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Transcript
Name
Per
AP Physics Daily Problem #111
A 5.0C particle of mass 5.0g is located between two 10C particles that are fixed in
place. It is located 0.5m from the left particle and 1.5m from the right particle. Neglect
gravity.
10C
5.0C
10C
0.5m
1.5m
In a perfect world, what will the 5C particle do when it is released?
Determine the electric potential energy of the 5C particle at its starting location. Hint:
is energy a vector or scalar quantity?
Determine the electric potential energy of the 5C particle as it passes through the
midpoint between the 10C particles.
Determine the velocity of the 5C particle as it passes the midpoint.
The world, unfortunately, is not perfect. The 5C particle escapes. Determine its
maximum speed.
Name
Per
AP Physics Daily Problem #112
A 5.0C particle of mass 8.0g is located 0.5m from a 10C particle. It is released and
allowed to move to a point 2.5m from the 10C particle. You will be asked to make
some graphs below.
10C
0.5m 5.0C
Use at least four data points for each graph.
Do your calculations on the back of this sheet.
2.5m
Draw a graph of the force on the 5.0C particle as it moves between the two locations
1.0m
2.0m
3.0m
Draw a graph of the potential energy of the 5.0C particle as it moves between the two
locations. In the same space, draw a graph of the kinetic energy of the particle as it
moves.
1.0m
2.0m
3.0m
Draw a graph of the speed of the 0.5C particle versus distance traveled.
1.0m
2.0m
3.0m
Name
Per
AP Physics Daily Problem #113
A –10C particle and two 5C particles are arranged as shown. The two leftmost
particles are fixed in place. The rightmost 5C particle has a mass of 50g and is released
from rest. Neglect gravity
5.0C
-10C
0.5m
2.5m
What will the rightmost particle do after it is released?
Determine the location (relative to the fixed 5C particle) where the released particle will
have no acceleration.
How close will the released particle come to the fixed 5C particle? (Hint: What will
the KE be at this location? All the rest will be Electric PE!)
5.0C
Name
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AP Physics Daily Problem #114
A capacitor consists of two metal plates of diameter 50cm separated by a gap of 0.5mm.
It is placed in a vacuum.
0.5mm
50cm dia
What is the capacitance?
If the capacitor is connected to a 50V source, how much charge will be stored on the
plates?
How much energy will be stored in the capacitor?
Name
Per
AP Physics Daily Problem #115
(1979 #7)
Two small spheres, each of mass m and positive charge q, hang from light threads of
length L. Each thread makes an angle θ with the vertical as shown.
On the diagram below, draw and label all forces on sphere I.
θ
m,q
I
m,q
I
Develop an expression for charge q in terms of m L, g, θ, and k (Coulomb’s law constant)
Name
Per
AP Physics Daily Problem #116
George of the Jungle (100kg) swings on a long vine from a 5.0m high cliff. At the low
point of his swing, he grabs Ursula (50kg) and continues his swing. How high above
ground level will the swing carry George and Ursula? Explain each step of your solution.
George
Ursula
Bonus question: What was George’s elephant’s name?
Bonus bonus question: What was George’s ape’s name?
Name
Per
AP Physics Daily Problem #117
(1981 #3)
A small conducting sphere of mass 5x10 kg attached to a string
of length 2.0x10-1m is at rest in a uniform electric field E
directed horizontally to the right. There is a charge of 5.0x10-6C
on the sphere. The string makes an angle of 30 with the
vertical.
In the space below draw and label all real forces on the sphere.
-3
30
Calculate the tension in the string and the magnitude of the electric field.
The string now breaks. Describe the subsequent motion of the sphere and sketch on the
following diagram the path of the sphere while it is in the electric field.
E
Name
AP Physics Daily Problem #118
Per
(1971 #2)
A battery having a potential difference of 180V is
connected across a capacitor as shown here. The electric
field in the evacuated region between the capacitor plates
is uniform. The distance between the plates is 0.6cm and
point P is 0.4cm from the lower plate.
+
180V
0.4cm
Find the magnitude and direction of the electric field at point P.
Find the electric potential difference between point P and the lower plate.
An electron is released from rest on the lower plate. Find the instantaneous speed of the
electron as it passes point P. (You should know at least two ways to do this!)
P
0.6cm
Name
Per
AP Physics Daily Problem #119
A wire has a diameter of 1.5mm and a length of 30m. If
the wire is made of silver, what is the resistance of the
wire?
30m
If a current of 5.0A flows through the wire, what is the voltage drop?
A resistor has a color code of yellow-violet-orange-silver. What does this mean?
1.5mm
Name
Per
AP Physics Daily Problem #120
A battery having a potential difference of 12V is
connected across a 50Ω resistor.
Find the current flowing through the circuit.
Find the power consumed by the resistor.
How many electrons flow through the resistor per second?
Which way does the current flow through the resistor?
Which way do the electrons flow through the resistor?
+
12V
50Ω