Calculating Force of Gravity Between Earth & Mars

In summary, the force of gravity between Earth and Mars can be calculated using the formula F = G * ((m1 * m2) / r^2), where G is the universal gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between them. The universal gravitational constant, denoted as G, is a fundamental constant in physics that represents the strength of the gravitational force between two objects. The force of gravity between two objects is directly proportional to the masses of the objects, meaning that the larger the mass of Earth and Mars, the stronger the force of gravity between them. However, the force of gravity is inversely proportional to the square of the distance between the objects, so as
  • #1
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1. Calculate the force of gravity between a newborn baby (mass=3kg) and the planet Mars (mass=6.4 X 10^23 kg) when Mars is at its closest to Earth (distance=5.6 X 10^10 m).



2. F= G m1m2/d2



3. I got this far and I don't know how to break down the equation any further: F= G M m /R^2= 6.67300 × 10^-11 m^3 kg^-1 s^-2 *6.4 x 10^23 kg *3.00 kg/(8*10^10 m)^2
 
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  • #2


I haven't checked all your numbers but it looks reasonable. Just calculate what the result is on your calculator.
 

1. How is the force of gravity between Earth & Mars calculated?

The force of gravity between two objects can be calculated using the formula F = G * ((m1 * m2) / r^2), where G is the universal gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between them.

2. What is the universal gravitational constant?

The universal gravitational constant, denoted as G, is a fundamental constant in physics that represents the strength of the gravitational force between two objects. It has a value of approximately 6.674 x 10^-11 N*m^2/kg^2.

3. How do the masses of Earth and Mars affect the force of gravity between them?

The force of gravity between two objects is directly proportional to the masses of the objects. This means that the greater the mass of the objects, the stronger the force of gravity between them. Therefore, the larger mass of Earth and Mars results in a stronger force of gravity between them.

4. How does the distance between Earth and Mars impact the force of gravity between them?

The force of gravity between two objects is inversely proportional to the square of the distance between them. This means that the further apart the objects are, the weaker the force of gravity between them. Therefore, as the distance between Earth and Mars increases, the force of gravity between them decreases.

5. What is the significance of calculating the force of gravity between Earth and Mars?

Calculating the force of gravity between Earth and Mars is important for understanding the dynamics of the solar system and the movements of celestial bodies. It also has practical applications, such as predicting the trajectories of spacecraft traveling between Earth and Mars.

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