This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
To find the power of the pump, we need to calculate the work done in lifting the water and then divide it by the time taken. Step 1: Convert all given values to SI units. • Mass (m) = 5000 kg (already in SI units) • Vertical height (h) = 60 in Since 1 inch = 0.0254 meters: h = 60 in × 0.0254 m/in = 1.524 m • Time (t) = 15 mins Since 1 minute = 60 seconds: t = 15 mins × 60 s/min = 900 s • Acceleration due to gravity (g) = 9.8 m/s^2 (standard value) Step 2: Calculate the work done (W) by the pump. The work done in lifting the water is equal to the gravitational potential energy gained by the water. W = mgh W = 5000 kg × 9.8 m/s^2 × 1.524 m W = 74676 J Step 3: Calculate the power (P) of the pump. Power is the rate at which work is done. P = (W)/(t) P = 74676 J900 s P ≈ 82.973 W Rounding to three significant figures: P ≈ 83.0 W The power of the pump is: 83.0 W Send me the next one 📸