Question

Multiple-Concept Example 13 presents useful background for this problem. The cheetah is one of the fastest accelerating animals, for it can go from rest to 30.4 m/s in 5.40 s. If its mass is 108 kg, determine the average power developed by the cheetah during the acceleration phase of its motion. Express your answer in (a) watts and (b) horsepower.

Answer 1

9241.6 W or 12.39318 hp

Step-by-step explanation:

u = Initial velocity = 0

v = Final velocity

m = Mass

t = Time taken

Energy

`KE=(1)/(2)m(v^2-u^2)\\\Rightarrow KE=(1)/(2)108(30.4^2-0^2)\\\Rightarrow KE=49904.64\ Joules`

Power

`P=(KE)/(t)\\\Rightarrow P=(49904.64)/(5.4)\\\Rightarrow P=9241.6\ W`

Converting to hp

`1\ W=(1)/(745.7)\ hp`

`\\\Rightarrow 9241.6\ W=(9241.6)/(745.7)\ hp=12.39318\ hp`

The power developed by the cheetah is 9241.6 W or 12.39318 hp