Beichner, Robert J., man W. Jewett, and also Raymond A. Serway. Physics because that Scientists and also Engineers. Brand-new York: Saunders College, 2000. You are watching: From the given information write an equation for the mass of the planet | \"Body: Earth, massive (kg): 5.98×1024kg\" | 5.98×1024kg |

\"Earth.\" The World publication Encyclopedia. Vol.6. Chiacago: World book Inc., 2001. | \"Mass: 6,600,000,000,000,000,000,000 (6.6 sextillion) short tons (6.0 sextillion metrictons).\" | 6.0×1024kg |

Smith, Peter J. The Earth. Brand-new York: Macmillan Company, 1986. | \"The Solar mechanism is conquered by the Sun, which has a mass of around 2×1030kg. This is about 343,000 time the fixed of the Earth.\" | 5.83×1024kg |

Larouse. Astronomy. Brand-new York: truth on record Publications, 1981. | \"The calculation shows that that is an extremely close come 6.1024kilograms (6,000billionbilliontons).\" | 6.0×1024kg |

As us all learned in grade school, the earth is the third planet native the Sun. The planet earth is just a tiny component of the universe, yet it is the house of human beings and all well-known life in it. Animals, plants and other biology live almost everywhere ~ above Earth\"s surface. The ranks 5th in size, and also its mass is uncovered to be about 5.98×1024kg. Mass is a characteristic the is inherent, and also it is independent of the object\"s environment and the method used to measure up it. It is a scalar quantity, the is, a single value with and also appropriate unit that has actually no direction.

The fixed of the planet may be identified using Newton\"s legislation of gravitation. That is provided as the pressure (F), i beg your pardon is equal to the Gravitational continuous multiplied by the mass of the planet and the mass of the object, separated by the square of the radius that the planet. We set this same to the an essential equation, force (F) amounts to mass (m) multiplied by acceleration (a). We recognize that the acceleration as result of gravity is equal to 9.8m/s2, the Gravitational constant(G) is 6.673×10−11Nm2/kg2, the radius that the earth is 6.37×106m, and also mass cancels out. As soon as we rearrange the equation and plug all the numbers in, we discover that the massive of the planet is 5.96×1024kg.

F=Gm1m2/r2=maGm/r2=gm=gr2/Gm=(9.8m/s2)(6.37×106m)2/(6.673×10−11Nm2/kg2)m=5.96×1024kg

The earth gains mass each day, as a result of just arrive debris indigenous space. This occurs in the creates of \"falling stars\", or meteors, ~ above a dark night. The actual amount of included material relies on every study, though it is estimated that 10 come the 8th power kilograms the in-falling issue accumulates every day. The seemingly big amount, however, is insignificant to the Earth\"s complete mass. The planet adds an approximated one quadrillionth that one percent come its weight each day.

Samantha Dong -- 2002

BibliographicEntryResult(w/surroundingtext)StandardizedResultHewitt, Paul G. Theoretical Physics. N.P.: Addison-Wesley Publishing, 1987: 147. | \"M=5.98×1024kg\" | 5.98×1024kg |

Characteristics of Earth. Encarta. 5 might 2002. | \"Approximate Mass:5.98×1021 metrictons\" | 5.98×1024kg |

Arnett, Bill. Earth. 05 might 2002. 27 may 2002. | \"mass: 5.5.972e24kg\" | 5.972×1024kg |

Giancoli, Douglas C. Physics. Englewood Cliffs, NJ: Prentice-Hall, 1980. 73. | \"me=gr2/G=…=6.0×1024kg\" | 6.0×1024kg |

The Earth. Enchanted Learning. 1999. | \"The Earth\"s fixed is about 5.98×1024kg\" | 5.98×1024kg |

Earth, the third planet native the sun, is one of the most unique celestial body in ours solar system. That is the just planet in ours solar mechanism that sustains life and it is the planet that us can call our own.

In approximately 230BC, the Greek mathematian, Eratosthenes calulated the radius that the Earth. He contrasted the shadows in the wells throughout the summer solstice and also obtained the value 6.38×106 M. In the 16th century, Galileo determined the acceleration due to the pressure of gravity near the surface ar of the Earth and obtained 9.8m/sec2.

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Sir Isaac Newton greatly contributed to the research of physics and therefore, his efforts figured out the mass of the Earth. His law of heaviness and second law of motion are used together to attain a value for the mass of ours planet. Newton\"s legislation of gravity formulates the gravitational pressure that 2 masses exert on every other and also is given by

F=GmM/r2

M anm room the 2 masses, r is the separation between them, and also G is the universal gravitational continuous which to be calculated by Henry Cavendish in 1798, which has actually a worth of 6.67×10−11m3/(kg sec2).

If we assumed that M is the fixed of the Earth, and m is the fixed of things on the surface of the Earth, we can solve because that M by equating Newton\"s law of Gravity v his 2nd law the motion