- #1
ex81
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Homework Statement
F = 3x-y+2z in Newtons
the line that it follows is -x+y+2z
What is the work done
Homework Equations
W=f*d
The Attempt at a Solution
I am guessing
3x^2 -y^2+2z^2=w
ex81 said:I would assume that the x, y, and z are vectors.
As to the dot product, I have no clue. It would have been nice if it was ever covered...
ex81 said:So Work = -3x-y+4z
I had part of a class way back in Trig that vaguely talked about vector multiplication but since it was the day before the final it was considered a "bonus" lesson. Yeah, my physics professor, and the word teach don't exactly mix.
Or do the alpha characters just go away, and thus I would have zero as the answer
ex81 said:If, and I do stress the IF I am understanding your explanation of the dot product then it would follow like this:Force = 3x-y+2z (technically the way it was stated is "component 3 is in Newtons")
Line = -x +y+2z (also stated as "- is in meters")
Find the work, ergo W=F*d
I am assuming that when my professor put line, he meant straight, and that was the distance.
Therefore it should look something like
Force * line = work
(3*-1)+(-1+1)+(2*2)
(-3)+(-1)+(4)
which equals zero
ex81 said:P.S. all of the x, y, and z had the "carat" on top of them.
A force vector is a mathematical representation of a force, which includes both its magnitude (size or strength) and direction.
Force vector multiplication is related to work through the definition of work, which is equal to the product of the force applied to an object and the distance the object moves in the direction of the force.
The formula for calculating work using force vector multiplication is W = F * d * cos(theta), where W is the work done, F is the applied force, d is the distance the object moves, and theta is the angle between the force vector and the direction of motion.
The direction of the force vector affects the work done by determining the angle between the force and the direction of motion. If the force is applied in the same direction as the motion, all of the force vector is used to do work. If the force is applied at an angle to the direction of motion, only a component of the force vector is used to do work.
Some real-world examples of force vector multiplication and work include pushing a heavy box across the floor, lifting weights at the gym, and swinging a baseball bat. In each of these cases, a force is applied to an object, causing it to move and do work.