Suppose you find yourself in your friend\'s third floor apartment building when
ID: 1697482 • Letter: S
Question
Suppose you find yourself in your friend's third floor apartment building when you smell smoke coming from outside the door. you open the door an see nothing but flames protruding from the hallway. Realizing that your only means of escape is through the window of the apartment, your freind agrees to donate many pairs of nylons which you tie together to form a makeshift rope. this nylon rope(no pun intended) can withstand a maximum tension of 500 N without breaking. you have a mass of 70Kg on this particular day.a) why can't you slide down the rope at a near constant speeed?
b) What is the smallest prssible acceleration you must achieve in order to slide down the rope without it breaking? ans:2.9m/s square
Explanation / Answer
given data:
the max tension on rope, T = 500 N
mass of boy( or me) = 70 kg
(a) if i slide down with a constant speed then the resultant acceleration is zero.
the tension on the string is T = mg
T = 70*10 = 700 N (g=10 m/s^2)
hence the rope is breaking.
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(b) the smalest possible acceleration ,
the breaking tension equals to the apparent weight of the boy (me)
T (max) = mg - ma (a= downward accelaration)
500 = 700 -70*a
a = 2.85 m/s^2
the smallest prssible acceleration you must achieve in order to slide down the rope without it breaking is 2.85 m/s^2.
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