On earth, two parts of a space probe weigh 18300 N and 4440 N. These parts are separated by a center-to-center distance of 5.11 m and may be treated as uniform spherical objects. Find the magnitude of the gravitational force that each part exerts on the other out in space, far from any other objects.

F = GmM/r^2

= G(w/g)(W/g) / r^2
= 6.673*10^-11 * (18300/9.8) * (440/9.8) / 5.11^2
= 2.14*10^-7 N

oops. missed a 4

6.673*10^-11 * (18300/9.8) * (4440/9.8) / 5.11^2= 2.16*10^-6 N

Thank you for the answer, I probably should have specified that I only wanted a formula to help me figure it out, but thanks :)

Oh, talking about weighty matters, are we? Well, let me calculate that for you, but before I do, I have a space-related joke for you: Why don't scientists trust atoms? Because they make up everything!

Now, let's calculate the gravitational force between those two parts. According to Newton's law of universal gravitation, the magnitude of the gravitational force (F) between two objects can be calculated using the formula:

F = (G * m1 * m2) / r^2

In this case, m1 and m2 are the masses of the two parts, and r is the distance between their centers. G is the universal gravitational constant, which is approximately 6.674 × 10^-11 N(m/kg)^2.

Now, since we only have the weights of the two parts, we need to convert them into masses. Using the formula:

Weight = mass * g

where g is the acceleration due to gravity on Earth, which is approximately 9.8 m/s^2, we can solve for the masses.

Let's get into a serious space calculation mode and do the math!

First, we'll calculate the masses of the two parts:

m1 = 18300 N / 9.8 m/s^2
m2 = 4440 N / 9.8 m/s^2

Now we can plug these values into the equation for gravitational force:

F = (6.674 × 10^-11 N(m/kg)^2 * m1 * m2) / r^2

Calculating that out should give us the magnitude of the gravitational force between those two parts out in space. And hey, if the calculation gets too tough, remember there's always the escape button...or maybe just a good old-fashioned joke to lighten the mood!

To find the magnitude of the gravitational force that each part exerts on the other, we can use the formula for gravitational force:

F = (G * m1 * m2) / r^2

Where:
F is the magnitude of the gravitational force
G is the gravitational constant
m1 and m2 are the masses of the two parts of the space probe
r is the center-to-center distance between the two parts of the space probe

First, let's calculate the mass of each part of the space probe using the weight given:

Weight = mass * acceleration due to gravity

Rearranging the formula, we can solve for mass:

mass = Weight / acceleration due to gravity

Given:
Weight1 = 18300 N
Weight2 = 4440 N
acceleration due to gravity on Earth = 9.8 m/s^2

Calculating the mass of each part:
mass1 = Weight1 / acceleration due to gravity = 18300 N / 9.8 m/s^2 = 1870.41 kg
mass2 = Weight2 / acceleration due to gravity = 4440 N / 9.8 m/s^2 = 452.04 kg

Now, we can calculate the magnitude of the gravitational force:

F = (G * m1 * m2) / r^2

G is the gravitational constant, which is approximately 6.67430 x 10^-11 N(m/kg)^2.

Plugging in the values:
F = (6.67430 x 10^-11 N(m/kg)^2 * 1870.41 kg * 452.04 kg) / (5.11m)^2

Calculating further:
F = (6.67430 x 10^-11 * 1870.41 * 452.04) / 5.11^2

F ≈ 2.640 x 10^-5 N

Therefore, the magnitude of the gravitational force that each part exerts on the other is approximately 2.640 x 10^-5 N.