The problem is that work is actually equal to the dot product of force with displacement. That is,
What do you get when you do that?
I have a question about work done by force:
If a 10N (newton) force acting in the direction of vector (1,1) moves an object from P =(-2,1) to Q=(5,6) calculate the work done. Distance measured in metres.
I did vector PQ
Q-P = (5,6) - (-2,1) = (7,5)
Absolute value PQ = sqrt7^2 + 5^2 = sqrt74
vector (1,1) is a 45 degree angle or 1/sqrt2
next, work = (force)(QP)(1/sqrt2)
10sqrt74(1/sqrt2)
Im getting 5sqrt148 but the correct answer is 60sqrt2