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Question

A parachute of mass m starts coming down with a constant acceleration a. Determine the ballast mass to be released for the parachute to have an upward acceleration of the same magnitude. Neglect air drag.
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A
2maa+g
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B
maag
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C
maa+g
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D
2maga
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Solution

The correct option is A 2maa+g
If B is the upward thrust on parachute then,
ma=mgB-------------------(1)
If m is the mass released from the system so that the parachute moves up with acceleration a then,
(mm)a=B(mm)g------------------(2)
adding (1) and (2)
We get, 2mama=mgm=2maa+g
Hence,
option (A) is correct answer.

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