A tennis ball of mass 0.060 kg is served. It strikes the ground with a velocity of 54 m / s(120

step 1 For this question is important to note that the force which is acting on the ball is going to be

A tennis ball of mass 0.060 kg is served. It strikes the...

A tennis ball of mass $0.060 \mathrm{kg}$ is served. It strikes the ground with a velocity of $54 \mathrm{m} / \mathrm{s}(120 \mathrm{mi} / \mathrm{h})$ at an angle of $22^{\circ}$ below the horizontal. Just after the bounce it is moving at $53 \mathrm{m} / \mathrm{s}$ at an angle of $18^{\circ}$ above the horizontal. If the interaction with the ground lasts $0.065 \mathrm{s}$, what average force did the ground exert on the ball?

Key Concepts

Vector Decomposition

Vector decomposition involves breaking down a vector into its component parts, typically along mutually perpendicular axes, such as horizontal and vertical directions. This is particularly useful when dealing with forces or velocities at an angle, as it allows for the separate analysis of the effects in each direction.

Average Force Calculation

The calculation of average force involves dividing the impulse, or change in momentum, by the time interval over which the force acts. This concept is essential in understanding how forces during collisions or impacts can be estimated by analyzing the change in an object's motion over a short time period.

Impulse-Momentum Theorem

The impulse-momentum theorem states that the impulse on an object is equal to the change in its momentum. This theorem provides a direct link between the force applied, the duration of its application, and the resulting change in the object's state of motion.

Momentum

Momentum is a fundamental concept in mechanics defined as the product of an object's mass and its velocity. It is a vector quantity, which means it has both magnitude and direction, and changes in momentum reflect the effects of forces acting on the object over time.

Impulse

Impulse represents the change in momentum of an object when a force is applied over a certain time interval. It quantifies how a force, acting for a specific duration, alters the momentum, and like momentum, impulse is also a vector quantity.

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