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Answer :
Final answer:
The ratio of the magnitude of the momentum of the cheetah to that of the elephant is approximately 0.0443.
Explanation:
To calculate the momentum of an object, we use the formula momentum = mass × velocity. The momentum of an object is directly proportional to its mass and its velocity. Given that the mass of the elephant is 3760 kg and its velocity is 34.8 km/h, we can calculate the magnitude of its momentum as follows:
The momentum of the elephant = (mass of elephant) × (velocity of elephant)
= 3760 kg × (34.8 km/h × (1000 m/1 km) × (1h/3600 s))
= 3760 kg × (34.8 × (1000/3600)) m/s
= 3760 kg × 9.67 m/s
= 36387.2 kg·m/s
Similarly, for the cheetah with a mass of 50.7 kg and a velocity of 114 km/h, the magnitude of its momentum can be calculated as:
The momentum of the cheetah = (mass of cheetah) × (velocity of cheetah)
= 50.7 kg × (114 km/h × (1000 m/1 km) × (1h/3600 s))
= 50.7 kg × (114 × (1000/3600)) m/s
= 50.7 kg × 31.7 m/s
= 1611.9 kg·m/s
To find the ratio of the magnitude of the momentum of the cheetah to that of the elephant, we divide the momentum of the cheetah by the momentum of the elephant:
Ratio = (momentum of cheetah) / (momentum of elephant)
= 1611.9 kg·m/s / 36387.2 kg·m/s
= 0.0443
Therefore, the ratio of the magnitude of the momentum of the cheetah to that of the elephant is approximately 0.0443.
Learn more about momentum here:
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