Rankers Physics
Topic: Work Energy and Power
Subtopic: Work Energy Theorem

The position of a particle of mass 1 kg moving along x-axis at time t is given by x=t²/2. The work done by the force from t=0 to t=3 sec
1.5 J
3 J
4.5 J
6.0 J

Solution:

Given, x = t²/2 differentiating v=dx/dt= t 

Initial Speed Vi= 0 m/s

Final Speed Vf= 3 m/s

From Work Energy Theorem, Work done is equal to change in kinetic energy

So, Work Done = ½m (Vf² - Vi²)= 1/2 × 1× (9-0) = 4.5 J

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