Solved Problem: You've just been involved in an accident in which the damage is significant but none is hurt. While driving east through an intersection you are broadsided by a large sport utility vehicle travelling north. What speed and direction do the two vehicles move off with just after the collision. Assume that the collision is perfectly inelastic. Question: Determine the velocity of the two just after the collision. Known: m, = 1000 kg, m₂ = 2000 kg, v = 10 m/s and v₁ = 20 m/s. Principle: Conservation of Momentum in 2D Approach: Determine initial and final momenta and solve for velocity psystem initial = Paystem final I: Printal = m1v₁, = (m₁ + m₂) v₁, cost=Pzfinal y: Pyinitial = M2V2, = (m₁ + m₂) v2, sine = Pyfinal Let v₁, v2, = V, Taking the ratio of the two: initial: before collision +y VI; final: after collision +y 0 +
Solved Problem: You've just been involved in an accident in which the damage is significant but none is hurt. While driving east through an intersection you are broadsided by a large sport utility vehicle travelling north. What speed and direction do the two vehicles move off with just after the collision. Assume that the collision is perfectly inelastic. Question: Determine the velocity of the two just after the collision. Known: m, = 1000 kg, m₂ = 2000 kg, v = 10 m/s and v₁ = 20 m/s. Principle: Conservation of Momentum in 2D Approach: Determine initial and final momenta and solve for velocity psystem initial = Paystem final I: Printal = m1v₁, = (m₁ + m₂) v₁, cost=Pzfinal y: Pyinitial = M2V2, = (m₁ + m₂) v2, sine = Pyfinal Let v₁, v2, = V, Taking the ratio of the two: initial: before collision +y VI; final: after collision +y 0 +
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)...
Related questions
Topic Video
Question

Transcribed Image Text:Solved Problem: You've just been involved in an accident in which the damage is significant but none is hurt. While driving east through an
intersection you are broadsided by a large sport utility vehicle travelling north. What speed and direction do the two vehicles move off with just
after the collision. Assume that the collision is perfectly inelastic.
Question: Determine the velocity of the two just after the collision. Known: m, = 1000
kg, m, = 2000 kg. V = 10 m/s and V = 20 m/s. Principle: Conservation of Momentum in
2D Approach: Determine initial and final momenta and solve for velocity
?
I: Printtal =
1v₁, = (m₁ + m₂)v₁,cost = Pzfinal
y: Pyinitial = M2V2, = (m₁ + m₂) v2, sine = Pyfinal
Let v₁, V2, V, Taking the ratio of the two:
(m₁ + m₂)V sino
(m₁ + m₂)V cose
M202₁
psystem
initial
Then tane =
M₂021
mici,
Pystem
final
2000 kg x 20m
1000 kg x 10"
mivi, = (m₁ + m₂)V cost-V
sino
cose
=tand
40=tan(4) = 75.96°
1000 kg x 10 m/s
(1000+2000) kg x cos(75.96)
2000) kg x
Show that the two vehicles skid a distance of 11.7 m on the pavement before coming to a rest.
mi
(m₁ + m₂) cost
initial: before collision
+y
V1;
= 13.74 m/s
+X
?
final: after collision
+
Calculate the acceleration of your
car (vehicle 1) for a collision time
of 1 sec. Express it as a fraction
of g. Explain how airbags can
save your life in a collision.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images

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

College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning

University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON

Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press

College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning

University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON

Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press

Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning

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…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON