Understanding the Concepts

* Work: Work is done when a force moves an object over a distance. It's measured in joules (J).

* Potential Energy: When an object is lifted, it gains potential energy due to its position relative to the Earth's gravitational pull.

Formula

The work done (and the potential energy gained) is calculated as:

* Work (W) = Force (F) x Distance (d)

Calculations

1. Force: The force required to lift the box is equal to its weight, which is calculated using:

* Force (F) = mass (m) x acceleration due to gravity (g)

* F = 62 kg x 9.8 m/s²

* F ≈ 607.6 N (Newtons)

2. Work: Now we can calculate the work done:

* Work (W) = Force (F) x Distance (d)

* W = 607.6 N x 12 m

* W = 7291.2 J

Answer: It takes approximately 7291.2 joules to lift a 62 kg box 12 meters off the ground.