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Question

A force of 1200N acts on a 0.5kg steel ball as a result of a collision lasting 25ms. If the force is in a direction opposite to the initial velocity of 14ms-1, then the final speed of the steel ball would be


A

24ms-1

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B

35ms-1

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C

12ms-1

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D

46ms-1

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Solution

The correct option is D

46ms-1


Step 1: Given data

Force, F=1200N

Mass of ball, m=0.5kg

Time, t=25ms

Initial velocity, u=14m/s

Step 2: Find final speed of the steel ball

F=Δp/ΔtF(Δt)=Δp1200x25x10-3=P2P11200x25x10-3=-mv-mu1200x25x10-3=(1/2)v+(1/2)u2x1200x25x10-3=v+u2x1200x25x10-3=v+14v=6014v=46m/s

Hence, option D is correct.


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