Question

Two vehicles collide and stick together. After the collision, their combined y-momentum is 2.40 × 104 kilogram meters/second, and their x-momentum is 7.00 × 104 kilogram meters/second. What is the angle of the motion of the two vehicles, with respect to the x-axis?

A)16.8°
B)17.0°
C)18.9°
D)20.8°
E)21.8°
just let know if its a-b

Answer 1

I got C) 18.9 degreese

Answer 2

Answer : What is the angle of the motion of the two vehicles, with respect to the x-axis is 18.9°

Explanation :

Given that,

Two vehicle collide and stick together. This shows an inelastic collision.

Momentum in y direction,
`p_y=2.4* 10^4\ kg\ m/s`

Momentum in x direction,
`p_x=7.00* 10^4\ kg\ m/s`

Since the momentum is vector quantity so the angle between them is given by :

`tan\ \theta=(p_y)/(p_x)`

`tan\ \theta=(2.4* 10^4\ kg\ m/s)/(7.00* 10^4\ kg\ m/s)`

`tan\ \theta=0.34`

`\theta=tan^(-1)(0.34)`

`\theta=18.77^0`

So, the correct option is (C) " 18.9° "