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A monkey of mass 40kg climbs up a rope of breaking load 600N hanging from a ceiling.if it climbs up the rope with maximum possible acceleration,then find the time taken by the monkey to climb up(length of the rope 10m) (a)2secs (b)1secs (c)3secs (d)4secs

Asked by 30th March 2013, 10:14 AM
Answered by Expert
Answer:

Mass of the monkey, m = 40 kg

Acceleration due to gravity, g = 10 m/s

Maximum tension that the rope can bear, Tmax = 600 N

Using Newtons second law of motion, we can write the equation of motion as:

T  mg = ma

?T = m(g + a)

600 = 40(10+a)
a =5m/s2
 time taken by the monkey to climb up(length of the rope 10m.
s =ut + 1/2 at
10 = 0xt +1/2 X5 xt2
t2 = 4
t= 2 sec
 
 

Answered by Expert 30th March 2013, 11:25 AM
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