practice
- In the action-adventure movie Eraser, (1996) Arnold Schwarzenegger plays a US
Marshall working for the Witness Relocation Program. He obtains a high-tech
weapon that launches projectiles at "nearly the speed of light." Arnold
wields the weapon like a shotgun, firing it several times from an unbraced,
standing position. Bad guys are then seen flying through the air (for several
meters) after being hit. Explain the physical impossibility of operating such
a weapon in the manner described above.
- Write something else.
- Write something different.
- Write a conveyor belt problem and make it interesting.
numerical
A 3.0 kg fish is swimming at 1.5 m/s to the right. It swallows a 0.25 kg
fish swimming to the left at 4.0 m/s. What is the velocity of the larger
fish immediately after lunch?
calculus
- A rocket or some other kind of space travel problem.
- Another conveyor belt problem maybe.
statistical
- student-data.txt
The picture below shows an experiment performed by a group of students. Two lab
carts are placed end to end in the center of an aluminum track. The cart on the
left has a trigger that will release a spring-loaded piston when pressed. This
pushes the two carts in opposite directions across the track. The plastic cards
on top of each cart then passed through the photogates on opposite ends and a
computer computed the speeds of the carts.

The students placed various combinations of iron weights on the carts and repeated
the experiment several times. The mass (in kg) of each cart plus the weights
and the recoil speeds (in cm/s) were recorded in the accompanying tab
delimited text file.
- Compute the recoil momentums of each cart.
- Construct a graph with the momentum of the first cart on the horizontal
axis and the momentum of the second cart on the vertical axis.
- Add a best fit straight line to this graph and determine its slope and
y-intercept. (Include the uncertainty, coefficient of correlation or determination,
and the root mean square error if you have the ability to do so.)
- Does this analysis show that momentum was conserved when the lab carts
recoiled?
investigative
- Determine "delta vee" for a typical
Space Shuttle
from SRB separation to MECO. Begin by finding the following information …
- mass of the orbiter
- mass of the external fuel tank …
- full
- empty
- time after liftoff of …
- solid rocket booster (SRB) separation
- main engine cutoff (MECO)
- exhaust velocity of the main engines
- type of fuel used in the main engines
- the Space Shuttle's "destination" in space
- Determine "delta vee" for either the
Deep Space 1 or Dawn
space probes after leaving the earth's gravitational field. Begin by finding
the following information …
- mass of the probe when …
- full of propellant
- empty
- exhaust velocity
- type of propellant used
- engine burn time
- where the probe was sent