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Question: The ratio of work done by the internal forces of a car in order to change its speed from 0 to V, fro...

The ratio of work done by the internal forces of a car in order to change its speed from 0 to V, from V to 2V is (Assume that the car moves on a horizontal road) –

A

1

B

½

C

1/3

D

¼

Answer

1/3

Explanation

Solution

Work done in changing speed from 0 to V is -

DW1 = 12\frac { 1 } { 2 } mV2

work done in changing the speed from V to 2V is

DW2 = 12\frac { 1 } { 2 } m (2V)2 – 12\frac { 1 } { 2 } 3 mV2

\ ΔW1Δ W2=13\frac { \Delta \mathrm { W } _ { 1 } } { \Delta \mathrm {~W} _ { 2 } } = \frac { 1 } { 3 }