The water stream strikes the inclined surface of the cart. determine the power produced by the stream if, due to rolling friction, the cart moves to the right with a constant velocity of 2 m/s. the discharge from the 50-mm-diameter nozzle is 0.04 m3/s. one-fourth of the discharge flows down the incline, and three-fourths flows up the incline. assume steady flow, all within the vertical plane.

Match each vocabulary term to its definition. 1. electrons neutral subatomic particles found in the nucleus of the atom 2. neutron lowest energy position of an electron in an atom 3. photon the path of an electron around the nucleus of an atom 4. ground state negatively charged, subatomic particles 5. protons packet of energy of specific size 6. element substance with only one type of atom 7. orbital positively charged, subatomic particles found in the nucleus of the atom

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

Each line (unit) on the horizontal axis represents: 5 years 10 years 20 years all of the above