Question

Suppose that Salim hits a 100 g fastball moving towards him at a speed of 42 m/s with his bat as shown in the image.the impulse of the fastball is 8 kg.m/s in the antiparallel direction of the initial velocity. Then the final momentum of the fastball is --------------( Suppose that the direction of the fastball toward the bat is negative and away from the bat is positive)

1.8 kg m/s
0.6 kg m/s
3.8 kg m/s
2.4 kg m/s

Answer 1

The final momentum of the ball is 3.8 kgm/s.

Change in momentum of the ball

The impulse received by the ball is equal to change in momentum of the ball.

J = ΔP

where;

• J is the impulse
• ΔP is change in momentum

ΔP = P₂ - P₁

P₂ = ΔP + P₁

Final momentum of the ball

The final momentum of the ball is calculated as follows;

P₂ = 8 + (- 0.1 x 42)

P₂ = 8 - 4.2

P₂ = 3.8 kgm/s

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