COLLEGE PHYSICS
COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
bartleby

Videos

Question
Book Icon
Chapter 7, Problem 58QAP
To determine

The velocities of the blocks of ice after the collision

Expert Solution & Answer
Check Mark

Answer to Problem 58QAP

The velocities of the ice blocks after the collision are 5 m/s and 9 m/s.

Explanation of Solution

Given info:

A 10 kg block of ice is sliding due east at 8 m/s when it collides elastically with a 6 kg block of ice that is sliding in the same direction at 4 m/s.

Formula used:

Using the formula, conservation of linear momentum

  m1u1+m2u2=m1v1+m2v2 (1)

Here, m1and m2 are the masses of first and second balls respectively and u1and u2 are the velocities of the both balls before collision and v1and v2 are the velocities after collision.

Also, for elastic collision

  e=v2v1u1u2 (2)

Here, e is coefficient of restitution is 1 for elastic collision.

Calculation:

We have, m1=10.00kg, m2=6.00kg and u1=8.00m/s and u2=4m/s

Substituting the given values in equ.(1), we get

  10kg×8m/s + 6kg × 4 m/s=10kg×v1+6kg×v210v1+6v2=104(3)

Now from equation(2)

  1=v2v184(e=1,forelasticcollision)v2v1=4(4)

From equations (3) and (4), we get

  10v1+6(v1+4)=10416v1=10424v1=8016=5m/s

Substituting in equation (4), we get

  (v25)=4v2=5+4=9m/s

Conclusion:

Thus, the velocities of the ice blocks after the collision are 5 m/s and 9 m/s.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
2. A battleship simultaneously fires two shells at enemy ships. If the shells follow the parabolic trajectories shown, which ship gets hit first? a. A b. both at the same time C. B d. need more information battleship B
A m₁ = 1.70-kg aluminum block and a m₂ = 8.00-kg copper block are connected by a light string over a frictionless pulley. The two blocks are allowed to move on a fixed steel block wedge (of angle 0 = 31.5°) as shown in the figure. (For aluminum on steel, μk k = 0.36.) Мк Aluminum m Copper = 0.47. For copper on steel, Steel m2 Ꮎ (a) the acceleration of the two blocks m/s² (b) the tension in the string N
While the 83.3 kg Dora Milaje is in equilibrium, the rope makes a 70.0˚ angle with the horizontal. Assuming the coefficient of friction between her shoes and the ship is 0.772 and her static friction is at its maximum value, what is the tension in the cable?

Chapter 7 Solutions

COLLEGE PHYSICS

Knowledge Booster
Background pattern image
Physics
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
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Text book image
College Physics
Physics
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:OpenStax College
Text book image
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Text book image
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Text book image
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Text book image
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Elastic and Inelastic Collisions; Author: Professor Dave Explains;https://www.youtube.com/watch?v=M2xnGcaaAi4;License: Standard YouTube License, CC-BY