Compare the potential energy of a 5 lb ball at the top of a 5 foot hill and a 5 lb ball at the top of a 10 foot hill. question 4 options: their potential energies are the same because they have the same mass. potential energy doesn't depend on a object's relative height. the ball at the top of the 5 foot hill has more potential energy. the ball at the top of the 5 foot hill has less potential energy.

I'll firstly separate the options for the answer so the question is more clear:

a) Their potential energies are the same because they have the same mass.
b) Potential energy doesn't depend on an object's relative height.
c) The ball at the top of the 5 foot hill has more potential energy.
d) The ball at the top of the 5 foot hill has less potential energy.

If we look at the equation for gravitational potential energy:

GPE = mgh

GPE = gravitational potential energy
m = mass of the object
g = gravitational constant
h = height of the object

We can see that GPE and height have a direct linear relationship. Therefore, as the height increases, the potential energy increases. This relationship suggests that since the mass is equal, the ball at the top of the 10 ft hill will have more potential energy than the ball at the top of the 5 ft hill.

The answer we are looking for is d) The ball at the top of the 5 foot hill has less potential energy.

Mass is the amount of matter in an object.  weight is the measurement of the pull of gravity on an object.  say for example, you travel to the moon which has a different gravitational field compared to the gravitational field of earth. (gravitational fields: earth = 1, moon = 0.165)  now when you are on the moon, the pull of gravity on you is different than on the earth. and as weight is the measurement of the pull of gravity on an object, that means yes, your weight can and will change on the moon.  however, on the moon, on earth or even on jupiter, the amount of mass inside of you remains the same. meaning your physical mass remains constant.  in conclusion it is possible for your weight to change as your mass remains constant. 

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