A 30 kg satellite and a 2,000 kg meteorite are 21 m away from each other. How much force exists between them?
force=G 30(2000)/21^2
1.428
To calculate the force between two objects, we can use Newton's Law of Universal Gravitation. The formula is as follows:
F = (G * m1 * m2) / r^2
Where:
F is the force between the two objects,
G is the gravitational constant (6.67430 × 10^-11 N m^2/kg^2),
m1 and m2 are the masses of the two objects, and
r is the distance between the centers of the two objects.
In this case, the mass of the satellite is 30 kg, the mass of the meteorite is 2,000 kg, and the distance between them is 21 m.
Substituting these values into the formula, we have:
F = (6.67430 × 10^-11 N m^2/kg^2 * 30 kg * 2000 kg) / (21 m)^2
Now we can solve it step by step:
1. Calculate the distance squared: (21 m)^2 = 441 m^2
2. Multiply the masses: 30 kg * 2000 kg = 60000 kg^2
3. Multiply the gravitational constant by the masses and divide by the distance squared: (6.67430 × 10^-11 N m^2/kg^2 * 60000 kg^2) / 441 m^2
Using a calculator, we can find the final result:
F = 8.9998 × 10^-9 N
Therefore, the force between the satellite and the meteorite is approximately 8.9998 × 10^-9 Newtons.