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KCET2013PhysicsWork, Power and Energy

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

Options

  1. Athree times as the work done in accelerating it from rest to v
  2. Bsame as the work done in accelerating it from rest to V
  3. Cfour times as the work done in accelerating it from rest to v
  4. Dless than the work done in accelerating it from rest to v

Correct answer

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

Step-by-step solution

Work done to accelerate from 0 to v is, W₁= 1 2 m v² Work done to accelerate from v to 2 v is, aligned W₂ &= 1 2 m(2 v)² W &=W₂-W₁= 1 2 m(2 v)²- 1 2 m v² & 4 W₁-W₁=3 W₁ aligned

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