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Math Help - more algebra

  1. #1
    Member smmmc's Avatar
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    more algebra

    1)The gravitational force between two objects, F(N), is given by the formula
    F = 6.67 10^−11m1m2/ r^ 2
    where m1 and m2 are the mass (in kilograms) of each object and r (in metres) is the distance
    between them.

    A)The gravitational force between a planet and an object 6.4 106 m away from the
    centre of the planet is found to be 2.4 104 N. If the object has a mass of 1500 kg,
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  2. #2
    MHF Contributor
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  3. #3
    Member smmmc's Avatar
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    1)The gravitational force between two objects, F(N), is given by the formula
    F = 6.67 10^−11m1m2/ r^ 2
    where m1 and m2 are the mass (in kilograms) of each object and r (in metres) is the distance
    between them.

    A)The gravitational force between a planet and an object 6.4 106 m away from the
    centre of the planet is found to be 2.4 104 N. If the object has a mass of 1500 kg, calculate the approximate mass of the planet, giving the answer in standard form (two
    significant figures).
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  4. #4
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    Quote Originally Posted by smmmc View Post
    1)The gravitational force between two objects, F(N), is given by the formula
    F = 6.67 10^−11m1m2/ r^ 2
    where m1 and m2 are the mass (in kilograms) of each object and r (in metres) is the distance
    between them.

    A)The gravitational force between a planet and an object 6.4 106 m away from the
    centre of the planet is found to be 2.4 104 N. If the object has a mass of 1500 kg, calculate the approximate mass of the planet, giving the answer in standard form (two
    significant figures).
    Solve for M:

    2.4 \times 10^4 = \frac{6.67 \times 10^{-11} \times 1500 \times M}{(6.4 \times 10^6)^2}.
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