Work, Power and Energy
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Question : 20
Total: 30
A body of mass 0.5 kg travels in a straight line with velocity v = a x 3 ∕ 2 where a = 5 m – 1 ∕ 2 s – 1 . What is the work done by the net force during its displacement from x = 0 to x = 2 m?
Solution:
Here, Mass of body = 0.5 kg
Velocityv = a x
where a = 5 m −
s − 1
Initial velocity atx = 0 , v 1 = 5 × 0 = 0
Final velocity atx = 2 , v 2 = 5 × 2
Work done = Increase in kinetic energy=
× 0.5 [ ( 5 × 2 3 ∕ 2 ) 2 − 0 ] = 50 J
Velocity
Initial velocity at
Final velocity at
Work done = Increase in kinetic energy
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