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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.

Respuesta :

Answer:

Explanation:

given,

speed of cheetah = 27 m/s

time taken  = 4 s

mass of cheetah = 110 kg

[tex]a = \dfrac{27-0}{4}[/tex]

a = 6.75 m/s²

v² = u² + 2 as

27² = 0 + 2 × 6.75× s

s = 54 m

a) [tex]power = \dfrac{work\ done}{t}[/tex]

[tex]power = \dfrac{F.s}{t}[/tex]

[tex]power = \dfrac{m.a.s}{t}[/tex]

[tex]power = \dfrac{110\times 6.75\times 54}{4}[/tex]

[tex]power = 10,023\ watt[/tex]

b) [tex]power = \dfrac{10,023}{746}[/tex]

   [tex]power = 13.46\ horsepower[/tex]

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