7. A 75 kg astronaut orbits the moon at a distance of 7.0 x 106 m from its center. (Mass of moon = 7.35 x 1022 kg) a. What is the force acting on the astronaut by the moon? b. How fast is the astronaut orbiting around the moon?
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- 2. A 50 kg person is sitting on a bathroom scale while riding on a Ferris Wheel. The Ferris Wheel has a radius of 8 m. The scale reads 600 N when the person is at the bottom of the motion. Find the person's speed. 3. A 0.2 kg ball, attached to a string, is moving in a vertical circle. The ball's speed is 7 m/s and the tension in the string is 8 N when the ball is at the top of its path. Find the radius of the motion.QUESTION 17 In a distant solar system, a planet of mass 5.0 x 1024 kg orbits a sun of mass 3.0 x 1030 kg at a constant distance of 2.0 x101 m. How many earth days does it take for the planet ot execute one complete orbit about the sun? a. 660 days b. 460 days с. 360 days d. 260 days е. 560 daysAn intergalactic spaceship arrives at a distant planet that rotates on its axis with a period of T = 31 hours. The mass of the planet is M = 2.1 • 1025 kg. The spaceship enters a circular orbit with an orbital period that is equal to the planet's period for the rotation about its axis, T. a. Enter an expression for the radius of the spaceship’s orbit. b. Calculate the orbital radius in meters.
- no handwritten choose correct option..q12) A roller coaster is going over a hill with a radius of 20 m. a. How fast does it have to go for the passengers to feel weightless at the top? b. Suppose the roller coaster was running on the Moon, where the acceleration of gravity is only 1.7 m/s^2. How fast would it need to travel for you to feel weightless there?
- Task 1: Gravitational Fields 1. A person with a mass of 60 kg is inside a rocket that is moving straight up, away from the earth's surface. The radius of the earth is 6.38 x 105 m and the mass of the earth is 5.98 x 1024 kg. a. Find the force of gravity acting on the person at an altitude of 300 000 m. b. Find the altitude that will cause the person's weight to drop to one-quarter of its value on the earth's surface. 2. Mass 1 is four times as large as mass 2. Both masses are at rest and are separated by 200 m. Where could you place a third mass, mass 3, if the net force on 3 must be zero?7. You are a passenger in a Jeep with doors that is traveling at a constant speed of 10.9m/s. The driver turns left in a circle of radius 8.9 m. Your mass is 71.8 kg. Calculate the horizontal force in newtons that makes you stay in your seat in the car so you don't fly out of the car.The mass of the Sun is 2 × 10³⁰0 kg, and the mass of Mercury is 3.3 × 10²³ kg. The distance from the center of mass of the Sun to the center of mass of Mercury is 4.8 x 10¹⁰ m. a. Calculate the magnitude of the gravitational force exerted by the Sun on Mercury. b. What is the magnitude of the gravitational force exerted by Mercury on the Sun?