PhysicsIs it true if the velocity of a body moving in a straight line is increased by a constant force F, then the change in kinetic energy of the body is equal to the work done by the force on the body?

Is it true if the velocity of a body moving in a straight line is increased by a constant force F, then the change in kinetic energy of the body is equal to the work done by the force on the body?


  1. A
    True
  2. B
    False 

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    Solution:

    The above statement is true.
    We know the third equation of motion,
    v2-u2=2as
                s=(v2-u2)2a
          Work done = Force× Displacement
                      W=F×
                      W= ma ×s  (since F=ma)
                      W=ma×(v2-u2)2a                   W= m×(v2-u2)2
     Work done=12mv2-12mu2 So, work done = Change in Kinetic Energy
    Therefore, the work done by the force is equal to the change in kinetic energy of the body.
     
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