You and a friend from high school are off-roading through Ocala National Forest in your friend’s Jeep (mass of 1800 kg), when a Florida panther runs onto the path. You swerve to miss the panther, but slide into a muddy ditch and get stuck. Luckily, your friend has a winch on their Jeep, which you connect to a tree as shown in the figure. The ground between the Jeep and the tree has a steady slope with an angle of 5 degrees, and the coefficient of kinetic friction between the muddy ground and the rubber tires is 0.15.Consider that the winch is being used to pull the Jeep out of the ditch at a steady speed. a. How much does the gravitational potential energy (in Joules) of the Jeep change as it is pulled a distance of 5 m up the slope?b. How much work (in Joules) is done by the tension force in the winch as it pulls the Jeep a distance of 5 m up the slope?c. If the maximum power output of the winch is 6.6 horsepower (about 5000 W), what is the maximum speed (in m/s) at which the Jeep can be pulled from the ditch? The image illustrates a practical application of mechanical advantage using a pulley system. It depicts a vehicle, likely emphasizing the use of a winch, connected to a tree via a cable. Here's a breakdown of the components:1. **Vehicle**: Positioned on the left side, the vehicle is likely an off-road model designed to demonstrate winching techniques.2. **Cable**: A cable extends from the vehicle to a tree on the right, showcasing the connection necessary for towing or winching.3. **Pulley (Snatch Block)**: Located on the cable between the vehicle and the tree, the pulley serves to redirect the cable or provide mechanical advantage, reducing the force required by the winch to pull the vehicle.4. **Tree**: Anchored firmly to the ground, the tree acts as a stable point for the attachment of the pulley, essential for redirecting the cable.5. **Ground and Background**: A simple landscape with a ground line and mountains in the background, emphasizing an outdoor, rugged setting typical for off-road or recovery scenarios.This diagram demonstrates the basic principles of using a pulley system to enhance pulling power in vehicle recovery situations.

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Answered: You and a friend from high school are…

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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You and a friend from high school are off-roading through Ocala National Forest in your friend’s Jeep (mass of 1800 kg), when a Florida panther runs onto the path. You swerve to miss the panther, but slide into a muddy ditch and get stuck. Luckily, your friend has a winch on their Jeep, which you connect to a tree as shown in the figure. The ground between the Jeep and the tree has a steady slope with an angle of 5 degrees, and the coefficient of kinetic friction between the muddy ground and the rubber tires is 0.15.

Consider that the winch is being used to pull the Jeep out of the ditch at a steady speed.

a. How much does the gravitational potential energy (in Joules) of the Jeep change as it is pulled a distance of 5 m up the slope?

b. How much work (in Joules) is done by the tension force in the winch as it pulls the Jeep a distance of 5 m up the slope?

c. If the maximum power output of the winch is 6.6 horsepower (about 5000 W), what is the maximum speed (in m/s) at which the Jeep can be pulled from the ditch?

The image illustrates a practical application of mechanical advantage using a pulley system. It depicts a vehicle, likely emphasizing the use of a winch, connected to a tree via a cable. Here's a breakdown of the components:

1. **Vehicle**: Positioned on the left side, the vehicle is likely an off-road model designed to demonstrate winching techniques.

2. **Cable**: A cable extends from the vehicle to a tree on the right, showcasing the connection necessary for towing or winching.

3. **Pulley (Snatch Block)**: Located on the cable between the vehicle and the tree, the pulley serves to redirect the cable or provide mechanical advantage, reducing the force required by the winch to pull the vehicle.

4. **Tree**: Anchored firmly to the ground, the tree acts as a stable point for the attachment of the pulley, essential for redirecting the cable.

5. **Ground and Background**: A simple landscape with a ground line and mountains in the background, emphasizing an outdoor, rugged setting typical for off-road or recovery scenarios.

This diagram demonstrates the basic principles of using a pulley system to enhance pulling power in vehicle recovery situations.

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