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
![**Question 4:**
How much force was required to bring granny’s 1200-kg car to rest from 90 mph (40 m/s) in 2 seconds?
**Explanation:**
This question asks you to calculate the force needed to bring a car weighing 1200 kg to a stop from a speed of 40 meters per second over a duration of 2 seconds. We utilize the formula derived from Newton's Second Law:
\[ \text{Force (F)} = \frac{\Delta v}{\Delta t} \times m \]
Where:
- \( \Delta v \) is the change in velocity.
- \( \Delta t \) is the change in time.
- \( m \) is the mass of the car.
The car's velocity changes from 40 m/s to 0 m/s, so \( \Delta v = 40 - 0 = 40 \) m/s. The given time \( \Delta t = 2 \) seconds, and the mass \( m = 1200 \) kg.
Plug these values into the formula:
\[ \text{Force (F)} = \frac{40 \, \text{m/s}}{2 \, \text{s}} \times 1200 \, \text{kg} \]
\[ \text{Force (F)} = 20 \, \text{m/s}^2 \times 1200 \, \text{kg} \]
\[ \text{Force (F)} = 24000 \, \text{N} \]
Thus, a force of 24,000 Newtons is needed.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4b08cbe3-b052-4a50-ae7b-da07c66e348c%2F12fec664-c002-4ef0-af37-8ffcded58af8%2Fmjhrmur_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 4:**
How much force was required to bring granny’s 1200-kg car to rest from 90 mph (40 m/s) in 2 seconds?
**Explanation:**
This question asks you to calculate the force needed to bring a car weighing 1200 kg to a stop from a speed of 40 meters per second over a duration of 2 seconds. We utilize the formula derived from Newton's Second Law:
\[ \text{Force (F)} = \frac{\Delta v}{\Delta t} \times m \]
Where:
- \( \Delta v \) is the change in velocity.
- \( \Delta t \) is the change in time.
- \( m \) is the mass of the car.
The car's velocity changes from 40 m/s to 0 m/s, so \( \Delta v = 40 - 0 = 40 \) m/s. The given time \( \Delta t = 2 \) seconds, and the mass \( m = 1200 \) kg.
Plug these values into the formula:
\[ \text{Force (F)} = \frac{40 \, \text{m/s}}{2 \, \text{s}} \times 1200 \, \text{kg} \]
\[ \text{Force (F)} = 20 \, \text{m/s}^2 \times 1200 \, \text{kg} \]
\[ \text{Force (F)} = 24000 \, \text{N} \]
Thus, a force of 24,000 Newtons is needed.
Expert Solution
Step 1
Given Data:
Mass of car
Velocity of car
Time
Step by step
Solved in 3 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
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