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Work done by a varying force.

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An object is under the force F = (k1*x) i - (k2*y) j. Calculate the work done by this force when the object:

a) moves on the x-axis from the origin to the point (a,0), and then goes from (a,0) until (a,b) parallel to the y-axis;

b) moves from the origin to the point (0,b), and then goes from (0,b) until (a,b) parallel to the x-axis.

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Work done by a varying force
An object is under the force F = (k1*x) i - (k2*y) j. Calculate the work done by this force when the object:

a) moves on the x-axis from the origin to the point (a,0), and then goes from (a,0) until (a,b) parallel to the y-axis;

b) moves from the origin to the point (0,b), and then goes from (0,b) until (a,b) parallel to the x-axis.

Solution:
y
b (a,b)

0 a x

a) We will calculate work done in two steps; (0,0) to (a,0) and from (a,0) to (a,b) [shown in red ...

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