Question

A satellite of mass mS orbits the Earth (with mass mE and radius RE) with a velocity v and an
altitude h. The gravitational force FG and the centripetal force FC are given by:

FG = G
mS · mE
(RE + h)
2
, FC =
mS · v
2
RE + h
, G = const.
(a) Find an equation for the kinetic energy Ekin(h) of a satellite with an altitude h.
(b) Based on the kinetic energy, how much liquid hydrogen (energy density: 106

J/Litre) is at least
needed to bring a small 1 kg satellite in an orbit of 400 km. (Use literature to find mE, RE, G.)

Answer 1

Answer:Secondary School Physics 5+3 pts

A satellite of mass Ms orbits the earth (with mass me) and radius Re with a velocity V and an altitude H . The gravity Fg and the centripetal force FC are given by

Fg=G Ms.Me/(Re+H)^2,Fc=Ms.v^2/Re+h. , G=const.

Find the equation for kinetic energy E

kin

of satellite

(b)Based on the kinetic energy ,how much liquid hydrogen (energy density 10^6J/litre ) is at least needed to bring a small 1 kg satellite in an orbit of 400 km (use literature to find Me,Re,G)​

02.04.2020

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abicharan27

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Answer:

Let, a satellite of mass m goes around the earth in a circular orbit of radius r=R+R=2R. Here the centripetal force mv

2

/r necessary to keep the satellite in its circular orbit is provided by the gravitational force GMm/r

2

between the earth and the satellite.

Thus, mv

2

/r=GMm/r

2

or v=

r

GM

=

2R

GM

Acceleration at the earth's surface is g=

R

2

GM

So, v=

2R

gR

2

=

gR/2

Explanation: