Chapter - 3 Gravitation

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Q
Gravitation

Question:

Calculate the force of gravitation between the earth and the Sun, given that the mass of the earth =6 	imes 10^{24} kg and of the Sun = 2 	imes 10^{30} kg. The average distance between the two is 1.5 	imes 10^{11} m

Answer:

Given: 

Mass of the earth, m_e = 6 	imes 10^{24} kg

Mass of the Sun, m_s = 2 	imes 10^{30} kg

Average distance, r = 1.5 	imes 10^{11} m

Gravitational Constant, G = 6.67 	imes 10^{-11} Nm^2kg^{-2}

Using the Universal law of gravitation,

F = Gfrac{m_1m_2}{r^2}

F = 6.67 	imes 10^{-11} 	imes frac{6 	imes 10^{24} 	imes 2 	imes 10^{30}}{(1.5	imes 10^{11})^2}

F = 3.56 	imes 10^{22} N


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