InterviewSolution
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InterviewSolution
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A particle of mass `m` moves on a straight line with its velocity varying with the distance traveled. Find the total work done by all the forces during a displacement `x=0` to `x=d` if the velocity is equal to (a) `v=lamdasqrtx` and (b) `v=lamdax` is constant. |
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Answer» We know `W_(t otal)=K_2-K_1` (a) `x=0`, `v_1=0`, `K_1=0` `x=d`,`v_2=lamdasqrtd`,`K_2=(1)/(2)mv_2^2=(1)/(2)=(1)/(2)mlamda^2d` `W_(t otal)=K_2-K_1=(1)/(2)mlamda^2d` (b) `x=0`,`v_1=0`,`K_1=0` `x=d`,`v_2=lamdad`,`K_2=(1)/(2)mv_2^2=(1)/(2)=(1)/(2)mlamda^2d^2` `W_(t otal)=K_2-K_1=(1)/(2)mlamda^2d^2` |
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