contestada

A helicopter is hovering at an altitude of 1km when a panel from its underside breaks loose and plummets to the ground. The mass of the panel is 15kg and it its the ground with a speed of 45m/s. How much mechanical energy was dissipated by air resistance during the panel’s descent?

Respuesta :

Answer:

The right answer is "131812.5".

Explanation:

The given values are:

Mass,

m = 15 kg

Velocity,

v = 45 m/s

As we know,

⇒  [tex]PE_1=mgh[/tex]

On putting the values, we get

⇒          [tex]=15\times 9.8\times 1000[/tex]

⇒          [tex]=147000 \ J[/tex]

According to the question,

[tex]KE_1=0 \ J[/tex]

[tex]PE_f=0 \ J[/tex]

⇒  [tex]KE_f=\frac{1}{2}\times 15\times 45^2[/tex]

⇒           [tex]=\frac{1}{2}\times 15\times 2025[/tex]

⇒           [tex]=15187.5 \ J[/tex]  

hence,

⇒  [tex]PE_i=KE_f+W_{air}[/tex]

or,

⇒  [tex]W_{air} = PE_i-KE_f[/tex]

⇒          [tex]=147000-15137.5[/tex]

⇒          [tex]=131812.5 \ J[/tex]

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