At a certain point between Earth and the Moon, the net gravitational force exerted on an object by Earth and the Moon is zero. The Earth-Moon centre-to-centre seperation is 3.84 x 10^5 km. The mass of the Moon is 1.2% the mass of Earth

a) where is this point located? Are there any other such points?

b) What is the physical meaning of the root of the quadratic equation whose value exceeds the Earth-Moon distance?

Question

At a certain point between Earth and the Moon, the net gravitational force exerted on an object by Earth and the Moon is zero. The Earth-Moon centre-to-centre seperation is 3.84 x 10^5 km. The mass of the Moon is 1.2% the mass of Earth 

a) where is this point located? Are there any other such points? 

b) What is the physical meaning of the root of the quadratic equation whose value exceeds the Earth-Moon distance?

theeric · Answer

Hi! Did you try drawing a picture yet?

anonymous · Answer

um yeah its pretty fail... it looks something along the lines of this.. |dw:1373507319017:dw|