Escape Speed Dependencies – Rankers Physics

Gravitational Potential Energy: Practice Problem & Solution

The factors on which the escape speed from earth depend, is/are
The height of projection from the earth’s surface
Mass of object
Mass of earth
Both (1) and (3)

Solution Explained:

To solve this problem, we apply the core principles of Gravitational Potential Energy. Understanding the underlying formula is key to arriving at the correct answer below:

Escape velocity is given by \(v_e = \sqrt{\frac{2GM}{R+h}}\). It depends on the mass of the earth \(M\) and the height of projection \(h\), but is independent of the mass of the projected object.

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