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A student is trying to determine the minimum height from which to release a roller coaster cart so that the cart can complete the loop without falling off. Answer the questions for the case that the cart just barely loses contact with the surface at the top of the loop shown. Neglect backwards friction, drag and the size of the cart. Hint: Call the mass of the cart m. The mass will cancel! How many forces act on the cart at the top of the loop? 1 What is the cart's acceleration at the top of the loop? 250 m/s2 What is the cart's speed at the top of the loop? 55.9 m/s From what height must the cart be released? 50 m

A student is trying to determine the minimum height from which to release a roller coaster cart so that the cart can complete the loop without falling off. Answer the questions for the case that the cart just barely loses contact with the surface at the top of the loop shown. Neglect backwards friction, drag and the size of the cart. Hint: Call the mass of the cart m. The mass will cancel! How many forces act on the cart at the top of the loop? 1 What is the cart's acceleration at the top of the loop? 250 m/s2 What is the cart's speed at the top of the loop? 55.9 m/s From what height must the cart be released? 50 m

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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A student is trying to determine the minimum height from which to release a roller coaster cart so that the cart can complete the loop without falling off. Answer the questions for the case that the cart just barely loses contact with the surface at the top of the loop shown. Neglect backwards friction, drag and the size of the cart. Hint: Call the mass of the cart m. The mass will cancel! How many forces act on the cart at the top of the loop? What is the cart's acceleration at the top of the loop? 250 m/s2 What is the cart's speed at the top of the loop? 55.9 m/s From what height must the cart be released? 50 25m reference level
Transcribed Image Text:A student is trying to determine the minimum height from which to release a roller coaster cart so that the cart can complete the loop without falling off. Answer the questions for the case that the cart just barely loses contact with the surface at the top of the loop shown. Neglect backwards friction, drag and the size of the cart. Hint: Call the mass of the cart m. The mass will cancel! How many forces act on the cart at the top of the loop? What is the cart's acceleration at the top of the loop? 250 m/s2 What is the cart's speed at the top of the loop? 55.9 m/s From what height must the cart be released? 50 25m reference level
Expert Solution
Given Data

The height of the roller coaster top is (h),

Height of the loop top (H) = 25 m;

velocity at loop top is (V) m/s2,

mass of the cart is (m) kg 

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