Physics

Question

The gravitational force of attraction between Earth and the Sun
is 3.52 x 1022 newtons. Calculate the mass of the Sun. [Show all
work, including the equation and substitution with units.]

1 Answer

  • Answer:

    2.0 × 10^ 30 kg

    Explanation:

    here constants used will be mass of earth which is 6 × 10 ^ 24 kg

    distance between earth and sun is 1.50  × 10 ^ 11 m

    G = 6.67  × 10 ^ -13 N m^2 / kg^2

    formula is  F =  G m1 m2 / r^2 where F is gravitational force , G is universal gravitational constant , m1 is mass of Sun , m2 is mass of earth , r is distance between earth and sun

    making m1 as subject matter we get

    m1 = (F r^2)/(G m2)

    m1 = {3.52  × 10 ^22 N × (1.50  × 10 ^ 11 m)^2 } / ( 6.67 × 10 ^ -13 N m^2 / kg ^2 × 6 × 10 ^24 kg )

    m1 = (  3.52  × 10 ^22 × 2.25 × 10 ^22 ) / ( 4.002× 10 ^14 )   kg  

     m1 = 1.979 × 10 ^ 30 kg

    m1 = 2.0  × 10 ^ 30 kg

NEWS TODAY