Consider the equation s=s0+v0t+a0t2/2+j0t3/6+s0t4/24+ct5/120 , were s is a length and t is a time. What are the dimensions and SI units of (a) s0 , (b) v0 , (c) a0 , (d) j0 , (e) s0, and (f) c ?

Show that, when SI units for 0 and 0 are entered, the units given by the right-hand side of the equation in the problem above are m/s.

A marathon runner completes a 42.188-km course in 2 h, 30 min, and 12s. There is an uncertainty of 25 m in the distance traveled and an uncertainty of 1 s in the elapsed time. (a) Calculate the percent uncertainty in the distance. (b) Calculate the percent uncertainty in the elapsed time. (C) What is the average speed in meters per second? (d) What is the uncertainty in the average speed?

Perform the following arithmetic operations, keeping the correct number of significant figures in your answer. a. The product 56.2 0.154 b. The sum 9.8 + 43.4 + 124 c. The quotient 81.340/

(a) A person's blood pressure is measured to be 1202 mm Hg. What is its percent uncertainty? (b) Assuming the same percent uncertainty, what is the uncertainty in a blood pressure measurement of 80 mm Hg?

A bit of computer memory is some physical object that can be in two different states, often interpreted as 0 and 1. A byte is eight bits, a kilobyte is 1024 (= 210) bytes, a megabyte is 1024 kilobytes, and a gigabyte is 1024 megabytes.   Suppose that your computer erases or overwrites one gigabyte of memory, keeping no record of the information that was stored. Explain why this process must create a certain minimum amount of entropy, and calculate how much.

A DVD has an effective inner radius of 2.3 cm and outer radius of 5.8 cm. The disk’s capacity is 4.7 gigabytes, where 1 byte= 8 bits. Find the number of bits stored per square meter, and compare with the density on a magnetic device, 1 x 1013 bits/m2.

If the radius of a CD-ROM is 6 cm, what is the average area taken up by each bit if the total number of bits stored is 6 billion (6 x 109) bits?

The density of platinum is 21.45 x 103 kg/m3. a. Calculate the volume (in m3/atom) occupied per platinum atom b. Estimate the atomic diameter (in m);(The estimate uses the approximation that it is a cubic volume) c. Using this estimation, calculate the thickness of a metal foil (in m) containing 2.0 x 101 atomic layers of platinum.