Question

A body of mass 6 kg is acted upon by a force
which causes a displacement in it given by x = T^2/4
metre where t is the time in second. The work
done by the force is 2 seconds is
(a) 12 J
(b) 9 J
(c) 6J
(d) 3 J

Answer 1

Answer:

S=t^2/4

=2^2/4

=4/4

=1 m

V=ds/dt

=2t/4

=t/2

a=dv/dt

a=1/2 m/s^2

F=ma

F=6x1/2

F=3

W=FxS

W=3x1

W=3 J

Answer: (d)3 J

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Explanation:

Answer 2

Answer :

$\bullet$ Correct option: (d) 3 J

Therefore,

The work done by the force is 2 sec is 3 J.