Susie (45kg) and Troy (65 kg) are sitting 2 meters apart. They smile at each other. What is the gravitational force between them? a 4.9x10^8 N b 9.8x10^-8 N c 9.8X10^8 N d 4.9x10^-8 N

Respuesta :

The gravitational force between Susie and Troy is d) [tex]4.9 \cdot 10^{-8}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

m1, m2 are the masses of the two objects

r is the distance between them

In this problem:

[tex]m_1 = 45 kg[/tex] is Susie mass

[tex]m_2 = 65 kg[/tex] is Troy mass

r = 2 m is the distance between them

Substituting into the equation, we find the gravitational force between Susie and Troy:

[tex]F=(6.67\cdot 10^{-11})\frac{(45)(65)}{(2)^2}=4.9\cdot 10^{-8}N[/tex]

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