Question

A man is moving with high velocity of 30m/s determine the total mechanical energy of the man weighing 60 kg, if it's on a high of 50m at the speed?

Answer 1

Answer:

A machine makes a man weighing 60 kg move with a high velocity of 30m/s. calculate the total

mechanical energy of the man if he at height of 50m at this speed.

Answer 2

Given:

• Mass of man = 60 kg
• Velocity of man = 30 m/s
• Height at which he is present = 50 metres

To find:

• Total mechanical energy ?

Calculation:

Total mechanical energy possessed by the body will be the sum total of kinetic energy and potential energy of the object.

$TE = PE + KE$

• PE can be written as m × g × h
• KE can be written as ½mv²

$\implies TE = mgh + \dfrac{1}{2} m {v}^{2}$

$\implies TE = m(gh+ \dfrac{1}{2} {v}^{2} )$

$\implies TE = 60 \{10 \times 50+ \dfrac{1}{2} {(30)}^{2} \}$

$\implies TE = 60 \{500+ 450 \}$

$\implies TE = 60 \times 950$

$\implies TE = 57000 \: joule$

So, total energy of the body is 57000 Joules