A hydraulic system is used to lift a 2100 kg (20,600 N) vehicle in a auto repair shop which is sitting on a piston with a cross-sectional area of 0.56 cm2. What is the minimum force that must be applied to the attached piston of area 0.035 cm2 in order to lift the vehicle?

Aleaky 10-kg bucket is lifted from the ground to a height of 15 m at a constant speed with a rope that weighs 0.7 kg/m. initially the bucket contains 45 kg of water, but the water leaks at a constant rate and finishes draining just as the bucket reaches the 15-m level. find the work done. (use 9.8 m/s2 for g.) show how to approximate the required work by a riemann sum. (let x be the height in meters above the ground. enter xi* as xi.) lim n → ∞ n (9.8)(45−3 xi) i = 1 δx express the work as an integral. 0 dx evaluate the integral. (round your answer to the nearest integer.) j