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Physics: Principles with Applications | 6th Edition | ISBN: 9780130606204 | Authors: Douglas C. Giancoli
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A 0.145-kg baseball pitched horizontally at 35.0 m/s

Chapter 1, Problem 62GP

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QUESTION:

Problem 62GP

A 0.145-kg baseball pitched horizontally at 35.0 m/s strikes a bat and is popped straight up to a height of 55.6 m. If the contact time is 1.4 ms, calculate the average force on the ball during the contact.

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QUESTION:

Problem 62GP

A 0.145-kg baseball pitched horizontally at 35.0 m/s strikes a bat and is popped straight up to a height of 55.6 m. If the contact time is 1.4 ms, calculate the average force on the ball during the contact.

ANSWER:

Step 1 of 3

We need to calculate linear acceleration first from the given data and then we can calculate the time required by using the value of distance given.

Diameter of the pulley = 50 cm

Radius r = 0.25 m

Mass of the pulley m = 2.0 kg

So, its moment of inertia I =  

I = 0.0625  …..(1)

Let   be the tension on the rope

So,   (  is linear acceleration)

 …..(2)

Given that,  …..(3)

Torque due to  (from equation (3))

 

Torque due to tension   

) (from equation (2))

Therefore, net torque

 

 …..(4)

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