Homework SourseA 10 pound bag of sand begins leaking at a constant rate of
A 10- pound bag of sand begins leaking at a constant rate of 0.5 lb/s as soon as it is picked up. How much work is done by a person who raises the bag from the floor to a height of 6 ft. if he raises it at a constant rate of 1 ft/s?
Solution
Work done = mass * g * height where g is acceleration due to gravity work done for first 1 feet height = (10-0.5)*g*1 work done for second 2 feet height = (10-1)*g*1 Similarly Total work done for 6 feet height in 6 steps = g*( 60 - 0.5 - 1 -1.5 - 2 - 2.5 -3 ) taking g value as 32 feet/s^2 total work done = 1584 lb feet^2/s^2
