Rocks A and B are located at the same height on top of a hill. The mass of rock A is twice the mass of rock B. How does the potential energy of rock B compare to that of rock A?

Respuesta :

Potential energy is defined by formula

[tex]U = mgh[/tex]

here

m = mass

g = acceleration due to gravity

h = height

Now here two different stones are located at same height

while mass of stone A is twice that of stone B

so here we can say potential energy of A is

[tex]U_a = (2m)gh[/tex]

Similarly potential energy of B is

[tex]U_b = mgh[/tex]

now if we take the ratio of two energy

[tex]\frac{U_a}{U_b} = 2[/tex]

so we can say potential energy of stone A is two times the potential energy of B

Answer:

rock b has one half the potential energy of rock a