Answer:
Before I answer I feel that I should provide some scientific background as to how you would go about determining the answer.
First point that’s important for you to understand is the following formula
F = G∗(M1∗M2)/d2
Where G is your gravitational constant, which means that comparing the two weights it won’t change and we don’t really have to worry ourselves too much about it.
Secondly we have the masses of the two individual objects, M1 and M2, in this case M1 is going to be 120 pounds.
Then you have d which is the distance between the centres of the two objects.
The second thing you need to understand is the fine print in the question. You asked how much you would weigh given that you weigh 120 pounds on Earth. The question from a pure science view is flawed as you don’t infact weigh 120 pounds, rather you have a mass of 120 pounds which will remain a constant. Your weight on Earth is actually 530 Newtons
(120lb=54,4311kg)
(54,4311kg*9.8) = approximately 530N
Now assuming you are right and the moon has a sixth of the earths mass, that would mean that you would weigh a sixth of it.
But wait theres more, because the radius of the moon is smaller it will have an impact. the radius of the moon infact is a sixth of the earths, which means that you will be multiplying by 36(because you are making the divisor a sixth smaller, but also squaring it)
this would mean that you would weigh six times as much on the moon as on Earth, which we know is not true. This implies you made a mistake with the mass of the moon compared to that of the Earth. So upon googling it.
Mass of Earth
5.972 × 10^24 kg
Mass of Moon
7.34767309 × 10^22
kilograms
Just looking at it the difference is about 200 times, which means that you probably misinterpreted the data, the gravitational attraction of the moon is a sixth of the Earths, which means you would weigh about 530/6N or to the casual viewer about 88 N
Note : I rounded and abstracted a lot because I feel its the gist of the answer and the understanding that’s important, you are welcome to contact me if you feel anything is incomplete or unclear. I did most of the math quickly and am liable to mistakes but the science is right(unless ofc you feel like bringing relativity in, but that’s a whole other can of worms
Step-by-step explanation:
Yess