College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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**Designing a Roller Coaster: Energy Considerations**

You're tasked with the exciting challenge of designing a roller coaster for the Happy Land Safari and Fun Complex. The focus is on the final section of the ride, where a 200 kg cart will hit the bottom of a 10-meter-tall hill at a speed of 11 m/s. Engineers have installed speed boosters to ensure the cart ascends the hill successfully. Your objective is to determine the amount of work that the speed boosters should perform on the cart to ensure it reaches the top.

Options to consider:

- The speed boosters need to do at least 7,500 J of work to the cart.
- The speed boosters need to do at least 12,100 J of work to the cart.
- The speed boosters do not need to do any work to the cart. *(Selected Option)*
- The speed boosters need to do at least 19,600 J of work to the cart.

**Understanding the Options:**
 
Each option suggests a distinct amount of work needed by the speed boosters, measured in joules (J), to help the cart make it to the top of the hill. The correct choice depends on the calculation of kinetic and potential energy involved in the ride's motion.
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Transcribed Image Text:**Designing a Roller Coaster: Energy Considerations** You're tasked with the exciting challenge of designing a roller coaster for the Happy Land Safari and Fun Complex. The focus is on the final section of the ride, where a 200 kg cart will hit the bottom of a 10-meter-tall hill at a speed of 11 m/s. Engineers have installed speed boosters to ensure the cart ascends the hill successfully. Your objective is to determine the amount of work that the speed boosters should perform on the cart to ensure it reaches the top. Options to consider: - The speed boosters need to do at least 7,500 J of work to the cart. - The speed boosters need to do at least 12,100 J of work to the cart. - The speed boosters do not need to do any work to the cart. *(Selected Option)* - The speed boosters need to do at least 19,600 J of work to the cart. **Understanding the Options:** Each option suggests a distinct amount of work needed by the speed boosters, measured in joules (J), to help the cart make it to the top of the hill. The correct choice depends on the calculation of kinetic and potential energy involved in the ride's motion.
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