A force of 6 newtons makes an angle of 7/4 radians with the y axis, pointing to the right. The force acts against the movement of an object along the straight line connecting (1,2) to (5,4). (a) Find a formula for the force vector F. (b) Find the angle 0 between the displacement direction D= (5 – 1)i + (4 – 2)j and the | | force direction F. (c) The work done is F D, or equivalently, ||F|| ||D||cOs 0. Compute the work from both formulas and compare. uniforr

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A force of 6 newtons makes an angle of 7/4
radians with the y axis, pointing to the right. The
force acts against the movement of an object
along the straight line connecting (1,2) to (5,4).
(a) Find a formula for the force vector F.
(b) Find the angle 0 between the displacement
direction D= (5- 1)i + (4 – 2)j and the
|
|
force direction F.
(c) The work done is F D, or equivalently,
||F|| ||D||cOs 0. Compute the work from both
formulas and compare.
uniforr
Transcribed Image Text:A force of 6 newtons makes an angle of 7/4 radians with the y axis, pointing to the right. The force acts against the movement of an object along the straight line connecting (1,2) to (5,4). (a) Find a formula for the force vector F. (b) Find the angle 0 between the displacement direction D= (5- 1)i + (4 – 2)j and the | | force direction F. (c) The work done is F D, or equivalently, ||F|| ||D||cOs 0. Compute the work from both formulas and compare. uniforr
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