
(a)
The speed of the basketball.
(a)

Answer to Problem 24P
The speed of the bullet and baseball combination is
Explanation of Solution
Since after the collision, the bullet and baseball combination must have the same momentum as the bullet had just before it stuck the baseball.
Write the equation for law of conservation of momentum.
Here,
Write the equation for the momentum of the bullet before the collision.
Here,
Write the equation for the momentum of bullet and baseball combination after the collision.
Here,
Conclusion:
Substitute equation (III) and (II) in equation (I) and solve for
Substitute
Therefore, speed of the bullet and baseball combination is
(b)
The average force of baseball and bullet rising.
(b)

Answer to Problem 24P
The average force of the baseball and bullet combination is
Explanation of Solution
Write the equation for the conservation of energy.
Here,
Write the equation for kinetic energy.
Here,
Write the equation for potential energy.
Here,
Write the equation for work done by air resistance.
Here,
Conclusion:
Substitute
Substitute equation (V) and (VI) in equation (VII) to find
Substitute
Rearrange equation (VII) for average force.
Substitute
Therefore, the average force of the baseball and bullet combination is
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Chapter 7 Solutions
Physics
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