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March 26, 2017

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A 170 pound man has to slide down a rope that can only support 150 pounds. How long will it take him to reach the ground 35 feet below if he keeps the rope from breaking?

  • Physics - ,

    To barely avoid breaking the rope, he needs to apply a force of 150 lb to the rope. There will be a net 20 lb downward force on him and he will accelerate downward at a rate
    a = Fnet/m = 20/(170/g)= 0.1176 g
    = 3.79 ft/s^2

    The time to slide L = 35 ft down the rope will be
    t = sqrt(2L/a)= 4.3 seconds

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