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Physics: Principles with Applications | 6th Edition | ISBN: 9780321569837 | Authors: Douglas C. Giancoli
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Boxes are moved on a conveyor belt from where they are filled to the packing station

Chapter 4, Problem 62P

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QUESTION:

Problem 62P

Boxes are moved on a conveyor belt from where they are filled to the packing station 11.0 m away. The belt is initially stationary and must finish with zero speed. The most rapid transit is accomplished if the belt accelerates for half the distance, then decelerates for the final half of the trip. If the coefficient of static friction between a box and the belt is 0.60, what is the minimum transit time for each box?

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QUESTION:

Problem 62P

Boxes are moved on a conveyor belt from where they are filled to the packing station 11.0 m away. The belt is initially stationary and must finish with zero speed. The most rapid transit is accomplished if the belt accelerates for half the distance, then decelerates for the final half of the trip. If the coefficient of static friction between a box and the belt is 0.60, what is the minimum transit time for each box?

ANSWER:

Solution 62P:

Step 1 of 3:-

The distance has to travel is: .

The coefficient of static friction is given as: .

Half the distance it accelerated and the other half decelerated. Finally comes to a halt.

The frictional force acting is,

---------------------(1)

According to Newton’s 2nd law,

-------------------------92)

The third law states that,

.

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