A 14.5 kg monkey startsto climb a long rope to reach a banana located at a heigh

Question

A 14.5 kg monkey startsto climb a long rope to reach a banana located at a height of 6.50m. The rope will snap if the tension exceeds 159.5 N. Calculate theleast amount of time the monkey could take to reach the bananawithout breaking the rope. Can i have a numerical answer? A 14.5 kg monkey startsto climb a long rope to reach a banana located at a height of 6.50m. The rope will snap if the tension exceeds 159.5 N. Calculate theleast amount of time the monkey could take to reach the bananawithout breaking the rope. Can i have a numerical answer? Can i have a numerical answer?

Explanation / Answer

there are two force on the monkey, the tension of the cord andgravity T-mg = ma =>a = T/m -g let T = 159.5N, it is max, and a will be max a = 159.5N/14.5kg - 9.8m/s2 = 1.2m/s2 the least time t is: h = (1/2)at2 =>t = (2h/a) =(2*6.50m/1.2m/s2)=3.29 s =>t = (2h/a) =(2*6.50m/1.2m/s2)=3.29 s

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