A solid sphere of mass \( M \), radius \( R \) exerts a gravitational force \( F \) on a point mass. Now a concentric spherical mass \( \frac{M}{7} \) is removed. What is the new force?
Show Hint
- \( \frac{F}{7} \)
- \( \frac{6F}{7} \)
- \( \frac{5F}{7} \)
- \( \frac{3F}{7} \)
The Correct Option is B
Solution and Explanation
When a concentric spherical mass is removed, the gravitational force depends on the remaining mass within the sphere.
The force is proportional to the mass, so the new force is \( \frac{6}{7} \) of the original force.
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