A small ball is attached to the lower end of a 0.800-mm-long string, and the other end of the string is tied to a horizontal rod. The string makes a constant angle of 37.4 ∘∘ with the vertical as the ball moves at a constant speed in a horizontal circle. 1. If it takes the ball 1.60 ss to complete one revolution, what is the magnitude of the radial acceleration of the ball? Express your answer with the appropriate units. 2.

13. A skier/snowboarder starts at rest at the top of a snowy (friction-free) hill with height h₁. After the bottom of this hill there is a small "jump" hill. The top of the jump has height h, and a curvature of radius R. What is the minimum height of the starting hill, himin, so that the skier/snowboarder jumps or "catches air" at the top of hill 2? Solve for himin in terms of h₂, R, and g. Hint: if the skier/snowboarder jumps, he/she/they loose contact with the snowy ground. h₁ to jump!

Different situation now. You re out in space, on a rotating wheel-shaped space station of radius 743 m. You feel planted firmly on the floor , due to artificial gravity. The gravity you experience is Earth-normal, that is, g = 9.81 m/s^2. How fast is the space station rotating in order to produce this much artificial gravity? Express your answer in revolutions per minute (rpm).     0.115 rpm     85.4 rpm     0.549 rpm     1.097 rpm

You are on a boat in the middle of the Pacific Ocean at the equator traveling in a hydrofoil going at a constant speed of 300 ?/?. The water is perfectly still. What is your acceleration: a) If you're heading due North? b) If you're heading due East? c) If you're heading straight up (something probably went wrong at this point). Assume the following: The earth has a radius of 6371 km. The earth makes one full revolution every 24 hours. The gravitational constant at sea level is 9.81 m/s2. East and North are relative to the Earth's axial north, not magnetic north.