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This worksheet focuses on calculating kinetic energy (KE) and gravitational potential energy (GPE) for different objects based on their mass, velocity, height, or weight. Here's a breakdown of the information and formulas needed to solve each problem:

### Key Formulas:
1. **Kinetic Energy (KE)**:  
   \[ \text{KE} = \frac{1}{2} m v^2 \]  
   where:
   - \( m \) is the mass of the object (in kilograms),
   - \( v \) is the velocity (in meters per second).

2. **Gravitational Potential Energy (GPE)**:  
   \[ \text{GPE} = m g h \]  
   or equivalently (if weight is given):  
   \[ \text{GPE} = W \times h \]  
   where:
   - \( m \) is the mass (in kilograms),
   - \( g \) is the acceleration due to gravity (approximately \( 9.8 \, \text{m/s}^2 \) on Earth),
   - \( h \) is the height (in meters),
   - \( W \) is the weight (force) in newtons (N).

### Solutions for Each Question

1. **Question 1:** 
   - **Problem:** A volleyball has a mass of \( 2.1 \, \text{kg} \) and is served with a speed of \( 30 \, \text{m/s} \).
   - **Solution:** Calculate KE using the formula \( \text{KE} = \frac{1}{2} m v^2 \).
   - \( \text{KE} = \frac{1}{2} \times 2.1 \times (30)^2 \).

2. **Question 2:** 
   - **Problem:** A baby carriage at the top of a hill, height \( 21 \, \text{m} \), weight \( 12 \, \text{N} \).
   - **Solution:** Calculate GPE using \( \text{GPE} = W \times h \).
   - \( \text{GPE} = 12 \times 21 \).

3. **Question 3:** 
   - **Problem:** A car traveling at \( 40 \, \text{m/s} \) with a mass of \( 1120 \, \text{kg} \).
   - **Solution:** Calculate KE using \( \text{KE} = \frac{1}{2} m v^2 \).
   - \( \text{KE} = \frac{1}{2} \times 1120 \times (40)^2 \).

4. **Question 4:** 
   - **Problem:** A cinder block at a height of \( 20 \, \text{m} \), weight \( 79 \, \text{N} \).
   - **Solution:** Calculate GPE using \( \text{GPE} = W \times h \).
   - \( \text{GPE} = 79 \times 20 \).

5. **Question 5:** 
   - **Problem:** A bell at the top of a \( 45 \, \text{m} \) tower, weighing \( 190 \, \text{N} \).
   - **Solution:** Calculate GPE using \( \text{GPE} = W \times h \).
   - \( \text{GPE} = 190 \times 45 \).

6. **Question 6:** 
   - **Problem:** A roller coaster at the top of a \( 72 \, \text{m} \) hill, weight \( 966 \, \text{N} \).
   - **Solution:** Calculate GPE using \( \text{GPE} = W \times h \).
   - \( \text{GPE} = 966 \times 72 \).

7. **Question 7:** 
   - **Problem:** An object with a mass of \( 25 \, \text{kg} \) moving at \( 5 \, \text{m/s} \).
   - **Solution:** Calculate KE using \( \text{KE} = \frac{1}{2} m v^2 \).
   - \( \text{KE} = \frac{1}{2} \times 25 \times (5)^2 \).

Would you like me to work out each answer in detail? Let me know if you have any questions.

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### Related Questions for Further Study:
1. What is the difference between kinetic and potential energy?
2. How does mass affect both KE and GPE?
3. Why is gravitational acceleration constant in these calculations?
4. How would KE change if the speed of an object doubled?
5. How would GPE change if the height were tripled?

#### Tip:
Always ensure units are consistent in calculations, especially with mass (kg), weight (N), velocity (m/s), and height (m).

Calculate kinetic and gravitational potential energy for objects with given mass, velocity, height, or weight.

This worksheet helps students calculate kinetic and gravitational potential energy of various objects using key formulas based on mass, velocity, height, or weight. Ideal for students in Grades 9-10, it includes step-by-step examples for accurate energy calculations.

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