Two spheres with masses of 5.00 g and 10. kg respectively are .500 m apart. calculate the force of attraction between them.
F =G•m₁•m₂/R²
the gravitational constant
G =6.67•10⁻¹¹ N•m²/kg²,
F=6.67•10⁻¹¹•0.005•10/0.25=...
To calculate the force of attraction between two spheres, you can use Newton's law of universal gravitation, which states that the force of attraction between two objects is directly proportional to the product of their masses and inversely proportional to the distance between their centers, squared.
The formula for calculating the force of attraction (F) is given by:
F = (G * m1 * m2) / r^2
Where:
F is the force of attraction
G is the gravitational constant (6.673 × 10^-11 N m^2 / kg^2)
m1 and m2 are the masses of the spheres
r is the distance between the centers of the two spheres.
Using the given values:
m1 = 5.00 g = 0.005 kg
m2 = 10.0 kg
r = 0.500 m
Plugging the values into the formula:
F = (6.673 × 10^-11 N m^2 / kg^2) * (0.005 kg) * (10.0 kg) / (0.500 m)^2
Simplifying the equation:
F = (6.673 × 10^-11 N m^2 / kg^2) * 0.005 kg * 10.0 kg / (0.500 m * 0.500 m)
F = (6.673 × 10^-11 N m^2 / kg^2) * 0.05 kg^2 / (0.25 m^2)
F = (6.673 × 10^-11 N m^2 / kg^2) * 0.2 kg / m^2
Now, you can calculate the force of attraction between the two spheres by multiplying the values together:
F = 6.673 × 10^-11 N m^2 / kg^2 * 0.2 kg / m^2
Using a calculator, you can get the final answer:
F ≈ 1.334 × 10^-11 N
Therefore, the force of attraction between the two spheres is approximately 1.334 × 10^-11 Newtons.