MHB Gravity Calculation: Calculate Accel Gravity

[dcs1953]

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;
   }
}

 

[MarkFL]

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:

$$a=\frac{F}{m}$$

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:

$$F=G\frac{Mm}{r^2}$$

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:

$$a=\frac{F}{m}=\frac{G\dfrac{Mm}{r^2}}{m}=G\frac{M}{r^2}$$

Can you now use this to construct the needed statement?