A 2000kg car accelerates from rest under the action of two forces. One is a forward force of 1200N provided by the traction between the wheels and the road. The other is a 1000N resistive force due to various frictional forces. Use the work-kinetic energy theorem to determine how far the car must travel for its speed to reach 4.0 m/s. (Hint: Work-KE theorem Wnet= AKE=KE-KE, and Wnet Fnet*d Cose ) CAR F friction F forward

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Chapter1: Units, Trigonometry. And Vectors
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### Problem Statement

1. A 2000 kg car accelerates from rest under the action of two forces. One is a forward force of 1200 N provided by the traction between the wheels and the road. The other is a 1000 N resistive force due to various frictional forces. Use the work-kinetic energy theorem to determine how far the car must travel for its speed to reach 4.0 m/s.

*(Hint: Work-K.E theorem \( W_{\text{net}} = \Delta KE = KE_f - KE_i \), and \( W_{\text{net}} = F_{\text{net}} \cdot d \cdot \cos \theta \))*

### Diagram Description

- **Diagram**: The diagram is a schematic sketch illustrating the forces acting on the car.
  - **CAR**: A rectangular box labeled "CAR" represents the vehicle.
  - **Arrows**: 
    - An arrow labeled "F forward" pointing to the right indicates the forward force due to traction.
    - An arrow labeled "F friction" pointing to the left represents the resistive force due to friction.

**Fig. Schematic Sketch for the given problem.**
Transcribed Image Text:### Problem Statement 1. A 2000 kg car accelerates from rest under the action of two forces. One is a forward force of 1200 N provided by the traction between the wheels and the road. The other is a 1000 N resistive force due to various frictional forces. Use the work-kinetic energy theorem to determine how far the car must travel for its speed to reach 4.0 m/s. *(Hint: Work-K.E theorem \( W_{\text{net}} = \Delta KE = KE_f - KE_i \), and \( W_{\text{net}} = F_{\text{net}} \cdot d \cdot \cos \theta \))* ### Diagram Description - **Diagram**: The diagram is a schematic sketch illustrating the forces acting on the car. - **CAR**: A rectangular box labeled "CAR" represents the vehicle. - **Arrows**: - An arrow labeled "F forward" pointing to the right indicates the forward force due to traction. - An arrow labeled "F friction" pointing to the left represents the resistive force due to friction. **Fig. Schematic Sketch for the given problem.**
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