Question
Two bodies of masses m and 4m are separated by a
distance d. Where will the gravitational field be zero along the line joining them?Solution
We are given: ·       Two masses: m and 4m ·       Separated by a distance d ·       We are to find the point along the line joining them where gravitational field is zero Let’s assume the point where the gravitational field is zero lies at a distance x from mass m (and hence, distance d – x from mass 4m ). At that point, the magnitudes of gravitational fields due to both masses must be equal and opposite : 
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