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Question

A car of mass 1×103 kg travelling at a velocity 5 m/s comes to rest in 2 sec, when it strikes a wall. What is the force exerted by the wall on car?

A
2×103 N
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B
2.5×103 N
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C
5×103 N
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D
4×103 N
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Solution

The correct option is B 2.5×103 N

Let the force exerted by the wall on car be F
Using, impulse- momentum theorem:
Impulse=PfPi
+(F×t)=mvfmvi ...(i)
where, m is the mass of car, m=103 kg
Final velocity of car, vf=0
Initial velocity of car, vi=5 m/s
Time interval for action of impulsive force ,t=2 sec
From the Eq. (i):
F×2=103[0(5)]
F=52×103=2.5×103 N

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