Calculate the work in megajoules (1 mj=1×106 j) required to pump all the water out of a full trough from which water exits by pouring over the sides. an illustration shows an inverted trapezoidal trough with base widths of a on bottom and b on top, a height h, and length c. assume that =11 m, =16 m, c=13 m, and ℎ=2 m. the density of water is 1000 kg/m3, and =9.8 m/s2. (use decimal notation. give your answer to two decimal places.)

An astronaut in space cannot use a scale or balance to weigh objects because there is no gravity. but she does have devices to measure distance and time accurately. she knows her own mass is 77.4 kg , but she is unsure of the mass of a large gas canister in the airless rocket. when this canister is approaching her at 3.50 m/s , she pushes against it, which slows it down to 1.30 m/s (but does not reverse it) and gives her a speed of 2.60 m/s . what is the mass of the canister?