175 Section 6.5 A Part II 1 of 2 https://www.webassign.net/web/Student/Assignment-Responses/last?dep... WebAssign 175 Section 6.5 A Part II (Homework) Current Score : - / 5 Abdulaziz Alfoudri Math 175 Fall 2015, section 006, Fall 2015 Instructor: Thomas Kinzel Due : Friday, September 18 2015 03:00 PM MDT 1. -/1 pointsRogaCalcET2 6.5.018.Tutorial. Calculate the work (in joules) required to pump all of the water out of a full tank. The distances (a = 8, b = 4, c = 4, and d = 1) are in meters, and the density of water is 1000 kg/m3. In the rectangular tank in the figure below, the water exits through the spout. (Assume that acceleration due to gravity is g = 9.8 m/s2. Round your answer to three decimal places.) 106 J Additional Materials Tutorial 2. -/1 pointsRogaCalcET2 6.5.019. Consider a tank in the form of a hemisphere of radius R where water exits from a spout of length L as shown below. If R = 9 m, and L = 2 m, calculate the work W (in joules) required to pump all of the water out of the tank. Assume that the tank is full, acceleration due to gravity is g = 9.8 m/s2, and the density of water is 1,000 kg/m3. (Round your answer to three decimal places.) W= 107 J 9/17/2015 1:17 PM 175 Section 6.5 A Part II 2 of 2 https://www.webassign.net/web/Student/Assignment-Responses/last?dep... 3. -/1 pointsRogaCalcET2 6.5.027. Calculate the work required to lift a 9-m chain over the side of a building. Assume that the chain has a density of 8 kg/m. Hint: Break up the chain into N segments, estimate the work performed on a segment, and compute the limit as N as an integral. The small segment of the chain of length y located y meters from the top is lifted through a vertical distance y. (Assume the chain hangs from its end off the edge the building. Assume that acceleration due to gravity is g = 9.8 m/s2.) J 4. -/1 pointsRogaCalcET2 6.5.029. A 3-m chain has mass 18 kg. Find the work required to lift the chain over the side of a tall building. (Assume the chain hangs from its end off the edge of the building. Assume that acceleration due to gravity is g = 9.8 m/s2. Round your answer to one decimal place.) J 5. -/1 pointsRogaCalcET2 6.5.031. How much work is done lifting a 12-m chain that is initially coiled on the ground and has a density 2 kg/m so that its top end is 8 m above the ground? (Assume that acceleration due to gravity is g = 9.8 m/s2.) J 9/17/2015 1:17 PM 175 Section 6.5 B Part II 1 of 2 https://www.webassign.net/web/Student/Assignment-Responses/last?dep... WebAssign 175 Section 6.5 B Part II (Homework) Current Score : - / 6 Abdulaziz Alfoudri Math 175 Fall 2015, section 006, Fall 2015 Instructor: Thomas Kinzel Due : Thursday, September 24 2015 11:59 PM MDT 1. -/1 pointsRogaCalcET2 6.5.018.Tutorial. Calculate the work (in joules) required to pump all of the water out of a full tank. The distances (a = 8, b = 4, c = 3, and d = 1) are in meters, and the density of water is 1000 kg/m3. In the rectangular tank in the figure below, the water exits through the spout. (Assume that acceleration due to gravity is g = 9.8 m/s2. Round your answer to three decimal places.) 106 J 2. -/1 pointsRogaCalcET2 6.5.026. Consider a tank in the form of an inverted cone of radius b and height a in which water exits through a spout of length c at the top, as shown below. If a = 7 m, b = 3 m, and c = 1 m, calculate the work W required to pump out water until the water level has reached 2 m (from the bottom). Assume that the tank is full, acceleration due to gravity is g = 9.8 m/s2, and the density of water is 1,000 kg/m3. (Round your answer to three decimal places.) 106 J W= 3. -/1 pointsRogaCalcET2 6.5.031. How much work is done lifting a 12-m chain that is initially coiled on the ground and has a density 3 kg/m so that its top end is 11 m above the ground? (Assume that acceleration due to gravity is g = 9.8 m/s2.) J 9/17/2015 1:18 PM 175 Section 6.5 B Part II 2 of 2 https://www.webassign.net/web/Student/Assignment-Responses/last?dep... 4. -/1 pointsRogaCalcET2 6.5.032. A 2,000 lb wrecking ball hangs from a 40 ft cable of density 5 lb/ft attached to a crane. Calculate the work W done if the crane lifts the ball from ground level to 40 ft in the air by drawing in the cable. (Recall that pounds are units of force rather than mass.) W= ft-lb 5. -/1 pointsRogaCalcET2 6.5.033. Calculate the work required to lift a 5-m chain over the side of a tall building if the chain has variable density of (x) = x2 3x + 10 kg/m for 0 x 5. (Assume the chain hangs from its end off the edge the building at x = 0 such that the other end falls to x = 5. Assume that acceleration due to gravity is g = 9.8 m/s2.) J 6. -/1 pointsRogaCalcET2 6.5.015. Built around 2600 BCE, the Great Pyramid of Giza in Egypt is 485 ft high (due to erosion, its current height is slightly less) and has a square base of side length 755.5 ft. Find the work W needed to build the pyramid if the density of the stone is estimated at 130 lb/ft3. (Round your answer to three decimal places.) W= 1012 ft-lb 9/17/2015 1:18 PM