Answer to Question #184324 in Mechanics | Relativity for Nicole

Question

The gravitational attraction between two rocks of equal mass in deep space is 16.0 N. If both rocks double in mass and the distance separating the two rocks doubles , what is the resulting gravitational force between them ?

(A) 8.00 N

(B) 12.0 N

(C ) 16.0 N

(D ) 32.0 N

Answer 1

Solution.

$F=16.0N;$

$F=G\dfrac{m_1m_2}{r^2};$

$F_1=G\dfrac{2m_1\sdot 2m_2}{(2r)^2}=G\dfrac{4m_1m_2}{4r^2}=G\dfrac{m_1m_2}{r^2};$

$F_1=F=16.0N;$

Answer: $(C) 16.0 N.$