Answer :
Elephant's momentum is 33,333.33 kg·m/s (mass × velocity), while the cheetah's momentum is 1866.67 kg·m/s (mass × velocity).
Option 1 is correct
For the elephant, its mass is 3000 kg and its velocity is 40 km/h. To calculate its momentum, we need to convert the velocity to m/s.
The momentum of the elephant can be calculated as:
Momentum = mass x velocity
Momentum = 3000 kg x (40 km/h * 1000 m/3600 s)
Momentum = 3000 kg x (11.11 m/s)
Momentum = 33,333.33 kg·m/s
For the cheetah, its mass is 60 kg and its velocity is 112 km/h. Again, we need to convert the velocity to m/s.
The momentum of the cheetah can be calculated as:
Momentum = mass x velocity
Momentum = 60 kg x (112 km/h * 1000 m/3600 s)
Momentum = 60 kg x (31.11 m/s)
Momentum = 1866.67 kg·m/s
Thus, option 1 is correct
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The 3000-kg elephant moving at 40 km/h has a larger magnitude of momentum than the 60-kg cheetah moving at 112 km/h due to its much higher mass despite the cheetah's higher speed.
Momentum is calculated by multiplying an object's mass by its velocity. For the elephant, Momentum = 3000 kg * 40 km/h = 120,000 kg km/h. For the cheetah, Momentum = 60 kg * 112 km/h = 6,720 kg km/h. Thus, the elephant's momentum is significantly larger.
Despite the cheetah's higher speed, the much larger mass of the elephant results in a substantially greater magnitude of momentum. Momentum is an important concept in physics, illustrating the relationship between an object's mass and its motion, which is crucial for understanding various physical phenomena and practical applications.
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