A 5 g pecan hangs at the top of a very old pecan tree. The pecan has a gravitational potential energy of 1.1 J. How tall is the tree?

Question

Martin Steele

Physics

26 March, 02:20

A 5 g pecan hangs at the top of a very old pecan tree. The pecan has a gravitational potential energy of 1.1 J. How tall is the tree?

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Answers (1)

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Aracely Burns · Answer 1

Potential energy: U = mgh

Given: m = 5 g (convert to kg),

m = 0.005 kg and U = 1.1 J

and g = 9.8 m/s^2

Using the equation

U = mgh

Plug in what we know:

1.1 = (0.005) (9.8) h

Solve for h:

(1.1) / (0.049) = h

Then h = 22.45 m