# Physics

posted by .

A GPS satellite orbits at an altitude of 2.0 x 10^7 m and a speed of 3.9 x 10^3 m/s, Earth’s radius is 6.4 x 10^6 m, and a point at its equator has tangential speed of 460 m/s, By approximately what fraction must the time be adjusted to account for both regular/speed-dependent and gravitational time dilation?

• Physics -

t(Earth) = t(satellite) / (square root) 1 - (v/c)^2

= t(satellite) /
(square root) 1 - [ (3.9 x 10^3) / (3x 10^8)^2 ]

= (1 - 1.7 x 10^-10)^ - 1/2 [ t(satellite) ]

t(Earth) = (1 + 8.5 x 10^-11) [ t(satellite) ]

GMEarth = (6.67 x 10^-11 N x m^2/kg^2)
(5.98 x 10^24 kg)

= 4.0 x 10^14 m^3/s^2

But how did you get (5.98 x 10^24 kg)??

To plug in

t(Earth) = t(satellite) [1 - (1/c^2) [ ( GM/r, Earth )

- ( GM/r, satellite )

## Similar Questions

1. ### physics

Two Earth satellites, A and B, each of mass m, are to be launched into circular orbits about Earth's center. Satellite A is to orbit at an altitude of 7460 km. Satellite B is to orbit at an altitude of 20500 km. The radius of Earth …
2. ### physics

Two Earth satellites, A and B, each of mass m, are to be launched into circular orbits about Earth's center. Satellite A is to orbit at an altitude of 7460 km. Satellite B is to orbit at an altitude of 20500 km. The radius of Earth …
3. ### Physics

Two satellites A and B of the same mass are orbiting Earth in concentric orbits. The distance of satellite B from Earth’s center is twice that of satellite A. What is the ratio of the tangential speed of B to that of A?
4. ### physics

Two Earth satellites, A and B, each of mass m = 960 kg, are launched into circular orbits around the Earth's center. Satellite A orbits at an altitude of 4500 km, and satellite B orbits at an altitude of 13600 km. a) What are the potential …
5. ### AP Physics B

A 1010 kg geosynchronous satellite orbits a planet similar to Earth at a radius 1.97 × 105 km from the planet’s center. Its angular speed at this radius is the same as the rotational speed of the Earth, and so they appear stationary …
6. ### Physics

A 3000kg satellite orbits the Earth 400km above the equator. find a)The speed of the satellite b) The kinetic energy of the satellite c) The potential energy of the satellite d) The total energy of the satellite
7. ### Physics

Some communication satellites are put into a circular geosynchronous orbit in which the satellite remains above a certain position on the earth's equator as it orbits. Such a satellite would always be in the same position in the sky …
8. ### Physics Homework

Consider problem U concerning the geosynchronous satellite of mass 50 kg. It orbits at a radius of 42,300 km with a speed of 3076 m/s. a) How much energy is needed to lift the satellite from the earth's surface (Re=6,370 km) up to …
9. ### physics

A geosynchronous Earth satellite is one that has an orbital period equal to the rotational period of the Earth. Such orbits are useful for communication and weather observation because the satellite remains above the same point on …
10. ### Physics

A satellite orbits the Earth in an orbits 750 km high. Find (*) the satellite's orbital speed and (**) period. (The mass and radius of the Earth are 5.98E + 24 kg and 6370000 m, respectively.)

More Similar Questions