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7 July, 21:19

The cheetah is one of the fastest-accelerating animals, because it can go from rest to 16.2 m/s (about 36 mi/h) in 2.4 s. If its mass is 102 kg, determine the average power developed by the cheetah during the acceleration phase of its motion. Express your answer in the following units.

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  1. 8 July, 01:04
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    Power of cheetah is 5576.85 W = 7.48 hp

    Explanation:

    Power is the ratio of energy to time.

    Here we need to consider kinetic energy,

    Mass, m = 102 kg

    Initial velocity = 0 m/s

    Final velocity = 16.2 m/s

    Time, t = 2.4 s

    Initial kinetic energy = 0.5 x Mass x Initial velocity² = 0.5 x 102 x 0² = 0 J

    Final kinetic energy = 0.5 x Mass x Final velocity² = 0.5 x 102 x 16.2² = 13384.44 J

    Change in energy = Final kinetic energy - Initial kinetic energy

    Change in energy = 13384.44 - 0

    Change in energy = 13384.44 J

    Power = 13384.44 : 2.4 = 5576.85 W = 7.48 hp

    Power of cheetah is 5576.85 W = 7.48 hp
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