Respuesta :
Answer:
h' = 2.5 m
Explanation:
combine mass of Tarzan and Jane, M= 130 Kg
height of vine = 5 m
angle made with horizontal = 30°
mass of Jane , m= 50 Kg
angle made with vertical = 60°
cos 60° = x/5
x = 5 x 0.5
x = 2.5 m
h = 5 - 2.5 = 2.5 m
using conservation of energy
mechanical energy is converted into kinetic energy
[tex]M g h = \dfrac{1}{2}(M)v^2[/tex]
[tex]v = \sqrt{2gh}[/tex]
[tex]v = \sqrt{2\times 9.8 \times 2.5}[/tex]
v = 7 m/s
total energy when Jane leaves
Total energy =[tex]\dfrac{1}{2}Mv^2- \dfrac{1}{2}mv^2[/tex]
Total energy =[tex]\dfrac{1}{2}\times 130 \times 7^2- \dfrac{1}{2}\times 50 \times 7^2[/tex]
Total energy =1960 J
now,
maximum height attain by the Tarzan
m' g h' = total energy
80 x 9.8 x h' = 1960
h' = 2.5 m
