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A semi-trailer is coasting downhill along a mountain highway when its brakes fail. The driver pulls onto a runaway truck ramp that is inclined at an angle of 20.0° above the horizontal. The semi-trailer coasts to a stop after traveling 160 m along the ramp. What was the truck's initial speed? Neglect air resistance and friction. Number i Units 00

A semi-trailer is coasting downhill along a mountain highway when its brakes fail. The driver pulls onto a runaway truck ramp that is inclined at an angle of 20.0° above the horizontal. The semi-trailer coasts to a stop after traveling 160 m along the ramp. What was the truck's initial speed? Neglect air resistance and friction. Number i Units 00

College Physics
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 semi-trailer is coasting downhill along a mountain highway when its brakes fail. The driver pulls onto a runaway truck ramp that is inclined at an angle of 20.0° above the horizontal. The semi-trailer coasts to a stop after traveling 160 m along the ramp. What was the truck's initial speed? Neglect air resistance and friction. ### Diagram Explanation: The diagram shows a semi-trailer truck moving along an inclined plane, which represents the runaway truck ramp. Key features of the diagram include: - **Truck Orientation**: The truck is shown on the inclined plane moving upward along the ramp. - **Incline Angle (\(\theta\))**: The ramp is inclined at an angle of 20.0°, denoted by \(\theta\), measured between the ramp and the horizontal. - **Distance (\(d\))**: The semi-trailer travels a distance of 160 m along the ramp before coming to a stop. - **Initial Velocity (\(v_0\))**: An arrow indicates the initial velocity of the truck as it enters the ramp. ### Calculation Section: To solve for the initial speed (\(v_0\)) of the truck, use the following steps and equations. Given the incline angle and distance, apply principles of physics (e.g., energy conservation or kinematics). ### Interactive Component: - An input field is provided for students to calculate and input the truck's initial speed. Units of measurement can also be selected from a dropdown menu. This scenario helps illustrate the application of physics concepts such as kinematics and dynamics in real-world situations involving inclined planes.
Transcribed Image Text:### Problem Statement: A semi-trailer is coasting downhill along a mountain highway when its brakes fail. The driver pulls onto a runaway truck ramp that is inclined at an angle of 20.0° above the horizontal. The semi-trailer coasts to a stop after traveling 160 m along the ramp. What was the truck's initial speed? Neglect air resistance and friction. ### Diagram Explanation: The diagram shows a semi-trailer truck moving along an inclined plane, which represents the runaway truck ramp. Key features of the diagram include: - **Truck Orientation**: The truck is shown on the inclined plane moving upward along the ramp. - **Incline Angle (\(\theta\))**: The ramp is inclined at an angle of 20.0°, denoted by \(\theta\), measured between the ramp and the horizontal. - **Distance (\(d\))**: The semi-trailer travels a distance of 160 m along the ramp before coming to a stop. - **Initial Velocity (\(v_0\))**: An arrow indicates the initial velocity of the truck as it enters the ramp. ### Calculation Section: To solve for the initial speed (\(v_0\)) of the truck, use the following steps and equations. Given the incline angle and distance, apply principles of physics (e.g., energy conservation or kinematics). ### Interactive Component: - An input field is provided for students to calculate and input the truck's initial speed. Units of measurement can also be selected from a dropdown menu. This scenario helps illustrate the application of physics concepts such as kinematics and dynamics in real-world situations involving inclined planes.
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