Answer:3.01 m
Explanation:
Given
initial speed[tex](v_i)=5 m/s[/tex]
inclination [tex]=25^{\circ}[/tex]
mass of monkey and Sledge=18 kg
coefficient of kinetic Friction [tex]\mu_k=0.2 [/tex]
Work done=Change in kinetic Energy+Change in Potential Energy
[tex]W.D.=\mu _k mg\cos \theta [/tex](angle between force and displacement is 180)
[tex]W.D.=0.2\times 18\times 9.8\times s\times \cos (180)[/tex]
[tex]0.2\times 18\times 9.8\times s\times \cos (180)=(k.E._f-K.E._i)+(P.E._f-P.E._i)[/tex]
[tex]0.2\times 18\times 9.8\times s\times \cos (180)=0-\frac{mv_i^2}{2}+mgs\sin 25[/tex]
[tex]-s(0.2\times 18\times 9.8+mg\sin 25)=-\frac{mv_i^2}{2}[/tex]
s=3.01 m
