Question

. The net force F acting on an object that moves along a straight line is given as a function of time t by 2 F t( ) = κt + τ , where 2 κ = 1 N s and τ = 1 N . What is the change in momentum of the object from t = 0 s to t = 3 s?

Answer 1

The change in the momentum of the object moving along a straight line is determined as 3 Ns.

Change in momentum of the object

The change in the momentum of the object is equal to impulse received by the object.

The impulse received by the object is determined from the product of force and time of action.

J = Ft

Ft() = kt + τ

at time 0 s

Ft(0) = 1(0) + 1

Ft(0) = 1 Ns

at time , t = 3 s

Ft(3) = 1(3) + 1

Ft(3) = 4 Ns

Change in momentum from 0 s to 3 s, =  4 Ns - 1 s = 3 Ns

Thus, the change in the momentum of the object moving along a straight line is determined as 3 Ns.

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