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# midterm1Sol - Problem 4 Collisions a) Provide an example of...

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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. 2' A” a B U “i 1 3M V — A 4:1“ Mai/5" 2P; :ZP-f )Mmé" :3 \ ‘ "(-0 1- {2)(5) coast/Hz : a] Th] :3) Z __ q o = P15 “ K? "Va. Zr. q%/s {‘3’ ti. W 1:. {1‘ Id? [4% c) What is the velocity of the two marbles after the collision? (5pts) 5%: l = (wow (it: V1: 2 '7, IV ti =- 3 V6 if) V-F ; 5 "V4. 7.6 {1c ;’— (“4“ 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~_;,)_ :'S‘l“§'.“1 r £7315 :215‘3} if“ .. __, I lD—j of“ F6 M 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) A Q11 {flirt M“ a "\ gel!“ Mai/C {"1 a Cir-wig;- and .65 a; lam-,5 Mme/til ivwa; 15M W 0F 6w: CJV‘QQ_ ﬂ“ &H{r:Fla‘( agree [5 (ﬁre 73rd; glut; I} 1") ﬁlo/M 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+ 15-1 lid-P“ 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) 144:7 {L4, 14/31 406553 0" ﬁ" 091'“ 1"“- ‘é‘t OFM’M (Ii/WW1 0F .5“ obj—[ﬂy when. ﬁr Pﬁk—J 7"“.- CW up a {)4 Car fall} Wat-M115, 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 i5"? F3 *7“? M—Ji’hﬂ: {‘z. 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 FM-t' “‘5 1:3 " Farm FM? 3 mg..- Ex, 0 '-'- IOD'm «Edi-I. 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' F T: I .r" f- : : “[000 has m I} 15’ 2LT TEM- Fwﬁm'éloo-lﬁlh #1, J/ (00 : 175;? "'la’p 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 drrrqﬁ-oq {1e Lu!" {aw/5 (,1- 4 301—4 NC ) U0)! 3 (a K/d- 4” S 46¢ - Ll; X : V9)! Ié / 5;; ’K ‘2' X ‘: l0-5 7:. 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 0-5-3 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,“ TM 'Fﬁl.’ ﬁfa if fol/EVA in {1" . 01 rat/w». ...
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## midterm1Sol - Problem 4 Collisions a) Provide an example of...

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