Gravity Calculation: Calculate Accel Gravity

In summary, the code calculates the acceleration due to gravity using Newton's Universal Law of Gravitation and the mass and distance of the object from the center of the Earth. The resulting acceleration is then printed to the console.
  • #1
dcs1953
3
0
Code:
public class GravityCalculation {
   public static void main (String [] args) {
      double G            = 6.673e-11;
      double M            = 5.98e24;
      double accelGravity = 0.0;
      double distCenter   = 0.0;

      distCenter = 6.38e6;

      /* Your solution goes here  */

      System.out.println("accelGravity: " + accelGravity);
      return;
   }
}
 
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  • #2
Please wrap your code in [CODE][/CODE] tags...it will preserve the whitespace and make your code easier to read.

One form of Newton's second Law of Motion is:

\(\displaystyle a=\frac{F}{m}\)

where $a$ is acceleration, $F$is the applied force, and $m$ is the mass of the object in motion.

And, Newton's Universal Law of Gravitation states:

\(\displaystyle F=G\frac{Mm}{r^2}\)

Where $F$ is the resulting force, $G$ is the gravitational constant, $M$ and $m$ are the masses of the two objects attracting one another, and $r$ is the distance separating their centers of mass. And so, we find the resulting acceleration of the object having mass $m$ to be:

\(\displaystyle a=\frac{F}{m}=\frac{G\dfrac{Mm}{r^2}}{m}=G\frac{M}{r^2}\)

Can you now use this to construct the needed statement?
 

FAQ: Gravity Calculation: Calculate Accel Gravity

What is the formula for calculating acceleration due to gravity?

The formula for calculating acceleration due to gravity is g = G * M / r^2, where g is the acceleration due to gravity, G is the gravitational constant (6.67 x 10^-11 N*m^2/kg^2), M is the mass of the object, and r is the distance between the center of the object and the center of the Earth.

How is the acceleration due to gravity related to the mass and distance of an object?

The acceleration due to gravity is directly proportional to the mass of the object and inversely proportional to the square of the distance between the object and the center of the Earth. This means that as the mass of an object increases, the acceleration due to gravity also increases, and as the distance between the object and the center of the Earth increases, the acceleration due to gravity decreases.

What is the standard value for acceleration due to gravity on Earth?

The standard value for acceleration due to gravity on Earth is 9.8 m/s^2. This value can vary slightly depending on location and altitude, but for most practical purposes, 9.8 m/s^2 is used as the standard value.

Can acceleration due to gravity be negative?

Yes, acceleration due to gravity can be negative. This occurs when the direction of the acceleration is opposite to the direction of motion. For example, when an object is thrown upwards, the acceleration due to gravity is negative as it is acting in the opposite direction to the object's motion.

How does the acceleration due to gravity on other planets compare to Earth?

The acceleration due to gravity on other planets depends on the mass and radius of the planet. The larger the mass and radius, the greater the acceleration due to gravity. For example, the acceleration due to gravity on Jupiter is about 2.5 times that of Earth, while on Mars it is about 0.38 times that of Earth.

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