The centers of a 14 kg lead ball and a 120 g lead ball are separated by 9.0cm .What gravitational force does each exert on the other?
To calculate the gravitational force between two objects, you can use Newton's law of universal gravitation, which states that 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 their centers.
First, convert the mass of the lead ball to kilograms:
Mass of the 14 kg lead ball = 14 kg
Mass of the 120 g lead ball = 120 g = 0.120 kg
Next, calculate the gravitational force between the two balls using the following formula:
F = (G * m1 * m2) / r^2
Where:
F is the gravitational force
G is the gravitational constant (6.67430 × 10^-11 N m^2/kg^2)
m1 and m2 are the masses of the two balls
r is the distance between their centers.
Plugging in the values given:
m1 = 14 kg
m2 = 0.120 kg
r = 9.0 cm = 0.09 m
G = 6.67430 × 10^-11 N m^2/kg^2
Calculating the gravitational force:
F = (6.67430 × 10^-11 N m^2/kg^2 * 14 kg * 0.120 kg) / (0.09 m)^2
F = (14 * 0.120 * 6.67430 × 10^-11) / (0.09)^2 N
By evaluating the expression, we can determine the gravitational force each ball exerts on the other.
Newton's Law:
Force=GM1*M2/d^2 where d is 0.09m