A755 N diver drops from a board 10m above the water\'s surface. Findthe diver\'s

Question

A755 N diver drops from a board 10m above the water's surface. Findthe diver's speed just before striking the water.

I amconfused as to what 755 N represents (if it's his mass, how can Iconvert it into kg?) and also as to which formulae to use. I feellike I could just use vf2 = vi2 + 2ay,but we are learning about potential and kinetic energy and areusing formulae like Mechanical energyinitial =Mechanical energyfinal, Kinetic energy = 1/2mv2. Is there another way to do this problem usingformulae for PE and KE?

Please show step by step solution and all formulae used

Explanation / Answer

. 01.   PE = Potential energy =(mass)*(acceleration)*(height) 02.   KE = Kinetic energy =(1/2)*(mass)*(velocity2) . 03.   Calculate the mass of the diver: 04.      m = (755 Newtons)/(9.8m/s2) = 77.0408 kilograms 05.   PE = (755 Newtons)*(10 meters) = 7550Joules 06.   KE = (1/2)*(77.0408 kilograms)*v2 07.   Set KE = PE and solve for v 08.      (1/2)*(77.0408kg)*v2 = 7550 Joules 09.      v = { (7550Joules)*(2)/(77.0408 kg) }(1/2) = 14.00 meters/second . 07.   Set KE = PE and solve for v 08.      (1/2)*(77.0408kg)*v2 = 7550 Joules 09.      v = { (7550Joules)*(2)/(77.0408 kg) }(1/2) = 14.00 meters/second .

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