Respuesta :
Answer:
h = 3.10 m
Explanation:
As we know that after each bounce it will lose its 11% of energy
So remaining energy after each bounce is 89%
so let say its initial energy is E
so after first bounce the energy is
[tex]E_1 = 0.89 E[/tex]
after 2nd bounce the energy is
[tex]E_2 = 0.89(0.89 E)[/tex]
After third bounce the energy is
[tex]E_3 = (0.89)(0.89)(0.89)E[/tex]
here initial energy is given as
[tex]E = mgH_o[/tex]
now let say final height is "h" so after third bounce the energy is given as
[tex]E_3 = mgh[/tex]
now from above equation we have
[tex]mgh = (0.89)(0.89)(0.89)(mgH)[/tex]
[tex]h = 0.705H[/tex]
[tex]h = 0.705(4.4 m)[/tex]
[tex]h = 3.10 m[/tex]
