Question

what should be the power of engine required to lift 90 metric tonnes of coal per hour from a mine whose depth is 200m ?​

Answer 1

$\huge\bf{\pink{\mid{\overline{\underline{Answer-}}}\mid}}$

✍ $\large\bold{50KW}$

$\huge\bf{\pink{\mid{\overline{\underline{Explanation-}}}\mid}}$

$\rm\bold{\underline{Given:-}}$

$\large{mass = 90 \: metric \: tonnes}$

$\large{height = 200metre}$

$\rm\bold{\underline{To \:find:-}}$

power of engine to to lift 90 metric tonnes.

$\rm\bold{\underline{Solution:-}}$

mass of coal to be lifted,

$\large{m = 90 \: metric \: tonnes}$

$\large{ = > 90 \times 1000kg}$

$\large{= > 9 \times {10}^{4} kg}$

height = 200 m

time during, which the coal is lifted.

$\large{t = 1h = 60 \times 60}$

$\large{ = > 3600s}$

work done to lift the coal,

$\large\boxed{w = mgh}$

$\large{ = > (9 \times {10}^{4} )(10)(200m)}$

$\large{18 \times {10}^{7} j}$

power of the engine required i.e.

$\large\boxed{p = \frac{w}{t}}$

$\large{ = > \frac{18 \times {10}^{7} j}{3600s}}$

$\large{= > 50000w}$

$\large\boxed{50kw}$

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Answer 2

Answer:

the answer is 50 kw....pls follow me like my answer....guys