(a)
The acceleration of the baseball.
(a)
Answer to Problem 77A
Explanation of Solution
Given:
The initial velocity of the baseball is
The final velocity of the baseball is
The time interval for speed up is
The mass of baseball is
Formula used:
Show the expression for the acceleration
Here,
Calculation:
Find the acceleration of baseball as follows:
Apply the values for
Conclusion:
Thus, the acceleration of baseball is
(b)
The magnitude and direction of the force acting on the baseball.
(b)
Answer to Problem 77A
The force exerted on baseball is
Explanation of Solution
Given:
The initial velocity of the baseball is
The final velocity of the baseball is
The time interval for speed up is
The mass of baseball is
Formula used:
Newton’s Second Law:
The object’s acceleration is equivalent to the sum of the forces acting on the object divided by the object’s mass. That is,
Here,
Calculation:
Refer to part (a).
The acceleration of baseball is
Find the force exerted on the baseball as follows:
The negative sign of the force indicates that the direction of the force is opposite to the direction of the velocity of the baseball.
Conclusion:
Thus, the force exerted on the baseball is
(c)
Find the magnitude and direction of the force exerted on the player who caught the ball.
(c)
Answer to Problem 77A
The force exerted on the player while catching the ball is
Explanation of Solution
Given:
The initial velocity of the baseball is
The final velocity of the baseball is
The time interval for speed up is
The mass of baseball is
Formula used:
According to Newton’s Third Law, for every action, there is an equal and opposite reaction. When a body
Calculation:
Refer to part (b).
The force exerted on the baseball is
Consider the force exerted on the player while catching the ball is denoted by
Apply Newton’s Third Law of Motion,
The positive sign of the force indicates that the direction of the force is the same as the direction of the velocity of the baseball.
Conclusion:
Thus, the force exerted on the player while catching the ball is
Chapter 4 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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