(a) Estimate the average mass of a person's leg. (b) Estimate the length of a full-size school bus.

Short Answer

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Question: Provide the estimated average mass of a person's leg and the estimated length of a full-size school bus based on the given solution. Answer: The estimated average mass of a person's leg is approximately 10.5 kg (23.15 lbs) and the estimated length of a full-size school bus is approximately 15 meters (49.2 feet).

Step by step solution

01

Estimate the average mass of a person's leg

To estimate the average mass of a person's leg, we can first consider the overall mass of an average person. An adult might weigh around 70 kg (155 lbs). Now, we will assume that each leg contributes 15% of the total mass, which is a reasonable assumption, as legs are not the heaviest part of the body but are still quite substantial. Therefore, we can calculate the mass of a person's leg using the following formula: Mass of leg = (Percentage of total mass) * (Total mass of the body) Mass of leg ≈ 0.15 * 70 kg ≈ 10.5 kg or 23.15 lbs.
02

Estimating the length of a full-size school bus

A full-size school bus is usually designed to carry a large number of students. To estimate its length, we can consider the number of rows in the bus and the average space each row takes up. A standard school bus typically has around 13 rows, with about 1 meter (3.3 feet) spacing for each row to account for both the seats and the aisle. Additionally, we should account for extra space in the front and back of the bus, about 2 meters (6.6 feet). Thus, we can calculate the estimated length of a school bus using the following formula: Length of school bus ≈ (Number of rows) * (Space per row) + (Extra space) Length of school bus ≈ 13 * 1 m + 2 m ≈ 15 m or 49.2 feet. So, our estimates are: (a) The average mass of a person's leg is approximately 10.5 kg (23.15 lbs). (b) The length of a full-size school bus is approximately 15 meters (49.2 feet).

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