1112

• Run Multiple Choice Generator at h:\shares\physics
• General College Physics:  Run Core Problems by giving the program 174 as your 'course'--enter this when asked for your 3-digit course number.   Do the problems for 11/03.
• University Physics:  Run Multiple Choice Generator for 201 and choose 'Calculus of Uniformly Accelerated Motion'.
• If you miss a problem be sure to click on Comment and explain what you do and do not understand about the question and the given solution.

Text Assignments:

Phy 201:  Chapter 5, problems 3, 8, 10, 15, 18, 30, 36, 40, 48, 50

University Physics:  Chapter 12, problems 41, 44, 49, 51, 56, 58, 60, 61, 67

Using the gravitational field simulation  at

• bb.vccs.edu, login as vhstudent password college,
• select Supervised Study Current Semester Summer 04, then
• Course Documents > Downloads > Physics I > Gravitational Field Simulation

and do the following Simulation Experiment:

[G:=6.67*10^-11,M:=6*10^24,R_earth:=6.4*10^6]

v(r):=sqrt(G M / r)

Enter in v(R_earth), click on Simplify, Approximate and Approximate.

Angular Velocities

Set a satellite in a circular orbit at a distance of 2 Earth radii and determine the angular speed of the simulated orbit in radians per second.  Do this in two ways. 

• First send out seven straight 'shots' at angles of 0, 1, 2, 3, 4, 5 and 6 radians.

• Find the time necessary to go through each radian, using Time Factor 100 instead of the default 1000 (this will slow the simulation by a factor of 10 so you can time it with reasonable accuracy).

• Second, time the simulation for 1 complete orbit. 

• Also, observe the 'realtime interval' necessary to complete an orbit at this radius.

Repeat the above for an orbit at 3 Earth radii.

Repeat once more for the elliptical orbit that goes from your initial radius of the original gravitation experiment to 3 Earth radii.

Analysis:

For each orbit:

• According to your observations between the 1-radian lines, what was the average angular velocity, in radians / second, for each interval?

• There are 2 pi radians in a circle.  According to your timing for the orbit, what was the average angular velocity of the simulation for the entire orbit?

• What is the actual average angular velocity of  a satellite in this orbit about the Earth (note your 'realtime interval').

Also for the elliptical orbit:

• What was your approximate average distance from the center of the planet for each 1-radian interval?

• How is the average distance related to the angular velocity?