(a)
the fraction of the initial energy is transferred to
(a)
Answer to Problem 92A
The first ball stops after the collision. So, the entire initial kinetic energy is transferred to the second ball.
Explanation of Solution
Given:
The mass of the two billiard balls is equal that is,
Formula used:
From the law of conservation of momentum, the total momentum before and after collision are equal. That is,
Here,
The total kinetic energy is also conserved. That is,
Calculation:
Ball 1 is moving with the velocity
The second ball is at rest initially, and both have same mass i.e.
Again, as the second ball is at rest, so from the equation (2),
Divide equation (4) with (1),
Use this equation to replace
Conclusion:
Hence, the first ball stops after the collision. So, the entire initial kinetic energy is transferred to the second ball.
(b)
the fraction of the initial energy is transferred to
(b)
Answer to Problem 92A
A very less energy is transformed to the second ball.
Explanation of Solution
Given:
The mass of the two billiard balls is equal that is,
Formula used:
From the law of conservation of momentum, the total momentum before and after collision are equal. That is,
Here,
The total kinetic energy is also conserved. That is,
Calculation:
If
Conclusion:
Hence, a very less energy is transformed to the second ball.
(c)
whether hydrogen, carbon or iron atoms would be more desirable to use for the given purpose or not.
(c)
Answer to Problem 92A
Hydrogen is more desirable to use for this purpose.
Explanation of Solution
Given:
The mass of the two billiard balls is equal that is,
Calculation:
When the mass of first ball is much smaller than the second ball, the first ball will rebound after collision. So, the neutrons should not be colliding with the large atoms, but it should collies with atoms of nearly same mass. So, hydrogen is more desirable for this purpose.
Conclusion:
Hence, hydrogen is more desirable for this purpose.
Chapter 11 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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