A.5 [kg] cube of aluminum at 10.0 [°c] is dropped into water at 30 [°c]. the specific heat of the water is 4186 [j/(kg °c)], the specific heat of aluminum is 900 [j/(kg °c)]. after a few minutes the final temperature of the water (with the aluminum cube in it) (a) assuming no heat is lost and assuming that the effects of the container can be neglected, what is the mass of the water just before the aluminum cube was dropped in? was measured as 28.98 [°c]. 1p (b) what was the volume of the aluminum cube in [m2] and in [em'] if the density of aluminum is 2830 (ko/m212 lp

Ateam of astronauts is on a mission to land on and explore a large asteroid. in addition to collecting samples and performing experiments, one of their tasks is to demonstrate the concept of the escape speed by throwing rocks straight up at various initial speeds. with what minimum initial speed vesc will the rocks need to be thrown in order for them never to "fall" back to the asteroid? assume that the asteroid is approximately spherical, with an average density p 3.84 x108 g/m3 and volume v 2.17 x 1012 m3 recall that the universal gravitational constant is g 6.67 x 10-11 n m2/kg2

"an open tank has the shape of a right circular cone. the tank is 6 feet across the top and 5 feet high. how much work is done in emptying the tank by pumping the water over the top edge? note: the density of water is 62.4 lbs per cubic foot."

If y gets smaller as x gets bigger and y have an relationship?