An object with mass m1 = 9.00 kg is in equilibrium while connected to a horizontal light spring of constant k = 100 N/m that is fastened to a wall. A second object, of mass m2 = 7.00 kg, is slowly pushed up against m1, compressing the spring by the amount A = 0.200 m. The system is then re- leased, and both objects start moving to the right on the frictionless surface. When mị reaches the equilibrium point, m2 loses contact with m1 and moves to the right with speed v. (a) Determine the value of v. (b) How far apart are the objects when the spring is fully stretched for the first time.
An object with mass m1 = 9.00 kg is in equilibrium while connected to a horizontal light spring of constant k = 100 N/m that is fastened to a wall. A second object, of mass m2 = 7.00 kg, is slowly pushed up against m1, compressing the spring by the amount A = 0.200 m. The system is then re- leased, and both objects start moving to the right on the frictionless surface. When mị reaches the equilibrium point, m2 loses contact with m1 and moves to the right with speed v. (a) Determine the value of v. (b) How far apart are the objects when the spring is fully stretched for the first time.
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter39: Relativity
Section: Chapter Questions
Problem 31PQ
Related questions
Question
Not sure how to approach part b.
Transcribed Image Text:An object with mass m1 = 9.00 kg is in equilibrium while connected to a horizontal light spring of
constant k
100 N/m that is fastened to a wall. A second object, of mass m2 = 7.00 kg, is slowly
pushed up against m1, compressing the spring by the amount A = 0.200 m. The system is then re-
leased, and both objects start moving to the right on the frictionless surface. When m¡ reaches the
equilibrium point, m2 loses contact with mį and moves to the right with speed v.
(a) Determine the value of v.
(b) How far apart are the objects when the spring is fully stretched for the first time.
Expert Solution
Step 1
(a)
When the second object pushed against first object, the work done is stored as potential energy in the spring.
The stored potential energy is converted in to kinetic energy when the released.
Apply principle of conservation of energy
Substitute
This is the speed of both the masses.
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
Knowledge Booster
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
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers with Modern …
Physics
ISBN:
9781337553292
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers with Modern …
Physics
ISBN:
9781337553292
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Modern Physics
Physics
ISBN:
9781111794378
Author:
Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:
Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
University Physics Volume 3
Physics
ISBN:
9781938168185
Author:
William Moebs, Jeff Sanny
Publisher:
OpenStax