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.

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

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