Question

a solid uniform marble and a block of ice, each with the same mass, start from rest at the same height h above the bottom of a hill and move down it. the marble rolls without slipping, but the ice slides without friction.

Answer 1

The solid uniform marble rolls without slipping and gains both rotational and translational kinetic energy, while the block of ice only gains translational kinetic energy.

Step-by-step explanation:

In this scenario, the solid uniform marble rolls without slipping and the block of ice slides without friction. Both the marble and the ice block have the same mass and start from rest at the same height.

When the marble rolls down the hill, it converts potential energy into both rotational and translational kinetic energy. Since it rolls without slipping, it gains both types of kinetic energy.

On the other hand, the block of ice only converts potential energy into translational kinetic energy. Without friction, there is no rotational kinetic energy gained by the ice block.