Answered: Two blocks rest on a frictionless…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Two blocks rest on a frictionless tabletop as shown. The blocks have masses m₁ = 5.33 kg and m₂ = 2.13 kg. A rightward force of F = 21.7 Newtons is exerted on Block 1.

Calculate the magnitude of the force (in Newtons) exerted by Block 1 onto Block 2.

If instead a leftward force of F = 21.7 Newtons is exerted on Block 2, calculate the magnitude of the force exerted by Block 2 onto Block

Expert Solution

Step 1

Let the internal force between m1 and m2 be f. then if the system has an acceleration a, then both individual blocks move at at acceleration a and we have

$a = \frac{F}{m_{1} + m_{2}} = \frac{F - f}{m_{1}} = \frac{f}{m_{2}}$

Hence we have

$\begin{array}{rcl} f & = & \frac{m_{2} F}{m_{1} + m_{2}} \\ = & \frac{2.13 \times 21.7}{2.13 + 5.33} \\ = & 6.19584 N \end{array}$

This is the force exerted by block 1 on block 2

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