Concept explainers
To Find: The vector sum of all gravitational forces acting on the given system.
Explanation of Solution
Given:
Mass of A,
Mass of B,
Mass of C,
Mass of D,
Distance between A and B,
Distance between B and C,
Distance between A and C,
Distance between C and D,
Distance between B and D,
Formula used:
Gravitational force between two bodies having mass m and M , d distance away is:
G is the gravitational constant.
Calculation:
Distance between A and D,
Gravitational force on A due to B:
Gravitational force on A due to C:
Gravitational force on A due to D:
Gravitational force on B due to C:
Gravitational force on B due to D:
Gravitational force on B due to D:
Thus, the vector sum of all the gravitational forces acting on the system is:
Conclusion:
Thus, the vector sum of all gravitational forces acting on the given system is:
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Physics Fundamentals
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