The mechanical energy of the train is 1,451,222.53 J
The given parameters:
mass of the car, m = 5500 kg
speed of the car, v = 55 km/h = 15.278 m/s
height of the hill, h = 15 m
To find:
The mechanical energy of the train = kinetic energy + potential energy
The kinetic energy (KE) at the train at bottom hill is calculated as:
[tex]K.E = \frac{1}{2} mv^2\\\\K.E = 0.5 \times 5500\times (15.278)^2\\\\K.E = 641,897.53 \ J[/tex]
The potential energy (P.E) of the train on top hill is calculated as:
P.E = mgh
P.E = 5500 x 9.81 x 15
P.E = 809,325 J
The mechanical energy of the train = K.E + P.E
The mechanical energy of the train = 641,897.53 J + 809,325 J
The mechanical energy of the train = 1,451,222.53 J
Thus, the mechanical energy of the train is 1,451,222.53 J
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