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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 is equal to

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To find the escape velocity of a body from the surface of the Earth, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Formula for Escape Velocity**: The escape velocity (v) from the surface of a planet is given by the formula: \[ v = \sqrt{2gr} ...
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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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Knowledge Check

  • The escape velocity from the surface of the earth is (where R_(E) is the radius of the earth )

    A
    `sqrt(2gR_(E))`
    B
    `sqrt(gR_(E))`
    C
    `2sqrt(gR_(E))`
    D
    `sqrt(3gR_(E))`

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