Question

How long will it take an electric motor of power output 25kw to lift a mass of 1000kg through 20m?

Answer 1

7.85s

Step-by-step explanation:

Time(t)= Power(P) / Work(W)

WORK DONE: W=Force×Distance

FORCE: F=m×g

F=1000kg×9.81m/s²=9810N

W=9810N×20m=196,200Joules

t= 196,200Joules / 25,000Watts

25kW=25,000W

t= 196,200Joules / 25,000Watts

​ =7.85seconds

​

Answer 2

To find the time it will take for the electric motor to lift a mass of 1000kg through 20m, we can use the formula Time = Work / Power. By calculating the force, work, and power of the motor, we find that it will take approximately 7.84 seconds.

Step-by-step explanation:

To find the time it will take for the electric motor to lift a mass of 1000kg through 20m, we need to use the formula:

Time = Work / Power

The work done by the motor can be calculated using:

Work = Force × Distance

The force can be calculated using:

Force = Mass × Acceleration due to gravity (9.8 m/s²)

Given that the power output is 25 kW, we can convert it to watts by multiplying by 1000:

Power (in watts) = 25,000 watts

Now we can substitute the values into the equations:

1. Force = 1000 kg × 9.8 m/s² = 9800 N
2. Work = 9800 N × 20 m = 196,000 J
3. Time = 196,000 J / 25,000 W = 7.84 seconds

Therefore, it will take approximately 7.84 seconds for the electric motor to lift the 1000kg mass through 20m.

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