Answered: A Amazon employee is pushing two carts…

Name: A Amazon employee is pushing two carts with a constant force F. Contai
Uploaded: 2024-03-20T06:56:46.000Z
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Description: A Amazon employee is pushing two carts with a constant force F. Container 1 contains the heavier gift and it is 25 times heavier than container 2. Find the contact force between them if F=49.7 N.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter5: Newton's Laws Of Motion

Section: Chapter Questions

Problem 83PQ: Three crates with masses m1 = 5.45 kg, m2 = 7.88 kg, and m3 = 4.89 kg are in contact on a...

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A Amazon employee is pushing two carts with a constant force F. Container 1 contains the heavier gift and it is 25 times heavier than container 2. Find the contact force between them if F=49.7 N.

Expert Solution

Step 1

Consider the free-body diagram of the given carts as follows.

Step 2

Apply Newton’s second law of motion on the first cart along the horizontal, and determine the acceleration of the carts as follows.

$\begin{array}{rcl} \sum F_{1} & = & m_{1} a \\ F - N & = & m_{1} a \\ a & = & \frac{F - N}{m_{1}} \\ = & \frac{F - N}{25 m_{2}} \end{array}$

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