Question

A machine is able to lift a mass of 200 kg vertically up to height of 30 m above ground in 50 seconds. Power of machine is

Answer 1

Power = work / time 

Work = Force x Distance 
Work = (9.8 * 200) * (30) = 5.9 x 10^4 J 

Power = (5.9 x 10^4 J) / (50 s) = 1.2 x 10^3 watts 

I left off the units when calculating work for simplicity, and you may wish more decimal places than I have included.

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Answer 2

Given :

Mass (m) = 200 Kg

Height (H) = 30 m

Time taken (T) = 50 sec

To Find :

Power of machine

Solution :

Force acting on the mass = mass (m) × Acceleration due to gravity (g)

                                          =   200 × 10 = 2000 N

Work done to lift the mass to a height of 30 m = Force × Displacement  

                                                                             =  2000 × 30

                                                                             =  60000 J

∴ Power of the machine = $\frac{Work Done}{Time}$

                                         =  $\frac{60000}{50}$

                                         =  1200 W

Therefore, the power of the machine is 1200 W.