Answer:
160 watts
Step-by-step explanation:
To calculate the power of the pump required to lift 160kg of water through a vertical height of 3m in 30 seconds, we can use the formula:
Power = Work done / Time taken
Work done = force x distance
The force required to lift the water is equal to its weight, which is:
Force = mass x gravity = 160 kg x 10 m/s^2 = 1600 N
The distance the water is lifted is 3m.
Therefore, work done = Force x distance = 1600 N x 3 m = 4800 J
The time taken is 30 seconds.
Now we can substitute these values into the formula for power:
Power = Work done / Time taken = 4800 J / 30 s = 160 W
Therefore, the power required to lift 160kg of water through a vertical height of 3m in 30 seconds is 160 watts.