In this problem we are going to consider two different examples of the dot product between two vectors, a force F and a displacement Δr.  If the force vector has a magnitude of F = 14.5 N, the displacement has a length of Δr = 0.75 m, and the angle between the vectors is 45°, what will the dot product between the vector F and the vector Δr be? You can answer in joules (which is the same as newton-meters).   If the force vector has components Fx = 7.5 N and Fy = 13.8 N, and the displacement vector has components Δrx = 0.25 m and Δry = 0.63 m, what is the dot product between them? Again, enter your answer in joules.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter14: Static Equilibrium, Elasticity, And Fracture
Section: Chapter Questions
Problem 8PQ
icon
Related questions
Question
100%

In this problem we are going to consider two different examples of the dot product between two vectors, a force F and a displacement Δr.

 If the force vector has a magnitude of F = 14.5 N, the displacement has a length of Δr = 0.75 m, and the angle between the vectors is 45°, what will the dot product between the vector F and the vector Δr be? You can answer in joules (which is the same as newton-meters). 

 If the force vector has components Fx = 7.5 N and Fy = 13.8 N, and the displacement vector has components Δrx = 0.25 m and Δry = 0.63 m, what is the dot product between them? Again, enter your answer in joules. 

 

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
Mechanical Equilibrium
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
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
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
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers with Modern …
Physics for Scientists and Engineers with Modern …
Physics
ISBN:
9781337553292
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University