(a)
To sketch:The situations before and after collision.
(a)
Answer to Problem 96A
The sketch of the situations before and after collision is shown in Figure 1.
Explanation of Solution
Given info:
Consider the mass of fullback as
Consider the initial velocity towards a goal line for a touchdown is
The initial velocity of one line backer
The initial velocity of other line backer
Calculation:
For the given specifications, the situation before and after collision are shown below.
Figure 1
A full back is running towards the positive x-direction, with a velocity
Conclusion:
Therefore, the sketch of the situations before and after collision is shown in the figure 1.
(b)
The velocity of the players after collision.
(b)
Answer to Problem 96A
The velocity of the players after collision is
Explanation of Solution
Given:
Consider the mass of fullback as
Consider the initial velocity towards a goal line for a touchdown is
The initial velocity of one line backer
The initial velocity of other line backer
Formula used:
The expression for the momentum is,
Here,
Calculation:
Consider the final velocity of the fullback and the line bakers are
Refer to Figure 1 given in part (a).
By the law of conservation of momentum, the initial momentum of the system is equal to the final momentum of the system.
Conclusion:
Therefore, the velocity of the players after collision is
(c)
To identify:Whether the fullback scores a touchdown.
(c)
Answer to Problem 96A
Yes, the fullback scores a touchdown.
Explanation of Solution
Given:
Consider the mass of fullback as
Consider the initial velocity towards a goal line for a touchdown is
The initial velocity of one line backer
The initial velocity of other line baker
Formula used:
The expression for the momentum is,
Here,
Calculation:
From part (b), the velocity of the players after collision is
The velocity of the players after collision is positive. This shows that the velocity of the players is in the direction of the fullback. So the fullback scores a touchdown.
Hence, the fullback can cross the goal line for a touchdown.
Conclusion:
Therefore, the fullback scores a touchdown.
Chapter 9 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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