To what height can a 400 W engine lift a 100 kg mass in 3s? (h= 1.22 m) 



Given:

Power of the engine = 400 W
Mass of the engine = m = 100 kg
Time = t = 3 s 
Value of g = 9.8 ms⁻²

To Find:

Height  = h = ?


Solution:

Using the formula of Power

P =  Wt  ------------(1)

But work done = W = Gain in P.E. = mgh, So,

P =  mght 

Or 

h =  Ptmg 

putting values

h =  400Wｘ3s100kgｘ9.8ms⁻²      [W (watt) = kg m² s⁻³]


h = 1.22 m ------------------Ans


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