Respuesta :
Answer:
The mechanical energy of the helicopter is [tex]1.12\times 10^7\ J[/tex].
Explanation:
It is given that,
Mass of the helicopter, m = 3250 kg
Speed of the helicopter, v = 56.9 m/s
Position of the helicopter, h = 185 m
The energy possessed by an object due to its motion is called its kinetic energy. It is given by :
[tex]E=\dfrac{1}{2}mv^2[/tex]
[tex]E=\dfrac{1}{2}\times 3250\times (56.9)^2[/tex]
[tex]E=5.26\times 10^6\ J[/tex]
The energy possessed by an object due to its position is called its potential energy. It is given by :
[tex]E=mgh[/tex]
[tex]E=3250\times 9.8\times 185[/tex]
[tex]E=5.89\times 10^6\ J[/tex]
The sum of kinetic and potential energy is called mechanical energy of the system. It is given by :
[tex]M=5.26\times 10^6+5.89\times 10^6[/tex]
[tex]M=11.15\times 10^6\ J[/tex]
or
[tex]M=1.12\times 10^7\ J[/tex]
So, the mechanical energy of the helicopter is [tex]1.12\times 10^7\ J[/tex]. Hence, this is the required solution.
