Given a soil with soft clay properties, determine safe net bearing capacity of soil.

8. A weightlifter holds a 1000N barbell 1 meter above the ground. One end of a 2 meter long chain hangs from the center of the barbell. The chain has a total weight of 500 N. How much work is required to lift the barbell to a height of 2 m? What is the average force exerted by the weightlifter in the process? (average with respect to height of the barbell from the ground)

The Great Pyramid of King Khufu was built of limestone inEgypt over a 20-year time period from 2580 BC to 2560 BC.Its base is a square with side length 756 ft and its heightwhen built was 481 ft. (It was the tallest man-made structurein the world for more than 3800 years.) The densityof the limestone is about 150 lb /  cu . ft  .(a) Estimate the total work done in building the pyramid.(b) If each laborer worked 10 hours a day for 20 years, for340 days a year, and did 200 ft - lb / h of work in liftingthe limestone blocks into place, about how many laborerswere needed to construct the pyramid?

Please answer the Attached Calculus question correctly and show all your work completely without skipping any steps. Please handwrite your work and give the answer in its simplest form. Thank you.

We want to build a cylindrical tank with a volume of 216 m^3. The tank has no lid and the material used for the bottom costs twice as much as that used for the side wall. Determine the radius and height that minimizes construction costs.Info: U＝pir^2 hArea without cover = pir^2 + 2pirhC = Cost

A tank, shaped like a cone has height 4 meter and base radius 5 meter. It is placed so that the circular part is upward. It is full of water, and we have to pump it all out by a pipe that is always leveled at the surface of the water. Assume that a cubic meter of water weighs 10000N, i.e. the density of water is 10000- How much work does it require to pump all water out of the tank? Enter the exact value of your answer. N m³ W Joules

6) Trees that are cut down and stripped of their branches for timber are approximately cylindricalLA timber company specializes in a certain type of tree that has a typical diameter of 50 cm and a typical height of about 10 meters. The density of the wood is 380 kilograms per cublc meter, and the wood can be sold by mass at a rate of $4.75 per kilogram Determine and state the minimum number of whole trees that must be sold to raise at least $50,000. (Density mass/volume) %3D DELL

We want to build a cylindrical tank with a volume of 216 m^3. The tank has no lid and the material used for the bottom costs twice as much as that used for the side wall. Determine the radius and height that minimizes construction costs.Info: U＝pir^2 hArea without cover = pir^2 + 2pirhC = Cost

17 Calculate the amount of work required to lift a bucket of cement with mass of 50 kg from the ground to the top of a building of 30 meters high using a chain with density of 2 kg/m. OC 14