angus has a mass of 78kg. he is standing in a rocket leaving the surface of the moon and is standing on some bathroom scales. the scales read 514.8N. given that the acceeleration due to gravity of the moon is 1.62m/s2 determine the acceleration with which the rocket is leaving the moon.
Assume the acceleration of the rocket is a(`m/s^2` ).
Using the Newtons second law of motion;
When the rocket travels upward from moon the weight recorded on the scale depend on two factors.
1. Acceleration of rocket (`uarr a` )
2. Acceleration due to gravity of moon (`darr1.62` )
`uarrF = ma`
`514.8 = 78xx(a-1.62)`
`a = 514.8/78+1.62`
`a = 8.22`
So the acceleration of the rocket is `8.22m/s^2` .