physics 2 f09: practice final
TRANSCRIPT
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~ t
A
.-
P2 Sample Final (30 minutes)
VECTOR PROBLEMS
1. What is the vector sum of a vector with magnitude 4 at -60 degrees d magnitude 4
at +60 degrees?
a) Magnitude 4, +90 deg b)Magnitude 8, 0 deg
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f
KJNEMATIC PROBLEMS, Ignore Air resistance
8 You wish to throw a basketball straight up to a rim at a height of 3 meters from the
ground. Suppose
you
try to do this from your knees so the ball leaves your hands at a
height
of
1m.
What
spee
do you need to throw the basketball
Ignore
the
fact that the
basketball has finite size.
You
simply want the center
ofthe
basketball to reach the rim.
(Use
I
=10
mls
2
c 60)lJ2
rnls d)60
mls
e)none
of
the previous
9)A ski jumper leaves the ramp at an angle of 30 deg up from horizontal with a speed of
10 mls. What is the direction of the jumper 2 seconds after leaving the ramp? Use Igl=lO
m/s
2
a erfectly horizontal b) 60 deg up from horizontal c) 60 deg down from
horizont d) 30 deg
up
from horizontal e)30 deg down
om
.
10 if
the ski jumper in the previous problem barely clears a wall that extends 1.24 meters
above the level of the ramp,
how
far from the ramp is the wall?
a) 2m ) 0.5 m d) it must be below the ramp
e) none
of
the preVIOUS answers
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1) Cars A and B approach each other at a four way intersection. Car
A s
velocity
is
given
by
(40,0) meters/second. Car
B s
Velocity is given by (0,30) meters per second. What is Car
B s
velocity (and speed) relative to
A?
And car A s velocity (and speed) relative to
b?
A
B
2) Joe is in a helicopter with velocity 20
i
0
j
He throws an orange out
of
the helicopter
with velocity 10m/s i Omls j. The helicopter
is
100 meters from the ground Where (in
meters, x and y coordinates) does the orange land with respect to where the helicopter
was
when Joe threw the orange? Where does the orange land with respect to where the
helicopter
ctu lly
is at
the
time
it
hits
the
ground?
3) (2D projectile motion) During a tennis match, a player serves at a speed
V
o
with the ball
leaving the racquet at 5.0
0
below the horizontal. The release point of the ball is 2.4 m above the
court surface. The ball barely clears the net that
is
2
m away and 0.90 m high. (a) What is value
ofvo? (b) In what direction (with respect to the vertical) is the ball moving as it clears the net and
how fast is it moving?
4) A pulley wheel
of8.0
cm in diameter has an 18.0 m long cord wrapped around its periphery.
Starting from rest, the wheel is given a constant angular acceleration of2.0 rad/s
2
Assume that
the rotation is CCW direction. (a) How many revolutions must the wheel turn when the cord is
completely unwound? (b) How long does it take to unwind the cord completely? (c) What are the
tangential velocity and the centripetal acceleration
of
the end-piece
of
the cord just before it
leaves the wheel?
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3.
(2D projectile
motion) During
a
tennis
rnatch
a
player
seFes
at
a sped v" with the ball
leaving the
racqut at 5.0" below the horizonlal.
The rlease
point
ofthe
ball is 2.4 m above the courl surfac.
Thc
ball barely clears the
net
that
is
12 m away and
0 90-m
high
(a)
w1lat
rs
value ofvo?
0)
What
is the
tp?d
.r
and thc angle ol the ball.
wlth
rcspecl to the
h#i. as
,t
clears t],e
net'
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4.
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