The formula for Potential Energy is as follows:
Potential Energy = mass x gravity x height
Begin by inserting any known values into the equation above:
W: 980 = (50)(9.8)(h)
X: 1029 = (35)(9.8)(h)
Y: 1519 = (62)(9.8)(h)
Z: 1176 = (24)(9.8)(h)
Then simplify the right side of each equation:
W: 980 = 490h
X: 1029 = 343h
Y: 1519 = 607.6h
Z: 1176 = 235.2h
Divide the coefficient of “h” from both sides of each equation:
W: (980/490) = h
X: (1029/343) = h
Y: (1519/607.6) = h
Z: (1176/235.2) = h
Simplify the left side of each equation:
W: 2 = h
X: 3 = h
Y: 2.5 = h
Z: 5 = h
Object Z has a height of 5. Object Z is sitting on the tallest hill.
I hope this helps!
