High School

The acceleration due to gravity on the moon is about _______. If your weight on Earth is 607.6 N, how much do you weigh on the moon?

1) 100.8 lbs
2) 100.75 N
3) 100.75 kg
4) 600 kg

Answer :

Using the known acceleration due to gravity on the Moon, which is 1.625 m/s^2, and the formula for weight, the calculation shows that a person weighing 607.6N on Earth would weigh approximately 100.75N on the Moon. Therefore, the correct answer is 2) 100.75N.

The acceleration due to gravity on the Moon is about 1.625 m/s2. To find out how much you would weigh on the Moon, you can use the formula:

Weight on Moon = mass x acceleration due to gravity on Moon

In your case, if your weight on Earth is 607.6 N, we first need to find your mass since weight equals mass times acceleration due to gravity (Weight = mass x g). On Earth, g is approximately 9.81 m/s2, so:

mass = Weight on Earth / gEarth

mass = 607.6 N / 9.81 m/s2 ≈ 62 kg

Now, we will calculate the weight on the Moon:

Weight on Moon = mass x gMoon

Weight on Moon = 62 kg x 1.625 m/s2 ≈ 100.75 N

Therefore, you would weigh about 100.75 Newtons on the Moon. Therefore, the correct answer is 2) 100.75N.