# As a protest against the umpire's calls, a baseball pitcher throws a ball straight up into the air at a speed of 17.5 m/s. In the process, he moves his hand through a distance of 1.45 m. If the ball has a mass of 0.150 kg, find the force he exerts on the ball to give it this upward speed.

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As a protest against the umpire's calls, a baseball pitcher throws a ball straight up into the air at a speed of 17.5 m/s. In the process, he moves his hand through a distance of 1.45 m. If the ball has a mass of 0.150 kg, find the force he exerts on the ball to give it this upward speed.

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Step 1

The forces on the ball along the vertical direction will be :

• The force exerted by the pitcher, F upwards.
• The gravitational force, mg downwards.
Step 2

The work done on the ball due to the resultant force will be

= Resultant force x Distance for which the force is applied

=(F-mg) x d

Step 3

This, work done is equal to the kinetic energy of the ball. The speed of the ball is given as, v= 17.5 m/...

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