Answer:
The power required = 3390.9 W
Step-by-step explanation:
Power: This can be defined as the time rate of doing work. The S.I unit of power is Joules.
Mathematically it can be expressed as,
P = Work/time or
P =W×V...................... Equation 1
Where P = power, w = weight, V = velocity.
Also
V = d/t ..................... Equation 2
Where d = distance, t = time.
Conversion: d = 5ft
If 1 foot = 0.3048 meters
Then, 5 ft = 5×0.3048 meters = 1.524 m.
W = 1000 lb
If 1 lb = 4.45 N,
Then 1000 lb = 1000× 4.45 N = 4450 N.
Given: d = 1.524 m, t = 2 s.
Substituting these values into equation 2
V = 1.524/2
V = 0.762 m/s.
Also substituting into equation 1
P = 4450×0.762
P = 3390.9 W.
Thus the power required = 3390.9 W