say me the answer of these question.
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F = GmM/R²
R =R/2
F = GmM/(R/2)²
F = GmM/R²/4
F = 4GmM/R²
= 4F
the force will be 4 times the original force
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Answer:
- According to the law of gravitation, the force between any two objects of mass M and m is directly proportional to their masses and inversely proportional to the square of the distance between them So, Force of gravitation increases by 4 times when distance reduced by half
- Gravitational force acts on all objects in proportion to their masses. All objects fall on ground with constant acceleration, called acceleration due to gravity (in the absence of air resistances). It is constant and does not depend upon the mass of an object.
- magnitude of the gravitational force (F) between the earth and the body is given by, F=GM×mr2=6.67×10−11×6×1024×1(6.4×106)2 = 9.77 N = 9.8 N (approx)
- According to the universal law of gravitation, two objects attract each other with equal force but in opposite direction. Therefore, the earth attracts the moon with the same force as the moon attracts the earth.
- The moon attracts the earth with the same gravitational force as the earth attracts the moon. But the mass of earth is much larger than the mass of the moon. ... Since the mass of earth is very large, the acceleration produced is negligible. Therefore, the earth does not move towards the moon
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