Concept explainers
The 0.5kg ball strikes the rough ground and rebounds with the velocities shown. Determine the magnitude of the impulse the ground exerts on the ball. Assume that the ball does not slip when it strikes the ground, and neglect the size of the ball and the impulse produced by the weight of the ball.
The magnitude of the impulse the ground exerts on the ball.
Answer to Problem 1FP
The magnitude of the impulse the ground exerts on the ball is
Explanation of Solution
Given:
The mass of a ball,
The initial velocity of the ball,
The final velocity of the ball,
The angle between the initial velocity and the ground,
The angle between the final velocity and the ground,
Show the impulse and momentum diagram as in Figure (1).
Express the principle of impulse and momentum for a system of particles.
Here, the impulsive force vector is I, the initial vector velocity is
Use Figure (1) to find the value of
Here, i and j are the unit vectors.
Use Figure (1) to find the value of
Conclusion:
Substitute 25 m/s for
Substitute 10 m/s for
Substitute 0.5 kg for m,
Calculate the magnitude of the impulse the ground exerts on the ball using Equation (IV).
Thus, the magnitude of the impulse the ground exerts on the ball is
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Chapter 15 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
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