(adsbygoogle = window.adsbygoogle || []).push({}); [SOLVED] Gravitational Forces

1. The problem statement, all variables and given/known data

A 1000 kg weather satellite is orbiting the earth at a constant speed. It is 500 km above the earth's surface. The earth has a mass of 5.976 x 10^24 kg and a radius of 6370 km. (a) How much gravitational force exists between the Earth and the satellite? (b) How long does it take the satellite to go around the Earth once? (c) How are is that (measured in meters)? (d) how fast is the satellite moving (in m/sec)?

2. Relevant equations

F=G(m1 m2)/r^2

C=2πr

v=rω

3. The attempt at a solution

(a) F=6.67 x 10^-11 N.m^2/kg^2)((1000kg)(5.976 x 10^24 kg)/6870000 m^2)

= 8445.5 N

(b) I have no idea how to do this one with the numbers that was given... the answer is 94.49 min...

(c) C=2(π)(6870000 m)

= 4.32 x 10^7m

(d) all I know is to do v=rω. But I don't know what to plug in.... the answer is 7617.1 m/sec

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Gravitational Forces acting on a satellite

**Physics Forums | Science Articles, Homework Help, Discussion**