Asmall block with mass 0.0475 kg slides in a vertical circle of radius 0.425 m on the inside of a circular track. during one of the revolutions of the block, when the block is at the bottom of its path, point a, the magnitude of the normal force exerted on the block by the track has magnitude 3.95 n . in this same revolution, when the block reaches the top of its path, point b, the magnitude of the normal force exerted on the block has magnitude 0.670 n. how much work was done on the block by friction during the motion of the block from point a to point b?

Arod of some material 0.20 m long elongates 0.20 mm on heating from 21 to 120°c. determine the value of the linear coefficient of thermal expansion [in (degrees c)^-1] for this material.

An object weighs 40n in air, weighs 20n when submerged in water and 30n when submerged in a liquid of unknown density. what is the density of the liquid?

Suppose water is leaking from a tank through a circular hole of area ah at its bottom. when water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of water leaving the tank per second to cah 2gh , where c (0 < c < 1) is an empirical constant. a tank in the form of a right-circular cone standing on end, vertex down, is leaking water through a circular hole in its bottom. (assume the removed apex of the cone is of negligible height and volume.) (a) suppose the tank is 20 feet high and has radius 8 feet and the circular hole has radius 2 inches. the differential equation governing the height h in feet of water leaking from a tank after t seconds is dh dt = − 5 6h3/2 . if the height of the water is initially 8 feet, how long will it take the tank to empty? (round your answer to two decimal places.)