A old rope can only suspend 120 Kg. When the rope is tied to a beam, it hangs down with a vertical length of 12.0 m.
Calculate the minimum time required for an 85 kg person starting from rest to climb the entire length of the rope without breaking it.
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The maximum Force that rope can sustain `= 120*9.81 = 1180N` .
So the maximum pull that the man can applied on the rope is 1180N.
Using `uarrF = ma`
`1180-85*9.81 = 85*a`
` a = 4.07m/s^2 `
The man climbs 12m upwards.
`uarr S = ut+1/2*a*t^2`
Since the man starts climbing from rest u = 0
`12 = 0+1/2*4.07*t^2`
` t = 2.43s`
So the minimum time the man should climb is 2.43 seconds.
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