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Chapter 36: Q. 1 (page 1058)

FIGURE Q36.1 shows two balls. What are the speed and direction of each (a) in a reference frame that moves with ball 1 and (b) in a reference frame that moves with ball 2?

Short Answer

Expert verified

a. The speed of ball 2 with respect to ball 1 is -9m/s.

the speed of ball 1 with itself is zero.

b. The speed of ball 2 with respect to ball 2 is 0m/s.

the speed of ball 1 with respect to ball 2 is9m/s.

Step by step solution

01

Part (a) Step 1: Given information

We have given, two balls of speed

Speedofball1=6m/sSpeedofball2=3m/s.

We have to find the speed of the each ball with respect to ball 1.

02

Simplify

Velocity of ball 1 with respect to itself will be always zero. Since for itself reframe it will be in rest.

u11=0

Velocity of ball 2 with respect to ball 1 is

u21=u2-Vu21=-3(reversedirection)-6u21=-9m/s

03

Part (b) Step 1: Given information

We have given,

Speedofball1=6m/sSpeedofball2=3m/s.

We have to find the speed of each ball with respect to ball 2.

04

Simplify

Velocity of ball 2 with respect to itself will be always zero. Since for itself reframe it will be in rest.

u22=0

Velocity of ball 1 with respect to ball 2 is

u12=u1-vu12=6-(-3)u12=9m/s

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