Work Energy and Power

Practice Questions:

Question 1: difficult

A pump motor is used to deliver water at a certain rate from a given pipe. To obtain “2” time water from the same pipe in the same time, the amount to which the power of the motor should be increased is :

1. 4

2. 8

3. 16

4. √2

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Force on water coming out is F= ρAv² and Power P=F.v

So, Power = F.v= ρAv³,

if v becomes 2v, Power P1= 8P

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Question 2: difficult

If Potential energy is given by U = (x³ + y³ + z²). Calculate force at a point (3, 2, 1) :

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