Answered: ou 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, while for part c the speed of the Jeep can change.

a. Is the mechanical energy of the Jeep conserved? Give two different reasons why or why not.

b. What is the work done by the normal force as the jeep is pulled up the slope?

c. Assume that the Jeep is initially at rest, when you start the winch operating at its maximum power output of 6.6 horsepower (about 5000 W). After 2 seconds, you observe that the Jeep has moved 4.48 m along the slope. What will the speed of the Jeep be at this time?

The image illustrates a vehicle, depicted as a black SUV, positioned on a flat terrain facing a large tree. The tree is securely anchored by a strap, shown in white, around its trunk. A winch line extends from the front of the vehicle to an orange object, possibly a pulley or block. This object redirects the line to the tree, emphasizing a mechanical advantage setup often used in off-road recovery scenarios to increase pulling power and safety. The background features stylized blue mountains and a clear sky, providing context that this scene occurs in an outdoor, possibly rugged environment.

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