Practice & Test Work, Energy and Power

Match the following types of forces with their associated work done properties: Column I (Force Type) A. Conservative Force B. Non-Conservative Force Column II (Work Done Property) 1. Work done depends on the path taken. 2. Work done in a closed loop is zero. 3. Work done converts mechanical energy into other forms like heat. 4. Work done is independent of the path taken. Choose the correct match:

A motor pump lifts water from a depth of 10 m and delivers it through a pipe of cross-sectional area $10^{-2} \text{ m}^2$ with a speed of $10 \text{ m/s}$. The power of the pump required is $x \times 10^3 \text{ W}$. Find $x$. (Take $g = 10 \text{ m/s}^2$ and density of water $= 1000 \text{ kg/m}^3$)

Consider the following statements regarding work-energy theorem: Statement I: The work-energy theorem states that the change in kinetic energy of a particle is equal to the net work done on it by all forces. Statement II: The work-energy theorem is valid for both conservative and non-conservative forces.