an engine was used to lift up a load of 200kg to a platform 40m high in 20sec. calculate the power out put by the engine (take g =100n /kg).
Are you sure about that value of g? The actual value is 9.8 N/kg. I'll bet you forgot a decimal point.
Anyway, the power required (in Watts) is M g H/(20 seconds)
If M is in kg and H is the height in meters.
Pay more attention to spelling and capitalization. The symbol for Newtons is N, not n. "n" represents a neutron. You also misspelled the subject.
To calculate the power output of the engine, we need to use the equation:
Power = Work / Time
First, let's calculate the work done by the engine. In this case, work is equal to the force applied to lift the load multiplied by the distance it is lifted:
Work = Force * Distance
The force can be calculated using the formula:
Force = mass * gravity
Given:
Mass of the load (m) = 200 kg
Gravity (g) = 100 N/kg
Distance (d) = 40 m
Time (t) = 20 sec
Let's calculate the force first:
Force = m * g
Force = 200 kg * 100 N/kg
Force = 20,000 N
Now we can calculate the work done:
Work = Force * Distance
Work = 20,000 N * 40 m
Work = 800,000 J (Joules)
Finally, substitute the values into the power formula to find the power output of the engine:
Power = Work / Time
Power = 800,000 J / 20 sec
Power = 40,000 W (Watts)
Therefore, the power output of the engine is 40,000 Watts.
To calculate the power output of the engine, we need to use the formula:
Power = Work / Time
Given values:
Mass of load (m) = 200 kg
Height lifted (h) = 40 m
Time taken (t) = 20 sec
Acceleration due to gravity (g) = 100 N/kg
First, we need to calculate the work done by the engine in lifting the load. The formula to calculate work is:
Work = Force x Distance
The force in this case is the weight of the load, which can be calculated using the formula:
Force = Mass x Acceleration due to gravity
Force = 200 kg x 100 N/kg = 20,000 N
Now, we can calculate the work done by the engine:
Work = Force x Distance = 20,000 N x 40 m = 800,000 N∙m (or Joules)
Finally, substitute the values into the power formula:
Power = Work / Time = 800,000 N∙m / 20 sec = 40,000 Watts (or 40 kW)
Therefore, the power output by the engine is 40,000 Watts (or 40 kW).