# physics

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How much would the rope stretch to break the climber's fall if he free falls 2m before the rope runs out of slack? k=1.40x10^4N//m
mass of man= 90 kg
I forgot how to use conservation of energy for this. I tried it, but I did it wrong.

• physics -

x = 1/2*g*t^2 = 2 = 4.9*t^2

Solve for t, the time then solve for the climber's speed v using

v = 9.8*t

1/2*m*v^2 = 1/2*k*xstretch^2; where xstretch is the amount that the rope will stretch

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