What is the gravitational potential energy of a 0.80 kg mass at a height of 1 m?

Understand the Problem

The question is asking for the calculation of gravitational potential energy using the formula PE = mgh, where m is the mass, g is the acceleration due to gravity (approximately 9.81 m/s²), and h is the height. We need to calculate the gravitational potential energy of a mass of 0.80 kg at a height of 1 m.

Answer

The gravitational potential energy is $7.848$ Joules.

Steps to Solve

Identify the values We have the following values:

Mass ($m$) = 0.80 kg
Acceleration due to gravity ($g$) = 9.81 m/s²
Height ($h$) = 1 m

Substitute values into the formula We will substitute the identified values into the gravitational potential energy formula:

$$ PE = mgh $$

This gives us:

$$ PE = (0.80) \times (9.81) \times (1) $$

Perform the calculation Now we multiply the values together:

$$ PE = 0.80 \times 9.81 \times 1 $$

Calculating this step-by-step:

First, calculate $0.80 \times 9.81$: $$ 0.80 \times 9.81 = 7.848 $$

Then, multiply by height, which is 1: $$ PE = 7.848 \times 1 = 7.848 $$

Final result Thus, the gravitational potential energy is

$$ PE = 7.848 \text{ Joules} $$

The gravitational potential energy is $7.848$ Joules.

More Information

Gravitational potential energy (PE) is the energy stored in an object due to its height above the ground. The higher an object is, the more gravitational potential energy it has. The formula $PE = mgh$ shows how mass, height, and gravity contribute to this energy.

Tips

Forgetting to convert units if needed (e.g., kg to grams).
Miscalculating the multiplication, especially under pressure.

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