https://file.aiquickdraw.com/mathbot/file/1726318578631vu0roumb.jpg

To solve the problem from the image, we will use the formula for gravitational potential energy (GPE):

\[
\text{GPE} = mgh
\]

Where:
- \( \text{GPE} \) is the gravitational potential energy (24.5 J),
- \( m \) is the mass of the box (5 kg),
- \( g \) is the gravitational field strength (9.8 N/kg),
- \( h \) is the height (vertical distance) the box was lifted, which we need to calculate.

Rearranging the formula to solve for \( h \):

\[
h = \frac{\text{GPE}}{mg}
\]

Substitute the known values:

\[
h = \frac{24.5 \, \text{J}}{5 \, \text{kg} \times 9.8 \, \text{N/kg}}
\]

Now, let's calculate this.The vertical distance the box was lifted is 0.5 meters.

Would you like further details or have any other questions?

Here are some related questions you might find useful:

1. How does gravitational potential energy change with height?
2. What is the relationship between mass and gravitational potential energy?
3. How would the height change if the mass of the box were doubled?
4. What happens to gravitational potential energy in the absence of gravity?
5. How does Earth's gravity compare to that on other planets?

**Tip:** Always remember that gravitational potential energy depends on the mass, the height, and the strength of the gravitational field.

A 5 kg box stores an extra 24.5 J of energy in its gravitational potential energy store when it is lifted onto a shelf. Calculate the vertical distance the box was lifted. The gravitational field strength on Earth is 9.8 N/kg.

Learn how to calculate the vertical distance a 5 kg box was lifted using the gravitational potential energy formula (GPE = mgh). This example involves a box storing 24.5 J of energy, with a gravitational field strength of 9.8 N/kg. Suitable for high school physics students.

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