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Question

# A car of mass 1000 kg moves in a circular path with a constant speed of 12 m/s. It is turned by 180∘, while travelling a distance of 628 m on the road. The centripetal force acting on the car is

A
1440 N
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B
320 N
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C
720 N
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D
640 N
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Solution

## The correct option is C 720 NGiven, mass of car (m)=1000 kg Speed of car (v)=12 m/s To find centripetal force: Fc=mv2r We need to find ′r′ To find r: Given that car has turned 180∘ after travelling 628 m, distance covered for half circle is, ⇒πr=628⇒r=200 m (π=3.14) Hence the centripetal force will be, Fc=1000×(12)2200=720 N Option C is the correct answer

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