Consider a small car of mass 1080 kg and a large sport utility vehicle (SUV) of mass 3960 kg. The SUV is traveling at the speed limit (v = 33 m/s). The driver of the small car travels so as to have the same kinetic energy as the SUV. Find the speed of the small car.

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
**Problem Statement**: Consider a small car with a mass of 1080 kg and a large sport utility vehicle (SUV) with a mass of 3960 kg. The SUV is traveling at the speed limit (v = 33 m/s). The driver of the small car travels so as to have the same kinetic energy as the SUV. Find the speed of the small car.

- **Mass of small car**: 1080 kg
- **Mass of SUV**: 3960 kg
- **Speed of SUV**: 33 m/s
- **Speed of small car**: _____ m/s

**Explanation**:
To solve this problem, we need to use the formula for kinetic energy:

\[ K = \frac{1}{2} m v^2 \]

Since the kinetic energy of both vehicles is the same, set their kinetic energies equal to each other and solve for the speed of the small car.
Transcribed Image Text:**Problem Statement**: Consider a small car with a mass of 1080 kg and a large sport utility vehicle (SUV) with a mass of 3960 kg. The SUV is traveling at the speed limit (v = 33 m/s). The driver of the small car travels so as to have the same kinetic energy as the SUV. Find the speed of the small car. - **Mass of small car**: 1080 kg - **Mass of SUV**: 3960 kg - **Speed of SUV**: 33 m/s - **Speed of small car**: _____ m/s **Explanation**: To solve this problem, we need to use the formula for kinetic energy: \[ K = \frac{1}{2} m v^2 \] Since the kinetic energy of both vehicles is the same, set their kinetic energies equal to each other and solve for the speed of the small car.
Expert Solution
steps

Step by step

Solved in 4 steps with 17 images

Blurred answer
Knowledge Booster
Helmholtz Free energy
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