Tutorial: Answer

### Answer:

## To calculate the force of gravitation between the Earth and the pencil we use the equation for F.

## To calculate the acceleration of the Earth towards the pencil we use the equation for a1.

## To calculate the acceleration of the pencil towards the Earth we use the equation for a2.

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Known values | |
---|---|

G | 6.67 x 10^-11 m^3kg^-1s^-2 |

m1 | 5.97 x 10^24 kg |

m2 | 0.001 kg |

r | 6360001 |

Unknowns | |

F | ? |

a1 | ? |

a2 | ? |

F=Gm1m2/r^2

F=((6.67 * 10^-11)*(5.97 * 10^24)*(0.001))/6360001^2

F=0.009844325 kgm/s^2

a1=Gm2/r^2

a1=(6.67 * 10^-11)*(0.001)/6360001^2

a1=1.65 * 10^-27 m/s^2

a2=Gm1/r^2

a2=(6.67 * 10^-11)*(5.97 * 10^24)/6360001^2

a2=9.84 m/s^2

Notice how tiny the acceleration of the Earth is compared to the acceleration of the pencil. This is why we can't tell that the Earth is moving towards the pencil. Also notice how close the acceleration of the pencil is to the accepted average value for the acceleration of gravity on the Earth's surface (9.81 m/s^2)!

Last modified: Monday, 30-Apr-2018 23:42:13 UTC

2019