Question

1. imagine that two balls of modeling clay collide, deform, and continue to move in the same direction. how does this show that kinetic energy is not conserved in an inelastic collision?

the kinetic energy stays the same because the balls of clay move together.
kinetic energy is conserved because the balls of clay bounce off of each other and then stick together.
kinetic energy is being used to deform the balls of modeling clay.
kinetic energy is being used to keep the clay together as a unit.

Explanation:

Step1: Analyze inelastic collision

In an inelastic collision, kinetic energy is not conserved. When two clay balls collide and move together, some kinetic energy is used for deformation.

Step2: Evaluate each option

• Option "The kinetic energy stays the same because the balls of clay move together": In inelastic collision, kinetic energy is not conserved, so this is wrong.
• Option "Kinetic energy is conserved because the balls of clay bounce off of each other and then stick together": Bouncing off would imply more kinetic - energy - related motion (closer to elastic), but they just stick (inelastic), so wrong.
• Option "Kinetic energy is being used to keep the clay together as a unit": Kinetic energy is used for deformation (to change shape as they stick), not just to 'keep together'.
• Option "Kinetic energy is being used to deform the balls of modeling clay": In an inelastic collision of clay balls, kinetic energy is used for deformation (changing the shape of the clay), which shows kinetic energy is not conserved.

Answer:

Kinetic energy is being used to deform the balls of modeling clay.