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Chapter 7: Q7-3MCQ (page 170)

Two identical billiard balls traveling at the same speed have a head-on collision and rebound. If the balls had twice the mass, but maintained the same size and speed, how would the rebound be different? (a) At a higher speed.

(b) At slower speed.

(c) No difference.

Short Answer

Expert verified

(c) No difference in the rebound speed.

Step by step solution

01

Effect of mass on momentum and kinetic energy

Both kinetic energy and momentum are directly proportional to mass. So, their values will double if you double the mass.

02

Determine the effect on the final motion after doubling the mass

In this problem, the collision taking place is head-on. So, you can apply the conservation of momentum principle.

Based on this principle, if the mass is doubled, then both initial and final momentum will get doubled as they are equal.

This way, the conservation of the momentum equation will remain unchanged after doubling the mass.

From this equation, you can find that the final velocity is unchanged. So, there is no change in the rebound speed.

Thus, option (c) is the correct answer.

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Most popular questions from this chapter

Astronomers estimate that a 2.0-km-diameter asteroid collides with the Earth once every million years. The collision could pose a threat to life on Earth. (a) Assume a spherical asteroid has a mass of 3200 kg for each cubic meter of volume and moves toward the Earth at\(15\;{\rm{km/s}}\). How much destructive energy could be released when it embeds itself in the Earth? (b) For comparison, a nuclear bomb could release about\(4.0 \times {10^{16}}\;{\rm{J}}\). How many such bombs would have to explode simultaneously to release the destructive energy of the asteroid collision with the Earth?

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