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Q.

The displacement x of a particle moving in one dimension under the action of a constant force is related to the time t by the equation t = x+3, where x is in meters and t is in seconds. The work done by the force in the first 6 seconds is

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a

9 J

b

6 J

c

0 J

d

3 J

answer is C.

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Detailed Solution

x = (t-3)2   ⇒ v = dxdt = 2(t-3)at t = 0; v1 = -6 m/s and at t = 6 sec, v2 = 6 m/sso, change in kinetic energy = W = 12mv22- 12mv12 = 0
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The displacement x of a particle moving in one dimension under the action of a constant force is related to the time t by the equation t = x+3, where x is in meters and t is in seconds. The work done by the force in the first 6 seconds is