Part 5 of 5 - Hitting the Ground Next, calculate the same values as the box slides along the top of the hill. These values are presented in the same order in each part, but you may need to find them in a different order. (a) What is the kinetic energy of the box at the starting point? K2=1531.64 J (b) What is the gravitational potential energy of the box at the starting point? U₂=0J (c) What is the total energy of the box at the starting point? E2 1531.64 J II. Velocity Now, use this to find the velocity of the box at the top of the hill. (a) What is the velocity of the box at the top of the hill? W 11.8 m/s 11.8 m/s (0.5 × ŷ + x +0.5 × 2) 2

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
icon
Concept explainers
Topic Video
Question
Sliding Up a Hill
When a problem contains only conservative forces, it is possible to model much of the dynamics using only energy conservation. In this application, you will return to the sliding box problem, but the ramp is replaced with a
strangely-shaped but frictionless slope. This makes this into a very difficult problem to solve kinematically, but straight-forward using energy conservation.
ū
h
You push a box of mass 22 kg with your car up to an icy hill slope of irregular shape to a height 5.2 m and width 4.5 m. The box has a speed 11.8 m/s when it starts up the hill, the same time that you brake. It then rises up to
the top (with no friction), which flattens off levelly for a distance 5 m. It ends at a sheer cliff, and then falls to the ground at the same level as where the box started (with no drag).
Use the ground as the zero for potential energies.
Part 5 of 5 - Hitting the Ground
Next, calculate the same values as the box slides along the top of the hill. These values are presented in the same order in each part, but you may need to find them in a different order. (a) What is the kinetic energy of the box
at the starting point?
K2=1531.64 J
(b) What is the gravitational potential energy of the box at the starting point?
U₂ =0J
(c) What is the total energy of the box at the starting point?
E2 = 1531.64 J
II. Velocity
Now, use this to find the velocity of the box at the top of the hill.
(a) What is the velocity of the box at the top of the hill?
-11.8 m/s
11.8 m/s
(0.5
128 Ý +0.5
× 2)
2
Transcribed Image Text:Sliding Up a Hill When a problem contains only conservative forces, it is possible to model much of the dynamics using only energy conservation. In this application, you will return to the sliding box problem, but the ramp is replaced with a strangely-shaped but frictionless slope. This makes this into a very difficult problem to solve kinematically, but straight-forward using energy conservation. ū h You push a box of mass 22 kg with your car up to an icy hill slope of irregular shape to a height 5.2 m and width 4.5 m. The box has a speed 11.8 m/s when it starts up the hill, the same time that you brake. It then rises up to the top (with no friction), which flattens off levelly for a distance 5 m. It ends at a sheer cliff, and then falls to the ground at the same level as where the box started (with no drag). Use the ground as the zero for potential energies. Part 5 of 5 - Hitting the Ground Next, calculate the same values as the box slides along the top of the hill. These values are presented in the same order in each part, but you may need to find them in a different order. (a) What is the kinetic energy of the box at the starting point? K2=1531.64 J (b) What is the gravitational potential energy of the box at the starting point? U₂ =0J (c) What is the total energy of the box at the starting point? E2 = 1531.64 J II. Velocity Now, use this to find the velocity of the box at the top of the hill. (a) What is the velocity of the box at the top of the hill? -11.8 m/s 11.8 m/s (0.5 128 Ý +0.5 × 2) 2
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Kinetic energy
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
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