Question

A 60kg human sprinter can accelerate from rest to 10 m/s in 2.6 s. during the same time interval, a 32 kg greyhound can go from rest to 20 m/s.

a. what is the average power output of the human?

Answer 1

The average power output of a 60kg human sprinter accelerating from rest to 10 m/s in 2.6 seconds is 1153.85 Watts, which is approximately 1.55 horsepower.

Step-by-step explanation:

To calculate the average power output of the human sprinter, we first find the work done, which is the change in kinetic energy, and then divide it by the time. The kinetic energy (KE) is given by the formula KE = 1/2 × mass × velocity^2. For the 60kg sprinter accelerating to 10 m/s, the work done (change in KE) is:

KE = 1/2 × 60kg × (10 m/s)^2

KE = 3000 J (Joules)

The average power, P, is then:

P = Work done / time

P = 3000 J / 2.6 s

P = 1153.85 W (Watts)

To convert this to horsepower (hp), we use the conversion 1 hp = 746 W:

P (hp) = 1153.85 W / 746 W/hp

P (hp) = approximately 1.55 hp

Therefore, the average power output of the human during the acceleration is 1153.85 W or roughly 1.55 hp.