PLEASE HELP!!

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(a) Find the magnitude of the gravitational force (in N) between a planet with mass 8.75 x 1024 kg and its moon, with mass 2.90 x 1022 kg, if the average distance between their centers is 2.10 x 10 m. X N (b) What is the moon's acceleration (in m/s2) toward the planet? (Enter the magnitude.) * m/s2 (c) What is the planet's acceleration (in m/s2) toward the moon? (Enter the magnitude.) x m/s2A roller-coaster vehicle has a mass of 600 kg when fully loaded with passengers (see figure). B /10 m 15 m A (a) If the vehicle has a speed of 27.0 m/s at point @, what is the force (in N) of the track on the vehicle at this point? 765 X Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. N (b) What is the maximum speed (in m/s) the vehicle can have at point in order for gravity to hold it on the track? 12 m/sA 64.0-kg ice skater is moving at 4.05 m/s when she grabs the loose end of a rope, the opposite end of which is tied to a pole. She then moves in a circle of radius 0.830 m around the pole. (a) Determine the magnitude of the force exerted by the horizontal rope on her arms. 1,264.77 kN (b) Compare this force with her weight. Frope = 2.01 \\J/ W A car initially traveling at 33.7 m/s undergoes a constant negative acceleration of magnitude 1.70 m/s2 after its brakes are applied. (a) How many revolutions does each tire make before the car comes to a stop, assuming the car does not skid and the tires have radii of 0.325 m? 241.2 x Your response differs from the correct answer by more than 10%. Double check your calculations. rev (b) What is the angular speed of the wheels when the car has traveled half the total distance? 72.61 y rad/s