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If you have double the force and half the time over which the force acts, the resulting impulse _______.
Select one:
a. is halved
b. doubles
c. remains the same
d. increases four times

Respuesta :

Answer:

D

Explanation:

The correct answer is (c) remains the same.

The impulse is defined as the change in momentum. Mathematically it can be defined as the force multiplied by the time duration for which the force acts on the object. That is:

I = FΔt

where, I = impulse

           F = force, and Δt = time duration.

Now, according to the question, let the given force be F' and the time duration be Δt', then

F' = 2F  and Δt' = 0.5Δt

So the new impulse would be:

I' = F'Δt'

I' = 2F × (0.5) Δt

I' = 2×(0.5)×F Δt

I'=I

Hence, there would be no change in the resulting impulse.

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