A car is moving along a straight horizontal road with a speed V. If the coefficient of friction between road and tyres is H, the shortest distance in which the car stops when engine is shut off, is :

Options

A. `(V^(2))/(2mug)`
B. `(V)/(mug)`
C. `(V)/(mu)`
D. `(V^(4))/(mu^(2)g^(2))`

Answer

a

Explanation

K.E. of Car = Work done against friction
`(1)/(2)mV^(2)=mumgxxX`
`:.x=(V^(2))/(2mug)`
Hence corect choice is (a).