What is the force of gravity between two spheres that have a mass of m1 =13 kg, m2 = 49 kg and are separated by 35 m?
To calculate the force of gravity between two spheres, we can apply Newton's law of universal gravitation. According to this law, the force of gravity between two objects is proportional to the product of their masses and inversely proportional to the square of the distance between them.
The formula to calculate the force of gravity (F) is:
F = G * (m1 * m2) / r^2
Where:
- F is the force of gravity
- G is the gravitational constant (approximately equal to 6.67430 × 10^-11 N m^2/kg^2)
- m1 and m2 are the masses of the two objects
- r is the separation distance between the centers of the two objects
Plugging in the given values:
- m1 = 13 kg
- m2 = 49 kg
- r = 35 m
- G = 6.67430 × 10^-11 N m^2/kg^2
We can now calculate the force of gravity between the two spheres.
F = (6.67430 × 10^-11 N m^2/kg^2) * (13 kg * 49 kg) / (35 m)^2
Simplifying the equation:
F = (6.67430 × 10^-11 N m^2/kg^2) * (637 kg^2) / 1225 m^2
F = 347.49 N
Therefore, the force of gravity between the two spheres is approximately 347.49 N.