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jkena04
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The problem I am struggling with is this . .
The centre of the Earth-Moon system is 4.7x10^3 km from the centre of the earth. Calculate;
i.the ratio of the mass of the Earth with the mass of the moon.
ii.The acceleration of free fall on the Moon's surface.
Constants
Distance between centre of mass of the Earth and centre of mass of moon - 3.8x10^5 km
Radius of Earth - 6.4x10^3 km
radius of moon - 1.7x10^3 km
Im a bit confused over how the moon actually orbits the earth. Do both planets orbit a centre point? If this is the case then for the Earth is in circular motion about a centre point, hence;
F(centripetal)=(m(earth)*v^2)/r = Gravitational force = (G*m(earth)*m(moon))/R^2
where R=distance between Earth and moon
r=radius of circular orbit
is this correct? also do the Earth and the moon also have the same tangential or angular speed?
Thank you in advance for your help!
The centre of the Earth-Moon system is 4.7x10^3 km from the centre of the earth. Calculate;
i.the ratio of the mass of the Earth with the mass of the moon.
ii.The acceleration of free fall on the Moon's surface.
Constants
Distance between centre of mass of the Earth and centre of mass of moon - 3.8x10^5 km
Radius of Earth - 6.4x10^3 km
radius of moon - 1.7x10^3 km
Im a bit confused over how the moon actually orbits the earth. Do both planets orbit a centre point? If this is the case then for the Earth is in circular motion about a centre point, hence;
F(centripetal)=(m(earth)*v^2)/r = Gravitational force = (G*m(earth)*m(moon))/R^2
where R=distance between Earth and moon
r=radius of circular orbit
is this correct? also do the Earth and the moon also have the same tangential or angular speed?
Thank you in advance for your help!