4.44 One of the consequences of the law of conservation of energy [Eq. (4.27)] is that a roller coaster cart that begins at rest can never rise higher than its original height'. To overcome this limitation, The Hulk roller coaster at Universal Studios, Orlando, launches the cart up the ramp, such that it has an initial "boost" of kinetic energy (accompanied by the cries of pain from Bruce Banner as he transforms into the Hulk). With what minimum speed must the cart be launched if it is to reach a peak 150.0 m higher than its starting point? Assume iere is no friction between the track and the cart. Given that friction is present a real roller coaster, should you round your answer up or down?

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)...
icon
Related questions
Topic Video
Question
Only question 4.44
.. 4.45 An ideal (i.e., conservative) spring is compressed with 50.0 J of work. A
is released. Assume negligible air resistance in the following questions.
(c) What is the velocity of the projectile when it returns to its original height?
(a) What is the average power delivered by the force of gravity to the projectile
(b) What is the velocity of the projectile as it is launched?
3.0 kg projectile is placed on top of the compressed spring, and then the spring
COO 1.0
Figure P.4.14. Figure for Problem 4.43.
ove jooido
hallen ton
(c) What forms of energy is the initial kinetic energy converted into?
ot a nod
. 4.43 A horizontal spring with spring constant k = 500 N/m is compressed by
Aa = 2.0 cm by a 1.0 kg block, as in Figure P.4.14. When the block is released,
it travels a distance of 1.0 m before coming to a stop. What frictional force acts
on the block? How far should the spring be compressed if it is to travel 2.0 m?
0.5 m? Is the relationship between the compression distance and the distance
traveled linear?
4.44 One of the consequences of the law of conservation of energy Eq. (4.27)|
is that a roller coaster cart that begins at rest can never rise higher than its
original height'. To overcome this limitation, The Hulk roller coaster at Universal
Studios, Orlando, launches the cart up the ramp, such that it has an initial
"boost" of kinetic energy (accompanied by the cries of pain from Bruce Banner
as he transforms into the Hulk). With what minimum speed must the cart be
launched if it is to reach a peak 150.0 m higher than its starting point? Assume
there is no friction between the track and the cart. Given that friction is present
ua real roller coaster, should you round your answer up or down?
la) How high does the projectile go?
as it ascends?
e) What is tho
uo joctile
Transcribed Image Text:.. 4.45 An ideal (i.e., conservative) spring is compressed with 50.0 J of work. A is released. Assume negligible air resistance in the following questions. (c) What is the velocity of the projectile when it returns to its original height? (a) What is the average power delivered by the force of gravity to the projectile (b) What is the velocity of the projectile as it is launched? 3.0 kg projectile is placed on top of the compressed spring, and then the spring COO 1.0 Figure P.4.14. Figure for Problem 4.43. ove jooido hallen ton (c) What forms of energy is the initial kinetic energy converted into? ot a nod . 4.43 A horizontal spring with spring constant k = 500 N/m is compressed by Aa = 2.0 cm by a 1.0 kg block, as in Figure P.4.14. When the block is released, it travels a distance of 1.0 m before coming to a stop. What frictional force acts on the block? How far should the spring be compressed if it is to travel 2.0 m? 0.5 m? Is the relationship between the compression distance and the distance traveled linear? 4.44 One of the consequences of the law of conservation of energy Eq. (4.27)| is that a roller coaster cart that begins at rest can never rise higher than its original height'. To overcome this limitation, The Hulk roller coaster at Universal Studios, Orlando, launches the cart up the ramp, such that it has an initial "boost" of kinetic energy (accompanied by the cries of pain from Bruce Banner as he transforms into the Hulk). With what minimum speed must the cart be launched if it is to reach a peak 150.0 m higher than its starting point? Assume there is no friction between the track and the cart. Given that friction is present ua real roller coaster, should you round your answer up or down? la) How high does the projectile go? as it ascends? e) What is tho uo joctile
Expert Solution
Step 1

according to conservation of energy 

energy can never be destroyed only it can transform from one form to other 

i.e 

kinetic energy can be trasfered to its potential energy and potential energy can be transferred to KE but it cannot be destroyed ideally 

if the height of body  of mass m is rised by height h from its original position then its potential energy increases by mgh 

where g = acceleration due to gravity = 9.81 m/s2

if mass if body is m and speed is v then its KE is given by 

KE = 0.5Mv2 

here 

KE = kinetic energy 

PE = potential energy 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Mechanical Work done
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.
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON