Waxed

Two sticky balls of wax (perfectly inelastic) are placed on a frictionless surface.

One has a mass of 20 g 20 \text{ g} and is sent due East at a speed of 2 cm/sec 2 \text{ cm/sec} .

One has a mass of 10 g 10 \text{ g} and is sent due West at a speed of 1 cm/sec 1\text{ cm/sec} .

When they collide head-on and stick together, what direction and speed will the final 30 g 30\text{ g} ball of wax have?

2/3 cm/sec due East 4/3 cm/sec due East 1 cm/sec due East 1/3 cm/sec due West 1 cm/sec due West No motion

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1 solution

Denton Young
Jul 30, 2016

The first ball has a linear momentum of 2 * 20 = 40 g cm/sec due East.

The second has a linear momentum of 1 * 10 = 10 g cm/sec due West.

The combination has a linear momentum of 40-10 = 30 g cm/sec due East. Mass = 30 g, so speed = 30/30 = 1 cm/sec due East.

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