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The momentum of a body in two perpendicular direction at any time 't' are given by Px=2t2+6  and Py=3t22+3 . The force acting on the body at t = 1 sec is

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a
5 units
b
2 units
c
10 units
d
15 units

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detailed solution

Correct option is A

Fx=dPxdt=d2t2+6dt=4t ⇒Fy=dPydt=d3t22+3dt=32t2+0=3t                                                        F=Fx2+Fy2==4t2+3t2=5t=5×1=5  units

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