Final answer:
To lift a 50 kilogram mass to a height of 8 meters in 4 seconds, approximately 1.05 horsepower is required.
Step-by-step explanation:
To calculate the horsepower required to lift a 50 kilogram mass to a height of 8 meters in 4 seconds, we need to determine the work done and then convert it to horsepower.
The work done can be calculated using the formula: work = force x distance. The force required to lift the mass is equal to its weight, which can be calculated using the formula: weight = mass x gravitational acceleration. The gravitational acceleration is approximately 9.8 m/s^2.
Substituting the values, we have: weight = 50 kg x 9.8 m/s^2 = 490 N.
The work done is then: work = 490 N x 8 m = 3920 Nm.
Finally, to convert the work to horsepower, we can use the conversion factor: 1 horsepower = 745.7 Nm/s.
So, the horsepower required is: horsepower = 3920 Nm / (4 s x 745.7 Nm/s) = 1.05 horsepower.