Question

An astronaut takes her bathroom scales to the moon, where g = 1.6 m/. On the moon, compared to at home on earth:

(A) Her weight is less, and her mass is less.
(B) Her weight is the same, and her mass is less.
(C) Her weight is the same, and her mass is the same.
(D) Her weight is less, and her mass is the same.
(E) Her weight is zero, and her mass is the same.

Answer 1

Step-by-step explanation:

Weight is defined as the force with which a planet pulls the object towards its centre.

Weight = mass x acceleration due to gravity of the planet

W = m x g

The amount of matter contained in the substance is called mass.

the mass of the substance remains same at every planet but the weight is changed as the value of acceleration due to gravity is different for all the planets.

As the acceleration due to gravity on moon is 1.6 m/s^2 and it is less than the acceleration due to gravity on earth. So, the weight of the astronaut is less than the weight on earth and mass remains same.

Weight is less but the mass is same.

Option (D) is true.

Answer 2

Answer: (D) Her weight is less, and her mass is the same.

Step-by-step explanation:

Mass is the total amount of matter contained in the body.

Weight is the force exerted by gravity on a mass.

`weight=mass* gravity`

When the value of g is more, weight is more.

For moon g=
`1.6m/s^2` , whereas for earth
`g=9.8m/s^2`

Thus weight is more on earth as compared to moon.

On the moon, compared to at home on earth: Her weight is less, and her mass is the same.