Which conditions will result in the smallest change in momentum?

a. a large force over a long time period
b. a large force over a short time period
c. a small force over a long time period
d. a small force over a short time period

C. A small force over a long time period. With the small force being divided by a larger number (time), it will have the least momentum.

Under what conditions would an object have the smallest change in momentum?

A small force over a long time period.

Since someone doesn't understand the point of this site.

Writeacher

Dec 9, 2011
you lame af

The change in momentum of an object can be calculated using the formula:

Δp = FΔt

where Δp is the change in momentum, F is the force applied, and Δt is the time over which the force is applied.

To determine which conditions will result in the smallest change in momentum, we need to consider the factors in the formula.

a. A large force over a long time period (FΔt)

If the force applied is large and the time period over which it is applied is long, then the product of F and Δt will be relatively large. As a result, this condition will likely lead to a larger change in momentum.

b. A large force over a short time period (FΔt)

If the force applied remains the same but the time over which it is applied becomes shorter, then the product of F and Δt will be reduced. Consequently, this condition will result in a smaller change in momentum compared to the previous condition.

c. A small force over a long time period (FΔt)

If the force applied is relatively small, but the time period over which it acts is long, then the product of F and Δt will be small. Therefore, this condition is expected to result in a smaller change in momentum compared to the conditions involving larger forces.

d. A small force over a short time period (FΔt)

If the force applied is small and the time period over which it is applied is short, then the product of F and Δt will be relatively small. Hence, this condition will lead to the smallest change in momentum.

In summary, the condition that will result in the smallest change in momentum is when a small force is applied over a short time period (option d).

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