Question

how much horsepower (hp) is required to lift a 50-kilogram mass to a height of 8 meters in 4 seconds? answer options: select one of four 1.3132 hp 980 hp 200 hp 3,920 hp

Explanation:

Step1: Calculate work done (W)

Work \( W = mgh \), where \( m = 50 \, \text{kg} \), \( g = 9.8 \, \text{m/s}^2 \), \( h = 8 \, \text{m} \).
\( W = 50 \times 9.8 \times 8 = 3920 \, \text{J} \).

Step2: Calculate power (P) in watts

Power \( P = \frac{W}{t} \), \( t = 4 \, \text{s} \).
\( P = \frac{3920}{4} = 980 \, \text{W} \).

Step3: Convert watts to horsepower (hp)

1 hp = 745.7 W, so \( \text{hp} = \frac{980}{745.7} \approx 1.3132 \, \text{hp} \).

Answer:

1.3132 hp