Physics Help???

Question

A 50.0 kg block of ice moving to the right at 40.0 cm/s on an icy (frictionless) lake makes an elastic head-on collision with a 25.0 g ice cube that is at rest initially.

a)What is the velocity of each object after the collision?

b)What fraction of the initial kinetic energy is transferred to the 25.0 g ice cube?

Answer 1

(a)

Step 1:

Mass of the moving block is kg.

Velocity of moving block is .

Mass of the ice cube in rest is g.

Two blocks make a head on elastic collision.

Find the velocity of each object after the collision.

Velocity of the first object after collision is .

Velocity of the moving block after collision is 40 cm/s.

Step 2:

Velocity of the ice cube after collision is .

Velocity ice cube after collision is 80 cm/s.

Solution :

Velocity of the moving block after collision is 40 cm/s.

Velocity ice cube after collision is 80 cm/s.

Answer 2

(b)

Step 1:

Mass of the moving block is kg.

Velocity of moving block is .

Mass of the ice cube in rest is g.

Velocity of the moving block after collision is 39.96 cm/s.

Velocity ice cube after collision is 80 cm/s.

Find energy transferred to the 25.0 g ice cube.

Energy transferred to the 25.0 g ice cube is .

So the energy transferred to the 25.0 g ice cube is0.008 J.

Energy transferred to the 25.0 g ice cube is very small.

Solution :

The energy transferred to the 25.0 g ice cube is0.008 J.