Calculate the force of gravitational attraction between two spheres of mass 10.1kg and 45.2 kg that are 38.5m apart.
To calculate the force of gravitational attraction between two spheres, we can use Newton's law of universal gravitation:
F = (G * m1 * m2) / r^2
where F is the force of gravitational attraction, G is the gravitational constant (6.674 × 10^-11 N m^2/kg^2), m1 and m2 are the masses of the spheres, and r is the distance between their centers.
Plugging in the given values:
m1 = 10.1 kg
m2 = 45.2 kg
r = 38.5 m
G = 6.674 × 10^-11 N m^2/kg^2
F = (6.674 × 10^-11 N m^2/kg^2 * 10.1 kg * 45.2 kg) / (38.5 m)^2
To calculate the force of gravitational attraction between two spheres, we can use Newton's law of universal gravitation. The formula is:
F = (G * m1 * m2) / r^2
where:
F is the force of gravitational attraction
G is the gravitational constant (approximately 6.674 × 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:
m1 = 10.1 kg
m2 = 45.2 kg
r = 38.5 m
Step 1: Plug in the values into the formula:
F = (6.674 × 10^-11 N m^2 / kg^2 * 10.1 kg * 45.2 kg) / (38.5 m)^2
Step 2: Simplify the equation:
F = (6.674 × 10^-11 N m^2 / kg^2 * 10.1 kg * 45.2 kg) / (38.5 m * 38.5 m)
Step 3: Calculate the result:
F ≈ 6.72 × 10^-8 N
Therefore, the force of gravitational attraction between the two spheres is approximately 6.72 × 10^-8 N.