You have been chosen as the test subject for the newest attraction at Disney. This attraction is a single-person roller coaster ride that has a 25.0 m drop followed by a plunger/piston device that brings the ride to rest. The plunger/piston is connected to a cylinder that contains 250 kg of water. The cart has a mass of 75.0 kg and starts at rest from the top of the track. To determine the total mass of the cart during the ride you must add your mass. As the cart moves down the track it has been determined that friction in the wheels and axles results in the production of 2750 J of thermal and sound energy combined. The plunger/piston at the bottom of the device has been designed to stop the cart with a maximum acceleration of 5.00 g’s (i.e., 49.0 m/s2). QUESTION:  The remaining kinetic energy of the cart is removed as work is done pushing in the plunger/piston and compressing the water inside the cylinder. Use the work equation to determine the displacement of the plunger/piston.

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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You have been chosen as the test subject for the newest attraction at Disney. This attraction is a single-person roller coaster ride that has a 25.0 m drop followed by a plunger/piston device that brings the ride to rest. The plunger/piston is connected to a cylinder that contains 250 kg of water. The cart has a mass of 75.0 kg and starts at rest from the top of the track. To determine the total mass of the cart during the ride you must add your mass. As the cart moves down the track it has been determined that friction in the wheels and axles results in the production of 2750 J of thermal and sound energy combined. The plunger/piston at the bottom of the device has been designed to stop the cart with a maximum acceleration of 5.00 g’s (i.e., 49.0 m/s2).

QUESTION: 

The remaining kinetic energy of the cart is removed as work is done pushing in the plunger/piston and compressing the water inside the cylinder. Use the work equation to determine the displacement of the plunger/piston.

Determine the displacement of the plunger/piston as it compresses the water inside the cylinder.

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