
(a)
The final speed of the particles in terms of
(a)

Answer to Problem 62P
The final speed of the particles of mass
Explanation of Solution
Given information: The masses of the particle are
Write the expression to calculate the initial momentum of both particle.
Here,
Write the expression to calculate the initial kinetic energy of both particle.
Here,
Write the expression of final momentum of the particle of mass m.
Here,
Write the expression of conservation of momentum equation.
Here,
Substitute
Write the expression to calculate the final velocity of the particle of mass
Here,
Substitute
Write the expression of conservation of energy.
Here,
Substitute
Thus, the final speed of the particle of mass
The final velocity of the particle of mass
The final speed of the particle of mass
Substitute
The magnitude of the velocity
Thus, the final speed of the particle of mass
Conclusion:
Therefore, the final speed of the particles of mass
(b)
The angle
(b)

Answer to Problem 62P
The angle
Explanation of Solution
Given information: The masses of the particle are
Write the expression to calculate the angle
Here,
The final velocity of the particle of mass
The x and y component of
Substitute
Thus, the angle
Conclusion:
Therefore, the angle
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Chapter 8 Solutions
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