of mass m and radius r is released from rest from the top of a hill. There is a bump that is 2H/3 above the ground. Assume the sphere moves without any slipping. Assume air resistance is negligible, and gravity has acceleration of g. Which physical quantities are conserved over the course of the displacement? What is the linear speed of the ball at the lowest point? What fraction of the sphere's mechanical energy is rotational kinetic energy when the sphere reaches the top of the bump? Explain how a block sliding without friction would have a larger/equal/smaller linear speed at the end of the track, without using any equations or calculations.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:At height H above the ground, a hollow sphere of
mass m and radius r is released from rest from the
top of a hill. There is a bump that is 2H/3 above the
ground. Assume the sphere moves without any
slipping. Assume air resistance is negligible, and
gravity has acceleration of g.
Which physical quantities are conserved over the
course of the displacement?
What is the linear speed of the ball at the lowest
point?
What fraction of the sphere's mechanical energy is
rotational kinetic energy when the sphere reaches
the top of the bump?
Explain how a block sliding without friction would
have a larger/equal/smaller linear speed at the end
of the track, without using any equations or
calculations.
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