1. Suppose that a more massive planet M1 and a less massive planet M2 are located distance d apart, as shown above. Let M1 = 6M2 (namely, M1 is 6 times as massive as M2).
a.) Find the location of the point in space between the two planets where a small object m would experience a net gravitational force of zero. • Express your final answer EITHER as a fully simplified exact arithmetic expression using d, OR as a decimal fraction of d expressed to 3 significant figures. • State whether the distance in your answer is measured to the right of M2 or measured to the left of M1.
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