# Gravitational Forces acting on a satellite

[SOLVED] Gravitational Forces

## Homework Statement

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)?

F=G(m1 m2)/r^2
C=2πr
v=rω

## 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

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Related Introductory Physics Homework Help News on Phys.org
i know that stuff on the website. the only thing i dont understand is how to apply it to part b and d because i'm not sure of how to convert them into minutes. and without that, i can't figure out how to find the velocity...

Tom Mattson
Staff Emeritus