A 3 kg toy car sits at the highest point of a 13 m high hill. The car is gently pushed forward until it begins to roll down the slope. Assuming the car coasts freely, without any friction or air resistance, how much kinetic energy (KE) and potential energy (PE) will it have at each of the indicated points? Complete the diagram by placing the correct label in each bin. Use g = 10 m/s? for the acceleration due to gravity. The diagram is not drawn to scale. Answer Bank 780 J 390 J 21J 180 J 6J PE = KE = 60 J 330 J 39 J OJ 210J PE = KE = 13 m PE = KE = PE = KE = 7 m 2 m

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**Toy Car Energy Analysis on a Hill**

A 3 kg toy car sits at the highest point of a 13 m high hill. The car is gently pushed forward until it begins to roll down the slope. Assuming the car coasts freely, without any friction or air resistance, how much kinetic energy (KE) and potential energy (PE) will it have at each of the indicated points? Complete the diagram by placing the correct label in each bin. Use \( g = 10 \, \text{m/s}^2 \) for the acceleration due to gravity. The diagram is not drawn to scale.

**Explanation of the Diagram:**

The diagram illustrates a hill with four distinct positions of a toy car:

1. **Top of the Hill:**
   - Height: 13 m
   - Potential Energy (PE) and Kinetic Energy (KE) need to be calculated.

2. **First Dip:**
   - Height: 2 m
   - Potential Energy (PE) and Kinetic Energy (KE) need to be calculated.

3. **Going Up the Next Hill:**
   - Height: 7 m
   - Potential Energy (PE) and Kinetic Energy (KE) need to be calculated.

4. **Bottom of the Second Hill:**
   - Height: 0 m
   - Potential Energy (PE) and Kinetic Energy (KE) need to be calculated.

**Answer Bank:**
- 780 J
- 390 J
- 21 J
- 180 J
- 6 J
- 60 J
- 330 J
- 39 J
- 0 J
- 210 J

The task is to match these energy values to the correct positions of the toy car, taking into consideration the changes in height and the conservation of mechanical energy.
Transcribed Image Text:**Toy Car Energy Analysis on a Hill** A 3 kg toy car sits at the highest point of a 13 m high hill. The car is gently pushed forward until it begins to roll down the slope. Assuming the car coasts freely, without any friction or air resistance, how much kinetic energy (KE) and potential energy (PE) will it have at each of the indicated points? Complete the diagram by placing the correct label in each bin. Use \( g = 10 \, \text{m/s}^2 \) for the acceleration due to gravity. The diagram is not drawn to scale. **Explanation of the Diagram:** The diagram illustrates a hill with four distinct positions of a toy car: 1. **Top of the Hill:** - Height: 13 m - Potential Energy (PE) and Kinetic Energy (KE) need to be calculated. 2. **First Dip:** - Height: 2 m - Potential Energy (PE) and Kinetic Energy (KE) need to be calculated. 3. **Going Up the Next Hill:** - Height: 7 m - Potential Energy (PE) and Kinetic Energy (KE) need to be calculated. 4. **Bottom of the Second Hill:** - Height: 0 m - Potential Energy (PE) and Kinetic Energy (KE) need to be calculated. **Answer Bank:** - 780 J - 390 J - 21 J - 180 J - 6 J - 60 J - 330 J - 39 J - 0 J - 210 J The task is to match these energy values to the correct positions of the toy car, taking into consideration the changes in height and the conservation of mechanical energy.
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