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Classical Mechanics Level 3

Derive an equation for escape velocity and calculate the escape velocity of our Sun.

\( F= G \cdot \dfrac{m_1 \times m_2}{x^2} \), where \(F\) is the gravitational force experienced by two bodies with masses \(m_1\) and \(m_2\) and \(x\) is the distance between them.

Details and Assumptions:

  • \(G = 6.67408 \times 10^{-11} \text{ m}^3 \text{ kg}^{-1} \text{ s}^{-2} \).

  • Mass of the sun is \(2\times10^{30} \text{ kg} \).

  • Radius of the sun is \(696.3 \times10^6 \text{ m} \).


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