At a construction site a crane lift a steel beam with a mass of 330 KG iii. while it is being lifted the steel beam is at a height of 20 m and is moving with the speed of 1.3 m/s,the total mechanical energy of the steel beam at this moment would be 65024.85 Joules.
What is mechanical energy?
Mechanical energy is the combination of all the energy in motion represented by total kinetic energy and the total potential energy stored energy in the system which is represented by total potential energy.
As total mechanical energy is the sum of all the kinetic as well potential energy stored in the system.
ME = KE + PE
The total kinetic energy of blue green would be
KE = 1/2*m*v²
KE = 0.5*330*1.3²
KE = 278.85 Joules
Similarly the total potential energy of the crane lift would be
PE = m*g*h
PE = 330*9.81*20
PE = 64746 Joules
As we know that the total mechanical energy of the system at a given moment is the sum of the total kinetic energy added to the total potential energy therefore The total mechanical energy of the crane lift at this moment would be
ME = 278.85 + 64746
ME =65024.85
Thus, the total mechanical energy of the steel beam at this moment would be 65024.85 Joules.
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