does the that mechanical energy with another one at rest it is possible that both of them at rest after collision
Answers
Answer:
Classical Mechanics tells us that the fundamental quantity conserved in collisions is Momentum and Energy( Energy is always conserved). Now, we will ignore energy because we are interested in the velocity of the objects and Kinetic Energy may not be conserved in collisions (Energy can change forms).
Answer:
Technically…No. Because if you have initial momentum P⃗ ≠0 , if both of the objects were at rest after the collision the total momentum of the system would be P⃗ =0 , which violates conservation of momentum.
But to a very good approximation, it is possible. That is, in real life, you would measure that both objects are at rest. Imagine you jumping some stairs, and you collide with the ground when you land. Initially, before you collide you some initial momentum (in earth’s frame) and the ground is at rest. After you collide, both you and the ground are at rest (in earth’s frame). So, what happened? Well, Earth’s mass is so huge that its momentum changed by a minuscule amount after the collision, so little that we are not even able to measure the difference.
Consequently, since in real life it both of the objects can be at rest after the collision if the one that is initially at rest is very massive , for all intensive purposes, YES , it is possible. I just want to emphasize, momentum is still conserved, but the velocity of the massive object changes by so little that we can’t even measure it.