FINAL
1) A cannonball is fired at an initial
velocity of 44 m/s, 58°above
the horizontal (?).
Vo = 44 m/s
Ө =58°
Find: (a) total time in flight
(b) maximum height reached
(c) range (max distance)
20 m/s
2) An object of mass 36 kg
traveling +20 m/s collides
with a second object of mass
24 kg traveling +12 m/s.
If the collision is perfectly:
a) Inelastic, find Vf
Vf
12 m/s
=?
(a)
20 m/s
Vf1
12 m/s
(b)
b) Elastic, find vf1 and vf2.
A
C
3) A car of mass 250 kg starts at the top
of a 32 m high track. The roller coaster
travel to its lowest point, then rises to
a level of 20 m. Find:
(a) the total mechanical cause of the system,
(b) find the car’s velocity at point B and at point C.
B
=?
Vf2
=?
1
FINAL
4) Ray diagrams:
(B)
(A)
O
f
O
f
For each concave mirror above, use ray diagrams to locate each image.
Then Identify if the image is virtual or real, upright or inverted, enlarged or reduced.
5) A ray of light traveling through crystal (n = 1.71)
passes through a surface into air (n = 1.00).
If the angle of incidence (Ө1) is 20°,
Ө2
Find the angle of refraction (Ө2).
Ө1
6) If the frequency of a radio wave is 103 MHz,
what is its wavelength?
(1 MHz = 1 x 106 Hz)
2
FINAL
7)
①
q1 = + 8.0 x 10 -9 C
q2 = + 5.0 x 10 -9 C
.15 m
②
q3 = ─ 12.0 x 10 -9 C
③
.27 m
Three static charges are arranged as shown. Calculate the net force (magnitude + direction)
acting on charge 2.
8)
(a)
nnn
5Ω
nnn
9Ω
nnn
7Ω
R
Rcq = ?
5Ω
lTOTAL = ?
9Ω
V
I
P d
7Ω
28 V
6Ω
nnn
(b)
3Ω
nnn
2Ω
nnn
Req = ?
lTOTAL = ?
R
5Ω
9Ω
7Ω
12V
In each circuit above, find Req and IT. Then, for each resistor, find:
the voltage drop across, the current flowing through and the power dissipated.
V
I
P d
3
FINAL
9)
60°
Find the results vector from adding these two displacements.
22°
4