The table shows information about for objects resting at the top of a hill. which object is on the tallest hill?

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!

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