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marishachu [46]
3 years ago
10

Fg =G m1m2/r2 solver for G

Physics
1 answer:
Blababa [14]3 years ago
6 0

G = \frac{F_{g} r^{2}  }{m_{1} m_{2}  }

Explanation:

 Solving for G simply implies that we make G the subject of the formula:

  Given equation:

               F_{g} = G \frac{m_{1}  m_{2} }{ r^{2} }

 To make G the subject of this expression follow these steps:

            Multiply both sides of the equation by r^{2}

   

     F_{g} x r^{2} = G \frac{m_{1}  m_{2} }{ r^{2} } x r^{2}

 

      This gives:

                F_{g}  r^{2} = G m_{1}  m_{2}

     

    Multiply both sides by \frac{1}{m_{1} m_{2} }

  F_{g}  r^{2}  x   \frac{1}{m_{1} m_{2} } =  \frac{1}{m_{1} m_{2} } x G m_{1}  m_{2}

  Therefore:

                G = \frac{F_{g} r^{2}  }{m_{1} m_{2}  }

Learn more:

Solving formula brainly.com/question/2998489

#learnwithBrainly

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The trains will collide at a distance 1660 m from the station

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Let the train traveling due north with a constant speed of 100 m/s be Train A.

Let the train traveling due south with a constant speed of 136 m/s be Train B.

From the question, Train B leaves a station 2,881 m away (that is 2,881 m away from Train A position).

Hence, the two trains would have traveled a total distance of 2,881 m by the time they collide.

∴ If train A has covered a distance x m by the time of collision, then train B would have traveled (2881 - x) m.

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At the position where the trains will collide, the two trains must have traveled for equal time, t.

That is, At the point of collision,

t_{A} = t_{B}

t_{A} is the time spent by train A

t_{B} is the time spent by train B

From,

Velocity = \frac{Distance }{Time }\\

Time = \frac{Distance}{Velocity}

Since the time spent by the two trains is equal,

Then,

\frac{Distance_{A} }{Velocity_{A} }  = \frac{Distance_{B} }{Velocity_{B} }

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{Distance_{B} = 2881 - x m

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Hence,

\frac{x}{100} = \frac{2881 - x}{136}

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This is the distance covered by train A by the time of collision.

Hence, Train B would have covered (2881 - 1221)m = 1660 m

Train B would have covered 1660 m by the time of collision

Since it is train B that leaves a station,

∴ The trains will collide at a distance 1660 m from the station.

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