Object A has a gravitational potential energy of 24 joules when it rests on a shelf 5 m above the ground. Object B has a mass that is three times the mass of Object A. What would be the gravitational potential energy of object B when it rests on a shelf 10 m above the ground?
G.P.E. = m g h
B is three times as massive as A ... and is twice as high above the ground
g.p.e. B = g.p.e. A * 3 * 2
To find the gravitational potential energy of object B when it rests on a shelf 10 m above the ground, you can use the formula for gravitational potential energy:
Potential Energy = mass * gravity * height
Let's break down the problem step by step:
Step 1: Determine the mass of object B.
You're given that the mass of object B is three times the mass of Object A. Let's represent the mass of object A as "m". Then the mass of object B would be 3m.
Step 2: Determine the gravitational potential energy of object A.
You're given that object A has a gravitational potential energy of 24 joules when it rests on a shelf 5 m above the ground. Using the formula above, we can write:
24 J = m * g * 5 m
Step 3: Solve for the mass of object A.
Rearranging the equation:
m = 24 J / (g * 5 m)
Step 4: Determine the gravitational potential energy of object B.
Now that you have the mass of object A, you can find the gravitational potential energy of object B using the same formula:
Potential Energy of B = 3m * g * 10 m
Step 5: Substitute the mass of object A and solve for the potential energy of object B.
Plug in the value you found for m in step 3 into the equation from step 4 to find the gravitational potential energy of object B when it rests on a shelf 10 m above the ground.