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The escape velocity of a body from the s...

The escape velocity of a body from the surface of the earth depends upon (i) the mass of the earth M, (ii) The radius of the eath R, and (iii) the gravitational constnat G. Show that `v=ksqrt((GM)/R)`, using the dimensional analysis.

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To show that the escape velocity \( v \) can be expressed as \( v = k \sqrt{\frac{GM}{R}} \) using dimensional analysis, we will follow these steps: ### Step 1: Identify the quantities involved We have three quantities that affect the escape velocity: 1. Mass of the Earth, \( M \) 2. Radius of the Earth, \( R \) 3. Gravitational constant, \( G \) ...
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