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If you used 1000 J of energy to throw a ball, would it travel faster if you threw the ball (ignoring air resistance)

(a) so that it was also rotating?

(b) so that it wasn't rotating?

(c) It makes no difference.

Short Answer

Expert verified

The correct option is (b).

Step by step solution

01

Rotational kinetic energy

The total kinetic energy is equal to the sum of rotational kinetic energy and translational kinetic energy.For this problem, you need a greater linear speed, i.e., the translational kinetic energy is large.

You use 1000 J energy to throw the ball.

02

Explanation

When you use 1000 J energy to throw a ball, the ball's total kinetic energy just after the throw is 1000 J. The ball travels faster, which means it has a greater linear kinetic energy.

For a greater linear speed, the translation energy of the ball is large, and the rotational kinetic energy is the minimum. Now, the minimum values should be zero when the ball is not rotating. Therefore, for the highest translational speed of the ball, it should not rotate.

Hence, option (b) is correct.

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FIGURE 8-46

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