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5 months, 1 week ago

# If body of mass 2 kg is moving along x axis under an external force, whose displacement is given by

If body of mass 2 kg is moving along x axis under an external force, whose displacement is given by x(t) = 3t^2 – 2t + 5 m. Find the work done by force from t = 0 to t = 5 sec. (1) 78 J (2) 780 J (3) 600 J (4) 200 J

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S safeer
Answered 5 months, 1 week ago

The displacement is given by the formulae:

$F=m\frac{d^2x}{dt^2}=2\times6=12N$

$W=F.ds=12(3\times5^2-2\times5+5-(0-0+5))=780J$

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