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What is the weight of an astronaut while...

What is the weight of an astronaut while going up in a rocket with an acceleration 6 g if he actually weighs 75 kg, when stationary on the surface of the earth ? What is his apparent weight if the rocket falls down freely towards the earth ?

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When the lift is moving upwards `W_1=m(g+a)therefore600=mg+ma`
When it is moving downwards `W_2=m(g-a)therefore360=mg-ma 600 +300 =mg + ma + mg - ma=2mg thereforemg=960/2= 480`
Real Weight of the mass =480N.
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