Final answer:
The average power output of the dragster is calculated by summing the kinetic energy and work done against friction, then dividing by time. It is approximately 18,500 W or 24.79 hp.
Step-by-step explanation:
The calculation of average power output for a dragster involves determining the work done and dividing it by the time taken. The work done by the dragster is the sum of the work done against friction and the kinetic energy gained. To find the total work done, we calculate the kinetic energy (KE) using the formula KE = 0.5 × mass × velocity^2 and the work done against friction using work = force × distance. For the given dragster, kinetic energy is KE = 0.5 × 500kg × (110m/s)^2 and work against friction is work = 1200N × 400m.
Adding those, and then dividing by the time gives us the average power in watts. To convert watts to horsepower, we use the conversion factor 1 hp = 746 W.
Substituting the given values, the average power output in watts is found to be approximately 18,500 W, and in horsepower it is approximately 24.79 hp. Hence, the correct answer is (a) 18500 W, 24.79 hp.