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 $- 9 m / s .$

the speed of ball 1 with itself is zero.

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

the speed of ball 1 with respect to ball 2 is $9 m / s .$

Step by step solution

Part (a) Step 1: Given information

We have given, two balls of speed

$Speed of ball 1 = 6 m / s Speed of ball 2 = 3 m / s .$

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

Simplify

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

$u_{11} = 0$

Velocity of ball 2 with respect to ball 1 is

$u_{21} = u_{2} - V u_{21} = - 3 (reverse direction) - 6 u_{21} = - 9 m / s$

Part (b) Step 1: Given information

We have given,

$Speed of ball 1 = 6 m / s Speed of ball 2 = 3 m / s .$

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

Simplify

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

$u_{22} = 0$

Velocity of ball 1 with respect to ball 2 is

$u_{12} = u_{1} - v u_{12} = 6 - (- 3) u_{12} = 9 m / s$

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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

Step by step solution

Part (a) Step 1: Given information

Simplify

Part (b) Step 1: Given information

Simplify

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