TOPICS: MECHANICS AND PHYSICS
1. The driver of a car traveling at 25 m/s needs to quickly reduce reduce the cars speed to 16 m/s to round a curve in a highway. If the deceleration has a magnitude of 6 m/s2, how far does it travel while reducing the speed? A 25.25 m C 29.25 m B 27.75 m D 30.75 m 2. A high jumper leaps into the air with with an initial speed speed of 5.8 m/s. m/s. how high high will she she be a t the top her flight? A 1.7 m C 2.1 m B
1.9 m
D
2.3 m
3. An airplane traveling horizontally horizontally at 78 m/s at an elevation of 210 m drops drops bales of hay hay to cows stranded in a snow storm. At what horizontal distance from the cow should the bales of hay be dropped? A 510 m C 610 m B 560 m D 660 m
4. A skier wishes to to build a rope tow to pull herself up up a ski hill that is is inclined at 15° 15° with the horizontal. Calculate the tension needed in the rope to give skiers 54 kg body a 1.2 m/s2. Ignore friction. A 202 N C 242 N B 222 N D 262 N
5. Police investigator observes skid marks 30 m long left by a 1200 kg car. The car skidded to stop on a concrete highway highway having a coefficient of kinetic friction with the tires of 0.80. Estimate the cars speed at the beginning of the skid. A 17.7 m/s C 21.7 m/s B 19.7 m/s D 23.7 m/s
6. A cement truck truck full of cement cement has a mass of 42,000 kg. kg. It travels at a speed of 40 mi/hr. mi/hr. calculate the trucks momentum in kg-m/s. A 3.9 x 105 C 6.6 x 105 B 4.8 x 105 D 7.5 x 105
7. A golf club strikes strikes a golf ball. The club and the the ball remains in contact for for 0.6 ms. ms. the 45g ball leaves the club with a speed of 70 m/s. calculate the average force of the club to the ball. A 5.25 KN C 7.25 KN B 6.25 KN D 8.25 KN
8. A 1000 kg car traveling west at a speed of 15 m/s has a head-on collision with a 4000 kg truck traveling east at 10 m/s. if the vehicles are locked together after the collision, what is their final velocity? A 5 m/s toward the east C 7.5 m/s toward the east B 5 m/s toward the west D 7.5 m/s toward the west
9. A 40 kg skater traveling at 4 m/s overtakes at 60 kg skater traveling at 2 m/s in the same direction and collides with him. If the two remains in contact after the collision, how much kinetic energy is lost? A 48 J C 392 J B 124 J D 432 J
10. A 1 kg ball moving at 5 m/s collides with a 2 kg ball moving in the opposite direction at 4 m/s. if the coefficient of restitution is 0.7, find the velocity of the 1 kg ball after the impact? A 1.1 m/s C 3.5 m/s B 2.8 m/s D 5.2 m/s
11. A 400 kg roller coaster car starts 48 meter above the ground and is 3 meter above the ground at the end of the ride. Calculate the change in potential energy of the car. A -127,000 J C -176,400 J B -150,700 J D -210,800 J
12. A ball dropped on a floor from a height 1.5 meter bounces back to a height of 0.85 m. what is the coefficient of restitution? A 0.5 C 0.75 B 0.6 D 0.8
13. A shaft of a motor rotates 1800 rpm. Through how many radians does it turns in 18 seconds? A 3393 C 3793 B 3593 D 3993
14. A ball is whirled in a horizontal circle 1.5 m in radius at a rate of 1 revolution every 2 seconds. Find the centripetal acceleration of the ball in m/s2. A 8.8 C 12.8 B 10.8 D 14.8
15. A string 0.5 m long is used to whirl a 1 kg stone in a vertical circle at a uniform velocity of 5 m/s. What is the tension in the string when the stone as at the top of the circle? A 9.8N C 50 N B 40.2 N D 59.8 N
16. A man weighs 180 lb on the earth’s surface. What would he weight at a distance from the center of the earth of 3 times the radius of the earth? A 20 lb C 90 lb B 60 lb D 180 lb
17. Find the kinetic energy of a 1 kg phonograph turntable 34 cm in diameter when it rotates at 45 rpm? A 0.102 J C 0.142 J B 0.122 J D 0.162 J
18. A solid cylinder rolls from west down an inclined plane 1.2 m high without slipping. What is its linear velocity at the foot of the plane? A 3.96 m/s C 5.96 m/s B 4.96 m/s D 6.96 m/s
19. A 50 g mass hangs at the end of the spring. When 20 g more are added at the end of the spring, it stretches 7 cm more. Find the spring constant in N/m. A 2.5 C 3.5 B 2.8 D 4.3
20. 100 g of water is mixed to 150 g of alcohol whose density is 790 kg/m3. Calculate the specific gravity of the total mixture? A 1.862 C 0.286 B 0.963 D 0.862
21. How much oil at 200 °c must be added to 50 g of the same oil at 20 °c to heat it to 70 °c? A 12.39 g C 23.91 g B 19.23 g D 29.12 g
22. How much heat is required to convert 100 g of ice at -10 °c to steam at 130 °c under standard atmospheric pressure? A 69 kcal C 79 kcal B 74 kcal D 84 kcal
23. at 20 ° c, an aluminum rod and a copper rod have the same lengths of 1.85 m. to what temperature must they be heated to differ in length by 0.02 cm? The coefficient of linear expansion of aluminum and copper are is 16.8 x 10 -6 /°c and 24 x 10-6 /°c, respectively. A 18 °c C 32 °c B 28 °c D 35 °c
24. The tension in a string supporting a crown is found to be 25 N when the crown is suspended in air and 22.6 N when the crown is suspended in water. Calculate the density of the crown in Kg/m3. A 7410 C 9414 B 8432 D 10417
25. A block of wood floats in water with 5 cm projecting above the water surface. When placed in glycerin in 1.35 specific gravity, the block projects 7.5 m above the liquid. Determine the specific gravity of the block of wood. A 0.514 C 0.836 B 0.707 D 0.658
26. A rope of length 0.60 m, and a mass of 160 g is under a tension of 200 N. Assume the both ends are nodes, find the fundamental frequency. A 22.8 Hz C 68.4 Hz B 45.6 Hz D 91.2 Hz
27. An open pipe is of length of 1.85 m. Find the fundamental frequency. A 45.9 Hz C 136.8 Hz B 91.7 Hz D 183.2 Hz
28. Assume that the auditory canal of the outer ear is a 3.0 cm long pipe closed by one end by the eardrum. Calculate the fundamental frequency of this pipe when in air at 7°C? A 2,800 Hz C 3,200 Hz B 3,000 Hz D 3,400 Hz
29. A man standing 3,360 ft from a high cliff hits a tree stump with an axe, and hears the faint echo 6.4 s later. What is the velocit6y of sound in the air that day? A 1050 fps C 1150 fps B 1100fps D 1200 fps
30. A man standing somewhere between two walls of a wide canyon shout “hello”. If the first echo arrived after an interval of 1.2 s, while the second arrived 0.6 s later. How wide is the canyon? A 127.5 m C 510 m B 255 m D 1020 m
31. The intensity of sound at a construction site is 0.1 W/m 2. Assuming that the area of the eardrum is 0.21 cm2, how much sound energy is absorbed by one ear in an 8-h work day? A 0.04 J C 0.08 J B 0.06 J D 0.1 J
32. A symphonic passage produces a sound level at a person’s ear in the auditorium of 60 dB while a person speaking in the next row produces a sound level of 40 dB at the sane ear. What is the ratio of the intensities of the two sounds? A 1.5 C 25 B 10 D 100
33. A train traveling at 40 m/s has a horn that vibrates at a frequency 0f 200 Hz. Calculate the horn’s sounds heard by a bicycle rider traveling at 10 m/s in the same direction as the train when the bike is ahead of the train. A 184 Hz C 220 Hz B 200 Hz D 240 Hz
34. What is the velocity of the jet plane traveling at Mach Number 2? A 600 m/s C 760 m/s B 680 m/s D 840 m/s
35. Two point charges are placed on the x-axis as follows: Charge Q 1=+4.0 uC is located at x= 0.2 m, and charge Q2=+5.0 uC is located at x=-0.3 m. What are the magnitude and direction of the total force exerted by these two charges on a negative point charge Q3=-6.0 uC that is located at the origin? A 2.4 N to the right C 8.4 N to the right B 2.4 N to the left D 8.4 N to the left
36. Four identical charges Q=5 uC are placed at the corners of a square of side 0.2 m. Find the magnitude of the total force exerted on one charge by the other three charges. A 2.81 N C 7.95 N B 5.62 N D 10.76 N
37. What is the power required to transfer 93,600 coulombs of charge through a potential rise of 50 volts in one hour? A 0.5 kW C 1.3 kW B 0.9 kW D 2.8 kW
38. A current 0f 2.2 A flows when battery of 24 V emf is connected to a 10 ohm load. What is the internal resistance of the battery? A 0.6 ohm C 1.2 ohm B 0.9 ohm D 1.5 ohm
39. What is the resistance of a 100 m long copper wire of radius 0.12 mm if the resistivity of copper is 1.72 x 10-8 ohm-m? A 32 ohm C 44 ohm B 38 ohm D 50 ohm
40. Two resistors have resistance of 25 ohm when connected in series and 6 ohm when connected to parallel. What is the resistance of the small resistor? A 5 ohm C 8 ohm B 7 ohm D 10 ohm
41. Three capacitors whose capacitances are 1,2 and 3 uF are connected in series. What is the equivalent capacitance? A 0.545 uF C 2.53 uF B 1 uF D 6 uF
42. A platinum resistance thermometer has a resistance of 100 ohm when placed in an ice bath. A geologist lowers the thermometer into a hot springs and the resistance increases to 123.5 ohm. What is the temperature of the hot spring if the temperature coefficient of resistance of platinum is 0.00392/°C? A 50°C C 70°C B 60°C D 80°C
43. How fast does light travel in glass of refractive index 1.5? A 2x108 m/s C 3.75x10 8 m/s B 3x108 m/s D 4.5x108 m/s
44. A beam of light enters a lake at an angle of incidence of 40°. Find the angle of refraction if the index of refraction of water is 1.33 A 27°C C 31°C B 29°C D 33°C
45. A flat bottom swimming pool is 8 ft deep. How deep does it appear to be when filled with water whose index of refraction is 4/3? A 4 ft C 6 ft B 5 ft D 8ft
46. Light is incident from water (n=1.33) at an angle of incident of 30° onto the glass (n=1.52). After traveling thru the glass to the opposite parallel side, the light emerge into the air (n=1.00). What is the angle refraction, with which light is transmitted into the air at the second surface? A 26° C 42° B 34° D 48°C
47. A small object lies 4 cm to the left of the vertex of a concave mirror of radius of curvature 12 cm. Find the magnification of the image. A 6 C 3 B -6 D -3
48. An object is 4 cm from a diverging lens whose focal length 1s 12 cm. Where will the image be? A 3 cm C -3 cm B 6 cm D -6 cm
49. Find the focal length of a magnifying glass that produces an erect image magnified 3 times of an object 1.5 cm away. A 2.25 cm C -2.25 cm B 4.5 cm D -4.5 cm
50. A meniscus lens has one concave and one convex surface. The concave surface of a particular meniscus lens has a radius of curvature of 30 cm, and its convex surface has a radius of curvature of 50 cm. The index of refraction of the glass used is 1.5. Find the focal length of the lens. A 150 cm C -150 cm B 100 cm D -100 cm
