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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.

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lublana

Answer:

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, [tex]a=\frac{F}{m}[/tex]

Final velocity , [tex]v=a+ut[/tex]

Substitute the values

[tex]v=0+\frac{F}{m}t=\frac{F}{m}t[/tex]

We know that

Momentum, p=mv

Using the formula

[tex]p=m\times \frac{F}{m}t=Ft[/tex]

onyebuchinnaji

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

The given parameters:

  • initial velocity of the particle, u = 0

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

[tex]P =mv[/tex]

The force applied to the particle is calculated as;

[tex]F = ma = \frac{mv}{t} \\\\Ft = mv[/tex]

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

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