A 52 kg circus performer is to slide down a rope that will snap ifthe tension ex

Question

A 52 kg circus performer is to slide down a rope that will snap ifthe tension exceeds 470 N. (a) What happens if the performer hangsstationary on the rope? 1 The rope does not break.
The ropebreaks.    

(b) At what magnitude of acceleration does the performer just avoidbreaking the rope?
2m/s2 (a) What happens if the performer hangsstationary on the rope? 1 The rope does not break.
The ropebreaks.    

(b) At what magnitude of acceleration does the performer just avoidbreaking the rope?
2m/s2 1 The rope does not break.
The ropebreaks.    
1 The rope does not break.
The ropebreaks.    
1

Explanation / Answer

a) find the weight of the perfprmer and compare it to the maxtension of 470 N W = mg = (52)(9.8) = 509.6 N hi weight is greater than the maximum tension allowed, so therope will break b) use this equaiotn and solve for a, Fnet = ma the net force is his weight minus the tension            Fnet = ma 509.6 - 470 = 52a                 a = 0.76 m/s2

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