Problem 1. (1 point) Problem 4. (1 point) When a particle is located a distance x meters from the origin, a force of cos(Itx/3) newtons acts on it. A heavy rope, 50 ft long, weighs 0.5 1b/ft and hangs over the edge of a building 120 ft high. Find the work done in moving the particle from x = 1 to x = 1.5 (a) How much work is done (in ft-lb) in pulling the rope to the top Find the work done in moving the particle from x = 1.5 to x = 2. of the building? Find the work done in moving the particle from x = 1 to x = 2. Work done = ft-1b Answer(s) submitted: (b) How much work is done (in ft-lb) in pulling half the rope to the top of the building? Work done = ft-1b (incorrect) Answer(s) submitted: (incorrect) Problem 2. (1 point) Problem 5. (1 point) A force of 2 pounds is required to hold a spring stretched 0.4 feet beyond its natural length. How much work (in foot-pounds) is An aquarium 2 m long, 1 m wide, and 1 m deep is full of water. done in stretching the spring from its natural length to 0.7 feet Find the work (in J) needed to pump half of the water out of the beyond its natural length? aquarium. Use the fact that the density of water is 1000kg/m. Answer(s) submitted: Work done = (incorrect) Answer(s) submitted: (incorrect) Problem 3. (1 point) Problem 6. (1 point) A circular swimming pool has a diameter of 20 m. The circular Suppose that 2 J of work are needed to stretch a spring from its side of the pool is 3 m high, and the depth of the water is 2.5 m. natural length of 30 cm to a length of 42 cm. How much work (in (The acceleration due to gravity is 9.8 m/s and the density of wa- J) is needed to stretch it from 35 cm to 40 cm? ter is 1000 kg/m'.) How much work (in Joules) is required to: Work done = (a) pump all of the water over the side? Answer(s) submitted: (b) pump all of the water out of an outlet 2 m over the side? Answer(s) submitted: incorrect) (incorrect)