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A stone is relaeased from an elevator ga...

A stone is relaeased from an elevator gaing up with acceleration `5m//s^(2).` The acceleration of the stone after the release is :

A

`5ms^(-2)`

B

`4.8ms^(-2)` upward

C

`4.8` down ward

D

`9.8 ms ^(-2) ` down ward

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the situation of the stone being released from the elevator. ### Step-by-Step Solution: 1. **Understand the Initial Conditions**: - The elevator is moving upward with an acceleration of \(5 \, \text{m/s}^2\). - The stone is released from the elevator. 2. **Identify the Forces Acting on the Stone**: - Once the stone is released, it is no longer influenced by the elevator's acceleration. The only force acting on the stone is gravity. 3. **Determine the Acceleration of the Stone After Release**: - The acceleration due to gravity (\(g\)) acts downward on the stone. The standard value of \(g\) is approximately \(9.8 \, \text{m/s}^2\). - Therefore, after the stone is released, its acceleration will be \(9.8 \, \text{m/s}^2\) downward. 4. **Conclusion**: - The acceleration of the stone after it is released from the elevator is \(9.8 \, \text{m/s}^2\) downward. ### Final Answer: The acceleration of the stone after the release is \(9.8 \, \text{m/s}^2\) downward. ---
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