https://file.aiquickdraw.com/mathbot/file/1726681072461lui0fci1.jpg

The problem asks to find the vertical distance a box was lifted, based on the given gravitational potential energy.

We can use the formula for gravitational potential energy:

\[
E_p = m \cdot g \cdot h
\]

Where:
- \( E_p \) 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 vertical height (which we need to find).

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

\[
h = \frac{E_p}{m \cdot g}
\]

Now, let's calculate the height \( h \).

\[
h = \frac{24.5}{5 \cdot 9.8}
\]The vertical distance the box was lifted is \( 0.5 \, \text{m} \).

Would you like more details or have any further questions?

Here are 5 related questions to expand on this topic:
1. What factors influence the gravitational potential energy of an object?
2. How would the energy change if the box were lifted on the Moon where gravity is weaker?
3. How do you calculate the work done in lifting the box?
4. What would happen to the gravitational potential energy if the mass of the box doubled?
5. How is gravitational potential energy related to kinetic energy when an object is dropped?

**Tip:** Gravitational potential energy depends on both the height and the mass of an object, as well as 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 based on its gravitational potential energy. The problem involves key physics concepts and uses the formula E_p = m * g * h. This example is suitable for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation