(Figure 1)A roller-coaster car may be represented by a block of mass 50.0 kg . The car is released from rest at a height h = 54.0 m above the ground and slides along a frictionless track. The car encounters a loop of radius R = 18.0 m at ground level, as shown. As you will learn in the course of this problem, the initial height 54.0 m is great enough so that the car never loses contact with the track. Figure 1 of 1 <> R

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter6: Some Methods In The Calculus Of Variations
Section: Chapter Questions
Problem 6.6P
icon
Related questions
icon
Concept explainers
Topic Video
Question
100%
(Figure 1)A roller-coaster car may be represented by a block of mass 50.0 kg. The car is released from rest at a height h = 54.0 m above the ground and slides along a frictionless track. The car encounters a loop of radius R = 18.0 m at ground level, as shown. As you will learn in the course of this problem, the initial height 54.0 m is great enough so that the car never loses contact with the track.
 
a) Find the kinetic energy K of the car at the top of the loop.
Express your answer numerically, in joules.
 
b)Find the minimum initial height hmin at which the car can be released that still allows the car to stay in contact with the track at the top of the loop.
Express your answer numerically, in meters.
(Figure 1)A roller-coaster car may be represented by a
block of mass 50.0 kg . The car is released from rest at a
height h = 54.0 m above the ground and slides along a
frictionless track. The car encounters a loop of radius R
= 18.0 m at ground level, as shown. As you will learn in
the course of this problem, the initial height 54.0 m is
great enough so that the car never loses contact with the
track.
Figure
1 of 1
<>
R
Transcribed Image Text:(Figure 1)A roller-coaster car may be represented by a block of mass 50.0 kg . The car is released from rest at a height h = 54.0 m above the ground and slides along a frictionless track. The car encounters a loop of radius R = 18.0 m at ground level, as shown. As you will learn in the course of this problem, the initial height 54.0 m is great enough so that the car never loses contact with the track. Figure 1 of 1 <> R
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Knowledge Booster
Simple Harmonic Motion
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Classical Dynamics of Particles and Systems
Classical Dynamics of Particles and Systems
Physics
ISBN:
9780534408961
Author:
Stephen T. Thornton, Jerry B. Marion
Publisher:
Cengage Learning
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University