Question

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
980 hp \t\t\t200 hp
1.3132 hp \t\t3.920 hp

Explanation:

Step1: Calculate Work Done

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 in Watts

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

Step3: Convert Watts to Horsepower

1 hp = 746 W, so \( \text{hp} = \frac{980}{746} \approx 1.3132\,\text{hp} \).

Answer:

1.3132 hp