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?

Answer 1

Step-by-step explanation:

It is given that,

Momentum in y direction is
`2.4* 10^4\ kg-m/s`

Momentum in x direction is
`7* 10^4\ kg-m/s`

We need to find the angle of the motion of the two vehicles, with respect to the x-axis. The angle between two vectors is given by :

`\tan\theta=(p_y)/(p_x)\\\\\tan\theta=(2.4* 10^4)/(7* 10^(4))\\\\\theta=\tan^(-1)\left(0.342\right)\\\\\theta=18.88^(\circ)`

So, the angle of the motion of the two vehicles is 18.88 degrees.