Exam 1: Tomorrow 8:20-10:10pm

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1 x : Toorrow 8:0-0:0p Roo Assignents: Lst Ne Roo A-D CCC 00 -J CS A0 K- PUGH 70 N-Q LI 50 R-S RY 30 T-Z W 00 redown o the 0 Probles teril # o Probles Chpter 4 Chpter 3 Chpter 4 6 Chpter 5 3 Chpter 6 5 Crib Sheet: Clcultor: You y bring single hnd written orul sheet on 8½ x inch pper (both sides). You should bring clcultor (ny type). Scrtch Pper: We will proide scrtch pper. R. ield 0/04/0 PHY 053 Pge

2 x : Toorrow 8:0-0:0p Roo Assignents: Lst Ne A-D -J K- N-Q R-S T-Z Crib Sheet: Roo CCC 00 CS A0 PUGH 70 redown o the 0 Probles teril Chpter Chpter 3 Chpter 4 # o Probles LI 50The exs re diicult! Chpter 5 3 We he to ind out who is good RY 30 Chpter 6 5 t proble soling nd who is not. W 00 xpect n erge o ~/0 with high 0 nd low 4! You y bring single hnd written orul sheet on 8½ x inch pper (both sides). 4 6 Clcultor: You should bring clcultor (ny type). Scrtch Pper: We will proide scrtch pper. R. ield 0/04/0 PHY 053 Pge

3 x ll 00: Proble 4 A otorist dries long stright rod t constnt speed o 80 /s. Just s she psses pred otorcycle police oicer, the oicer tes o ter her t constnt ccelertion. I the oicer intins this constnt lue o ccelertion, wht is the speed o the police oicer when he reches the otorist? Answer: 60 /s % Right: 8% x cr cr cr ( t) ( t) t x cop cop cop ( t) ( t) t t Let t c be the tie it tes or oicer to rech the otorist. x cr ( tc ) xcop( tc ) 0 0t c tc t c 0 ( tc ) tc cop 0 R. ield 0/04/0 PHY 053 Pge 3

4 x ll 00: Proble 8 R. ield 0/04/0 A C Three blocs (A,,C), ech hing ss A,, C re connected by strings on horizontl rictionless surce s shown in the igure. loc C is pulled to the right by horizontl orce o gnitude tht cuses the entire syste to ccelerte. Wht is the gnitude o the net horizontl orce cting on bloc due to the strings? Answer: / % Right: 4% ( A ( A net + A + A + C ) ) A A C A A + + C PHY 053 Pge 4

5 x ll 00: Proble 9 The igure shows two blocs with sses nd connected by cord (o negligible ss) tht psses oer rictionless pulley (lso o negligible ss). I 5 wht is the gnitude o the ccelertion o bloc when relesed ro rest? Answer: g/3 % Right: 85% T g T g ) g ( ( + ) + g R. ield 0/04/0 PHY 053 Pge 5

6 x ll 00: Proble ext θ Ner the surce o the rth, bloc o ss g slides long the loor while n externl orce ext is pplied t n upwrd ngle θ 6 o. I the coeicient o inetic riction between the bloc nd the loor is 0.488, nd the gnitude o the ccelertion o the bloc is.89 /s, wht is the gnitude o the externl orce? Answer: N % Right: 59% ext ext cosθ sinθ + N µ N g x 0 ext ( x + µ g) cosθ + µ sinθ R. ield 0/04/0 PHY 053 Pge 6

7 x Spring 0: Proble A rce cr ccelertes uniorly ro speed o 40 /s to speed o 58 /s in 6 seconds while treling round circulr trc o rdius 65. When the cr reches speed o 50 /s wht is the gnitude o its totl ccelertion (in /s )? Answer: 5 % Right: 49% t t r (58 / s) (40 / s) t 6s (50 / s) 4 / s R / s tot t r 3 / s R. ield 0/04/0 PHY 053 Pge 7

8 x ll 00: Proble 3 Ner the surce o the rth stone o ss sits t rest on n elstic spring (i.e. Hooe s Lw spring) which is copressed distnce d by the stone. Wht is the spring constnt? Answer: g/d % Right: 3% x g 0 g g x d spring x g R. ield 0/04/0 PHY 053 Pge 8

9 x Spring 0: Proble 4 Ner the surce o the rth, cr is treling t constnt speed round lt circulr rce trc with rdius o 50. I the coeicients o inetic nd sttic riction between the cr s tires nd the rod re µ 0., µ s 0.4, respectiely, wht is the xiu speed the cr cn trel without slipping? Answer: 4 /s % Right: 74% x R. ield 0/04/0 s N x g rdil y 0 R s µ sn R R R ( s ) x ( µ sn) ( µ sg) µ sgr x-xis µ s gr (0.4)(9.8 / s )(50) 4 / x PHY 053 Pge 9 R s y-xis s N

10 x ll 00: Proble 9 A projectile is ired stright upwrd ro rth's surce with speed tht is hl the escpe speed. I R is the rdius o rth, the highest ltitude reched, esured ro the surce o the rth, is: Answer: R/3 % Right: 9% scpe Speed i esc esc G R 0 G R i G R G r r R ( ) esc / 4 3 h r R 3 R R. ield 0/04/0 PHY 053 Pge 0

11 x ll 00: Proble 0 A horizontl orce o gnitude 35 N pushes bloc o ss 4 g cross loor where the coeicient o inetic riction is 0.6. Wht is the increse in the inetic energy o the bloc when the bloc slides through displceent o 5 cross the loor? Answer: 57.4 J % Right: 5% W i + W i W ( ) d ( µ g) d K ( µ g) d (35N 3.5N)(5) 57. 4J R. ield 0/04/0 PHY 053 Pge

12 x ll 00: Proble 7 y-xis x-xis h 45 o x 0 R. ield 0/04/0 x-xis Ner the surce o the rth bloc o ss nd initil elocity 6.97 /s is sliding to the right long the (negtie) x-xis s shown. The surce is rictionless or x < 0. At x 0 the bloc encounters 45 o incline rp. I the bloc stops t height h 9.8, wht is the inetic coeicient o riction o the rp? Answer: 0.5 % Right: 4% i W i + W gh d x 0 µ tnθ gh µ N PHY 053 Pge N g cos θ 0 h d 45 o

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