pls help in this ques
Answers
We know that Potential energy is the energy possessed by the body because of its position.
⇒ As the water is falling from a height, it has potential energy.
⇒ The Potential energy of water rotates the turbine.
As the water is pouring down at a rate of 100 kg/sec, let us calculate the potential energy of 100 kg of water pouring down from a height of 100 m.
We know that Potential energy of body at height 'h' and having mass 'm' is mgh
⇒ Potential energy of 100 kg of water pouring down from a height of 100 m is:
= 100kg × 9.8m/s² × 100m = 98000 Joules.
⇒ As the water is pouring down at 100kg/sec, the potential energy of 98000 joules is powering the turbine in one second.
we know that work done per unit time is power.
In this situation, the potential energy of 98000 joules is powering the turbine in one second, that means 98000 joules of work is done on the turbine in one second.
⇒ The power delivered to the turbine is 98000 joules per second
⇒ The power delivered to the turbine is 98000 watt
⇒ The power delivered to the turbine is 98kW.