Gravitational force questions
Favorites|Homepage
Subscriptions | sitemap
HOME > > Gravitational force questions

Gravitational force questions

[From: ] [author: ] [Date: 12-02-11] [Hit: ]
.. ►R = 8.Centripetal force = 3000N = Ms.v² = 3000.R / Ms .......
a 500 kg satellite experiences a gravitational force of 3000 N, while moving in a circular orbit around the earth.

a) find the radius of the circular orbit
b) find the speed of the satellite
c) find the period of the orbit

-
a)
Using the gravitational force equation .. F = G.Ms.Me / R²

3000N = (6.67^-11)(500kg)(5.97^24kg) / R²

3000 = 1.99^17 / R² .. .. R² = 1.99^17 / 3000 = 6.63^3 (m²) .. .. .. ►R = 8.14^6 m

b)
Centripetal force = 3000N = Ms.v² / R
v² = 3000.R / Ms .. .. 3000 x 8.14^6m / 500kg

v² = 4.89^7(m/s)² .. .. .. ►v= 6.99^3 m/s .. (7000 m/s)

c)
Period time .. T = circumference (2πR) / v

T = (2π x 8.14^6m) / 7.0^3m/s .. .. .. ►T = 7.31^3 s .. ( ≈ 2.0hr)
1
keywords: questions,force,Gravitational,Gravitational force questions
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .