A body is acted on by an impulsive force from time t = 0 to time t = 10 ms. During this time, the force decreases uniformly from 10³ N to zero as shown in the graph. The change in momentum of the body during this interval is A) 10 kg · m/s B) 5.0 kg · m/s C) 0.16 kg · m/s D) 10⁵ kg · m/s E) a value that cannot be determined from this graph.

Question

Quizplus · Accepted Answer

The change in momentum of an object can be calculated by the formula Δp = FΔt, where Δp is the change in momentum, F is the average force applied over the time interval, and Δt is the time interval. In this case, the force decreases uniformly from 10 N to 0 N over a time interval of 10 ms (0.01 s), so the average force can be calculated as follows:

average force = (10 N + 0 N)/2 = 5 N

The time interval is 0.01 s. Therefore, the change in momentum is:

Δp = FΔt = 5 N x 0.01 s = 0.05 kg · m/s

Therefore, the best choice is B, with a change in momentum of 5.0 kg · m/s.

A Body Is Acted on by an Impulsive Force from Time