Phys 100: Problem Set Week 2

Due Wednesday September 12, at 9 AM

Giancoli Chapter 4 (Newtonian Dynamics) We will work through dynamics first in one spatial dimension, and then go back to the more complex case of three spatial dimensions. Our approach differs from the book, which introduces vectors (useful in higher spatial dimensions) before dynamics. We may finish 1D dynamics before the end of the week. If we do then our next chapter will be 3 (Vectors).

Problems:

We shall usually have about a dozen problems. Solutions of these normally require mathematical answers and sufficient explanation to make your reasoning clear. Only a small part of the credit is awarded for the correct answer, most of it goes to the calculation and the explanation of your solution. This is especially true of the odd numbered problems which have answers given in the back of the book. In these cases no credit attaches to the answer; it is all for the explanation of your solution.

You should notice that the book marks the approximate difficulty of its problems. I tend not to set type I problems. These are excellent problems for you to try as you are reading. The answers to all the odd ones are given and so you can tell if you are understanding the material. The type III problems typically require you to combine several different ideas to approach a single problem.

(1) Ch 2 Problem 7

(2) Ch 2 Problem 8

(3) Ch 2 Problem 13

(4) Usain Bolt accelerates from 0 to 28 mph in 6.25 s. (This data is from his 2008 Olymipic 100-meter sprint.). At this time he has covered 60.0 m, what is his average acceleration in m/s^2?

(5) A Cessna 150 airplane lifts off the ground at 53 mph. How long a runway is needed if the (constant) acceleration is 2m/s^2?

(6) Ch 2 Problem 39

(7) Ch 2 Problem 42

(8) Ch 2 Problem 46

(9) Ch 2 Problem 49

(10) Ch 2 Problem 57

(11) Ch 2 Problem 60

(12) Ch 2 Problem 85