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7 July, 06:09

Two spheres are placed so that their centers are 2.6m apart. the force between the two spheres is 2.75*10^-12. what is the mass of each sphere if one sphere is twice the mass of the sphere?

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  1. 7 July, 09:12
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    1. To solve this problem, you must apply formula of Universal Gravitation Law, which is shown below:

    F=Gm1m2/r²

    F=2.75x10^-12

    G=6.7x10^-11

    r=2.6 m

    m2=2m1

    2. You must clear m1, as below:

    F=G (m1) (2m1) / r²

    F=G (2m1) ²/r²

    m1=√ (Fr²/2G)

    3. When you susbtitute the values into the formula m1=√ (Fr²/2G), you obtain:

    m1=√ (Fr²/2G)

    m1√0.13

    m1=0.37

    m2=2m1

    m2=2 (0.37)

    m2=0.74

    4. Therefore, the answer is:

    m1=0.37

    m2=0.74
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