Question

Because it can go from rest to 14.2 m/s (about 32 mi/h) in 2.1 s, one of the fastest-accelerating animals is the cheetah. If its mass is 56.0 kg, determine the average power developed by the cheetah during the acceleration phase of its motion. Express your answer in the following units.
(a) watts and
(b) horsepower.

Answer 1

Answer:

(a) $P_{power}=2688.53Watt$

(b) $P_{power}=3.605hp$

Explanation:

For part (a)

As we know that

$P_{power}=\frac{W_{work}}{t_{time}}\\As\\ W=1/2(mv_{f}^{2}-mv_{o}^{2} )So\\P_{power}=\frac{1/2(mv_{f}^{2}-mv_{o}^{2} )}{t}\\ P_{power}=\frac{1/2(56.0kg*(14.2m/s)^2-56.0kg*(0m/s)^2)}{2.1s} \\P_{power}=2688.53Watt$

For part (b)

The power in unit of horsepower is:

$P_{power}=(2688.53Watt)(\frac{1hp}{745.7Watt} )\\P_{power}=3.605hp$