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Unformatted text preview: Name: February 1. EUﬂL
J. Binninghnrn Physics 31 —— Midterm #l ——————___—_—_____ Instructions: Please put year name on every page. Closed hook. Closed notes. No calculators. Answers must be sopported; simply writing dovm an expression or value is not
adequate and will not earn full credit. Do not state the result of a homework.
ineiass or textbook problem wiﬂtout proof. Numerical answers must include units for full credit. You do not need to convert fractions to decimals. Remember: vector quantiﬁes have directions!
Please hot: or circle answers. You should use 1t] rotsI as the magnitude of the gravitational acceleration. Suggestions: Work on the easiest problems ﬁrst;
Don‘t spend too much time on any one problem. Good luck! Use these numbers for any problems involving
trigonometry. Angles measured in degrees: Name: Problem 1. {35 points} Phil and Rich initially stand 12!] meters apart as shoWn in me ﬁgure below. When the whistle blows [t = [II sm} they begin running towards each other. Let's define the positive direction as
being towards the right. sayJ.“ and“. Li +—————vt?.E=m ——tr Phil‘s initial speed is 4 oats and he accelemms at 4 mfsz.
Rich runs at a constant speed of ll] rnfs, a. Calculate Phil's average velocity during the time interval 1 = ii to 4 seconds. {5 points)
h. Calculate Phil‘s instantaneous 1.reiocity at r = 4 seconds. [5 points)
c. Find Phil's instantaneous velocity with respect to Rich at t = 4 seconds {5 points) :1. 1When Phil and Rich meet, how many meters are they from Rich‘s initial position? (2) points] Name: Problem 2 {35 points} A daredevil plans to drive her car off the edge of a cliff zoo meters in height. honing to land on a
ram; 20 meters in height. 13!] meters from the base of the cliff. Her initial speed is an. a. Find her acceleration [magnitude and direction} one second after she Ioses contact with the cliff.
[5 points} h. Find d1e value of so required for her to Iand at the edge of the ramp. {15 points} c. Find the angle? of the ramp that will match hcr 1relocit},r at the landing point. {15 points} Name: Problem 3 {311] points] There are [1.11:9 forces—E: and i; acting en the 4 kg mass in the av head View shewn beiew. Oneof the fumes
is shown: F, has magnitude M} N and the direetien indicated. F? is net shown. The mass undergoes an
ted. {Gravity dues Lat play a rule in this ‘9' 3. Express F. in unitvveeter neiatien. {5 points] II:
b. Find F3 and express it in Unit—vector netajjen an__d as a mgnitude and a directien. Yen ma},r leave the magnitude as a radical {square reel} if neeessary. Make sure the direction is clear. You may want In
make a drawing. (2.5 points} ...
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 '08
 DISHAW
 Physics

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