Question 1
A force of f pounds acting along the x-axis varies according to f(x) = x
2 + 3x - 2. Find the work it does on an object that moves from x = -2 to x = 2.
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Question 2
A conical reservoir (vertex down) having diameter 10 m and height 10 m is filled with a liquid of density 900 kg/m
3. How many kilogram metres of work must be done to pump the liquid out over the top of the tank?
◦ 167,500π kg ∙ m
◦ 187,500π kg ∙ m
◦ 204,000π kg ∙ m
◦ 1,837,000π kg ∙ m
◦ 175,000π kg ∙ m