Compute the force of attraction between a 25 kg. mass and a 45 kg. mass that are 9.6 meters apart from center to center.
just plug in your numbers for
F = GMm/r^2
expect a small answer!
25x 45 = 1125
9.6 meters = 9600 km
9600/2 = 4800
1125/4800 = .234375
No. the denominator is distance squared, not halved.
also, don't forget to include G=6.67 * 10^-11 m^3/kg-s^2
To compute the force of attraction between two masses, you can use Newton's law of universal gravitation. The formula is as follows:
F = (G * m1 * m2) / d^2
Where:
F is the force of attraction between the masses,
G is the gravitational constant (approximately 6.67430 x 10^-11 N(m/kg)^2),
m1 and m2 are the masses of the two objects, and
d is the distance separating the centers of the two objects.
Now, let's plug in the given values:
m1 = 25 kg (mass of the first object),
m2 = 45 kg (mass of the second object),
d = 9.6 m (distance between the centers of the objects), and
G = 6.67430 x 10^-11 N(m/kg)^2.
Substituting the values into the formula, we get:
F = (6.67430 x 10^-11 N(m/kg)^2 * 25 kg * 45 kg) / (9.6 m)^2
Simplifying further:
F = (6.67430 x 10^-11 N(m/kg)^2 * 1125 kg^2) / (9.6 m)^2
F = 7.501075 x 10^-9 N
Therefore, the force of attraction between the two masses is approximately 7.501075 x 10^-9 Newtons.