What is the gravitational force between two 5.00 kg masses that are 10.0 cm apart from center to center? (G = 6.67 × 10-11 N m2/kg2)
1.67*10^-7N
To calculate the gravitational force between two masses, you can use the formula:
F = (G * m1 * m2) / r^2
Where:
F is the gravitational force
G is the gravitational constant (6.67 × 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 masses
In this case, the masses are both 5.00 kg and the distance is 10.0 cm (0.1 m).
Plugging these values into the formula:
F = (6.67 × 10^-11 N m^2/kg^2 * 5.00 kg * 5.00 kg) / (0.1 m)^2
Now we can calculate the answer:
F = (6.67 × 10^-11 N m^2/kg^2 * 5.00 kg * 5.00 kg) / 0.01 m^2
F = (6.67 × 10^-11 N m^2/kg^2 * 25.00 kg^2) / 0.01 m^2
F = (1.67 × 10^-9 N m^2/kg) / 0.01 m^2
F = 1.67 × 10^-7 N
Therefore, the gravitational force between two 5.00 kg masses that are 10.0 cm apart is approximately 1.67 x 10^-7 N.
To calculate the gravitational force between two masses, you can use Newton's Law of Universal Gravitation. The formula is:
F = (G * m1 * m2) / r^2
Where:
F is the gravitational force between the masses (in Newtons),
G is the gravitational constant (6.67 × 10^-11 N m^2/kg^2),
m1 and m2 are the masses of the two objects (in kilograms),
and r is the distance between the centers of the two objects (in meters).
In this case, the masses are both 5.00 kg and the distance between them is 10.0 cm (which is 0.100 m). Plugging these values into the formula, we get:
F = (6.67 × 10^-11 N m^2/kg^2 * 5.00 kg * 5.00 kg) / (0.100 m)^2
F = (6.67 × 10^-11 N m^2/kg^2 * 25.00 kg^2) / 0.0100 m^2
F = (1.67 × 10^-9 N m^2/kg^2) / 0.0001 m^2
F = 1.67 × 10^-5 N
So the gravitational force between the two 5.00 kg masses that are 10.0 cm apart from center to center is approximately 1.67 × 10^-5 N.