Attempt 4 A 0.250 kg toy car moving with a speed of 0.820 m/s collides with a wall. The figure shows the force exerted on the car by the wall over the course of the collision. What is the magnitude of the velocity, or final speed, of the car after the collision?

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
Topic Video
Question
**Collision of a Toy Car with a Wall: Analysis of Force and Velocity**

**Scenario Description:**
A 0.250 kg toy car is moving at a speed of 0.820 m/s when it collides with a wall. The figure provided shows the force exerted on the car by the wall over the duration of the collision. The task is to determine the magnitude of the velocity, or final speed, of the car after the collision.

**Graph Analysis:**
The graph depicts the force exerted (in Newtons) on the y-axis, ranging from 0 to 40 N, and the time duration of the collision (in seconds) on the x-axis, ranging from 0 to 0.02 seconds.

- The force starts at 0 N and sharply increases to 40 N at around 0.01 seconds.
- After reaching the peak force of 40 N, it declines back to 0 N by 0.02 seconds.
  
This indicates a rapid increase and decrease in force over a short time interval, characteristic of a short-duration impact.

**Final Speed Calculation:**
The provided final speed (or magnitude of velocity) after the collision is entered as 0.684 m/s, which was marked as incorrect.

To approach solving this:
1. Calculate the impulse exerted on the car using the area under the force-time graph.
2. Use the impulse-momentum theorem \( \Delta p = J \) where \( \Delta p \) is the change in momentum and \( J \) is the impulse.
3. Determine the final velocity using the change in momentum and the mass of the car.

**Important Note:**
Students are encouraged to correctly interpret the force-time graph to compute the impulse and use it to find the correct final velocity of the toy car after the collision. The initial velocity is given, so applying the principles of physics will give the accurate final speed.
Transcribed Image Text:**Collision of a Toy Car with a Wall: Analysis of Force and Velocity** **Scenario Description:** A 0.250 kg toy car is moving at a speed of 0.820 m/s when it collides with a wall. The figure provided shows the force exerted on the car by the wall over the duration of the collision. The task is to determine the magnitude of the velocity, or final speed, of the car after the collision. **Graph Analysis:** The graph depicts the force exerted (in Newtons) on the y-axis, ranging from 0 to 40 N, and the time duration of the collision (in seconds) on the x-axis, ranging from 0 to 0.02 seconds. - The force starts at 0 N and sharply increases to 40 N at around 0.01 seconds. - After reaching the peak force of 40 N, it declines back to 0 N by 0.02 seconds. This indicates a rapid increase and decrease in force over a short time interval, characteristic of a short-duration impact. **Final Speed Calculation:** The provided final speed (or magnitude of velocity) after the collision is entered as 0.684 m/s, which was marked as incorrect. To approach solving this: 1. Calculate the impulse exerted on the car using the area under the force-time graph. 2. Use the impulse-momentum theorem \( \Delta p = J \) where \( \Delta p \) is the change in momentum and \( J \) is the impulse. 3. Determine the final velocity using the change in momentum and the mass of the car. **Important Note:** Students are encouraged to correctly interpret the force-time graph to compute the impulse and use it to find the correct final velocity of the toy car after the collision. The initial velocity is given, so applying the principles of physics will give the accurate final speed.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Momentum
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
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