Week 1 Homework Assignment

 

  1. (P.20 Prob.4) A scanning electron micrograph of xylem vessels in a corn root shows the vessels magnified by a factor of 600. In the micrograph the xylem vessel is 3.0cm in diameter. (a) What is the diameter of the vessel itself? (b) By what factor has the cross-sectional area of the vessel been increased in the micrograph?
  2. (P.20 Prob.8) Write these numbers in scientific notation: (a) the U.S. population, 250000000; (b) the diameter of a Helium nucleus, 0.0000000000000038m.
  3. (P.20 Prob.10) Write your answers to these problems with the appropriate number of significant figures.
    (a) 6.85 x 10-5 + 2.7 x 10-7      (b) 702.35 + 1897.648
    (c) 5.0 x 4.3    (d) 0.04/p   (e) 0.040/p
  4. (p.20 Prob.14) A sprinter can run at a top speed of 0.32miles per minute. Express her speed in (a) m/s and (b) mi/h.

  5. (P.21 Prob. 30) The speed of ocean waves depends on their wavelength l (measured in meters) and the gravitational field strength g (measured in m/s2) in this way:

    v = Klpgq
    where K is a dimensionless constant. Find the values of the exponents p and q.
  6. (P.21 Prob.34) Use the binomial approximation (Eq. 1-1) to find the cube root of (a) 0.9994; (b) 0.994; (c) 0.92; (d) 1.3. compare approximations with result from a calculator.
  7. (P.22 Prob.44) A linear plot of speed versus elapsed time has a slope of 6.0m/s2 and a y intercept of 3.0m/s. (a) What is the change in speed in the time interval between 4.0 seconds and 6.0 seconds? (b) What is the speed when the elapsed time is equal to 5.0 second?
  8. (P.23 Prob.50) For what radius, if any, does the area of a circle equal the circumference of the circle? Explain.
  9. (P.54 Prob.2) If a force of 5.0N causes a spring to stretch 3.5cm from its relaxed length, how far does a force of 7.0N cause the same spring to stretch? What is the spring constant of this spring?