1. Work of 2 Joules is done in stretching a spring from its natural length to 17

Question

1. Work of 2 Joules is done in stretching a spring from its natural length to 17 cm beyond its natural length. What is the force (in Newtons) that holds the spring stretched at the same distance (17 cm)?

2.A trough is 3 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of y=x^(8) from x=-1 to x=1 . The trough is full of water. Find the amount of work in foot-pounds required to empty the trough by pumping the water over the top. Note: In this problem, use 62 pounds per cubic foot as the weight of water.

3.A trough is 10 meters long, 3 meters wide, and 1 meters deep. The vertical cross-section of the trough parallel to an end is shaped like an isoceles triangle (with height 1 meters, and base, on top, of length 3 meters). The trough is full of water (density 1000 "kg"/"m"^3 ). Find the amount of work in joules required to empty the trough by pumping the water over the top. (Note: Use g=9.8 m/s^2 as the acceleration due to gravity.)

4.A circular swimming pool has a diameter of 12 m, the sides are 4 m high, and the depth of the water is 3 m. How much work (in Joules) is required to pump all of the water over the side? (The acceleration due to gravity is 9.8 m/s^2 and the density of water is 1000 "kg"/"m"^3.)

Explanation / Answer

1-

The work is given by

W = 1/2 K x

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