The particle starts from rest at t=0. What is the magnitude p of the momentum of the particle at time t? Assume that t>0. Express your answer in terms of any or all of m, F, and t.

The magnitude of the momentum of the particle after time, t is Ft = mv.

The given parameters:

The magnitude of the momentum of the particle after time, t is calculated as follows;

The force applied to the particle is calculated as;

Thus, the magnitude of the momentum of the particle after time, t is Ft = mv.

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Ft

Explanation:

We are given that

Initial velocity=u=0

We have to find the magnitude of p of the momentum of the particle at time t.

Let mass of particle=m

Applied force=F

Acceleration,

Final velocity ,

Substitute the values

We know that

Momentum, p=mv

Using the formula