PhysicsClassical Physics

Momentum Equation: Elephant, Dart, and Hunter

Use the vector momentum equation to find the elephant and hunter momenta, compare the dart’s momentum magnitude, and keep the diagram’s directions explicit.

Question

An elephant is charging a hunter. The diagram defines positive x to the right and positive y upward. The elephant has mass 2000.0 kg and velocity +7.50 m/s in the x-direction; a 0.0400 kg tranquilizer dart travels at 600 m/s in the negative x-direction; the 90.0 kg hunter runs at +7.40 m/s in the x-direction after the dart misses.

(a) Determine the charging elephant’s momentum. (b) Compare the elephant’s momentum with that of the dart by calculating their momentum ratio. (c) Determine the fleeing hunter’s momentum.

Direction diagram: elephant +7.50 m/s right, dart -600 m/s left, hunter +7.40 m/s right; masses 2000.0 kg, 0.0400 kg, and 90.0 kg.

Direction diagram reconstructed from the source data; arrows are not to scale.

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Evidence boundary

This is a normalized restatement of OpenStax University Physics Volume 1, Chapter 9, Problem 18, including the directions in its diagram. The 625 comparison is a ratio of magnitudes; the signed x-component ratio is −625. The results are calculations from the supplied data, not experimental observations or a reproduced teacher answer key.