**Problem Statement:**A roller coaster is moving at 10 m/s at the top of the first hill (h = 40 m). Ignoring friction and air resistance, how fast will the roller coaster be moving at the top of a subsequent hill, which is 20 m?**Scenario Explanation:**- The roller coaster begins with an initial speed of 10 m/s at the top of a hill with a height of 40 meters.- The task is to determine the speed of the roller coaster when it reaches the top of another hill with a height of 20 meters, assuming there is no friction or air resistance acting on it.**Concepts Involved:**- **Conservation of Energy:** Since there is no friction or air resistance, mechanical energy (sum of potential and kinetic energy) is conserved.- **Potential Energy (PE):** \( PE = mgh \), where \( m \) is mass, \( g \) is acceleration due to gravity (approx. 9.81 m/s²), and \( h \) is height.- **Kinetic Energy (KE):** \( KE = \frac{1}{2}mv^2 \), where \( v \) is velocity.- At the top of the first hill, calculate the total mechanical energy.- At the top of the second hill, equate the mechanical energy to find the new velocity.

Answered: Image /qna-images/answer/8e6d1430-a551-4ff8-9191-891787b653ad.jpg

A roller coaster is moving at 10 m/s at the top of the first hill (h= 40 m). Ignoring friction and air resistance, how fast will the roller coaster be moving at the top of a subsequent hill, which is 20 m?

A roller coaster is moving at 10 m/s at the top of the first hill (h= 40 m). Ignoring friction and air resistance, how fast will the roller coaster be moving at the top of a subsequent hill, which is 20 m?

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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