https://file.aiquickdraw.com/mathbot/file/1726318493931mmtcxghx.jpg

To calculate the gain in gravitational potential energy (GPE) of the ball, we can use the formula:

\[
\text{GPE} = m \cdot g \cdot h
\]

Where:
- \( m \) is the mass of the ball (0.5 kg),
- \( g \) is the gravitational field strength on Earth (9.8 N/kg),
- \( h \) is the height the ball is lifted (1.2 m).

Let's calculate this:

\[
\text{GPE} = 0.5 \cdot 9.8 \cdot 1.2
\]

I'll calculate the result now.The gain in gravitational potential energy of the ball is 5.88 joules.

Would you like more details or have any further questions?

Here are 5 related questions to expand your understanding:
1. What is gravitational potential energy and how is it different from kinetic energy?
2. How would the GPE change if the ball's mass were doubled?
3. What would happen to the GPE if the ball were lifted on a different planet with a different gravitational field strength?
4. How does the height affect the GPE of an object?
5. How can you relate the gain in GPE to the work done on the ball?

**Tip:** Gravitational potential energy depends linearly on both mass and height—doubling either quantity will double the GPE.

A 0.5 kg ball was thrown 1.2 m vertically upwards. Calculate the gain in gravitational potential energy of the ball. The gravitational field strength on Earth is 9.8 N/kg.

Learn how to calculate the gain in gravitational potential energy of a 0.5 kg ball thrown 1.2 m upwards. Using the GPE = m * g * h formula, this problem involves concepts of gravity and energy, suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation