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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?

User Eignhpants
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1 Answer

2 votes

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.

User Tls Chris
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