An astronaut in a space station orbits above the Earth. In the space station, the acceleration due to gravity is $$7.5\ m / s^{2}$$. On Earth, the acceleration due to gravity is $$10\ m / s^{2}$$.
Which statement about the astronaut’s mass and weight in the space station is correct?
A
Mass of astronaut - Same as on the Earth, weight of astronaut - greater than the weight on the Earth
B
Mass of astronaut - lower than as on the Earth, weight of astronaut - less than the weight on the Earth
C
Mass of astronaut - lower than as on the Earth, weight of astronaut - greater than the weight on the Earth
D
Mass of astronaut - Same as on the Earth, weight of astronaut - less than the weight on the Earth
Correct option is A. Mass of astronaut - Same as on the Earth, weight of astronaut - less than the weight on the Earth
Since Mass is the property of the body so it remains the same.
Weight $$W=mg$$ , where g is the acceleration due to gravity at that place.
It is clear from the question that, $$g_{earth} > g_{space\ station}$$
So $$W_{earth} > W_{space\ station}$$