High School

Which has a larger magnitude of momentum: a 3000-kg elephant moving at 40 km/h or a 60-kg cheetah moving at 112 km/h?

A. Elephant
B. Cheetah
C. Both have the same momentum
D. Cannot be determined

Answer :

Final answer:

The elephant has a larger magnitude of momentum.

Explanation:

The magnitude of momentum depends on both the mass and velocity of an object. In this case, we have a 3000-kg elephant moving at 40 km/h and a 60-kg cheetah moving at 112 km/h. To determine which has a larger magnitude of momentum, we need to calculate their momenta.



The momentum of an object is given by the formula: momentum = mass * velocity.



Let's calculate the momentum of the elephant first:



Elephant's momentum = 3000 kg * (40 km/h * 1000 m/km)/(3600 s/h) = 333,333.33 kg·m/s



Now, let's calculate the momentum of the cheetah:



Cheetah's momentum = 60 kg * (112 km/h * 1000 m/km)/(3600 s/h) = 186.67 kg·m/s



Comparing the two results, we can see that the elephant has a larger magnitude of momentum. Therefore, the answer is A) Elephant.

Learn more about Momentum here:

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