13. What is the magnitude of the gravitational force that acts on two particles? Assume that particle 1 (m1) is 12 kg and particle 2 (m2) is 25 kg, they are both separated by a distance of 1.2m
F =G•m1•m2/R²
the gravitational constant G =6.67•10^-11 N•m²/kg²,
To calculate the magnitude of the gravitational force between two particles, we can use Newton's law of universal gravitation.
The formula is:
F = G * (m1 * m2) / r^2
Where:
F is the magnitude of the gravitational force
G is the gravitational constant (approximately 6.674 x 10^-11 N(m/kg)^2)
m1 and m2 are the masses of the particles
r is the distance between the particles
Given:
m1 = 12 kg
m2 = 25 kg
r = 1.2 m
Now we can substitute these values into the formula:
F = (6.674 x 10^-11) * (12 kg * 25 kg) / (1.2 m)^2
F = (6.674 x 10^-11) * (300 kg^2) / (1.44 m^2)
Calculating this expression:
F = 6.674 x 10^-11 * 300 / 1.44 = 13.873 x 10^-11 N
Therefore, the magnitude of the gravitational force between the two particles is approximately 13.873 x 10^-11 N.
To calculate the magnitude of the gravitational force between two particles, you can use the equation given by Newton's law of universal gravitation:
F = (G * m1 * m2) / r^2
Where:
F is the magnitude of the gravitational force
G is the gravitational constant (approximately 6.67430 × 10^-11 N(m/kg)^2)
m1 and m2 are the masses of the two particles
r is the distance between the centers of the two particles
Using the given values:
m1 = 12 kg
m2 = 25 kg
r = 1.2 m
We can substitute these values into the equation to find the force:
F = (6.67430 × 10^-11 N(m/kg)^2 * 12 kg * 25 kg) / (1.2 m)^2
Calculating this expression gives us the magnitude of the gravitational force between the particles.