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A truck accelerates from speed v to 2 v....

A truck accelerates from speed v to 2 v. Work done in during this is

A

three times as the work done in accelerating it from rest to v.

B

same as the work done in accelerating it from rest to v

C

four times as the work done in accelerating it from rest to v.

D

less than the work done in accelerating it from rest tov.

Text Solution

Verified by Experts

The correct Answer is:
a
Work done = Increase in K.E.
`:. (W_1)/(W_2)=(1/2m((2v)^2-v^2))/(1/2m(v^2-0))`
=`(4v^2-v^2)/(v^2)=3`
So `W_1=3W_2`
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