A 2.1 x 103-kg car starts from rest at the top of a 5.5-m-long driveway that is inclined at 15° with the horizontal. If an average friction force of 4.0 x 103 N impedes the motion, find the speed of the car at the bottom of the driveway. m/s Need Help? Read It

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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**Problem Statement:**

A \(2.1 \times 10^3\)-kg car starts from rest at the top of a 5.5-m-long driveway that is inclined at \(15^\circ\) with the horizontal. If an average friction force of \(4.0 \times 10^3\) N impedes the motion, find the speed of the car at the bottom of the driveway.

\(\_\_\_\_\_\_\_\_\_\_\_) \, \text{m/s}\)

**Details:**

- Mass of the car: \(2.1 \times 10^3\) kg
- Length of the driveway: 5.5 m
- Incline angle: \(15^\circ\)
- Average friction force: \(4.0 \times 10^3\) N

**Instructions:**

- Use principles of energy conservation to find the speed of the car at the bottom of the incline.
- Consider gravitational potential energy at the top and kinetic energy at the bottom.
- Account for the work done against the friction force.

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Transcribed Image Text:**Problem Statement:** A \(2.1 \times 10^3\)-kg car starts from rest at the top of a 5.5-m-long driveway that is inclined at \(15^\circ\) with the horizontal. If an average friction force of \(4.0 \times 10^3\) N impedes the motion, find the speed of the car at the bottom of the driveway. \(\_\_\_\_\_\_\_\_\_\_\_) \, \text{m/s}\) **Details:** - Mass of the car: \(2.1 \times 10^3\) kg - Length of the driveway: 5.5 m - Incline angle: \(15^\circ\) - Average friction force: \(4.0 \times 10^3\) N **Instructions:** - Use principles of energy conservation to find the speed of the car at the bottom of the incline. - Consider gravitational potential energy at the top and kinetic energy at the bottom. - Account for the work done against the friction force. **Interactive Features:** - Need Help? [Button] - Provides hints and guidance for solving. - Read It [Button] - Offers detailed explanations and related examples. - My Notes [Button] - Allows users to jot down thoughts or calculations. - Ask Your Teacher [Button] - Enables students to submit queries directly to their teacher.
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