Each driver has mass 78 kg including the mass of the drivers the total mass of the vehicles are 800 kg for the car and 4,000 kg for the truck if the collision time is 0.11 seconds what force does the seat belt exert on each driver? (Enter the magnitude of the force.) Force on truck driver?      N Force on car driver?          N

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
Question

Most of us know intuitively that a head-on collision between a large dump truck and a subcompact car, you are better off being in the truck than in the car. Why is this? Many people imagine that the collision force exerted on the car is much greater than that exerted on the truck to substantiate this view they point out that the car is crushed where the truck is only dented. This idea of unequal forces of course is false; Newton's third law tells us that both objects are acted upon by forces of the same magnitude. The truck suffers less damage because it's made of stronger metal but what about the two drivers do they experience the same forces? To answer this question suppose each vehicle is initially moving at 8.2 m/s and that they undergo a perfectly inelastic head-on collision. Each driver has mass 78 kg including the mass of the drivers the total mass of the vehicles are 800 kg for the car and 4,000 kg for the truck if the collision time is 0.11 seconds what force does the seat belt exert on each driver? (Enter the magnitude of the force.)

Force on truck driver?      N

Force on car driver?          N

Expert Solution
Step 1

Consider that, both the car and truck are moving along the X-axis , but in opposite direction

According to the given data,

Initial velocity of the car (u1) = 8 m/s;

Initial velocity of the truck (u2) = - 8 m/s;

Mass of the car including driver is (m) =800 Kg;

Mass of the truck including driver is (M) = 4000 Kg;

Now, according to the law of conservation of linear momentum,

Physics homework question answer, step 1, image 1

Here v1  and v2  are the final velocities after collision

 

Step 2

But in a perfectly on elastic collision, both the car and truck stick together and moves with common velocity v

i.e., v1= v2=v

Equation (1) can be re write as

Physics homework question answer, step 2, image 1

Here, negative sign shows that both the cars are moving along the negative x- axis

Step 3

Now, the change in the speed of a car driver is

Physics homework question answer, step 3, image 1

And the change in the speed of a truck driver is

Physics homework question answer, step 3, image 2

steps

Step by step

Solved in 6 steps with 9 images

Blurred answer
Knowledge Booster
Collisions
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