Answer:
3.38061 seconds
Explanation:
m = Mass of monkey = 15 kg
g = Acceleration due to gravity = 9.81 m/s²
a = Acceleration
u = Initial velocity
s = Displacement = 6.8 m
t = Time taken
The tension is given by
[tex]T=m(g+a)\\\Rightarrow a=\frac{T-mg}{m}\\\Rightarrow a=\frac{165-15\times 9.81}{15}\\\Rightarrow a=1.19\ m/s^2[/tex]
From equation of linear motion
[tex]s=ut+\frac{1}{2}at^2\\\Rightarrow 6.8=0t+\frac{1}{2}\times 1.19\times t^2\\\Rightarrow t=\sqrt{\frac{6.8\times 2}{1.19}}\\\Rightarrow t=3.38061\ s[/tex]
The time taken to reach the banana without breaking the rope is 3.38061 seconds
