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Question

Question: Force acting on a particle moving in a straight line varies with the velocity of the particle as F =...

Force acting on a particle moving in a straight line varies with the velocity of the particle as F = . Here K is constant. The work done by this force in time t is –

A

. T

B

2Kt

C

Kt

D

2Ktv2\frac { 2 \mathrm { Kt } } { \mathrm { v } ^ { 2 } }

Answer

Kt

Explanation

Solution

Q F =

\ m = Ž vdv = dt

Ž

Ž = t

Ž 12\frac { 1 } { 2 } mv2 = Kt Ž W = Kt