The gravitational acceleration on the moon is about one-sixth the size of the gravitational acceleration on earth. according to newton’s second law of motion, what happens to an astronaut who goes to the moon? a. the astronaut’s weight decreases because the moon’s gravitational acceleration is greater than earth’s. b. the astronaut’s weight increases because the moon’s gravitational acceleration is greater than earth’s. c. the astronaut’s weight decreases because the moon’s gravitational acceleration is less than earth’s. d. the astronaut’s weight increases because the moon’s gravitational acceleration is less than earth’s.

C. The astronaut’s weight decreases because the moon’s gravitational acceleration is less than Earth’s.

Explanation:

The weight of an object is given by:

where

m is the mass of the object

g is the value of the gravitational acceleration

Mass is an intrinsec property of an object, so the mass of an object does not depend on the location: it means that the mass of the astronaut is the same on Earth and on the Moon. The value of g, however, changes: in fact, the value of g on the Moon is about 1/6 of the value of g on the Earth. By looking at the formula, we see that the weight W is directly proportional to g: therefore, since the moon's gravitational acceleration is less than Earth's, also the weight of the astronaut will be less on the moon, and more precisely it will be 1/6 of his weight on the Earth.