Problem 8-75 Inelastic collision - Part 3 - D

Two trucks have a completely inelastic collision. After the collision, they have a common velocity of \(11 \;m/s\) at \(35^\circ\) south of west. Before the collision, one truck \((\text{mass} \; 2.3\times10^4\; kg)\) has a velocity of \(15\; m/s\) at \(51^\circ\) south of west. Determine the initial velocity (magnitude and direction) of the other truck \((\text{mass} \; 1.2\times10^4\; kg).\)

Accumulated Solution

FBD with illustration of before and after

Correct.

What are the components of velocity before and after the collision?

Solution \(v_{1x} \) \(v_{2x}\) \(v_x{'}\)
(A) \((-15) \cos 51\) \(v_2 \cos \theta\) \((-11) \cos 35\)
(B) \((-15) \sin 51\) \(v_2 \sin \theta \) \((-11) \sin 35\)
(C) \((15) \cos 51\) \(v_2 \cos \theta\) \((11) \cos 35\)
(D) \((15) \sin 51 \) \(v_2 \sin \theta \) \((11) \sin 35\)