Question

A worker assigned to the restoration of the Washington Monument is checking the condition of the stone at the very top of the monument. A nickel with a mass of 0.005 kg is in her shirt pocket. What is the gravitational potential energy (GPE) of the nickel at the top of the monument?

Answer 1

Answer:

The gravitational potential energy of the nickel at the top of the monument is 8.29 J.

Explanation:

We can find the gravitational potential energy using the following  formula.

$GPE=mgh$

Identifying given information.

The nickel has a mass $m=0.005 \,kg$, and it is a the top of Washington Monument.

The Washington Monument has a height of $h=555 \, ft$, thus we need to find the equivalence in meters using unit conversion in  order to find the gravitational potential energy.

Converting from feet to meters.

Using the conversion factor 1 m = 3.28 ft, we have

$h = 555 \, ft \times \cfrac{1 \, m}{3.28 \, ft}$

That give u s

$h = 169.2 \, m$

Finding Gravitational Potential Energy.

We can replace the height and mass on the formula

$GPE=mgh$

And we get

$GPE=(0.005)(9.8)(169.2) \, J$

$\boxed{GPE=8.29 \,J}$

The gravitational potential energy of the nickel at the top of the monument is 8.29 J.

Answer 2

The gravitational potential energy (GPE) of the nickel at the top of the monument is; GPE = 8.289 J

We are given;

Mass of nickel; m = 0.005 kg

• Now, since we want to find the gravitational potential energy at the top of the Washington Monument, we need the height of the Washington Monument which from history is 555 ft.

Thus, h = 555 ft

Converting to SI unit of meters gives;

h = 169.164 m

Formula for gravitational potential energy is;

GPE = mgh

Where g is acceleration due to gravity = 9.8 m/s²

Thus;

GPE = 0.005 × 9.8 × 169.164

GPE = 8.289 J

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