QuestionMay 3, 2025

Which of the following has the greatest magnitude of momentum? A roadrunner with a mass of 1.8 kg moving at a velocity of 6.7m/s A hare with a mass of 2.7 kg moving at a velocity of 7.5m/s A turtle with a mass of 91 kg moving at a velocity of 1.4m/s A tortoise with a mass of 275 kg moving at a velocity of 0.55m/s

Which of the following has the greatest magnitude of momentum? A roadrunner with a mass of 1.8 kg moving at a velocity of 6.7m/s A hare with a mass of 2.7 kg moving at a velocity of 7.5m/s A turtle with a mass of 91 kg moving at a velocity of 1.4m/s A tortoise with a mass of 275 kg moving at a velocity of 0.55m/s
Which of the following has the greatest magnitude of momentum? A roadrunner with a mass of 1.8 kg moving at a velocity of 6.7m/s A hare with a mass of 2.7 kg moving at a velocity of 7.5m/s A turtle with a mass of 91 kg moving at a velocity of 1.4m/s A tortoise with a mass of 275 kg moving at a velocity of 0.55m/s

Solution
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Answer

The tortoise with a momentum of 151.25 kg m/s has the greatest magnitude of momentum. Explanation 1. Calculate momentum for each object Use the formula p = m \cdot v where p is momentum, m is mass, and v is velocity. - Roadrunner: p = 1.8 \, \text{kg} \times 6.7 \, \text{m/s} = 12.06 \, \text{kg m/s} - Hare: p = 2.7 \, \text{kg} \times 7.5 \, \text{m/s} = 20.25 \, \text{kg m/s} - Turtle: p = 91 \, \text{kg} \times 1.4 \, \text{m/s} = 127.4 \, \text{kg m/s} - Tortoise: p = 275 \, \text{kg} \times 0.55 \, \text{m/s} = 151.25 \, \text{kg m/s} 2. Compare magnitudes of momentum Identify which calculated momentum value is the greatest.

Explanation

1. Calculate momentum for each object<br /> Use the formula $p = m \cdot v$ where $p$ is momentum, $m$ is mass, and $v$ is velocity.<br /><br />- Roadrunner: $p = 1.8 \, \text{kg} \times 6.7 \, \text{m/s} = 12.06 \, \text{kg m/s}$<br />- Hare: $p = 2.7 \, \text{kg} \times 7.5 \, \text{m/s} = 20.25 \, \text{kg m/s}$<br />- Turtle: $p = 91 \, \text{kg} \times 1.4 \, \text{m/s} = 127.4 \, \text{kg m/s}$<br />- Tortoise: $p = 275 \, \text{kg} \times 0.55 \, \text{m/s} = 151.25 \, \text{kg m/s}$<br /><br />2. Compare magnitudes of momentum<br /> Identify which calculated momentum value is the greatest.
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