Question

Multiple-Concept Example 13 presents useful background for this problem. The cheetah is one of the fastest-accelerating animals, because it can go from rest to 27 m/s (about 60 mi/h) in 4.0 s. If its mass is 110 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

Answer:

Explanation:

given,

speed of cheetah = 27 m/s

time taken  = 4 s

mass of cheetah = 110 kg

$a = \dfrac{27-0}{4}$

a = 6.75 m/s²

v² = u² + 2 as

27² = 0 + 2 × 6.75× s

s = 54 m

a) $power = \dfrac{work\ done}{t}$

$power = \dfrac{F.s}{t}$

$power = \dfrac{m.a.s}{t}$

$power = \dfrac{110\times 6.75\times 54}{4}$

$power = 10,023\ watt$

b) $power = \dfrac{10,023}{746}$

   $power = 13.46\ horsepower$