Concept explainers
(a)
The power developed by the winch.
(a)
Answer to Problem 94A
The power developed by the winch is
Explanation of Solution
Given:
The force applied on the crate is
The angle with the horizontal is
The speed is
The coefficient of friction between the crate and the incline is
Formula used:
The expression for the work done is
Here,
The expression for the power is
Here,
The expression for the velocity is
Calculation:
The work of the crate is done by the winch, gravity, and friction. The kinetic energy of the crate does not change, so the sum of the three works is equal to zero.
The normal force on the crate as follows:
The power developed by the winch as follows:
Conclusion:
Therefore, the power developed by the winch is
(b)
The electrical power delivered to the winch.
(b)
Answer to Problem 94A
The electrical power delivered to the winch is
Explanation of Solution
Given:
The force applied on the crate is
The angle with the horizontal is
The speed is
The coefficient of friction between the crate and the incline is
The efficiency of the winch is
Formula used:
The expression for efficiency is
Here,
Calculation:
From part (a), the power developed by the winch is
The electrical power delivered to the winch as follows:
Conclusion:
Therefore, the electrical power delivered to the winch is
Chapter 10 Solutions
Glencoe Physics: Principles and Problems, Student Edition
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