When a tennis ball bounces from a racket, the ball loses...

When a tennis ball bounces from a racket, the ball loses approximately $30 \%$ of its kinetic energy to thermal energy. A ball that hits a racket at a speed of $10 \mathrm{m} / \mathrm{s}$ will rebound with approximately what speed? A. $8.5 \mathrm{m} / \mathrm{s}$ B. $7.0 \mathrm{m} / \mathrm{s}$ C. $4.5 \mathrm{m} / \mathrm{s}$ D. $3.0 \mathrm{m} / \mathrm{s}$

When a tennis ball bounces from a racket, the ball loses approximately $30 \%$ of its kinetic energy to thermal energy. A ball that hits a racket at a speed of $10 \mathrm{m} / \mathrm{s}$ will rebound with approximately what speed?
A. $8.5 \mathrm{m} / \mathrm{s}$
B. $7.0 \mathrm{m} / \mathrm{s}$
C. $4.5 \mathrm{m} / \mathrm{s}$
D. $3.0 \mathrm{m} / \mathrm{s}$

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Key Concepts

Inelastic Collisions

In inelastic collisions, some of the kinetic energy is lost to other forms of energy rather than being fully transferred between objects. This loss must be considered when determining the resulting speeds after a collision.

Square Law Relationship

Since kinetic energy is proportional to the square of an object's speed, any loss in energy affects the speed in a nonlinear way. This means that a given percentage loss in energy will result in a smaller percentage reduction in speed when taking the square root.

Kinetic Energy

This concept refers to the energy an object possesses due to its motion, calculated as one-half the mass multiplied by the square of its velocity. It is fundamental in understanding how changes in speed relate to changes in energy.

Energy Transformation in Collisions

During collisions, energy can be converted from kinetic energy to other forms such as thermal energy or sound. Recognizing that not all kinetic energy is conserved helps in analyzing the post-collision speed of objects.

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