Power, Work, and Water Pumping

The video tutorial explains the power of a motor pump, initially given in kilowatts, and how to convert it to watts. It further elaborates on understanding power as joules per second. The problem involves calculating how much water a pump can raise to a height of 10 meters in one minute, given the power and gravitational acceleration. The tutorial covers the formula for work done against gravity (mgh) and demonstrates solving for the mass of water raised by the pump.

What is the power of the motor pump in watts if it is given as 2 kilowatts?

• 1000 watts

• 2000 watts

• 4000 watts

• 3000 watts

How is power defined in terms of work and time?

• Power is the sum of work and time

• Power is the rate of doing work

• Power is the difference between work and time

• Power is the product of work and time

What is the formula for work done against gravity?

• W = gmh

• W = mh/g

• W = mgh

• W = mg/h

In the context of the problem, what does 'm' represent in the formula W = mgh?

• Mass of the tank

• Mass of the air

• Mass of the pump

• Mass of the water

What is the value of acceleration due to gravity used in the problem?

• 9.8 m/s²

• 10 m/s²

• 10.5 m/s²

• 9.6 m/s²

What is the formula derived to calculate the mass of water raised by the pump?

• m = (p * t * g) / h

• m = (p * g * h) / t

• m = p / (t * g * h)

• m = p * t / (g * h)

What is the SI unit of power?

• Pascal

• Joule

• Watt

• Newton

How much water in kilograms is raised by the pump to a height of 10 meters in one minute?

• 1000 kg

• 1200 kg

• 1500 kg

• 2000 kg

What is the height to which the pump raises the water?

• 20 meters

• 15 meters

• 10 meters

• 5 meters

How many seconds are there in one minute, as used in the problem?

• 30 seconds

• 45 seconds

• 60 seconds

• 90 seconds