Question

A helicopter (m = 3250 kg) is cruising at a speed of 56.9 m/s atan altitude of 185 m. What is the total mechanical energy of thehelicopter?A) 6.91 x 107 JB) 5.26 x 107 JC) 1.12x 108 JD) 2.27 x 108 JE) 3.91 x 107 J

Answer 1

The mechanical energy of the helicopter is
`1.12* 10^7\ J`.

Step-by-step 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 :

`E=(1)/(2)mv^2`

`E=(1)/(2)* 3250* (56.9)^2`

`E=5.26* 10^6\ J`

The energy possessed by an object due to its position is called its potential energy. It is given by :

`E=mgh`

`E=3250* 9.8* 185`

`E=5.89* 10^6\ J`

The sum of kinetic and potential energy is called mechanical energy of the system. It is given by :

`M=5.26* 10^6+5.89* 10^6`

`M=11.15* 10^6\ J`

or

`M=1.12* 10^7\ J`

So, the mechanical energy of the helicopter is
`1.12* 10^7\ J`. Hence, this is the required solution.