Find the gravitational force of attraction between two balls each weighing 10 kg,when placed at a distance of 1 meter apart
Give the full sol
To calculate the gravitational force of attraction between two objects, we can use Newton's law of universal gravitation. The formula for this law is:
F = G * (m1 * m2) / r^2
where F is the gravitational force of attraction, G is the gravitational constant (approximately 6.67430 × 10^-11 N(m/kg)^2), m1 and m2 are the masses of the two objects, and r is the distance between the centers of the two objects.
In this case, both balls have a mass of 10 kg, and they are placed 1 meter apart. Plugging these values into the formula, we get:
F = (6.67430 × 10^-11 N(m/kg)^2) * (10 kg * 10 kg) / (1 meter)^2
Now, let's solve this equation step by step:
1. Calculate the square of the distance:
r^2 = 1 meter * 1 meter = 1 meter^2
2. Multiply the masses:
m1 * m2 = 10 kg * 10 kg = 100 kg^2
3. Plug the values into the formula:
F = (6.67430 × 10^-11 N(m/kg)^2) * (100 kg^2) / (1 meter^2)
4. Calculate the result:
F = 6.67430 × 10^-11 N(m/kg)^2 * 100 kg^2 / 1 meter^2
F = 6.67430 × 10^-9 N
Therefore, the gravitational force of attraction between the two balls would be approximately 6.67430 × 10^-9 N.