Two objects collide and bounce off one another. After the collision, object m1 = 1.67 kg moves off at 14.5 m/s at a heading of 327 degrees. Object m2 = 1.66 kg moves off at 8.9 m/s at a heading of 211 degrees. Initially, m2 was traveling at 11.8 m/s at a heading of 318 degrees. What must have been the initial velocity of m1? Give the speed for your first answer and the compass heading for your second answer.

Question

Two objects collide and bounce off one another. After the collision, object m1 = 1.67 kg moves off at 14.5 m/s at a heading of 327 degrees. Object m2 = 1.66 kg moves off at 8.9 m/s at a heading of 211 degrees. Initially, m2 was traveling at 11.8 m/s at a heading of 318 degrees. What must have been the initial velocity of m1? Give the speed for your first answer and the compass heading for your second answer.

Answer 1

To find the initial velocity of m1, we need to use the principle of conservation of momentum. According to this principle, the total momentum before the collision is equal to the total momentum after the collision.

Let's break down the velocities of the objects along the x and y axes:

For m1:
Initial velocity (m1) = v1 = ?
Velocity after collision (m1) = v1' = 14.5 m/s (headin