A car weighing 5,500kg travels at a speed of 55km/h up a 15m hill. What is its mechanical energy? Hint: In order to answer this

Question

3 years ago

6

question, you need to find the PE and KE first.

1 answer:

Leya [2.2K] · Answer 1 · 2022-09-25T15:10:48+03:00

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:

$K.E = \frac{1}{2} mv^2\\\\K.E = 0.5 \times 5500\times (15.278)^2\\\\K.E = 641,897.53 \ J$

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