What force is required to keep a 6x1024 kg mass moving in a circle of radius 1.5x1011m with a speed of 3.0x104 m/s?
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What force is required to keep a 6x1024 kg mass moving in a circle of radius 1.5x1011m with a speed of 3.0x104 m/s?
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- Everyone knows the earth is pulled toward the Sun by the gravitational force between the Sun (M = 2 x 10^30kg) and the earth (m = 6 x 10^24kg). What is the gravitational acceleration of the Sun due to the earth's pull (1.5 x 10^11 km apart)?A meteoroid is moving towards a planet. It has mass m = 0.18×109 kg and speed v1 = 3.8×107 m/s at distance R1 = 1.6×107 m from the center of the planet. The radius of the planet is R = 0.26×107 m. The mass of the planet is M = 10×1025 kg. There is no air around the planet. a)Enter an expression for the total energy E of the meteoroid at R, the surface of the planet, in terms of defined quantities and v, the meteoroid’s speed when it reaches the planet’s surface. b)Enter an expression for v, the meteoroid’s speed at the planet’s surface, in terms of G, M, v1, R1, and R. c)Calculate the value of v in meters per second.A planet has a mass of 6.90 × 1023 kg and a radius of 2.89 × 106 m. (a) What is the acceleration due to gravity on this planet? (b) How much would a 74.8-kg person weigh on this planet?
- A meteoroid is moving towards a planet. It has mass m = 0.54×109 kg and speed v1 = 4.7×107 m/s at distance R1 = 1.6×107 m from the center of the planet. The radius of the planet is R = 0.78×107 m. The mass of the planet is M = 5.6×1025kg. There is no air around the planet. a)Enter an expression for the total energy E of the meteoroid at R, the surface of the planet, in terms of defined quantities and v, the meteoroid’s speed when it reaches the planet’s surface. Select from the variables below to write your expression. Note that all variables may not be required.α, β, θ, d, g, G, h, m, M, P, R, R1, t, v, v1 b)Enter an expression for v, the meteoroid’s speed at the planet’s surface, in terms of G, M, v1, R1, and R. c)Calculate the value of v in meters per second.An exotic planet Vogsphere is known to have a mass that is 1/81 that of the Earth and a radius 0.25 that of the Earth. Astrophysicist Trillian built a rocket and decided to leave the planet and never to return. Given that the escape speed from the Earth is 11.2 km/s, with what speed must Trillian achieve his goal?Aliens declare war on Earth by dropping an asteroid on our planet. The asteroid starts at rest from a distance of 37 x 106 m from the center of Earth. Calculate the speed with which the asteroid hits Earth's surface, in km/s. Use that G = 6.7 x 10-11 N m2 / kg2, MEarth = 6 x 1024 kg, and REarth = 6 x 106 m. (Please answer to the fourth decimal place - i.e 14.3225)
- a) An object weights 4000 N on planet Alpha. Planet Alpha has 8 times the mass of planet Beta and 4 times the radius of planet Beta. What will the object weight on planet Beta? b) A 60 kg person is sitting on a bathroom scale while riding on a Ferris Wheel. The Ferris Wheel has a radius of 9 m and the person's speed is 3 m/s. Find the scale reading when the person is at the bottom of the motion.A 1000 kg satellite orbits the Earth at a distance of 4 times the Earth's radius measured from above the Earth's surface. The radius of the Earth is 6.38x 10°m and the mass of the Earth is 5.98x1024kg and the gravitational constant G= 6.67x10-11 Nm²/kg². What is the speed at which the satellite orbits the earth? 3540 m/s O 3780 m/s O 4110 m/s 3130 m/s 2920 m/s O 4370 m/s 3960 m/s O 3350 m/sA meteoroid is moving towards a planet. It has mass m = 0.18×109 kg and speed v1 = 3.8×107 m/s at distance R1 = 1.6×107 m from the center of the planet. The radius of the planet is R = 0.26×107 m. The mass of the planet is M = 10×1025 kg. There is no air around the planet. a)Enter an expression for the total energy E of the meteoroid at R, the surface of the planet, in terms of defined quantities and v, the meteoroid’s speed when it reaches the planet’s surface. b)Enter an expression for v, the meteoroid’s speed at the planet’s surface, in terms of G, M, v1, R1, and R. c)Calculate the value of v in meters per second.
- Part 2 (b) What initial speed is needed so that when the object is far from Saturn its final speed is 0 m/s? (This is called the "escape speed.") Vescape = i m/s1) What is the speed of the satellite in m/s?A spacecraft is on a journey between 2 planets. The masses of the Planet A and Planet B are 6.96x1024 kg and 2.08x1022 kg. The distance between the centers of the planets is 6.49x108 m. At what point, as measured from the center of Planet A, does the gravitational force exerted on the craft by Planet A equal 6 times the magnitude of Planet B on the craft? Use g=9.8