volume of stack = length × width × height
volume of stack = 6 in. × 3 in. × 0.5 in
volume of stack = 9 in.3(2) Calculate the number of stacks. Note that a trillion dollars is equal to $1 × 1012, and a stack of one-hundred $100 bills is equal to $10,000, or $1×104. The number of stacks you will have is:
$1 × 1012 (a trillion dollars)/ $1 × 104 per stack = 1 × 108 stacks.(3) Calculate the area of a football field in square inches. The area of a football field is 100 yd×50 yd, which gives 5,000 yd2. Because we are working in inches, we need to convert square yards to square inches:
Using mental math and your understanding of fundamental units, approximate the area of a regulation basketball court. Describe the process you used to arrive at your final approximation.Solution
Scientists often approximate the values of quantities to perform calculations and analyze systems.
1. How many heartbeats are there in a lifetime?
2. A generation is about one-third of a lifetime. Approximately how many generations have passed since the year 0 AD?
3. How many times longer than the mean life of an extremely unstable atomic nucleus is the lifetime of a human? (Hint: The lifetime of an unstable atomic nucleus is on the order of 10-22.)
4. Calculate the approximate number of atoms in a bacterium. Assume that the average mass of an atom in the bacterium is ten times the mass of a hydrogen atom. (Hint: The mass of a hydrogen atom is on the order of 10-27 and the mass of a bacterium is on the order of 10-15).6. (a) What fraction of Earth’s diameter is the greatest ocean depth? (b) The greatest mountain height?
approximation: an estimated value based on prior experience and reasoning
1.4 Approximation - College Physics for AP® Courses _ OpenStax.pdf
PHYS 77420389 • Humble High School
FYSIKK 8304 • Norwegian Univ. of Science & Technology
15-1 - WKB approximation. Alpha particle decay.pdf
FACULTAD D A15-118 • Universidad Autónoma de San Luis Potosí