Answered: Europa is a moon of Jupitar. Europa has…

Europa is a moon of Jupitar. Europa has a mass of 4.8 × 1022kg and is 6.71 × 105km from Jupiter which has a mass of 1.9 × 1027kg . What is the force of gravity between the two?

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Question

Europa is a moon of Jupitar. Europa has a mass of 4.8 × 1022kg and is 6.71 × 105km from Jupiter which has a mass of 1.9 × 1027kg . What is the force of gravity between the two?

Expert Solution

Step 1

Newton's universal law of gravitation states that any two objects on the universe attracts each other with a magnitude of force proportional to the product of their masses and inversely proportional to the square of the distance between their centre.

So the attractive force F between the planet J and its moon is

$F = G \frac{M_{J} M_{E}}{d^{2}} \dots (1)$

where G is the gravitational constant and is equal to $6.67 \times 10^{- 11} {Nm}^{2} / {kg}^{2}$ , M_J and M_Eare the mass of the planet J and its moon respectively. The distance between their centre is d.