Question

If we choose velocity \(V\), length \(L\) and force \(F\) as fundamental physical quantities, then how would you express power in terms of \(V\), \(L\) and \(F\)?

• A. \(F^1L^0V^1\)
• B. \(F^1L^{-1}V^1\)
• C. \(F^1L^{-1}V^2\)
• D. \(F^1L^{-2}V^3\)

Hint:

Power can be written as \(P=FV\), because power is force multiplied by velocity.

Answer 1

The Correct Option is A

Concept:
Power is the rate of doing work. Work is defined as force multiplied by displacement.

Step 1: Formula for work is: \[ W=F\times L \]

Step 2: Power is work done per unit time: \[ P=\frac{W}{t} \]

Step 3: Substitute \(W=FL\): \[ P=\frac{FL}{t} \]

Step 4: Velocity is: \[ V=\frac{L}{t} \]

Step 5: Therefore: \[ P=F\cdot V \]

Step 6: In terms of \(F,L,V\): \[ P=F^1L^0V^1 \] \[ \boxed{F^1L^0V^1} \]