Using Newton's law of universal gravitation write down an expression for the velocity as a function of timer for an object, initially at rest, falling from the height on Earth.
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Using Newton's law of universal gravitation write down an expression for the velocity as a function of timer for an object, initially at rest, falling from the height on Earth.
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- Two planets in circular orbits around a star have speed of v and 2v . (a) What is the ratio of the orbital radii of the planets? (b) What is the ratio of their periods?The CERN particle accelerator is circular with a circumference of 7.0 km. (a) What is the acceleration of the protons (m=1.671027kg)that move around the accelerator at 5of the speed of light? (The speed of light is v=3.00108m/s .) (b) What is the force on the protons?A rocket moving around the earth at height "H", If the gravitational acceleration "gl" at height “H" is ½ of gravitational acceleration 'g' at earth surface. If Earth radius is"R", find "H" using R.
- Assume that we have a distant Star-Planet system with no other planets and the Star is the same as the Sun and the planet is the same as the Earth. This is called an "Earth analog system or "Earth twin". The masses and the orbits are the same except you can assume a perfectly circular orbit. A) Calculate the equation for the orbital velocity of a planet on a circular orbit. To do this use the equation for average speed: distance=rate x time. In a circular orbit, the speed is always the same, so you can use a time that is one full orbital period (1 year). What is the distance that a planet on a circular orbit travels in this time? Calculate the speed of the Earth twin in meters/second. Mass of the sun: 2 x 1030 kg. Mass of the Earth: 5.97 x 1024kg (Note: I think I understand how to use the distance= rate x time, but I'm not sure what to input for rate in this situation. I am also not sure how to calculate the speed of the Earth twin. Someone also answered this question but they did…Assume that we have a distant Star-Planet system with no other planets and the Star is the same as the Sun and the planet is the same as the Earth. This is called an "Earth analog system or "Earth twin". The masses and the orbits are the same except you can assume a perfectly circular orbit. A) Calculate the equation for the orbital velocity of a planet on a circular orbit. To do this use the equation for average speed: distance=rate x time. In a circular orbit, the speed is always the same, so you can use a time that is one full orbital period (1 year). What is the distance that a planet on a circular orbit travels in this time? Calculate the speed of the Earth twin in meters/second. Mass of the sun: 2 x 1030 kg. Mass of the Earth: 5.97 x 1024kg (Note: I think I understand how to use the distance= rate x time, but I'm not sure what to input for rate in this situation. I am also not sure how to calculate the speed of the Earth twin)Мon Gravity: on off O Gravity Force Velocity > Path U Grid Star Mass 0.5 Our Sun 1.5 2.0 Planet Mass 0.5 Earth 1.5 2.0 Fast 392 Earth Days Normal Clear Slow
- What would an observer inside an elevator measure for the free‑fall acceleration ay near the surface of Earth if the elevator accelerates downward at 7.00 m/s2? Define the positive direction of motion as upward, away from Earth's surface.magnitude gravitational force (between a planet with mass 9.00 * 10 ^ 24 and moon, with 2.40 * 10 ^ 22 average distance between their canters 2.10 * 10 ^ 8* m b) ? is the moon's acceleration in m/s^ 2 ) toward the planet(Enter the magnitude. ) m/s^ 2 the planets acceleration (in m/s^ 2 ) the moon?A 2400-kg satellite is ina arcuar motion around a A planet.The satellite travels witha constant speed ofa Lele70 m/s. Radio us or tne circlar orbit is 8.92 x 10*M, w Determine Hthe magnitude of the gravitational force exerted on the satellite by the planet.
- How far above the Earths surface will the acceleration of gravity be half what it is at surface . Express your answer using three significant figures and include the appropriate units.Determine the simplified ratio of the velocities of a low Earth orbit satellite travelling 300 km above the Earth's surfact and a geostationary satellite travelling 35700 km above the Earth's surface.What is the gravitational acceleration close to the surface of a planet with a mass of 4M- and radius of 4RE, where M- and RE are the mass and radius of Earth, respectively? Answer as a multiple of g, the magnitude of the gravitational acceleration near Earth's surface.
