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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?

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?

University Physics Volume 1
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter7: Work And Kinetic Energy
Section: Chapter Questions
Problem 67P: A person in good physical condition can put out 100 W of useful power for several hours at a...
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.. 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 

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