A sled starts from rest at the top of a snow-covered incline that makes an angle of φ = 16.1 degrees with horizontal. After sliding a distance d = 52 m down the slope, the speed of the sled is s = 14.1 m/s. Write an expression for the coefficient of kinetic friction in terms of the symbols introduced in the problem statement and g (the acceleration due to gravity).

Consider an ordinary, helium-filled party balloon with a volume of 2.2 ft3. the lifting force on the balloon due to the outside air is the net resultant of the pressure distribution exerted on the exterior surface of the balloon. using this fact, we can derive archimedes’ principle, namely that the upward force on the balloon is equal to the weight of the air displaced by the balloon. assuming that the balloon is at sea level, where the air density is 0.002377 slug/ft3, calculate the maximum weight that can be lifted by the balloon. note: the molecular weight of air is 28.8 and that of helium is 4.