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a stone is dropped from a tower of 500 m height in to pond of water at the base of the tower. when is the splash heard at the top? [g = 10m/sec sq and speed of sound 340m/sec]

Asked by leean 13th March 2015, 6:10 PM
Answered by Expert

Hi Leean,

Given that h = 500 m , g = 10 m/s2 , speed of sound = 340 m/s

Let t1 be the time taken by the stone to reach the water surface

begin mathsize 14px style According space to space equation space of space motion colon straight s space equals space ut plus 1 half gt subscript 1 squared straight u space equals 0 straight s equals space 500 space straight m straight s equals 1 half gt subscript 1 squared 500 space equals 1 half cross times 10 cross times straight t subscript 1 squared straight t subscript 1 space equals square root of 1000 over 10 end root equals 10 space sec Let space straight t subscript 2 space be space the space time space taken space by space the space sound space to space travel space from space the space water space surface space to space the space top straight t subscript 2 space equals fraction numerator 500 straight m over denominator 340 straight m divided by straight s end fraction equals 1.47 space sec Therefore space the space sound space is space heard space at colon open parentheses straight t subscript 1 space plus space straight t subscript 2 close parentheses sec space equals 11.47 space sec end style

Answered by Expert 13th March 2015, 6:30 PM
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