A ball is initially rolling along the ground with a linear speed of 4.75 meters per second (m/s). It then rolls up a hill. After the ball gets to the top of the hill, its linear speed is reduced to 2.05 m/s. The ball is a hollow sphere, with a moment of inertia given by I = 2MR²/3. Assume the total mechanical energy of the ball is conserved, and it rolls without slipping the whole time. What is the height of the hill, in meters? 2.05 m/s 4.75 h = ? + m/s X-

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Chapter1: Units, Trigonometry. And Vectors
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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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1.A ball is initially rolling along the ground with a linear speed of 4.75 meters per second (m/s). It then rolls up a hill. After the ball gets to the top of the hill, its linear speed is reduced to 2.05 m/s. The ball is a hollow sphere, with a moment of inertia given by
I = 2MR2 /3. Assume the total mechanical energy of the ball is conserved, and it rolls without slipping the whole time. What is the height of the hill, in meters?

Problem 2
A ball is initially rolling along the ground with a linear speed of 4.75 meters per second
(m/s). It then rolls up a hill. After the ball gets to the top of the hill, its linear speed is
reduced to 2.05 m/s. The ball is a hollow sphere, with a moment of inertia given by
I = 2MR?/3. Assume the total mechanical energy of the ball is conserved, and it rolls
without slipping the whole time. What is the height of the hill, in meters?
2.05
m/s
4.75
h = ?
m/s
Transcribed Image Text:Problem 2 A ball is initially rolling along the ground with a linear speed of 4.75 meters per second (m/s). It then rolls up a hill. After the ball gets to the top of the hill, its linear speed is reduced to 2.05 m/s. The ball is a hollow sphere, with a moment of inertia given by I = 2MR?/3. Assume the total mechanical energy of the ball is conserved, and it rolls without slipping the whole time. What is the height of the hill, in meters? 2.05 m/s 4.75 h = ? m/s
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