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The coefficient of friction between road...

The coefficient of friction between road and tyre of a car increases linearly with distance (x). The car starts from rest and attains maximum possible acceleration. The kinetic energy E of the car depends on x as

A

`E prop x`

B

`E prop x^(-1)`

C

`E prop x^(-2)`

D

`E prop x^2`

Text Solution

Verified by Experts

The correct Answer is:
D
`mu=kx`
`:. a = mug = kxg`
` v =u + at = 0 + k xx "gt" `
`KE= 1/2mv^2=1/2mk^2 x^2 g^2t^2`
`implies E prop x^2`
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