Answer:
F=GMm/r²
G=6.67x10^-11
F= 6.67x10^-11 x 55 x 55/(0.25)²
=3.228 x 10^-6N
The gravitational force of attraction between the two people is 3.23 × 10⁻⁶ N
From Newton's law of universal gravitation formula, we have that
[tex]F = G\frac{m_{1}m_{2} }{r^{2} }[/tex]
Where F is the gravitational force
G is the gravitational constant (G = 6.67408 × 10⁻¹¹ m³.kg⁻¹.s⁻²)
m₁ is the mass of object 1
m₂ is the mass of object 2
and r is the distance between the centers of the masses
From the question
m₁ = 55 kg
m₂ = 55 kg
r = 0.25 m
Putting the parameters into the formula, we get
[tex]F = 6.67408 \times 10^{-11} \times \frac{55 \times 55}{0.25^{2} }[/tex]
∴ F = 3.23 × 10⁻⁶ N
Hence, the gravitational force of attraction between the two people is 3.23 × 10⁻⁶ N
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