Question

A wrench weighs 5.24 N on Earth. When it is taken to the Moon, where g = 1.60 m / s? how much does it weigh? (Hint: Its mass does not change.) (Unit = N)

Answer 1

Step-by-step explanation:

0.8555

Answer 2

The weight of the wrench on the Moon is approximately 0.8555 N

Step-by-step explanation:

On Earth, the acceleration of gravity at sea level is 9.8 m/s^2

then if the wrench weights 5.24 N that means that its mass according to Newton's second law is:

`F = m \, a\\m=(F)/(a) \\m=(5.24)/(9.8) \, kg\\m=0.5347`

Now we can use the wrench's mass to find its weight on the Moon, knowing that the acceleration due to gravity there is 1.6 m/s^2:

`W=m\,g\\W=(0.5347) \,(1.6) \,N\\W=0.8555\,\,N`