True/False about Conservation of Energy and Momentum?

Two cars collide at an intersection, but do not "stick together" after the collision. Therefore, the collision was elastic. TRUE, elastic means they bounce.

It is possible for two isolated objects to collide so that all the initial kinetic energy of the system is lost.

TRUE, all the KE could be converted into other forms of energy like: sound, heat, deformation (stored). [See source for a condition.]

A system of particles with zero kinetic energy must also have zero momentum.

TRUE. When KE = 0, there are no speeds. In which case there can be no velocities either.

An object at rest on a slick surface is struck by a second object. After the collision, both objects must be moving.

FALSE. If the two objects have equal mass, m, we can have mV + mv = mV = mU = mu + mU. v = u = 0. So V = U, the one object coming in at V hits the other and transfers all its momentum to that one which speeds off at U while the first comes to a halt. [If you've played shuffleboard, you probably have seen this happen.]

A system of particles with zero momentum must also have zero kinetic energy.

FALSE. While the SUM(p) = 0 because each momentum is a vector, each individual particle can still have speed and, therefore, have KE.

Two cars collide at an intersection, but do not "stick together" after the collision. Therefore, the collision was elastic. - FALSE

it is possible for two isolated objects to collide so that all the initial kinetic energy of the system is lost.

- FALSE

A system of particles with zero kinetic energy must also have zero momentum. -TRUE

An object at rest on a slick surface is struck by a second object. After the collision, both objects must be moving. - idk what a slick surface is :/

A system of particles with zero momentum must also have zero kinetic energy. - TRUE

I hope true.