Question

The mass of the sun is 1.99×1030kg and its distance to the earth is 1.50×1011m. What is the gravitational force of the sun on the earth?

Answer 1

Answer:
`3.524(10)^(22)N`

Step-by-step explanation:

According to Newton's law of Gravitation, the force
`F` exerted between two bodies of masses
`m1` and
`m2` and separated by a distance
`r` is equal to the product of their masses and inversely proportional to the square of the distance:

`F=G((m1)(m2))/(r^2)` (1)

Where:

`G` is the Gravitational Constant and its value is
`6.674(10)^(-11)(m^(3))/(kgs^(2))`

`m1=1.99(10)^(30)kg` is the mass of the Sun

`m2=5.972(10)^(24)kg` is the mass of the Earth

`r=1.50(10)^(11)m` is the distance between the Sun and the Earth

Substituting the values in (1):

`F=6.674(10)^(-11)(m^(3))/(kgs^(2))((1.99(10)^(30)kg)(5.972(10)^(24)kg))/((1.50(10)^(11)m)^2)` (2)

Finally:

`F=3.524(10)^(22)N` This is the gravitational force of the Sun on the Earth.