A man pushes a 500 kg block along the x axis by a constant force. Find the power required to maintain a speed of 5.00 m/s.
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1 Coordinaor: Dr. F. hiari Wednesday, July 16, 2014 Page: 1 Q1. The uniform solid block in Figure 1 has mass kg and edge lenghs a = 3.5 cm, b = 8.4 cm, and c = 1.4 cm. Calculae is roaional ineria abou an axis hrough one corner and perpendicular o he large faces. ) kg.m 2 ) kg.m 2 C) kg.m 2 D) kg.m 2 E) kg.m 2 Figure 1 Q2. man pushes a 500 kg block along he x axis by a consan force F (100 N) iˆ (200 N) ˆj. Find he power required o mainain a speed of 5.00 m/s. ) 500 W ) 2500 W C) 1000 W D) 750 W E) 300 W Q3. Figure 2 shows four groups of hree or four idenical paricles ha move parallel o eiher he x axis or he y axis, a idenical speeds. Rank he groups according o cener-of-mass speed, greaes firs. ) d, c, a, b ) d, a, b, c C) a, b, c, d D) d, c, b, a E) c, d, a, b Figure 2
2 Coordinaor: Dr. F. hiari Wednesday, July 16, 2014 Page: 2 Q4. block is sliding down on a rough inclined plane. man applies a force o reduce he acceleraion of he block. Le W f be he work done by he fricion force, W m he work done by he man, and W g he work done by he graviaional force. While he block is sliding down, which of he following is TRUE? ) W f < 0, W m < 0, W g > 0 ) W f < 0, W m > 0, W g < 0 C) W f < 0, W m < 0, W g < 0 D) W f < 0, W m > 0, W g > 0 E) W f > 0, W m > 0, W g > 0 Q5. ball is launched upward from he edge of a cliff. Which of he graphs shown in Figure 3 could possibly represen how he kineic energy of he ball changes during is fligh? ) a ) b C) c D) d E) e (a) (b) Figure 3 (c) (d) (e) Q kg ball is hrown wih an iniial velociy of v 18ˆ 10 ˆ o i j, where v o is in m/s. Wha is he maximum change in he poenial energy of he ball-earh sysem during is fligh? ) 100 J ) 100 J C) 50 J D) 50 J E) zero
3 Coordinaor: Dr. F. hiari Wednesday, July 16, 2014 Page: 3 Q kg package is released on a rough 53.1 o incline a 4.00 m from a long spring of force consan 120 N/m. The spring is aached o he boom of he incline as shown in Figure 4. If he maximum compression of he spring is d = 1.00 m, wha is he work done by he fricion force? ) 18.4 J ) 18.4 J C) 60.0 J D) 60.0 J E) zero Figure 4 Q8. The only force acing on a paricle is a conservaive force F. If he paricle is a poin, he poenial energy of he sysem associaed wih F and he paricle is 80 J. If he paricle moves from poin o poin, he work done on he paricle by F is + 20 J. Wha is he poenial energy of he sysem wih he paricle a? ) 60 J ) 100 J C) 20 J D) 80 J E) zero Q9. The force acing along he x axis on an 8 kg objec varies as shown in Figure 5. The speed of he objec a x = 0 is zero. The speed of he objec a x = 5.0 m is ) 40 m/s ) 30 m/s C) 160 m/s D) 80 m/s E) zero Figure 5
4 Coordinaor: Dr. F. hiari Wednesday, July 16, 2014 Page: 4 Q10. dam is 170 m high. The elecrical power oupu from generaors a is base is approximaely 2000 MW. How many cubic meers of waer mus fall from he op of he dam per second o produce his amoun of power if 50% of he work done on he waer by graviy is convered o elecrical energy? (Densiy of waer is 1000 kg/m 3 ) ) ) C) D) E) m 3 /s m 3 /s m 3 /s m 3 /s 3 m 3 /s 1 Q11. Figure 6 shows an approximae plo of force magniude F versus ime during he collision of a 58 g ball wih a wall. The iniial velociy of he ball is 34 m/s perpendicular o he wall; he ball rebounds direcly back wih approximaely he same speed, also perpendicular o he wall. Wha is F max, he maximum magniude of he force on he ball from he wall during he collision? Figure 6 ) N ) N C) N D) N E) N
5 Coordinaor: Dr. F. hiari Wednesday, July 16, 2014 Page: 5 Q kg ruck raveling norh a 41 km/h urns eas and acceleraes o 51 km/h. Wha are he magniude and direcion of he change in is momenum? ) kg.m/s, 39 o Souh of Eas ) kg.m/s, 39 o Souh of Wes C) kg.m/s, 39 o Souh of Eas D) kg.m/s, 39 o Norh of Eas E) kg.m/s, 39 o Souh of Eas Q13. Two bodies, and, each wih 2.0 kg mass collide. The velociies before he collision are v (15i ˆ 30 ˆj ) m/s and v ( 10iˆ 5 ˆj ) m/s. fer he collision, v ( 5iˆ 20 ˆj ) m/s, wha is he final velociy of? ) v (10i ˆ 15 ˆj ) ) v 10iˆ C) v 15 ˆj D) v ( 15iˆ 30 ˆj ) E) v (10i ˆ 5 ˆj ) Q14. Figure 7 shows a graph of a orque applied o a roaing body as a funcion of ime. Wha is he change in angular momenum of he roaing body beween ime = 0 and = 6 s? Figure 7 ) 50.0 kg.m 2 /s ) 10.0 kg.m 2 /s C) 20.0 kg.m 2 /s D) 30.0 kg.m 2 /s E) 40.0 kg.m 2 /s
6 Coordinaor: Dr. F. hiari Wednesday, July 16, 2014 Page: 6 Q15. diver makes 2.5 revoluions on he way from a 10 m high plaform o he waer. ssuming zero iniial verical velociy, find he average angular velociy during he dive. ) 11 rad/s ) 15 rad/s C) 51 rad/s D) 13 rad/s E) 21 rad/s Q16. Wha is he linear speed of a poin on Earh s surface a laiude 40 o Norh? (Radius of Earh = km) ) m/s ) m/s C) m/s D) m/s E) m/s Q17. Figure 8 is a graph of he angular velociy versus ime for a disk roaing like a merry-go-around. For a poin on he disk rim, rank he insans a, b, c, and d according o he magniude of he radial acceleraion, greaes firs. ) b, a & c ie, d ) c, a, b & d ie C) a & c ie, b & d ie D) b & d ie, a & c ie E) a, b, c, d Figure 8
7 Coordinaor: Dr. F. hiari Wednesday, July 16, 2014 Page: 7 Q18. force F ( 8.0 N) iˆ (6.0 N) ˆj acs on a paricle wih posiion vecor r (3.0 m) iˆ (4.0 m) ˆj. Wha is he orque on he paricle abou a poin on he y axis wih y = 4 m? ) (18 N.m) ˆk ) (20 N.m) ˆk C) (16 N.m) ˆk D) (21 N.m) ˆk E) (27 N.m) ˆk Q19. suden of mass M sands on he rim of a fricionless merry-go-around (roaing disk) of radius R and roaional ineria I ha is no moving. He hrows a rock of mass m wih speed v in a direcion ha is angen o he ouer edge of he merry-go-around. Wha is he angular speed of he suden & merry-go-around aferward? mr ) 2 v I MR MR ) 2 v I mr 2mR C) 2 v I MR mr D) v 2 2I MR m E) 2 v I MR
8 Coordinaor: Dr. F. hiari Wednesday, July 16, 2014 Page: 8 Q20. Figure 9 shows a solid ball ha rolls smoohly from res a heigh H = 6.0 m unil i leaves he horizonal secion a he end of he rack, a heigh h = 2.0 m. Wih wha horizonal velociy will he ball leave he rack? ) 7.48 m/s ) 9.38 m/s C) 5.98 m/s D) 2.18 m/s E) 7.11 m/s H = 6.0 m Figure 9 h = 2.0 m
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