How far above the surface of the Earth will a person’s weight be reduced to one-quarter its value at the surface? Hint: g=Gme/r2 where me is the mass of the Earth, r is the distance from the Earth’s center to the height above Earth and G is the proportionality constant. You will need to look up the mass and radius of the Earth.
How far above the surface of the Earth will a person’s weight be reduced to one-quarter...
How far above the surface of the Earth will a person’s weight be reduced to one-quarter its value at the surface? g=Gme/r2 where me is the mass of the Earth, r is the distance from the Earth’s center to the height above Earth and G is the proportionality constant. You will need to look up the mass and radius of the Earth.
How far above the surface of the earth would you have to be before your weight is reduced by 12.29%?
Question 1 (a)What is the angular frequency of a satellite that orbits the Earth just above the surface? Ignore air resistance . Radius of Earth is Re and centripetal acceleration is ac = (v2)/R. The acceleration at Earth's surface is a = g = (GMe)/(Re2) where Me = mass of Earth. Keep your answer in terms of G, Me, Re. (b) How long would it take you to fall through the center of the Earth and come out the other...
You need an expression for the acceleration of the Moon toward Earth. If the mass of Earth is Me, the mass of the Moon Mm, the separation of Earth and Moon r, and the appropriate gravitational constant is G, the correct expression for the Moon's acceleration is a. GMeMm/r2. b. GMe/r2Mm. c. GMe/r2. d. GMeMm2/r2. e. GMm/r2.
Find the height H of a geosynchronous satellite above the surface of the earth. You may well want to find the radius of the orbit R first. You may use the following constants: The universal gravitational constant G is 6.67×10−11Nm2/kg2. The mass of the earth is 5.98×1024kg. The mass of the satellite is 2.10×102kg. The radius of the earth is 6.38×106m. Give the height of the orbit above the surface in km to three significant digits.
A satellite is in orbit around Earth at a height of 120 km above Earth’s surface. Find the orbital speed of the satellite. (Mass of the earth is 6*1024 kg and the radius of Earth is 6371 km)
Given the formula of the kinetic energy of a particle m with speed v: KE = 1⁄2mv2 , and the formula of the gravitational potential energy: PE = -GMEm/R, where G is gravitational constant and ME and R=6378 km are the mass and the radius of Earth. Now the particle is shot from Earth surface to space. Find the minimum required initial speed for this particle to completely escape the influence of Earth gravity (i.e. PE=0). Notice that the gravitational...
What is the height H above the earth's surface at which all geosynchronous satellites (regardless of mass) must be placed in orbit? Note: A satellite that goes around the earth once every 24 hours is called a geosynchronous satellite. Mass of Earth: 6*1024 kg, radius of Earth = 6400 km. Note that the distance of the satellite from the Earth (r) in the formula is the distance from the center of the Earth. When you find the total distance r,...
22. An Earth satellite is orbiting at a distance from the Earth's surface equal to one Earth radius (4000 miles). At this location, the acceleration due to gravity 13 what factor times the value of g at the Earth's surface? a. There is no acceleration since the satellite is in orbit. b. 2 c. 1/2 d. 1/4 23. An object that is orbiting the Earth at a height of three Earth radil from the center of the Earth has a...
A satellite is orbiting the Earth at a distance of 50’000 km above sea level. (a) What is the gravitational acceleration at this altitude? (15 pts) (b) What is the speed of the satellite along its circular orbit? (5 pts) Earth’s radius: RE = 6370 km Earth’s mass: ME = 5.973 × 1024 kg Universal Gravitational constant: G = 6.674 × 10−11 m3kg−1 s −2