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A space station is designed in the shape of a large, hollow doughnut that is uniformly rotating. The outer radius of the station is 1,488 m. With what period, in seconds, must the station rotate so that a person sitting on the outer wall experiences "artificial gravity," i.e. an acceleration of 9.8 m/s~? Please round your answer to one decimal place.A particle moves a distance of d, = 8 m when a force of F, = 25 acts on it at angle of 0 = 420. The same work is done when the particle move d2 = 18 m under a force of F2 = 44 acts on it at angle of 62. What should the angle 02 be in degrees? Please round your answer to two decimal places.A 9-kg box moves along the x axis under the influence of a variable force. The potential energy is given by U (x) =6 x +7 x* ; where x is in coordinate of the particle. The unit of potential energy is Joule (J) and the unit of x is meter (m). If the box has a speed of 16 m/s when it is at x, = 2.0 m, what is its speed when it is at X2 = 3.0 m? Please round your answer to one decimal place.A beginning 52-kg roller skater is standing in front of a wall. By pushing against the wall, she is propelled backward with a velocity of v = 1.? mfs. While pushing, her hands are in contact with the wall for a duration of time .11.! = 1.1 s. Ignoring frictional effects, what is the magnitude of the average force [impact force) acting on the skater? Please round 1your answer to one decimal place