Question

An object is falling freely under the gravitational force. Its velocity after travelling a distance h is v. If v depends upon gravitational acceleration g and distance,prove with dimensional analysis that v=k_/gh where k is a constant

Answer 1

Answer:

v = k√gh

Explanation:

An object is falling freely under the gravitational force. Its velocity after traveling a distance h is v.

object is falling freely  

=> initial velocity = 0

velocity after traveling a distance h is v

=> S = h

V = v

a = g

using V² - U² = 2aS

=> v² - 0 = 2gh

=> v = √2gh

=> v = √2√gh

=> v = k√gh  where k = √2 Constant

Answer 2

Explanation:

refer the attachment

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