Find the gravitational force exerted by a 0.525 kg mass on a 0.109 kg mass 2.04 m away.
To find the gravitational force exerted by one mass on another, 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 between the two masses,
G is the gravitational constant (approximately 6.67430 × 10^-11 m^3 kg^-1 s^-2),
m1 is the mass of the first object,
m2 is the mass of the second object, and
r is the distance between the two masses.
In this case, we are given:
m1 = 0.525 kg
m2 = 0.109 kg
r = 2.04 m
Plugging in the values into the formula, we have:
F = (6.67430 × 10^-11 m^3 kg^-1 s^-2) * [(0.525 kg) * (0.109 kg)] / (2.04 m)^2
Calculating this equation, we find:
F ≈ 1.96 × 10^-6 N
Thus, the gravitational force exerted by a 0.525 kg mass on a 0.109 kg mass 2.04 m away is approximately 1.96 × 10^-6 N.