Solved: In each of Examples 8.10, 8.11, and 8.12 (Section

Chapter 8, Problem 11DQ

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QUESTION:

In each of Examples 8.10, 8.11, and 8.12 (Section 8.4), verify that the relative velocity vector of the two bodies has the same magnitude before and after the collision. In each case what happens to the direction of the relative velocity vector?

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QUESTION:

In each of Examples 8.10, 8.11, and 8.12 (Section 8.4), verify that the relative velocity vector of the two bodies has the same magnitude before and after the collision. In each case what happens to the direction of the relative velocity vector?

ANSWER:

Solution 11DQ

Introduction

In all cases the velocity before and after collisions are calculated. So we will just calculate the relative velocities and see how the magnitude changes. We will also see how the direction changes before and after collision.

Step 1

In example 8.10 the initial velocity of the block A and B are

 and

Hence the relative velocity B with respect to A is

And the final velocities are

 and

Hence the relative velocity of B with respect to A in after collision is

.

Hence the magnitude remain same.

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