AP EAMCET · PHYSICS · Work Power Energy
A body of mass , under the action of a force, is displaced according to the equation where is the time. Find the work done by the force in the first seconds.
- A
- B
- C
- D
Answer & Solution
Correct Answer
(B)
Step-by-step Solution
Detailed explanation
Given the displacement equation, s=t24 Velocity of the body, v=dsdt=t2 Acceleration of the body, a=dvdt=12 Force on the body, F=ma=8 kg×12m s-2=4 N Work done by the force in first 4 seconds, W=Force× displacementW=4×t24=t2Wt=0t=4=16 J
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