### Physics Problem - Car Accelerating Up a Hill #### Problem Statement A 1650 kg car accelerates up a hill by applying a force of \( 4.61 \times 10^3 \) N parallel to the hill. The hill is at an incline of 13°.  Key details: - Mass of the car: \( 1650 \, \text{kg} \) - Applied force parallel to the hill: \( 4.61 \times 10^3 \, \text{N} \) - Incline angle of the hill: 13° - Initial velocity of the car (\( v_0 \)): \( 16 \, \text{m/s} \) - Distance traveled (\( d \)): \( 17 \, \text{m} \) #### Questions **a.** What is the net work done on the car as it travels 17 m up the hill? - *Hint*: Calculate the work done by each force in the system. There are three forces. The net work is the sum of the works done by each individual force. **b.** What is the change in kinetic energy for the car? **c.** The car is traveling at a speed of \( 16 \, \text{m/s} \) at the bottom of the hill. How fast is it moving at the top of the hill? #### Diagrams The diagram shows a car on an inclined plane. - The inclined plane is at an angle of 13°. - The car is moving a distance \( d = 17 \, \text{m} \) up the slope. - The initial velocity \( v_0 \) of the car is \( 16 \, \text{m/s} \). ### Explanation of Forces There are three primary forces acting on the car: 1. **Applied Force \( F_{\text{applied}} \)**: The force parallel to the hill, which is given as \( 4.61 \times 10^3 \, \text{N} \). 2. **Gravitational Force \( F_{\text{gravity}} \)**: The component of the car's weight acting parallel and perpendicular to the incline. 3. **Normal Force \( F_{\text{normal}} \)**: The perpendicular force exerted by
### Physics Problem - Car Accelerating Up a Hill #### Problem Statement A 1650 kg car accelerates up a hill by applying a force of \( 4.61 \times 10^3 \) N parallel to the hill. The hill is at an incline of 13°.  Key details: - Mass of the car: \( 1650 \, \text{kg} \) - Applied force parallel to the hill: \( 4.61 \times 10^3 \, \text{N} \) - Incline angle of the hill: 13° - Initial velocity of the car (\( v_0 \)): \( 16 \, \text{m/s} \) - Distance traveled (\( d \)): \( 17 \, \text{m} \) #### Questions **a.** What is the net work done on the car as it travels 17 m up the hill? - *Hint*: Calculate the work done by each force in the system. There are three forces. The net work is the sum of the works done by each individual force. **b.** What is the change in kinetic energy for the car? **c.** The car is traveling at a speed of \( 16 \, \text{m/s} \) at the bottom of the hill. How fast is it moving at the top of the hill? #### Diagrams The diagram shows a car on an inclined plane. - The inclined plane is at an angle of 13°. - The car is moving a distance \( d = 17 \, \text{m} \) up the slope. - The initial velocity \( v_0 \) of the car is \( 16 \, \text{m/s} \). ### Explanation of Forces There are three primary forces acting on the car: 1. **Applied Force \( F_{\text{applied}} \)**: The force parallel to the hill, which is given as \( 4.61 \times 10^3 \, \text{N} \). 2. **Gravitational Force \( F_{\text{gravity}} \)**: The component of the car's weight acting parallel and perpendicular to the incline. 3. **Normal Force \( F_{\text{normal}} \)**: The perpendicular force exerted by
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Key details:
- Mass of the car: \( 1650 \, \text{kg} \)
- Applied force parallel to the hill: \( 4.61 \times 10^3 \, \text{N} \)
- Incline angle of the hill: 13°
- Initial velocity of the car (\( v_0 \)): \( 16 \, \text{m/s} \)
- Distance traveled (\( d \)): \( 17 \, \text{m} \)
#### Questions
**a.** What is the net work done on the car as it travels 17 m up the hill?
- *Hint*: Calculate the work done by each force in the system. There are three forces. The net work is the sum of the works done by each individual force.
**b.** What is the change in kinetic energy for the car?
**c.** The car is traveling at a speed of \( 16 \, \text{m/s} \) at the bottom of the hill. How fast is it moving at the top of the hill?
#### Diagrams
The diagram shows a car on an inclined plane.
- The inclined plane is at an angle of 13°.
- The car is moving a distance \( d = 17 \, \text{m} \) up the slope.
- The initial velocity \( v_0 \) of the car is \( 16 \, \text{m/s} \).
### Explanation of Forces
There are three primary forces acting on the car:
1. **Applied Force \( F_{\text{applied}} \)**: The force parallel to the hill, which is given as \( 4.61 \times 10^3 \, \text{N} \).
2. **Gravitational Force \( F_{\text{gravity}} \)**: The component of the car's weight acting parallel and perpendicular to the incline.
3. **Normal Force \( F_{\text{normal}} \)**: The perpendicular force exerted by](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faa38d3af-d2a1-4c36-a58b-a982b5534c39%2F183d1992-b643-4bbe-b869-07ad6c6ac24d%2Fn4q8ifl.jpeg&w=3840&q=75)
Transcribed Image Text:### Physics Problem - Car Accelerating Up a Hill
#### Problem Statement
A 1650 kg car accelerates up a hill by applying a force of \( 4.61 \times 10^3 \) N parallel to the hill. The hill is at an incline of 13°.
Key details:
- Mass of the car: \( 1650 \, \text{kg} \)
- Applied force parallel to the hill: \( 4.61 \times 10^3 \, \text{N} \)
- Incline angle of the hill: 13°
- Initial velocity of the car (\( v_0 \)): \( 16 \, \text{m/s} \)
- Distance traveled (\( d \)): \( 17 \, \text{m} \)
#### Questions
**a.** What is the net work done on the car as it travels 17 m up the hill?
- *Hint*: Calculate the work done by each force in the system. There are three forces. The net work is the sum of the works done by each individual force.
**b.** What is the change in kinetic energy for the car?
**c.** The car is traveling at a speed of \( 16 \, \text{m/s} \) at the bottom of the hill. How fast is it moving at the top of the hill?
#### Diagrams
The diagram shows a car on an inclined plane.
- The inclined plane is at an angle of 13°.
- The car is moving a distance \( d = 17 \, \text{m} \) up the slope.
- The initial velocity \( v_0 \) of the car is \( 16 \, \text{m/s} \).
### Explanation of Forces
There are three primary forces acting on the car:
1. **Applied Force \( F_{\text{applied}} \)**: The force parallel to the hill, which is given as \( 4.61 \times 10^3 \, \text{N} \).
2. **Gravitational Force \( F_{\text{gravity}} \)**: The component of the car's weight acting parallel and perpendicular to the incline.
3. **Normal Force \( F_{\text{normal}} \)**: The perpendicular force exerted by
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