In Collision Where Ob Iects Stick -J'J GgW - Wappingers Central School .

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REVIEWfor THIS WEEKSBIG TEST (Momentum,Impulse,& Centripetal), \" MOMENTUM & IMPULSE ". 1 - Knowmomentum, & howsits different from inertia (equ.&units) lo ()K . } // // .'7 15?j /// - /// 2 - KnowConservation of MomentumIn Collision where ob iects stick -J'J @ OEJ {J 0 //// ggW ,,1\ () //// /' 77/./ /' / /' In exIJ/osion - . In collision where they don't stick p. (vie ' 1 /Q/1 ./

3) Impulse & Basic Impulse equation. \ 4) KnowImpulse Change in momentum 5) Momentum and impulse mixed problemsCollision ,.,f - c.jO 'J I Find- A .2kg bullet traveling 200 m/s strikes & imbeds in 3 kg block. Collision time is .01 seconds. :} -1 t -. I -. --;--:.-/ I ,/ / \/ f" - velocity of pair after collision , .- E)' '.' ) --"7 ,.'///// - Change in momentum on ether (SalT/e as IIT/pulse) - Force on ether. Explosion The two lab carts shown are held r Together by spring, Spring is released As shown, Release time is .2 sec. . . ----:;:. 1./., 1 ,- "J ' Q .' .' .' j). JL/If .' ,/, I .'.' I k !W CEJ GO -:-. / Find- - velocity k after of 1./ collision vU ' '.' . - .' , - Change in momentum on ether (SalT/e as IIT/pulse) - Force on ether.

, ". f' \. '(' / e ;V1o,",!.,ftJ 1:; f21!.,",trifef4/ J"'l'O f'-t ."" h.,., I"\fl -tJ ',f:"YJ'.J.L; 1eJ} Q .:J l ((J'1 -.- 1) chobject J has the :most inertia? -. u.h", J, l,u, t M & 6 (II.y:a O.OOI-kilogrambumblebee traveling at 2 meters per second (:2)'a O.l-kilogram baseball traveling at 20 meters per second (3) a 5-kilogram bowling ball traveling at 3 m ters per second (4) a 1O.-kilogramsled at rest g What is the momentum of a 1,200-kiIogramcar traveling at 15 meters per second due east? (1) 80. kg.m!s due east (2) 80. kg.mls due west (3) 1.8 x 104kg.m/s due east (4) 1 8x lQ4kg.m/s due west Q) ;0, lJ.) What is the speed of a 1.0 x l0'3-ldlogramcar that has a momentum of 2.0 x 104ldlogram.meters per second east? (1) 5.0 x 10-2m/s (3) 1.0 x 104 m/s (4) 2.0 x 107 m/s (2) 2.0 x 101m/s . t:) I IJn thf. -Q. C:1.e. eI1N . If the speed ofa car is doubled, of the car is (3) doubled (1) quadrupled (4) halved (2) quartered '. "t)t""I .,l.1"1 '(

Q A 2.0-kiIogramcart movingdue east at 6.0 meters per second collides with a 3.O-kilogram cart moving due west. The carts stick together and come to rest.after the collision.What wasth initial speed of the 3.0-1dlogramcart? (1) 1.0 m/s (3) 9.0 m/s (2) 6.0 m/s (4) 4.0 m/s - -. -. .-. 1: (pot? :::---- The diagram shows a compressed spririgbetween two cartsinitiallyat rest on a horizontalfrlctipnIesssurface. Cart A has a mass of 2 kilogramsand cart B has a mass of 1 kilogram.A string holds the carts together. A I B n 2kg ,(), ,k l, , " @ . After the string is cut and the two carts move apart, the magnitUde of which quantity is the same for both carts? (1) momentum (2) velocity G Hot.l Joe . (3) inertia (4) kinetic energy ve ioc. ;f'l (Jr A What occurs when the string is cut and e carts move apart? (1) The magnitude of the acceleration of cart A is one-half the magnitude of the acceleration of cart B. (2) The length of time that the force acts on cart A is twice the length of time the force acts on cart B. (3) The magnitude of the force exerted on cart A is one-half the magnitude of the force exerted on cart B. (1) The magnitude of the impulse applied to cart A is twice the magnitude of the impulse applied to cart B. .0 "f re. fo f

6) A 1.2-kilogramblock and a l.8-kilogram block are initially at rest ona frictionless, horizontal surface.Whe a compressedspringbetween,the . b1000 is released,the 1.8-kilogrambloc1cmoves to:the right at 2.0 meters per second, as'S11Own. (j) . @ 0 2:0 'rrl/s J . , ? 1.2 kg 1.8 kg ////////- - - - - - - '//////F Frictionless horizontal surface L : ' VVhatis the speed of the 1.2-kilogramblock after the spring is released? (1) 1.4 m/s (3) 3.0 rnls (2) 2.0 m/s (4) 3.6 m/s f-lchJ Jut5 /1 d r: t!:., fLA or -"? /.2/( .O",/,o rc. io I. 'fA' -. ---- " A lab cart is loaded with different masses and moved at various velocities. Which diagram showsthe cartmass system with the greatest inertia? 4 mls ( 1) 3 mls (2) 1.5rnIs -- - 1.0mls . 3 kg 4 kg (3) (4)

- @ , In the diagram below;a 60.-kilogramrollerskater exerts a 10.-newton force on a 30.-kilogram rollerskater for 0.20 second. SO.kg 30. kg What is the magnitude of the impulse applied to the 30.-kilogramrollerskater? (1) 50. N.s' (2) 2.0 N.s if!) (3) 6.0 N.s (4) 12 N.s 1-10v doe; ([j) ve/o(fl'! rcDt :0 "I/r3. r- 7 Two carts are pushed apart by an expanding spring, as shown in the diagram be ow. 2k9J--. I H the average force on the I-kilogram cart is 1 newton, what is the average force on the 2-kilogram cart? . (1) 1 N (2) 0.0 N (3) 0.5 N (4) 4 N fo /e. !e c./f '/ 301\

@ A 0 At the circus, a 100.-kilogramclown is fuedat 15 meters per second from a 500.-kilogram cannon. What is the recoil speed of the cannon? (1) -75mls (3) 3.0 m/s (2) 15 m/s(4) 5.0 m/s (9 A3.0-kilogramsteel blockis at rest on a frictionless horizontal surface. A 1.0-kilogramlump of clay is propelled horizontallyat 6.0 meters per second toward the blockas shownin the diagram below. Steel block Clay 6.0 mls 3.0kg Frictionless surface Upon collision, the clay and steel block stick together and move to the right with a speed of (1) 1.5 m/s (3) 3.0 m/s (2) 2.0 m/s (4) 6.0 mls '. ' . In the diagram below, a block of mass M ini y at rest on a frictionless horizontal surface is struck - bullet of mass m movingwith horizontalvelocityv. ' . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .-.,.,.,.,.,.,.,." . . . . .". . . . . . . .i . . . . . . . .L ., .,. . .,.,.,.,.,.,.,.,.,.,.,.,.,.,. '. "'-'-o.;. . . - --- . . . . . . . . . . . . . . . . ','.'.,., .,.,.,.,.,,"'. J'P .'''.,,!, '::' '::' ':. . . What is the velocity of the bullet-block system after the bullet embeds itseif in the block? (1) (M V)m (3) (m v)m. (2) (m M)v (4) (m7M)v

1. , o/ / . Base your answers to questions 66 through 68 on the information and diagrambe1ow. A 1000.-kIlogramemptY,cartmovingwith a speed of 6.0 meters per secona is about to collide with .a stationaryloaded:cart having a total mass of 5000. kilograms,as SllO'INIl. After the collision, the carts loCk and move together. [Assumefrictionis negligible.] . 6.0 mls Vol . Vol 0.0 mls 1000. kg Qj) 66 Calculate the speed of the combined carts after . @ tion and substitution with units.] . 68 How does the kinetic energy of the combined carts after the collision compare to the kinetic energy of the carts before the collision? [1] i", "b . @ @ [2] 67 Calculate the kinetic energy of the combined carts after the collision.[Showallwork,including the equation and substitutionwith units.] [2] [ ,,' qE; the collision. [Show all work, including the equa- 0." I-I'''';} . A 2,400-kilogram car is traveling at a speed of 20. meters per second.Compared to the magnitude of the force required to stop the car in 12 seconds, the magnitude of the force required to stop the car in 6.0 seconds is . 1 half as great 3 the same 2 twice as great 4 four times as great 41 Which two quantities can be expressed using the . same units? (1) (2) (3) (4) energy and force impulse and force momentum and energy impulse and momentum \

GJ 11 A O.lO-kilogram model rocket's engine is designed to deliveran impulse of 6.0 newton- . seconds. If the rocket engine bums for 0.75 second, what averageforce does it produce? (1) 4.5 N (3) 45 N (2) 8.0 N (4) 80. N @ t;, lOOO-kilogram cartraveJing due east at 15 meters " r second is hit frombehind and recei,vesa forimpUlse of 6000 newton-seconds. ermine the magnitude of the car's change in .jementum due to this impulse. [1] . }."'-Je"J --- /-'1 ').-J :; - L t{ -3 j-L-f "-'1 0,-1 11-J If) 0- - 7. v'1 21. I - I - V/,11 :2.30 I ':: J,.v I I.{ jdt"l t " -I -J - I 17- '-{ l:i - I " 5 Ic.r-- ]Doc1') 2D - IeJJ Z/ - 2. 2.:2.-- '-I 2.1-- L 23 - b-p:: "5 (o-O()11 ;J. j I!i.

the collision, the carts loCk and move. together. [Assume friction is negligible.] Qj) @ \ Vol 6.0 mls. Vol 0.0 mls 1000. kg 66. Calculate the speed of the combined carts after the collision. [Show all work, including the equa-tion and substitution with units.] [2] 67 Calculate the kinetic energy of the combined carts after the collision .

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