Concept explainers
(a)
The speed of the composite object.
(a)
Answer to Problem 70AP
The speed of the composite object after collision is
Explanation of Solution
Apply law of conservation of energy. Energy before collision is equal to the energy after collision.
Write the expression for the energy of colliding object.
Here,
Write the expression for the energy of the stationary object.
Here,
Write the expression for the energy of the composite object.
Here,
The sum of energy of colliding object and the stationary object is equal to the energy of the composite object.
Use expressions (I), (II), and (III) in (IV).
Write the expression for the momentum of the colliding particle.
Here,
Write the expression for the momentum of the stationary object.
Here,
Write the expression for the momentum of the composite object.
Here,
Apply law of conservation of momentum. The sum of momentum of the stationary object and the colliding particle is equal to the momentum of composite object.
Use expressions (VI), (VII), and (VIII) in (IX).
Conclusion:
Substitute
Substitute
Divide expression (XII) by (XI).
Therefore, the speed of the composite object after collision is
(b)
The mass of the composite object.
(b)
Answer to Problem 70AP
The mass of the composite object is
Explanation of Solution
In part (a), equation for the mass of the composite object is found.
Conclusion:
Substitute
Therefore, the mass of the composite object is
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Chapter 39 Solutions
Physics for Scientists and Engineers With Modern Physics
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