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Unformatted text preview: E] Physics 220 — Exam #1 February 1E 20M This exam consists of 14 problems on T pages. Please check that you have them all. All of the formulas that you will need are given below. You magir also use a calculator. sin9=yfr cosﬂaxfr tan9=yfs
r
3’
_, d a. lad .—
average speed — W p — 9.3 rnl's2 average velocity = 1? = %, average acceleration = E“ = ﬁ—f instantaneous velocity = slope of position versus time instantaneous acceleration = slope of velocity versus time For constant acceleration:
= on + out + %ﬁt2
= tin + at a“ = 1:3 +2o[a—mn) I
‘U F = m5 quﬁty ﬂan = as” {static friction] Floss: = a? G = as? x 1oll N . mange
F friction —' JunN {kinetic friction] 5.: = 9.0 x 109 N _ mifmuls 1. Two blocks of mass m1 = 5.5 kg and m; = 14 kg are connected by a moseless string that
runs over a pulley as shown. If there is no friction between 1111 and the table, find the
tension in the string. o)'i.DN
bJTB N
c)19 N
(1)93 N
e) 39 N 2. In a total of LC! hr, 9. small heat travels 81] km North and then troveie 60 km east.
What is the boat‘s average velocity' (kmfh) during the one hour trip? a) ﬁt)
h} 80
c} 160
d) 129
e) 16E! 3. A car, moving at the constant speed of 315 km per hour, enters {att = ii) a ramp heading North.
[Zine minute later, it completes the turn and travels toward the East. Find its average acceleration (both magnitude and direction). a) (Li? mils}, due East. h} [124 mfsz, due SouthEast
c} I124 misz, due NorthEast
d] ill? noel, due SouthEast
e} Ill? mfsz, due NorthEast 4. A charged particle {charge Q, mass M} is separated from another {charge :1, mass m] by a
distance 1'. Let both charges be negative: Q =  th, q = + tqt. The magnitude of the force
between them is: a} GvM—iﬂ I’ 5. The Mars rover "Spirit" has a mass ef{appreximstely) 5100 kg. Let R be the ratio of its
weight en Mars tn that an Earth , R = (weight on MarsMweight en Earth). Find It (Earth: Mass = 5.93 x in“ kg; Radius ~= sss x 106m)
(Mars: Mass = ens x it)” kg; Radius = 3.39 K 106m} 5} 5.13 h) {138
e) 0.23
(1] {1.11
e} 2.61 e. A tennis ball is dropped Earn the top of the Purdue Belt tewer. It takes 2.3 s for the ball
to reach the ground. What is the height of the tnwer? Assume that the initial veieeity of
the ball is zero, and ignore air resistance. a) 52111
b] Elihu
e} 9.8m
:1) 120m
e] 25m r. d stone is dropped from rest down ehole and fails a distance D in a time us. How
far will it fall in a time t? $13!?
h} 31)
e) DIE
d} D of: 9D 3. Two persons on opposite sides of a charmel pull a boat that has a mass of 1m} kg. Each
pulls with a foree of 24 N at an angle of tit)", as shown in the figure below. What is the
boats deceleration just as they start to pull if there is a frictional force of 4 N on the boat that resists their effort? a) on mfsecz
b} oze rufﬂe:12
e} use misuse2
d} so WEED:
a} so mch 9. Consider a person wearing special frictionless skis sliding down the ramp shown
below. If the skier starts from rest, what is the time needed for her to reach the bottom of
the ramp“? Ignore air resistance. a) 2.3 s
b) 5.5 s
c] 3.2 5
ti} 4.1 s
e) 10.2 s 10. Consider a box which is suspended by two cahles as shown below. Find the tension
in the cable on the left. Assume that the cables are massless. a] TM N
b} zero . s
c} 1'5 N 45 45
s) ssc N . .
e] 533 N 75 kg t 1. An arrow is shot with an initial speed of tit} this at an angle ofﬁD' with respee to the
horizontal. What is the speed of the arrow When it reaches the point of maxim height on
its trajectory? Ignore air resistance. a} 30 this
b} 15 1111's
e) f: nn's
:1) zero
e} 52 mfs 12. A reek is thrown directly upwards from ground level with an initial velocity of 25
Me. What is its speed when it is at a height of 2H m above the ground“? a) 5.0mi's
b) 23C! rrn's
e] 2U this
:1} 5'3 ntfs
e) 115an 13. In World War I the German army constructed a very large cannon. The shells ﬁred by
this cannon had a muzzle velocity of 1.8 knits. It‘ the cannon was aimed at an angle 3D“
with respect to the horizontal, find the range. Ignore air resistance. a) loilkrn 1:] seem c} Zﬂﬂkm a) 1.4x1o4m e) 13km 3n” Vo 14. A crate of mass m1 = 15 slides down an inclined of angle El = 4i)“ as shown. If the
coefﬁcient of kinetic friction betwoen the crate and the plane is at: 5 I125. ﬁnd the acceleration of the crate. a) oas me2 b] as W51
c} as mist ‘
a) 4.4 this:
e] 1.9 ma2 ...
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 Spring '09
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 Acceleration, Mass, Velocity, OAs, Noel, Purdue Belt

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