Concept explainers
A 10-kg mass on a horizontal friction-free air track is accelerated by a string attached to another 10-kg mass hanging vertically from a pulley as shown. What is the force due to gravity, in newtons, on the hanging 10-kg mass? What is the acceleration of the system of both masses?
The force due to gravity on the hanging mass and the acceleration of the system of both masses.
Answer to Problem 65A
The force due to gravity on the hanging mass is
The acceleration of the system of both masses is
Explanation of Solution
Given info:
The mass on the horizontal friction-free air track is
The vertical hanging mass is
Formula used:
The expression of weight as follows:
Here,
The expression for Newton’s second law of acceleration as follows:
Here,
Calculation:
Consider the acceleration due to gravity as
The force due to gravity on the hanging mass as follows:
Hence, the force due to gravity on the hanging mass is
The total mass on the system as follows:
The acceleration of the system of both masses as follows:
Hence, the acceleration of the system of both masses is
Conclusion:
Thus, the force due to gravity on the hanging mass is
Thus, the acceleration of the system of both masses is
Chapter 6 Solutions
Conceptual Physics: The High School Physics Program
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