Concept explainers
The minimum acceleration of the elevator and its direction.
Answer to Problem 47P
Solution: The acceleration of the elevator is
Explanation of Solution
Given: Mass of the monkey,
The tension in the cord of the elevator,
Formula Used: From Newton’s second law of motion:
Where, m is the mass and a is the acceleration.
Calculation:
If the elevator accelerates upwards, then:
Whereais the acceleration of the elevator.
If the elevator accelerates downwards, then:
The tension will be greater when the elevator accelerates upwards. Therefore, consider the following equation:
Substitute the values and solve:
Since the value of acceleration is also positive, the elevator is definitely moving in an upward direction.
Conclusion:
Therefore, the acceleration of the elevator is
Chapter 5 Solutions
Physics: Principles with Applications
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