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21 October, 02:27

A bowling ball (mass = 7.2 kg, radius = 0.11 m) and a billiard ball (mass = 0.38 kg, radius = 0.028 m) may each be treated as uniform spheres. What is the magnitude of the maximum gravitational force that each can exert on the other?

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  1. 21 October, 02:38
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    Given that

    Mass of bowling ball M1=7.2kg

    The radius of bowling ball r1=0.11m

    Mass of billiard ball M2=0.38kg

    The radius of the Billiard ball r2=0.028m

    Gravitational constant

    G=6.67*10^-11Nm²/kg²

    The magnitude of their distance apart is given as

    r=r1+r2

    r=0.028+0.11

    r=0.138m

    Then, gravitational force is given as

    F=GM1M2/r²

    F=6.67*10^-11*7.2*0.38/0.138²

    F=9.58*10^-9N

    The force of attraction between the two balls is

    F=9.58*10^-9N
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