Question

Using the diagram below calculate the missing variable.

mom test 3.PNG




11.73 m/s

17.3 m/s

15.5 m/s

14 m/s

Answer 1

I don't have the diagram — could you either re-upload the image or type the problem data shown in it (masses, velocities, directions/angles, and whether the collision is elastic or perfectly inelastic)? With that I can calculate which of the four choices is correct.

While you get that to me, here are the formulas I'll use depending on the problem type:

- One‑dimensional perfectly inelastic (they stick together):
vfinal = (m1·v1 + m2·v2) / (m1 + m2)

- One‑dimensional elastic collision:
v1' = [(m1 − m2) / (m1 + m2)]·v1 + [2 m2 / (m1 + m2)]·v2
v2' = [2 m1 / (m1 + m2)]·v1 + [(m2 − m1) / (m1 + m2)]·v2

- Two‑dimensional collision: conserve momentum vectorially (px and py separately). If elastic, also conserve kinetic energy.

If the problem is asking for a speed from kinetic energy change, use KE = 1/2 m v^2 and/or conservation of energy as appropriate.

Upload the diagram or paste the values and I’ll compute which option (11.73, 17.3, 15.5, 14 m/s) is correct.