Question

Consider the collision of two skaters on ice. They are of equal mass. Is it possible that a body could change in momentum without changing in kinetic energy?

a) Yes
b) No

Answer 1

Yes, a body can change in momentum without changing in kinetic energy through completely inelastic collisions.

Step-by-step explanation:

Yes, it is possible for a body to change in momentum without changing in kinetic energy. This can occur in a completely inelastic collision, where the two objects stick together after the collision. In this type of collision, momentum is conserved because the total momentum before the collision is equal to the total momentum after the collision. However, kinetic energy is not conserved because some of the initial kinetic energy is converted into other forms of energy, such as sound or deformation of the objects.