Questions and Answers
If the entire population of the United States forms a human chain by holding hands, how many times can such a chain be wrapped around the earth's equator?
7 times
How many times does your heart beat during your lifetime? Express your answer as the order of magnitude.
9
Find the value of 15.0 Newton in pounds.
3.37 lb
How much would it cost to cover the entire land area of the United States (including Alaska and Hawaii) with dollar bills?
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What would be the cost to each person in the United States given that the total cost is 9X10^14 dollars?
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What is the approximate height of the average adult in centimeters?
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Approximately what is the mass of the average adult in kilograms?
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What is the angle between the net displacement vectors for two birds flying in different directions?
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A car ends up 18 miles west of the intersection with Mulberry Road. How far has it traveled?
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Estimate the average speed with which the hair on your head grows in micrometers per hour.
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How high does a large passenger aircraft climb after traveling 3200 m at a 6.3 degree angle?
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How far horizontally is it from its initial position after climbing?
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Study Notes
Human Chain Around Earth
- A human chain formed by the entire U.S. population can wrap around the Earth's equator approximately 7 times.
- Earth's circumference is roughly 4 x 10^7 meters, and the U.S. population is about 300 million (3 x 10^8).
- Average distance between hands is considered one meter, leading to a total chain length of 3 x 10^8 meters.
Heartbeats in a Lifetime
- The average heart beats approximately 2.8 x 10^9 times during a lifetime, equivalent to an order of magnitude of 9.
- Calculation: 72 beats/min x 60 min/hr x 24 hr/day x 365 days/year x 75 years.
Conversion of Newtons to Pounds
- 15 Newtons converts to around 3.37 pounds.
- Calculation involves conversions from Newtons to kilograms, slugs, and finally to pounds.
Cost of Covering the U.S. with Dollar Bills
- Covering the entire land area of the U.S. (4,461,328 mi²) with dollar bills costs approximately 1 x 10^15 dollars.
- Area of a dollar bill is 16.0254 in², converting to mi² gives 3.99 x 10^-9 mi².
Per Capita Cost in the U.S.
- Each U.S. citizen would spend about 3 x 10^6 dollars if the total cost to cover the land area with dollar bills is 9 x 10^14 dollars.
- Based on an average population of 315,901,000 people.
Average Adult Height and Mass
- The average height of an adult is about 200 centimeters.
- The average mass of an adult is approximately 80 kilograms.
Angle Between Two Birds’ Displacement Vectors
- The angle between the net displacement vectors of two birds is approximately 2.1 degrees.
- Calculation involves using the tangent function to find internal angles of triangles formed by their flights.
Car's Final Position
- A car traveling west concludes its journey at 5 miles east of the intersection with Mulberry Road.
Hair Growth Rate
- The hair on a person's head grows at an estimated rate of 30 micrometers per hour.
- Growth estimates are based on an average of 1 inch per month, converted into metric units.
Aircraft Climbing Height
- After traveling 3200 meters at a 6.3-degree angle, a passenger aircraft reaches a height of approximately 350 meters.
- Utilizes the sine function to calculate the height in a right triangle setup.
Horizontal Distance from Initial Position
- The aircraft’s horizontal travel distance from the starting point is approximately 6500 meters.
- Total horizontal distance combines 3300 m (initial runway distance) and 3200 m (climb trajectory).
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Description
Test your understanding of physics concepts with these flashcards based on Chapter 1 of Mastering Physics. This quiz explores interesting thought experiments, including calculating how many times a human chain could wrap around the Earth's equator. Challenge yourself and deepen your grasp of fundamental principles!
