15- Create a question regarding the Kinetic energy and solve it? 16- Create a question regarding the Potential energy and solve it?

### Question 15: Kinetic Energy Problem **Problem:** A car with a mass of \(1500 \, \text{kg}\) is traveling at a speed of \(25 \, \text{m/s}\). Calculate its kinetic energy. **Solution:** 1. **Write the formula for kinetic energy:** \[ KE = \frac{1}{2}mv^2 \] 2. **Substitute the given values:** \[ KE = \frac{1}{2} \times 1500 \, \text{kg} \times (25 \, \text{m/s})^2 \] 3. **Calculate the square of the speed:** \[ 25^2 = 625 \, \text{m}^2/\text{s}^2 \] 4. **Complete the multiplication:** \[ KE = \frac{1}{2} \times 1500 \times 625 \] \[ KE = 750 \times 625 \] 5. **Final calculation:** \[ KE = 468750 \, \text{Joules} \] --- ### Question 16: Potential Energy Problem **Problem:** A \(2 \, \text{kg}\) object is lifted to a height of \(8 \, \text{m}\). Calculate the gravitational potential energy, using \(g = 9.81 \, \text{m/s}^2\). **Solution:** 1. **Write the formula for gravitational potential energy:** \[ PE = mgh \] 2. **Substitute the given values:** \[ PE = 2 \, \text{kg} \times 9.81 \, \text{m/s}^2 \times 8 \, \text{m} \] 3. **Perform the multiplication:** \[ PE = 2 \times 9.81 \times 8 \] 4. **Calculate step by step:** \[ 9.81 \times 8 = 78.48 \] \[ PE = 2 \times 78.48 = 156.96 \, \text{Joules} \] --- **Final Answers:** - **Kinetic Energy:** \(468750 \, \text{Joules}\) - **Potential Energy:** \(156.96 \, \text{Joules}\)