A tank has the shape of an inverted circular cone with height 10 m and base radius 4 m. It is filled with water to a height 5 m. Set up an integral to find the work required to empty the tank by pumping all of the water through a pipe that rises to a height of 2 m above the top of the tank. (The density of water is 1000kg per m3.) (Set up only. Do not evaluate the integral!)

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The table below shows the acceleration of gravity on different bodies in the solar system. on which body would a 10 kg lamp has the most gravitational potential energy when lifted to a height of 2 m? a. earth b. mars c. neptune d. uranus

Arocket starts from rest and moves upward from the surface of the earth. for the first 10.0 s of its motion, the vertical acceleration of the rocket is given by ay = 12.80 m/s32t, where the +y-direction is upward. (a) what is the height of the rocket above the surface of the earth at t = 10.0 s? b) what is the speed of the rocket when it is 325 m above the surface of the earth?