Find the gravitational force exerted by a 0.515 kg mass on a 0.108 kg mass 1.94 m away.
F = GMm/r^2
where do you get stuck?
who is it supposed to be set up?
To find the gravitational force exerted by one object on another, you can use Newton's Law of Universal Gravitation. The formula for calculating the gravitational force is:
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 is the mass of the first object
m2 is the mass of the second object
r is the distance between the centers of the two objects
In this case, we have:
m1 = 0.515 kg (mass of the first object)
m2 = 0.108 kg (mass of the second object)
r = 1.94 m (distance between the two objects)
Now, we can plug these values into the formula:
F = (6.67430 x 10^-11 N·m^2/kg^2 * 0.515 kg * 0.108 kg) / (1.94 m)^2
Simplifying the equation further:
F = (6.67430 x 10^-11 N·m^2/kg^2 * 0.05577 kg^2) / 3.7636 m^2
F = 1.00632 x 10^-9 N
Therefore, the gravitational force exerted by the 0.515 kg mass on the 0.108 kg mass, 1.94 m away, is approximately 1.00632 x 10^-9 N.