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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»

v = K√ghExplanation: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 = hV = va = g USING V² - U² = 2aS=> v² - 0 = 2gh=> v = √2gh=> v = √2√gh=> v = k√gh  where k = √2 Constant



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