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An engine generates a power of 10 kW. In how much time will it raise a mass of 200 kg through a height of 40m.
  • a)
    4 sec
  • b)
    10 sec
  • c)
    5 sec
  • d)
    8 sec
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
An engine generates a power of 10 kW. In how much time will it raise a...
Power = work done / time 
work = force x distance 
so power = (force x distance) / time 
time = (force x distance) / power 
= (2000 N x 40m) / 10000W = 8 seconds
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Most Upvoted Answer
An engine generates a power of 10 kW. In how much time will it raise a...
Power = work done / time 


work = force x distance 


so power = (force x distance) / time 


time = (force x distance) / power 


= (2000 N x 40m) / 10000W = 8 seconds

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Community Answer
An engine generates a power of 10 kW. In how much time will it raise a...
Given data:
- Power generated by the engine = 10 kW
- Mass of the object to be raised = 200 kg
- Height to be raised = 40 m

Formula to calculate work done:
- Work done = Power x Time
- Work done = Force x Distance
- Work done = Mass x Acceleration x Distance
- Acceleration = g (acceleration due to gravity, approximately 9.8 m/s^2)

Calculations:
- Work done = Force x Distance
- Power = Work done / Time
- Time = Work done / Power
- Work done = Mass x g x Height
- Work done = 200 kg x 9.8 m/s^2 x 40 m
- Work done = 78400 J
- Power = 10 kW = 10000 W
- Time = 78400 J / 10000 W
- Time = 7.84 s
- Rounding off to the nearest whole number, Time = 8 sec
Therefore, the engine will raise a mass of 200 kg through a height of 40m in 8 seconds. So, the correct answer is option 'D' - 8 sec.
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