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A ball is dropped in a lift moving up with an acceleration a. What will be effective acceleration of the ball in lift frame if gravitational acceleration of the earth is 'g'?

A ball is dropped in a lift moving up with an acceleration a. What will be effective acceleration of the ball in lift frame if gravitational acceleration of the earth is 'g'? Correct Answer ​a<sub>eff </sub>= a + g

CONCEPT:​

  • Effective acceleration in a moving lift:
    • ​When lift moving upward: Effective acceleration experienced by ball in lift frame.

​aeff = a + g

Where a is the acceleration of lift, g is gravitational acceleration, and aeff  is effective acceleration.

  • When lift moving downward: Effective acceleration experienced by ball in lift frame.

​​aeff  = g - a

Where a is the acceleration of lift, g is gravitational acceleration, and aeff is effective acceleration.

EXPLANATION:

Given that acceleration of lift with respect to the earth or ground = a

Acceleration of lift with respect to the earth or ground = acceleration of lift - acceleration of the earth = a

aeff - g = a

​aeff = a + g

So the correct answer is option 1.

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