A sphere of mass 85kg is 12m from a second sphere of mass 65kg.
A)what is the gravitational force of attraction between them?
Fg = Gm1m2/r^2
= 6.67e-11*85*65/12^2
To calculate the gravitational force of attraction between the two spheres, we can use Newton's law of universal gravitation, which states that:
F = (G * m1 * m2) / r^2
Where:
F is the gravitational force of attraction.
G is the gravitational constant (6.67430 × 10^-11 N*m^2/kg^2).
m1 and m2 are the masses of the two spheres.
r is the distance between the centers of the two spheres.
Given:
Mass of the first sphere, m1 = 85 kg
Mass of the second sphere, m2 = 65 kg
Distance between the spheres, r = 12 m
Plugging in the values into the formula:
F = (6.67430 × 10^-11 N*m^2/kg^2 * 85 kg * 65 kg) / (12 m)^2
Calculating:
F = (6.67430 × 10^-11 N*m^2/kg^2 * (85 kg * 65 kg)) / (12 m)^2
F = (6.67430 × 10^-11 N*m^2/kg^2 * 5535 kg^2) / 144 m^2
F = (3.68436955 × 10^-6 N*m^2/kg^2) / 144 m^2
F = 2.55850514 × 10^-8 N
Therefore, the gravitational force of attraction between the two spheres is approximately 2.56 × 10^-8 Newtons.
To determine the gravitational force of attraction between the two spheres, we can use Newton's Law of Universal Gravitation. The formula is as follows:
F = (G * m₁ * m₂) / r²
Where:
F is the gravitational force of attraction
G is the gravitational constant (approximately 6.674 × 10⁻¹¹ N m²/kg²)
m₁ and m₂ are the masses of the two spheres
r is the distance between the centers of the spheres
In this case:
m₁ = 85 kg
m₂ = 65 kg
r = 12 m
Now we can plug the values into the formula to calculate the gravitational force of attraction between them:
F = (6.674 × 10⁻¹¹ N m²/kg²) * ((85 kg) * (65 kg)) / (12m)²
F = (6.674 × 10⁻¹¹ N m²/kg²) * (5525 kg²) / (144 m²)
F = (6.674 × 10⁻¹¹ N m²/kg²) * (5525 / 144) kg
F ≈ (6.674 × 10⁻¹¹ N m²/kg²) * 38.3681 kg
Now, we can calculate the gravitational force of attraction by multiplying the numerical value of the gravitational constant by 38.3681 kg.
F ≈ (6.674 × 10⁻¹¹ N m²/kg²) * 38.3681 kg
F ≈ 2.556 × 10⁻⁹ N
Therefore, the gravitational force of attraction between the two spheres is approximately 2.556 × 10⁻⁹ Newtons.