Calculate the size of the gravitational pull of a sphere of mass 10kg on a mass 2.0kg when their centres are 0.2m apart.
What is the force of the 2.0kg mass on the 10kg mass?
To calculate the gravitational pull between two masses, we can use the equation:
F = (G * m1 * m2) / r^2
Where:
F is the gravitational force
G is the universal gravitational constant (approximately 6.674 × 10^-11 N m²/kg²)
m1 and m2 are the masses of the two objects
r is the distance between the centers of the two objects
Let's plug in the values given in the problem:
m1 = 10 kg
m2 = 2.0 kg
r = 0.2 m
Now we can calculate the gravitational pull:
F = (6.674 × 10^-11 N m²/kg² * 10 kg * 2.0 kg) / (0.2 m)^2
F = (6.674 × 10^-11 N m²/kg² * 10 kg * 2.0 kg) / 0.04 m²
F = (6.674 × 10^-11 N m²/kg² * 20 kg²) / 0.04 m²
F = (1.3348 × 10^-9 N m²/kg²) / 0.04 m²
F = 3.337 × 10^-8 N
Therefore, the force of the 2.0kg mass on the 10kg mass is approximately 3.337 × 10^-8 N.
To calculate the gravitational force between two objects, you can make use of Newton's law of universal gravitation:
F = (G * m1 * m2) / r^2
where:
F is the gravitational force
G is the gravitational constant (approximately 6.67430 x 10^-11 N m^2/kg^2)
m1 and m2 are the masses of the two objects
r is the distance between the centers of the two objects
In this case, the 10kg mass (m1) is exerting a force on the 2.0kg mass (m2). Therefore, we can plug in the values into the formula and solve for the force.
F = (6.67430 x 10^-11 N m^2/kg^2 * 10kg * 2.0kg) / (0.2m)^2
First, let's calculate the denominator:
(0.2m)^2 = 0.04 m^2
Now, let's solve the numerator:
(6.67430 x 10^-11 N m^2/kg^2 * 10kg * 2.0kg) = 1.33486 x 10^-9 N m^2/kg
Now, we can plug in the values:
F = (1.33486 x 10^-9 N m^2/kg) / (0.04 m^2)
F = 3.337 x 10^-8 N
Therefore, the gravitational force between the 2.0kg mass and the 10kg mass is approximately 3.337 x 10^-8 N.