Answer:
5.791244495 KNm
Explanation:
The height h is given by, [tex]h=42.6sin42.3^{o}[/tex]
Potential energy, PE is given by
PE=mgh where m is mass of the woman, g is acceleration due to gravity whose value is taken as [tex]9.81 m/s^{2}[/tex] and h is already given hence substituting 77 Kg for m we obtain
[tex]PE=77*9.81*42.6sin42.3^{o}=21656.7095 Nm[/tex]
PE=21.6567095 KNm
We also know that Kinetic energy is given by[tex] 0.5mv^{2}[/tex] where v is the velocity and substituting v for 20.3 we obtain
[tex]KE=0.5*77*20.3^{2}=15865.465 Nm[/tex]
KE=15.865465 KNm
Friction work is the difference between PE and KE hence
Friction work=21.6567095 KNm-15865.465 Nm=5.791244495 KNm
