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padilas [110]
4 years ago
13

Two objects, with masses m1 and m2, are originally a distance r apart. The gravitational force between them has magnitude F. The

second object has its mass changed to 2m2, and the distance is changed to r/4. What is the magnitude of the new gravitational force?
(A) 16F
(B) 32F
(C) F/16
(D) F/32
Physics
1 answer:
Romashka [77]4 years ago
6 0

Answer:

The magnitude of the new gravitational force becomes 32 times of the original force.

Explanation:

Two objects, with masses m₁ and m₂, are originally a distance r apart. the gravitational force between them is given by :

F=\dfrac{Gm_1m_2}{r^2}

If the second object has its mass changed to 2m₂ and the distance is changed to r/4, such that,

m_2'=2m_2 and r'=\dfrac{r}{4}

The new gravitational force is given by :

F'=G\dfrac{m_1m'_2}{r'^2}

F'=G\dfrac{m_1(2m_2)}{(r/4)^2}

F'=32\times G\dfrac{m_1m_2}{r^2}

F'=32F

So, the magnitude of the new gravitational force becomes 32 times of the original force. Hence, the correct option is (B) "32F".

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