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Question

A car is moving on a circular road of diameter 50 m with a speed 5 ms1. It is suddenly accelerated at a rate 1 ms2. If its mass is 500 kg, net force acting on the car at that instant is,

A
500 N
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B
1000 N
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C
5002 N
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D
5002 N
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Solution

The correct option is C 5002 N
Given tangential acceleration at=1 ms2
Tangential force mat=500(1)=500 N
Given D=50 mR=25 m
Centripetal acceleration
aC=v2R=2525=1
Centripetal force
maC=500(1)


F=(mat)2+(maC)2
=5002+5002
=5002 N

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