Which one of the following does not accurately describe the universal gravitational law? a. the object with the smaller mass does most of the moving because the object with the larger mass has too much inertia to move any noticeable amount. b. gravitational force is proportional to the product of the two masses. c. gravitational force is proportional to the square of the distance between the centers of both bodies. d. every object in the universe that has mass attracts every other object in the universe that has mass

What is the length x of the side of the triangle below? (hint: use the cosine function)

Agas is contained in a vertical, frictionless piston–cylinder device. the piston has a mass of 3.2 kg and a cross-sectional area of 35 cm2. a compressed spring above the piston exerts a force of 190 n on the piston. if the atmospheric pressure is 95 kpa, determine the pressure inside the cylinder.

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.