Homework Help is Here – Start Your Trial Now!
Science
Physics
There are (one can say) three coequal theories of motion for a single particle: Newton's second law, stating that the total force on the particle causes its acceleration; the work-kinetic energy theorem, stating that the total work on the particle causes its change in kinetic energy; and the impulse-momentum theorem, stating that the total impulse on the particle causes its change in momentum. In this problem, you compare predictions of the three theories in one particular case. A 3.00-kg object has velocity 7.00ĵ m/s. Then, a constant net force 12.0i N acts on the object for 5.00 s. (a) Calculate the object's final velocity, using the impulse-momentum theorem. (b) Calculate its accelera- tion from a = (v,- v,)/At. (c) Calculate its acceleration from a = EF/m. (d) Find the object's vector displacement from Ar = vt + at?. (e) Find the work done on the object from W= F ·AF. (f) Find the final kinetic energy from mv,? = mv,• v,. (g) Find the final kinetic energy from z mv? + W. (h) State the result of comparing the answers to parts (b) and (c), and the answers to parts (f) and (g).

There are (one can say) three coequal theories of motion for a single particle: Newton's second law, stating that the total force on the particle causes its acceleration; the work-kinetic energy theorem, stating that the total work on the particle causes its change in kinetic energy; and the impulse-momentum theorem, stating that the total impulse on the particle causes its change in momentum. In this problem, you compare predictions of the three theories in one particular case. A 3.00-kg object has velocity 7.00ĵ m/s. Then, a constant net force 12.0i N acts on the object for 5.00 s. (a) Calculate the object's final velocity, using the impulse-momentum theorem. (b) Calculate its accelera- tion from a = (v,- v,)/At. (c) Calculate its acceleration from a = EF/m. (d) Find the object's vector displacement from Ar = vt + at?. (e) Find the work done on the object from W= F ·AF. (f) Find the final kinetic energy from mv,? = mv,• v,. (g) Find the final kinetic energy from z mv? + W. (h) State the result of comparing the answers to parts (b) and (c), and the answers to parts (f) and (g).

Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter8: Momentum And Collisions
Section: Chapter Questions
Problem 31P
See similar textbooks
icon
Related questions
Question
There are (one can say) three coequal theories of motion for a single particle: Newton's second law, stating that the total force on the particle causes its acceleration; the work-kinetic energy theorem, stating that the total work on the particle causes its change in kinetic energy; and the impulse-momentum theorem, stating that the total impulse on the particle causes its change in momentum. In this problem, you compare predictions of the three theories in one particular case. A 3.00-kg object has velocity 7.00ĵ m/s. Then, a constant net force 12.0i N acts on the object for 5.00 s. (a) Calculate the object's final velocity, using the impulse-momentum theorem. (b) Calculate its accelera- tion from a = (v,- v,)/At. (c) Calculate its acceleration from a = EF/m. (d) Find the object's vector displacement from Ar = vt + at?. (e) Find the work done on the object from W= F ·AF. (f) Find the final kinetic energy from mv,? = mv,• v,. (g) Find the final kinetic energy from z mv? + W. (h) State the result of comparing the answers to parts (b) and (c), and the answers to parts (f) and (g).
Transcribed Image Text:There are (one can say) three coequal theories of motion for a single particle: Newton's second law, stating that the total force on the particle causes its acceleration; the work-kinetic energy theorem, stating that the total work on the particle causes its change in kinetic energy; and the impulse-momentum theorem, stating that the total impulse on the particle causes its change in momentum. In this problem, you compare predictions of the three theories in one particular case. A 3.00-kg object has velocity 7.00ĵ m/s. Then, a constant net force 12.0i N acts on the object for 5.00 s. (a) Calculate the object's final velocity, using the impulse-momentum theorem. (b) Calculate its accelera- tion from a = (v,- v,)/At. (c) Calculate its acceleration from a = EF/m. (d) Find the object's vector displacement from Ar = vt + at?. (e) Find the work done on the object from W= F ·AF. (f) Find the final kinetic energy from mv,? = mv,• v,. (g) Find the final kinetic energy from z mv? + W. (h) State the result of comparing the answers to parts (b) and (c), and the answers to parts (f) and (g).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
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
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS