Homework Help is Here – Start Your Trial Now!
Science
Physics
01: If a car is traveling at (80 km/h), determine its speed in miles per hour and foots per second.

01: If a car is traveling at (80 km/h), determine its speed in miles per hour and foots per second.

Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
Section: Chapter Questions
Problem 7OQ: One student uses a meterstick to measure the thickness of a textbook and obtains 4.3 cm 0.1 cm....
See similar textbooks
icon
Related questions
Question
215.4 K/s 20 ۱۲:۵۲ ص Quiz 1 Job.pdf > 01: If a car is traveling at (80 km/h), determine its speed in miles per hour and foots per second. 80 km/h = {(80) (1000) / (0.3048)} / (5280) = 49.71 mi/h 49.71 mi/h = (49.71) (5280) / (3600) = 72.91 ft/s O 2: Determine the magnitude of the force (F) so that the resultant (FR) of the three forces is as 30 400 N small as possible. What is the minimum magnitude of (FR)? 500 N FR ΣF FRx = E Fx = F1x + F2x + F3x = 500 – F sin 30°– 400 sin 30° = (300 – 0.5F) N FRy = E Fy = Fıy + F2y + F3y = 400 cos 30°- F cos 30° +0= (346.4 – 0.866 F) N FR? = ( FRx)? + ( FRy )? = ( 300 – 0.5F )? + ( 346.4 – 0.866 F )? To find the minimum, we need to take the derivative of the magnitude and set it equal to zero. Take the derivative with respect to (F) so : dFR = 2 (300 – 0.5F) (- 0.5) + 2 (346.4 – 0.866 F) (- 0.866) = 0 2FR 2 (- 150 + 0.25 F + 0.75 F – 300) = 0 F= 450 N The magnitude of the resultant force is: |FR| = ( 300 – 0.5(450) ) ² + (346.4 – 0.866 (450) )² = (75 ) 2 + (-43.3 )² = 86.6 N
Transcribed Image Text:215.4 K/s 20 ۱۲:۵۲ ص Quiz 1 Job.pdf > 01: If a car is traveling at (80 km/h), determine its speed in miles per hour and foots per second. 80 km/h = {(80) (1000) / (0.3048)} / (5280) = 49.71 mi/h 49.71 mi/h = (49.71) (5280) / (3600) = 72.91 ft/s O 2: Determine the magnitude of the force (F) so that the resultant (FR) of the three forces is as 30 400 N small as possible. What is the minimum magnitude of (FR)? 500 N FR ΣF FRx = E Fx = F1x + F2x + F3x = 500 – F sin 30°– 400 sin 30° = (300 – 0.5F) N FRy = E Fy = Fıy + F2y + F3y = 400 cos 30°- F cos 30° +0= (346.4 – 0.866 F) N FR? = ( FRx)? + ( FRy )? = ( 300 – 0.5F )? + ( 346.4 – 0.866 F )? To find the minimum, we need to take the derivative of the magnitude and set it equal to zero. Take the derivative with respect to (F) so : dFR = 2 (300 – 0.5F) (- 0.5) + 2 (346.4 – 0.866 F) (- 0.866) = 0 2FR 2 (- 150 + 0.25 F + 0.75 F – 300) = 0 F= 450 N The magnitude of the resultant force is: |FR| = ( 300 – 0.5(450) ) ² + (346.4 – 0.866 (450) )² = (75 ) 2 + (-43.3 )² = 86.6 N
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Dimensional analysis
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
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
An Introduction to Physical Science
An Introduction to Physical Science
Physics
ISBN:
9781305079137
Author:
James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres
Publisher:
Cengage Learning
Astronomy
Astronomy
Physics
ISBN:
9781938168284
Author:
Andrew Fraknoi; David Morrison; Sidney C. Wolff
Publisher:
OpenStax
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University
Physics for Scientists and Engineers, Technology …
Physics for Scientists and Engineers, Technology …
Physics
ISBN:
9781305116399
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS