Definition.
Let F be a function which is continuous
on the closed interval [a, b] which represents force. The work in moving a particle from x = a to x = b along a straight line is the integral
Problem. Suppose that a spring has a natural length of 2 feet and
that a force of 20 pounds is needed to compress the spring to a length of 18
inches. Find the amount work that is necessary to stretch the spring from
a length of 2.5 foot to a length of 3 feet.
Solution [Using Flash]
[Using Java]
Problem. Suppose that a cylindrical tank has
height 10, the radius of the base is 7, and it is half filled with water.
Find the amount of work necessary to move all of the water out of the top
of the tank.
Solution [Using Flash]
[Using Java]
Problem. Repeat the previous problem assuming that
the tank is conical in shape with the cone point on the bottom.
Solution [Using Flash]
[Using Java]
Problem. Find the amount of work to move a tank
up to the top of a building which is 250 feet high. The tank is 5 foot high and weighs 200 pounds. A cable is attached to the top of the tank and a winch on the top of the building; it weighs 3 pounds per foot.
Solution [Using Flash]
[Using Java]