a force F is exerted on a body of mass M which is connected to a spring (spring constant K). the body has a constant acceleration of a . calculate the work done by external force in moving the body by a distance D.
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F=W
W=MA
that is the answer
W=MA
that is the answer
vasu975:
but the answer is kD^2/2 + MaD
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From force equation,the value of external force at any instant of time,F= kx+ma where x is free end displacement of spring at a time.
Since variable force is involved ,let us take small displacement dx. Then work done will be
dW=Fdx=(kx+ma)dx
In integrating
W= 1/2KD^2+maD
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