- #1
rock4christ
- 34
- 0
Homework Statement
I need To find the work done by a force that varies with position like this:
F(x)=2x^3 -5x^2 +10
with x at values between 0 to 10 meters.
Homework Equations
see above, and maybe w=fd
The Attempt at a Solution
I found the area underneath the curve by putting the values from 0.001 to 10 into Excel, and putting in the equation for all values. it looks like this:
x (in meters) f(x) area of each increment
0.1 9.952 0.009952
0.2 9.816 0.009816
0.3 9.604 0.009604
0.4 9.328 0.009328
0.5 9 0.009
0.6 8.632 0.008632
0.7 8.236 0.008236
0.8 7.824 0.007824
0.9 7.408 0.007408
1 7 0.007
1.1 6.612 0.006612
1.2 6.256 0.006256
area of all increments(using 0.001, not 0.1)
3434.083375
^thats just a sample and is only using .1 increments.
would 3434.083375 actually be my final answer for the work performed, or would that be the force, and if so, what distance would I multiply it by?