Question

students perform an experiment in which they drop two eggs with equal mass from a balcony. in the first trial, the egg hits the ground and breaks. in the second trial, the egg hits a foam cushion and does not break or bounce. what conclusions about impulse can the students make? the impulse was greater in the first experiment because the egg broke. the impulse was greater in the second experiment because the egg did not break. the impulse was the same in both experiments because the egg came to a stop. the impulse cannot be determined without the mass and velocity of the eggs.

Explanation:

Step1: Recall impulse - momentum theorem

Impulse \(J=\Delta p = p_f - p_i\), where \(p = mv\). The eggs have the same mass and are dropped from the same height, so they have the same initial velocity just before hitting the surface. In both cases, the final velocity is \(v_f = 0\) (the first egg stops after breaking and the second egg stops on the foam cushion).

Step2: Calculate change in momentum

Since \(p_i=mv_i\) and \(p_f = 0\) for both eggs, and \(m\) and \(v_i\) are the same for both eggs (same - mass and same - height drop), \(\Delta p\) (and thus the impulse \(J\)) is the same for both eggs.

Answer:

The impulse was the same in both experiments because the egg came to a stop.