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A 90.0 kg person is sitting 1.00 m away from a 60.0 kg person at a football game. What is the gravitational force between them

Answer :

samuelonum1

Answer:

The force is [tex]36*10^-^9 N[/tex]

Explanation:

According to newtons law on gravitation formula, which  we are going to apply,

[tex]F= \frac{Gm1m2}{d^2}[/tex]

Where G represents universal gravitation constant, [tex]6.67*10^-^1^1 N.m^2/kg^2[/tex]

Given data

m1= 90 kg

m2= 60 kg

d= 1 m

Substituting our given data into the formula we have

[tex]F= \frac{6.67*10^-^1^1*90*60}{1^2}[/tex]

[tex]F= \frac{6.67*10^-^1^1*5.4*10^3}{1^2}\\\\F= 36*10^-^9 N[/tex]

The gravitational force between the two people in the football game is 3.6 * 10⁻⁷ N

Newton's law of gravitation states that the force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

F = Gm₁m₂/r²

G is the gravitational constant = 6.67 * 10⁻¹¹ N.m²/kg, m₁ = first mass = 90 kg, m₂ = second mass = 60 kg, r = distance = 1 m

F = Gm₁m₂/r²

F = 6.67 * 10⁻¹¹ N.m²/kg * 90 kg * 60 kg / 1² = 3.6 * 10⁻⁷ N

The gravitational force between the two people in the football game is 3.6 * 10⁻⁷ N

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