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

Step-by-step explanation:

given,

speed of cheetah = 27 m/s

time taken = 4 s

mass of cheetah = 110 kg

`a = (27-0)/(4)`

a = 6.75 m/s²

v² = u² + 2 as

27² = 0 + 2 × 6.75× s

s = 54 m

a)
`power = (work\ done)/(t)`

`power = (F.s)/(t)`

`power = (m.a.s)/(t)`

`power = (110* 6.75* 54)/(4)`

`power = 10,023\ watt`

b)
`power = (10,023)/(746)`

`power = 13.46\ horsepower`