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Two astronauts of mass 100 kg are 2 m apart in outer space. What is the
force of gravity between them? (G = 6.67 x 10-11 N·m2/kg)

Respuesta :

skyluke89

The force of gravity between the astronauts is [tex]1.67\cdot 10^{-7}N[/tex]

Explanation:

The magnitude of the gravitational force between two objects is given by:

[tex]F=G\frac{m_1 m_2}{r^2}[/tex]

where :

[tex]G=6.67\cdot 10^{-11} m^3 kg^{-1}s^{-2}[/tex] is the gravitational constant

[tex]m_1, m_2[/tex] are the masses of the two objects

r is the separation between them

In this problem, we have two astronauts, whose masses are:

[tex]m_1 = 100 kg\\m_2 = 100 kg[/tex]

While the separation between the astronauts is

r = 2 m

Substituting into the equation, we can find the gravitational force between the two astronauts:

[tex]F=\frac{(6.67\cdot 10^{-11})(100)(100)}{2^2}=1.67\cdot 10^{-7}N[/tex]

Learn more about gravitational force:

brainly.com/question/1724648

brainly.com/question/12785992

#LearnwithBrainly

The is the  force of gravity between astronauts in the outer space is [tex]\bold {1.67x10 ^-7\ N}[/tex].

 

The gravitational force between two objects is:  

[tex]\bold {F=G{\frac{m_1m_2}{r^2}}}[/tex]

Where,  

F = force

G = gravitational constant = [tex]\bold { 6.67 x 10^{-11}\ N.m2/kg)}[/tex]

m1 = mass of object 1 = 100 kg

m2 = mass of object 2 = 100 kg

r = distance between centers of the masses = 2 m

Put the values into the formula,  

[tex]\bold {F =\bold { 6.67 x 10^{-11}\ N.m2/kg} {\dfrac{100\times 100}{2^2}}}\\\\\bold {F = 1.67x10 ^-7\ N}[/tex]

Therefore, the is the  force of gravity between astronauts in the outer space is [tex]\bold {1.67x10 ^-7\ N}[/tex].

 

To learn more about gravitational force:

https://brainly.com/question/21500344

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