Concept explainers
(a)
The terminal velocity of the rod.
(a)
Answer to Problem 86P
The terminal velocity of the rod is
Explanation of Solution
Write the expression for motional emf.
Here,
Write the expression to find the magnitude of the magnetic force.
Here,
Substitute
Substitute
Substitute
Here,
Conclusion:
Substitute
Therefore, the terminal velocity of the rod is
(b)
The comparison of the rate of gravitational potential energy and the power dissipated in the resistor.
(b)
Answer to Problem 86P
The rate of gravitational potential energy and the power dissipated in the resistor are the same,
Explanation of Solution
Write the expression for the rate of change of gravitational energy.
Here,
Substitute
Substitute
Write the expression for the power converted in the resistor.
Substitute
Substitute
Conclusion:
Substitute
Substitute
Therefore, the rate of gravitational potential energy and the power dissipated in the resistor are the same,
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