Answer:
8159 W, 10.9 hp
Explanation:
The work done by the cheetah is equal to the kinetic energy gained, so we can write:
[tex]W=\Delta K=\frac{1}{2}mv^2-\frac{1}{2}mu^2[/tex]
where
m = 101 kg is the mass of the cheetah
u = 0 is the initial speed
v = 29.4 m/s is the final speed
Substituting,
[tex]W=\frac{1}{2}(101)(29.4)^2-0=43650 J[/tex]
Now we can calculate the power developed by the cheetah, given by:
[tex]P=\frac{W}{t}[/tex]
where
t = 5.35 s
is the time taken. Substituting,
[tex]P=\frac{43650}{5.35}=8159 W[/tex]
And keeping in mind that
1 hp = 746 W
We can also convert into horsepowers:
[tex]P=\frac{8159}{746}=10.9 hp[/tex]
