Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

19 multiple choice 1 point lets compare someone falling and coming to r…

Question

19 multiple choice 1 point lets compare someone falling and coming to rest onto a trampoline to someone falling onto the ground. in which scenario, if either, does the person experience a greater change in momentum?

Explanation:

Step1: Define momentum change

Momentum change is $\Delta p = p_f - p_i$, where $p=mv$.

Step2: Set initial/final conditions

In both scenarios: initial velocity $v_i$ (same speed when hitting surface), final velocity $v_f=0$ (person comes to rest), mass $m$ is constant.

Step3: Calculate momentum change

For ground: $\Delta p_{ground} = m(0 - v_i) = -mv_i$
For trampoline: $\Delta p_{trampoline} = m(0 - v_i) = -mv_i$
The magnitude of change is equal for both.

Answer:

The person experiences the same change in momentum in both scenarios.