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Q. 50

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 156

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Short Answer

A baggage handler drops your kg suitcase onto a conveyor belt running at m/s. The materials are such that and . How far is your suitcase dragged before it is riding smoothly on the belt?

m from the position it was dropped

See the step by step solution

Step by Step Solution

Step 1. Given information

We have,

The weight of suitcase is kg

Conveyor belt running with m/s

The materials

Step 2. Movement in the horizontal plane 

Since we only have movement in the horizontal plane, and knowing that the kinetic friction force is the one accelerating the suitcase, we can write:

since the suitcase starts from zero initial velocity and the movement is constantly accelerating (since the accelerating force the kinetic friction one, is constant), we have

Step 3. Calculate 

Let's rewrite knowing the first equation of motion and that the initial velocity was zero

Now we have

substituting our knowing values

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