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mintsnapple
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Homework Statement
Homework Equations
W = F*d
The Attempt at a Solution
a. W = Ce^(ax)*2a^-1
b. W = Ce^(ax)*2a^-1
c. w = Ce^(ax)*(-4a^-1)
I feel like this problem is more than just this simple...
Those results don't look right.mintsnapple said:Homework Statement
Homework Equations
W = F*d
The Attempt at a Solution
a. W = Ce^(ax)*2a^-1
b. W = Ce^(ax)*2a^-1
c. w = Ce^(ax)*(-4a^-1)
I feel like this problem is more than just this simple...
... in particular, there should not be any x in the answers.SammyS said:Those results don't look right.
dW = F dx .mintsnapple said:Ah, I just re-read the question and saw my mistake.
How would I approach this problem with a changing force though? Do I just plug in the end position, and multiply that force by displacement?
SammyS said:dW = F dx .
You need to integrate to integrate the force with respect to x .
mintsnapple said:Ahh, I see. So integrate the force with respect to x, and use the positions as my limits.
The formula for calculating work from force equation is W = F * d, where W represents work, F represents force, and d represents displacement.
Force is typically measured in Newtons (N) and displacement is measured in meters (m) in the work equation. However, other units such as joules (J) and centimeters (cm) can also be used depending on the system of measurement being used.
Yes, the work equation can be used for both constant and non-constant forces. However, in the case of non-constant forces, the work done is equal to the area under the force-displacement curve.
The direction of work is determined by the direction of the applied force and the direction of the displacement. If the force and displacement are in the same direction, then the work is considered positive. If they are in opposite directions, then the work is considered negative.
The work equation has many real-life applications, including calculating the energy needed to push an object, determining the power output of a machine, and measuring the work done by a person when performing physical tasks. It is also used in fields such as engineering, physics, and mechanics.