There are two marbles (A and B). Marble B has a hole drilled through it. Marbles A and B are of equal mass, size, and texture and are racing down a smooth track at a constant angle. [Assume perfect rolling no slipping] When B rolls, the hole is parallel to the track the whole time. Which marble will win? Explain. Two marbles (A and B) of equal mass, size, and texture are racing down a sandy hill. Marble B has a hole drilled through it. When B rolls, the hole is parallel to the ground the whole time. Explain why Marble B has an advantage. (This problem was inspired by Red No. 3 in the Sand Marble Rallies of 2017 2019') I apply a 10 N force to a lever at a point 3 m away from the lever's fulcrum. There is not enough information to determine the magnitude of the torque I applied in most situations. a) What information is missing to nd the torque for most cases? b) In what case is it possible to determine the magnitude of the torque? A 987 kg car is going around a curve with a radius of curvature of 1 10 m. a) If the curve is not banked, what provides the centripetal force? b) If the curve is banked, what provides the centripetal force? (Assume frictionless curve.) c) If the curve is not banked, and the car is going at 30 m/s without sliding, what is the centripetal force acting on the car? d) If in the preceding problem 30 m/s is the maximum speed without slipping, what is the coeicient of static friction between the road and the tires? 10 kg of mass is formed into a ring with a radius of 5 m. It is spinning around its (normal) central axis at +20 rad/s. If the mass magically became a disk, what would its new angular speed be? ( Assume that the mass and radius stay the same, as well as it's a closed system.) The center of mass ofa 100 kg person is 4 m away from the center of mass of a 2 kg sandwich. What is the magnitude of the gravitational pull on the person from the sandwich? What would the radius of the moon need to be in order to become a blackhole'? [Assume the mass of the moon does not change] A launcher shoots a ball horizontally from a height of 1.5 m. The ball lands 8.2 m away from the base of the launcher. (8.2 m is the horizontal displacement.) [Ignore air resistance] a) How fast is the ball launched from launcher? b) If the ball is then fired straight up at the same speed, how high will it go? [Give me the height from the point at which the ball leaves the launcher] A planet with a mass of half of Earth's mass and twice Earth's radius would have an escape speed of what