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Unformatted text preview: Problem 4 Collisions a) Provide an example of a perfectly inelastic collision. Are momentum and kinetic
energy conserved? (7 pts) R in) 6t w‘Adﬁk'ﬂd. 03411.] Mani{aim 1; @MSVwA 1)) Assume marble A, with a mass of 1kg, is moving towards Marble B at a speed of
lm/s. Marble B, with a mass of 2kg, is moving towards marble A with a speed of 5 m/s.
If the collision is perfectly inelastic, what is the momentum of the system after the collision? (8 pts) :9 4:3 ' (a a f ' $54.
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Id? [4% c) What is the velocity of the two marbles after the collision? (5pts) 5%: l = (wow (it: V1: 2 '7, IV
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i; r. d) How much kinetic energy is lost during this collision? [5pts) ,_ f q j _... “L 2' I Z div." fa] ' _. 31544 if“ «fa 11MBVB; 1" Mose + a my)?— Z’tEp—«Zte =3r3.5~_;,)_
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5 it? ' '31 "14,: mﬁ)vl km“ Problem 1: Short Answers. Please provide a short answer to the following questions: a) What is the difference between centripetal force and centrifugal force? (5 pts)
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W0 Vfaa {h a CFO/(Q and ﬂ ﬁ 54! ﬁt“? $1M... .64“ (Max OP 4‘1"" care/(e. b) Imagine a child swinging back and forth on a swing. At what point(s) is his potential
energy the largest? At what point(s) is his kinetic energy highest? (5 pts) P E' haw": m” 75" {‘99 Qﬁ ‘5 Mia‘bﬁz PW PM,
KE. Lake? 4+ 151 lidP“ 9‘: {m tirajm’arq a, , K
0) Each of the following examples involves the ﬂoor exerting some type of impulse to E“? stop the object’s velocity. Arrange the examples in order from smallest impulse to largest
impulse. Note that two of the examples require the same impulse. (5 pts) 1) an egg rolling off a table of height, h, and landing on a hard ﬂoor 2) throwing an egg downwards from a height, h, and it landing on a hard ﬂoor
3) an egg rolling off a table of height, h, and landing on a cushioned ﬂoor 4) throwing a watermelon downwards from a height, h, and it landing on a hard ﬂoor Ft : a? : {swim/tit SwltaJc a Hag/«t [‘25], 22 L; Sinus. (1) Provide an example of a force doing negative work. (5pts)
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ﬁr Pﬁk—J 7"“. CW up a {)4 Car fall} WatM115, e) Consider the equation describing the weight of a mass on Earth, and the universal law
of gravitation. Combine these to get an expression for g in terms of the mass of the Earth
(M5), the radius of the Earth (IE), and the universal gravitational constant (G). (5pts) .le :GMI’MZ
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3.16%): Problem 2: Forces a) A parachuter with a mass of IOOkg jumps out of a plane. Before he opens in his
parachute he experiences 200N of air resistance as he falls. What is his acceleration? (7 FM 5 300A;
+i, i at =ma
€35”; 8’00: [004 b) He then opens a small parachute, and he reaches a constant velocity as he falls. What
is his acceleration at this point? (4 pts) Content UétDCA7 :9 Ctr‘5’ c) What is the force of air resistance that he experiences now that he is using the small
parachute (5 pts) 01:0 :9 FM! :0
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FM? 3 mg.. Ex, 0 '' IOD'm «EdiI. ai‘r 3 NWN “1" “V45 d) Now the man opens a larger parachute, and he experiences an acceleration upwards of
1 111/32. What is the force of air resistance now? (9 pts) N”: a if veeréd '5'
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Fgcmactmw a]? :1 HOD/U Upward; Problem 3 Projectile Motion a) A cannonball is shot horizontally with a velocity of lOrm’s off a cliff 125m high. How
long will it take the cannonball to hit the ground? (assume no air resistance) (8 pts) ‘ ﬁvb‘x: :55 aﬁfl) reg/4'; é=z
13m b) How far from the base of the cliff will the cannonball land? (5 pts)
1"“ {1‘4 Liam‘zant‘ﬂ drrrqﬁoq {1e Lu!" {aw/5 (,1 4 301—4 NC )
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X :5 50M 0) Another cannonball is shot vertically at some unknown velocity. It reaches a maximum
height of 125m. For how long is this cannonball in the air? (6 pts) 845“ a" a” 55W” {=0 45; H“ W": 540: 14
a 053 15»... 4 1%!ij 0;: [33“) 39 It ‘1',“ d) Why is there no acceleration in the horizontal directiou? (6 pts) (Bng ﬁre/1 U m Faro: In W Meme! An,“
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 Winter '08
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