Goal: Problem solving with Coulomb’s law
Source: UMPERG-A2LEM4

What is the size of the electrical force on the charge q shown in the diagram?
- √2kqQ/(4a2)
- kqQ/a2
- √2kqQ/(2a2)
- kqQ/(2a2)
- None of the above
Goal: Problem solving with Coulomb’s law
Source: UMPERG-A2LEM4

What is the size of the electrical force on the charge q shown in the diagram?
Goal: Reasoning with electric forces
Source: UMPERG-A2LEM5

What is the direction of the electrical force on the charge q shown in
the diagram?

(3)
Goal: Reasoning with Coulomb’s Law
Source: UMPERG-A2LEM3

Three charges are positioned on the x-axis as shown. What is the
direction of the electrical force on the right-most charge?

(1) Students who forget to square the denominator in Coulomb’s law will answer (5).
Goal: Hone the vector nature of electric force.
Source: UMPERG-A2LEM2

Two charges, a negative charge Q, and a positive charge q, are
positioned as shown in the diagram. What is the direction of the
electrical force on q due to Q?

(3) The force is attractive.
Goal: Hone the vector nature of electric force.
Source: UMPERG-A2LEM1

Two positive charges, Q and q, are positioned as shown in the diagram.
What is the direction of the electrical force on q due to Q?

(1) The force is repulsive.
Goal: Reasoning about temperature.
Source: UMPERG-ctqpe186

Two moles of an ideal gas fill a volume of 10 liters with a pressure of
2.4 atm. The gas is thermally insulated from the surroundings. A
membrane is broken which allows the gas to expand into the new volume
which is 3 times as large as the old volume. The new temperature is …
(1) Students may erroneously apply prior knowledge that gas cools as it
expands. Some will likely think that the answer cannot be determined
without more information.
Goal: Hone vector nature of electric fields
Source: UMPERG-em97Q

Two uniformly charged rods are positioned horizontally as shown. The
top rod is positively charged and the bottom rod is negatively charged.
The total electric field at the origin
(6) Along the y-axis, by symmetry, the electric field due to either rod
points along the y-axis. At the origin the contribution to each rod is
the same and points down.
Goal: Problem solving with the ideal gas law
Source: UMPERG-ctqpe184

Two moles of an ideal gas fill volume V = 10 liters at pressure P = 2.4
atm. The gas is thermally insulated from the surroundings. A membrane
is broken which allows the gas to expand into the new volume which is 3
times as large as the old volume. The new pressure is:
(2) Some students may wonder about the applicability of the ideal gas
law for free expansion. Some may respond (7) thinking that since gas
cools as it expands, they do not know what the final temperature is and
cannot, therefore, use the ideal gas law.
Goal: Problem solving
Source: UMPERG-ctqpe182
What temperature reading (if any) would have the same numerical value on
both the Celcius and Fahrenheit temperature scales?
(2) This is a standard problem useful for determining whether students
are comfortable converting between the two temperature scales.
Goal: Reason with rotational dynamics.
Source: UMPERG-ctqpe138

A spool has string wrapped around its center axle and is sitting on a
horizontal surface. If the string is pulled at an angle to the
horizontal when drawn from the bottom of the axle, the spool will
(4) The motion of the spool depends upon the angle θ. When the line of
action of the force passes through the contact point the spool will
slide and not rotate. At lower angles it will roll to the right and at
higher angles it will roll to the left.
Commentary:
Answer
(3) It is a common mistake to forget to take the y-component of the
force.