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Assignment #1 Problems - General Physics | PHYS 2014, Assignments of Physics

Oklahoma State University (OSU) - StillwaterPhysics
Prof. Eric Benton

Material Type: Assignment; Professor: Benton; Class: GENERAL PHYSICS; Subject: Physics ; University: Oklahoma State University - Stillwater; Term: Fall 2009;

Typology: Assignments

Pre 2010

Uploaded on 11/08/2009

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PHYS2014 Fall 2009
Benton OSU Physics Dept.
1
Physics 2014: General Physics I
Homework Assignment 1
Due: Friday, 28 August 2009 at the beginning of your Recitation session.
Problems:
1. Convert the unit of furlongs/fortnight into meters/second.
2. Explain why manholes and manhole covers are circular and not some other shape (e.g.
rectangular or oval).
3. Dr. Larry Pinsky, chairman of the Physics Department at the University of Houston, travels
more than anyone else I know. Last year he made 10 round trips to Geneva (home of CERN, the
European Particle Physics Center), 4 round trips to Tokyo (the Japanese KEK particle physics
laboratory is in Tsukuba, near Tokyo), 6 round trips to Chicago (Fermi National Accelerator
Laboratory), 7 round trips to New York (Brookhaven National Laboratory), 3 round trips to
London (apparently he likes English beer), and 1 round trip to each of the following cities:
Moscow, Buenos Aires, and New Delhi (for scientific conferences). Based on the table of round
trip distances below, find Dr. Pinsky’s average speed last year in m/s and in miles/hour. Why
might this estimate be on the low side (i.e. too small)? What was Dr. Pinsky’s average velocity
last year (assuming he spends every New Year at home)? (In case you’re wondering, a typical
jetliner flies at about 245 m/s or 550 miles/hour.)
Table for Problem 3: Round trip distances between Houston, TX and major cities
visited by Dr. Pinsky last year.
City Round Trip Distance
(km)
Round Trip Distance
(miles)
Geneva 16900 10500
Tokyo 21400 13260
Chicago 2980 1852
New York 4540 2820
Moscow 18920 11760
London 15200 9440
Buenos Aires 16320 10140
New Delhi 26924 16728
4. Given three vectors, ˆˆ
62Ai j=−
G
, ˆˆ
65
B
ij
=
+
G
, and ˆˆ
35Cij
=
−+
G
, find 22DABC=−+
GG
G
G
and
3EC BA=− +
GG
GG
. What is the angle between D
G
and E
G
?
pf2

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Download Assignment #1 Problems - General Physics | PHYS 2014 and more Assignments Physics in PDF only on Docsity!

PHYS2014 Fall 2009 Benton OSU Physics Dept.

Physics 2014: General Physics I Homework Assignment 1

Due: Friday, 28 August 2009 at the beginning of your Recitation session.

Problems:

  1. Convert the unit of furlongs/fortnight into meters/second.
  2. Explain why manholes and manhole covers are circular and not some other shape (e.g. rectangular or oval).
  3. Dr. Larry Pinsky, chairman of the Physics Department at the University of Houston, travels more than anyone else I know. Last year he made 10 round trips to Geneva (home of CERN, the European Particle Physics Center), 4 round trips to Tokyo (the Japanese KEK particle physics laboratory is in Tsukuba, near Tokyo), 6 round trips to Chicago (Fermi National Accelerator Laboratory), 7 round trips to New York (Brookhaven National Laboratory), 3 round trips to London (apparently he likes English beer), and 1 round trip to each of the following cities: Moscow, Buenos Aires, and New Delhi (for scientific conferences). Based on the table of round trip distances below, find Dr. Pinsky’s average speed last year in m/s and in miles/hour. Why might this estimate be on the low side (i.e. too small)? What was Dr. Pinsky’s average velocity last year (assuming he spends every New Year at home)? (In case you’re wondering, a typical jetliner flies at about 245 m/s or 550 miles/hour.)

Table for Problem 3: Round trip distances between Houston, TX and major cities visited by Dr. Pinsky last year. City Round Trip Distance (km)

Round Trip Distance (miles) Geneva 16900 10500 Tokyo 21400 13260 Chicago 2980 1852 New York 4540 2820 Moscow 18920 11760 London 15200 9440 Buenos Aires 16320 10140 New Delhi 26924 16728

  1. Given three vectors, A = 6 i ˆ^ − 2 ˆ j

G

, B = 6 i ˆ^ + 5 ˆ j

G

, and C = − 3 ˆ i^ + 5 ˆ j

G

, find D = 2 A − 2 B + C

G G G G

and E = C − 3 B + A

G G G G

. What is the angle between D

G

and E

G

PHYS2014 Fall 2009 Benton OSU Physics Dept.

  1. A vector, K

G

, extends from coordinates (12, 16) to (-4, 8). Another vector, L

G

, extends from (11, -9) to (17, -7). By what scalar values, Kx and Ky , do you need to multiply the unit vectors

i ˆ and ˆ j , in order that K ix ˆ^ + K (^) y ˆ j = K

G

? Similarly, by what scalar values, Lx and Ly , do you need

to multiply the unit vectors i ˆ and ˆ j , in order that L ix ˆ^ + L jy ˆ = L

G

? Calculate the ratio of the

magnitudes of K

G

to L

G

. What is the magnitude and direction of the vector M = 3 K − 4 L

G G G

  1. On your way to class, you pass the new building that is under construction next to the OSU Physical Sciences building and you stop to watch the construction activity for a few minutes. A crane is lifting a batch of bricks on a pallet when one of the bricks falls off. You clock the time it takes for the brick to hit the ground at 2.5 seconds. Since a falling brick can be dangerous, you wonder from what height the brick fell and how fast the brick was going when it hit the ground. Fortunately, since you are taking physics, you know you can find the answers.
  2. A housefly is flying at 2.5 m/s perpendicular to a frog. The distance between the fly and the frog is 0.15 m. If the frog can flick his tongue directly at the fly at an average speed of 60 m/s (and assuming the frog’s tongue is longer than 0.15 m), by what distance does the frog miss catching the fly?
  3. The University Skydiving Club has asked you to plan a stunt for an air show. In this stunt, two skydivers will step out of opposite sides of a stationary hot air balloon 1500 meters above the ground. The second skydiver will leave the balloon 20 seconds after the first skydiver but you want them both to land on the ground at the same time. The show is planned for a day with no wind so assume that all motion is vertical. To get a rough idea of the situation, assume that a skydiver will fall with a constant acceleration of 9.80 m/s 2 before the parachute opens. As soon as the parachute is opened, the skydiver falls with a constant velocity of 3.2 m/s. If the first skydiver waits 3 seconds after stepping out of the balloon before opening her parachute, how long must the second skydiver wait after leaving the balloon before opening his parachute?