A box with a mass of 5.8 kg is lifted from the garage floor and placed on a shelf. If the box gains 145 J of potential energy, what is the height of the shelf?

The question is about figuring out the height where a box was placed using its gained potential energy. The formula for potential energy is used to solve for height. After substituting the given mass, potential energy, and acceleration due to gravity, the calculation gives the shelf's height.

Explanation:

The subject of this question is physics, and it relates to calculating the height of a shelf where a box has been placed using the box's gained potential energy. To solve this problem, we apply the formula for potential energy, which is P.E. = mgh, where m is mass, g is gravity, and h is height. Because we know the potential energy (145J) and mass (5.8 kg), and we also know that acceleration due to gravity (g) is approximately 9.8 m/s² on the earth's surface, we can rearrange the formula to solve for h:

h = P.E. / (m * g)

Substituting the given values:

h = 145J / (5.8 kg * 9.8 m/s²)

After calculating, you'll get the height of the shelf the box was lifted to.

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