Question

The acceleration due to gravity is lower on the Moon than on Earth. Which one of the following statements is true about the mass and weight of an astronaut on the Moon's surface, compared to Earth?
a) Mass is the same, weight is less.
b) Both mass and weight are the same.
c) Mass is less, weight is the same.
d) Both mass and weight are less.

Answer 1

Answer:

a) Mass is the same, weight is less.

Explanation:

As we know that the mass of the object is the measurement of the quantity of the matter that is present in it

So here we can say that if the mass of the object is m then its total quantity of the matter that is present in it is given as

$mass = (density)\times (volume)$

Now for the weight of the object is defined as the force of gravity due to planet

$F_g = mg$

so the weight of the object is depending on the acceleration due to gravity of the planet

As we know that the gravity of moon is smaller than the gravity of the earth so here weight on the moon will be smaller than the weight on the Earth

so correct answer will be

a) Mass is the same, weight is less.

Answer 2

mass is the same, weight is less because weight =mass ×gravity