please answer with full work shown Problem 10.61 When a pitcher throws a curve b

Question

please answer with full work shown

Problem 10.61

When a pitcher throws a curve ball, the ball is given a fairly rapid spin.

Part A

If a 0.15-kg baseball with a radius of 3.7 cm is thrown with a linear speed of 45m/s and an angular speed of 41rad/s , how much of its kinetic energy is translational energy? Assume the ball is a uniform, solid sphere.

Express your answer using two significant figures.

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Part B

How much of its kinetic energy is rotational energy?

Express your answer using two significant figures.

Problem 10.61

When a pitcher throws a curve ball, the ball is given a fairly rapid spin.

Part A

If a 0.15-kg baseball with a radius of 3.7 cm is thrown with a linear speed of 45m/s and an angular speed of 41rad/s , how much of its kinetic energy is translational energy? Assume the ball is a uniform, solid sphere.

Express your answer using two significant figures.

Kt = J

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Part B

How much of its kinetic energy is rotational energy?

Express your answer using two significant figures.

Kr = J

Explanation / Answer

Rotational KE
= Iw^2 / 2
= (2mr^2 / 5)(w^2 / 2)
= mr^2 w^2 / 5
= m(rw)^2 / 5
= 0.15 ( 0.037 * 37)^2 / 5 J.

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