Physics Help? Gravity?
Any help is great appreciated, even if its just one question. Thank you!
1. How hard i the sun pulling on earth? The mass of earth is 2*10^24 kg, the mass of the sun is
2*10^30 kg, and the distance between the Earth and the Sun is 1.5*10^11m.
2. How far from the center of Earth must a 580 kg satellite be orbiting to feel a gravitational force of 5494 N? How far above the surface of Earth is this?
3. Pluto's mass is 0.0021 times the mass of Earth. Find the relative force of gravity on Pluto from the sun, compared to Earth, when it is 49 times further away from the sun than the Earth is, and when it is 30 times as far away from Sun as the Earth is.
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To solve these problems, you need to use Newton's law of universal gravitation:
F= (Gm1m2)/ r^2
I'll help with the second problem, but the rest are solved in a similar manner. Please note that the reference below is where I took my constant values in regards to the Earth.
F= 5494 N
G= 6.67x10^-11 N(m/kg)^2
m1(Earth)= 5.97x10^24 kg
m2(satellite)= 580 kg
r = unknown (m)
Rearranging the equation, we get:
r = sqrt[(Gm1m2) / F]
r = sqrt[ (6.67x10^-11)(5.97x10^24)(580) / 5494 }
r = 6.48x10^6 m = 6,480 km This is the distance from the Earth's core to the satellite
Referring back to my reference, the radius of the Earth is 6378.1 km. Thus, 6,480 - 6378.1= 102 km. 102 km is the distance from the Earth's crust to the satellite.