Say I have two perfectly circular "things" in an empty world. One has a mass of 2, the other has a mass of 1. Is there EVER an instance in which these two objects will collide, and the mass of 1 will have a resulting vector with a smaller magnitude than the mass of 2? This is occasionally happening in my program, which seems to me an indication that something's funky with my equations.
I've heard it takes forever to grow a woman from the ground
Consider the case where both objects are moving in the same direction on the same path, the more massive one at a speed of 1, and the smaller one behind it and overtaking it with a speed of 4. After the collision, conserving momentum and kinetic energy, the small object will be motionless, and the large object will have accelerated to a speed of 3. (Both before and after, total momentum is 6, total kinetic energy 9.)
Joined: Apr 04, 2004
But if the smaller mass is still, then should it always end with a greater velocity?
Joined: Mar 04, 2004
By "Yes", I meant yes there is an instance in which these two objects will collide, and the mass of 1 will have a resulting vector with a smaller magnitude than the mass of 2 (in this example, the mass of 1 will have a resulting vector with a magnitude of 0).