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SPH 4U – Practice Exam Multiple Choice Page 1 of 6
1. The pilot of an aircraft wishes to fly due west in a 50.0 km/h wind blowing toward the south. If the speed of the aircraft relative to the air is 200 km/h, what direction should the aircraft head? a) 14.5o North of West d) 45.0 o South of West b) 14.5 o South of West e) Westward c) 45.0 o North of West
2. A boat always points directly at the opposite shore while crossing a river. The time it will take to cross will be a) less if the current is stronger d) dependent on the strength of the current b) greater if the current is stronger e) impossible to predict without more information c) the same regardless of the current
3. To cross a river with a current in the least amount of time, a boat should point a) directly at the opposite shore d) in a direction that will take the boat directly across b) somewhat upstream e) in a direction that will take the boat slightly upstream c) somewhat downstream
4. A 3.0 kg object is released on a frictionless plane inclined at 60 to the horizontal. The unbalanced force acting on the object is in N a) 0 b) 10 c) 15 d) 30 e) 25
5. A paratrooper predicts that objects have less weight at high altitudes. He tests this hypothesis by using a spring scale calibrated in Newtons to weigh a kilogram block of butter while jumping from an airplane at an altitude of 5000 m. What will the spring scale read during the first few moments of falling and before the parachute opens? (Assume g = 10 N/kg) a) 0 N b) 0.10 N c) <10 N d) 10 N e) >10 N
6. According to Newton's second law, the acceleration of an object is directly proportional to the net force applied to it. A student does an experiment to investigate this law. He applies a constant force F to a wooden block which is free to slide on a table, and measures the resulting acceleration a. He then applies twice the force and finds that the acceleration has tripled. Which one of the following statements is the correct conclusion to draw from this result? 1 a) Newton's second law is not valid under these conditions. d) There is a frictional force of 2 F on the block. 1 2 b) There is a frictional force of 4 F on the block. e) There is a frictional force of 3 F on the block. 1 c) There is a frictional force of 3 F on the block.
7. The total force, applied at an angle θ, needed to drag a box at constant speed across a horizontal surface with coefficient of kinetic
friction μk is mg a) mg k mg cos b) mg k mg sin c) cos k sin
k mg d) e) None of the above cos k sin
8. A projectile is fired from ground level such that it has an initial vertical speed of 20 m/s and an initial horizontal speed of 30 m/s. how far from the point of firing does the projectile land? Assume the terrain is flat, neglect air resistance, and take g = 10 N/kg. a) 40 m b) 60 m c) 80 m d) 120 m e) 180 m
9. A dart is thrown horizontally toward X with a speed of 20 m/s. It hits a point Y, 0.1 s later. The distance XY will be approximately a) 2 m b) 1 m c) 0.5 m d) 0.1 m e) 0.05 m
10. A fireman, 50.0 m away from a burning building, directs a stream of water from a ground level fire hose at an angle of 30.0° above the horizontal. If the speed of the stream as it leaves the hose is 40.0 m/s, at what height will the stream of water strike the building? a) 2.5 m b) 4.9 m c) 9.8 m d) 18.6 m e) 37.2 m
11. A projectile of mass M and another of mass 5M were launched at the same time at 15o and 75o with respect to the ground, at the same speed. Which of the following statements is true? a) Projectile with mass M strikes the ground 5 times sooner than the one with mass 5M. b) Projectile with mass M strikes the ground 5 times farther than the one with mass 5M. c) Both projectiles strike the ground at the same time. d) Both projectiles strike the ground at the same distance. e) The answer depends on the mass and speed
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12. A rock, tied to the end of a string, is whirled at a constant speed around in a horizontal circle by a student who is holding the other end of the string. Which one of the following statements is false? a) The tension in the string will increase with the speed of rotation. b) The rock will fly off along a tangent to the circle if the string breaks. c) The circle described by the rock could be above the student’s outstretched hand if the speed of rotation is great enough. d) The acceleration of the rock will be directed toward the centre of the circle. e) The tension of the string is providing the centripetal force needed to keep the rock in it circular path.
13. A 2 kg mass at the end of a 1.0 m string is whirled in a vertical plane with an average speed of 4.0 m/s. The tension in the string when the stone is at the top of the circle is a) 0 N b) 12 N c) 20 N d) 32 N e) 52 N
14. A heavy weight is supported by two cables that exert tensions of magnitude T1 and T2. Which statement is correct?
a) T1 = T2 b) T1y = T2y c) T1 > T2 d) T1 < T2 e) We need the mass of the box to determine the correct answer.
15. An airplane, while pulling out of a dive, at some moment, has an instantaneous centripetal acceleration of 3g. The apparent weight of the pilot at the time is a) mg b) 2 mg c) 3 mg d) 4 mg e) 5 mg
16. A rock attached to a string swings in a vertical circle. Which free body diagram could correctly describe the force(s) on the rock when the string is in one possible horizontal position?
17. A roller-coaster car has a mass of 500 kg when fully loaded with passengers. The car passes over a hill of radius 15 m, as shown. At the top of the hill, the car has a speed of 8.0 m/s. What is the force of the track on the car at the top of the hill? a) 7.0 kN up d) 2.8 kN up b) 7.0 kN down e) 5.6 kN down c) 2.8 kN down
18. The driver of a 1000 kg car tries to turn through a circle of radius 100 m on an unbanked curve at a speed of 10 m/s. If the force of friction between the road and car tires is 900 N, the car will a) slide into the inside of the curve d) make the turn if it increases speed b) make the turn and go even faster e) slide off to the outside of the curve c) make the turn, but at its maximum safe speed
19. A race car, having a mass of 1200 kg, successfully rounds a frictionless curve of 300 m radius banked at an angle of 30. Approximately how fast was the car traveling in m/s? a) 173 b) 1732 c) 41.6 d) 52 e) 7.2
20. A curve in a highway is banked at 15° and designed for a speed on 85 km/h. If a delinquent speeder rounds the curve at 110 km/h the horizontal component of the normal force on the car is a) in the same direction as the centrifugal force d) parallel to the road & towards the inside of the curve b) in the same direction as the centripetal force e) in the same direction as the normal force c) parallel to the road and towards the outside of the curve
21. Which of the following statements about satellites in orbit around the Earth is not true? a) the sum of its kinetic energy and gravitational potential energy is greater than zero b) the satellite is gravitationally bound to the Earth c) if the orbit is geosynchronous, then its orbital period must be 24 h d) its kinetic energy in orbit is equal to its binding energy e) the satellite can escape the Earth’s gravity field easier than if it were on the surface
22. An earth satellite is in a stable circular orbit. A booster rocket puts it in another circular orbit of somewhat larger radius. Which one of the following statements is false? a) The period of the satellite is increased. b) The gravitational attraction experienced by the satellite is decreased. c) The kinetic energy of the satellite is increased. d) The gravitational potential energy of the satellite is increased. e) The orbital speed of the satellite is decreased. \sph4U\final\00c83992ae49cce35e096722d57e23c3.doc SPH 4U – Practice Exam Multiple Choice Page 3 of 6
23. One end of a Hooke’s Law Spring is attached to a support and the other end is free. It is found that 50 J of work is needed to pull the free end 0.30 m from it rest position. How much additional work, in Joules, is required to pull the free end an additional 0.60 m? a) 50 b) 100 c) 300 d) 200 e) 400
24. The horizontal surface on which the block slides is frictionless. The speed of the block before it touches the spring is 6.0 m/s. How fast is the block moving at the instant the spring has been compressed 15 cm? k = 2.0 kN/m, m = 2.0 kg a) 3.7 m/s d) 5.4 m/s b) 4.4 m/s e) 14 m/s c) 4.9 m/s
25. Identical masses m are attached to identical springs of spring constant k suspended from the ceiling. With both masses hanging in their equilibrium positions, mass A is pulled down 10 cm and released, while mass B is pushed up 10 cm and released. Which is correct? a) Mass A will travel a smaller distance to its highest point than mass B will travel to its lowest point. b) Mass A will travel a greater distance to its highest point than mass B will travel to its lowest point. c) Masses A and B will travel equal distances between their highest and lowest points. d) More work was done on mass A by the extending force than on mass B by the compressing force. e) The total work done on mass A by the extending force was equal to the total work done on mass B by the compressing force.
26. Bob has two balls. He releases one ball from a platform of height H. Just as that ball strikes the ground, he releases the next ball from the same height. Assuming that the first ball bounces perfectly,( i.e., reversing only the direction of its velocity when it strikes the ground), at what height from the ground do the balls strike each other? a) H/4 d) 3H/4 b) H/3 e) none of the above c) H/2
27. As a result of the compression of a spiral spring, U units of potential energy are added to it. When this spring is allowed to elongate 1 3 of the distance it was compressed, its remaining potential energy in the same units will be 1 4 1 1 2 a) 3 U b) 9 U c) 9 U d) 3 U e) 3 U
28. A block of mass m rests on a horizontal, frictionless surface as shown in the figure. The block is pressed against a light spring having a spring constant k. If the block is released when the spring is compressed a distance x, what is the maximum length d the block reaches along the frictionless incline plane of angle θ? kx 2 k 2x 3 a) d d) d 2mg sin m2g 2 cos kx 3 b) d e) None of the above mgh sin kxh c) d 2mg sin
29. Objects A and B, of mass M and 2M respectively, are each pushed a distance d straight up an inclined plane by a force F parallel to
the plane. The coefficient of kinetic friction between each mass and the plane has the same value μk. At the highest point,
a) EA Fd EB
b) EA F k Mg cos d ; EB F 2k Mg cos d
c) EA F k Mg sin d ; EB F 2k Mg sin d
d) EA F Mg sin k Mg cos d ; EB F Mg sin 2k Mg cos d
e) EA F Mg sin k Mg cos d ; EB F 2Mg sin 2k Mg cos d ;
30. Whenever a body strikes a stationary body of equal mass a) the two bodies cannot stick together d) the collision must be elastic b) the body that was originally moving must stop e) momentum is necessarily conserved c) total energy of all kinds is not conserved
31. Which one of the following would describe a perfectly elastic collision between bodies? a) Momentum is transferred from one body to another, but no kinetic energy is transferred from one body to another. b) Total kinetic energy is the same after the collision as before, and total momentum is the same after the collision as before. c) Total kinetic energy is the same after the collision as before, but total momentum is not the same after the collision as before. d) Total kinetic energy is not the same after the collision as before, and total momentum is the same after the collision as before. \sph4U\final\00c83992ae49cce35e096722d57e23c3.doc SPH 4U – Practice Exam Multiple Choice Page 4 of 6 e) Total momentum is the same after the collision as before, and there is no deformation of either body during the collision. 32. A steel block, moving in a frictionless groove, collides with a stationary block of putty. The two blocks stick together after the collision. Consider the following statements: I. Kinetic energy is conserved. II. Momentum is conserved. III. The temperature of each block increases. Which of the above statements is/are correct? a) I only d) II and III only b) II only e) I, II and III c) I and II only
33. Two objects have the same momentum but do not have the same mass. Consider the following statements about them: I. The one with less mass has more kinetic energy. II. The same work was done to accelerate each from rest. III. Both deliver the same impulse when stopped. Which of the above statements is/are correct? a) I only d) I and III only b) II only e) II and III only c) III only
34. A body of mass 8.0 kg is moving due east with a uniform speed of 5.0 m/s. It suddenly explodes into two parts having masses of 5.0 kg and 3.0 kg. Just after the explosion, the 3.0 kg mass has a velocity of 10 m/s due east relative to the Earth’s surface. The speed of the 5.0 kg mass relative to the Earth’s surface will be, in m/s, most nearly a) 5.0 b) 4.0 c) 3.0 d) 2.0 e) 1.0
35. The ball of mass 2.0 kg moving with a horizontal velocity of 5.0 m/s to the right hits a vertical wall and rebounds with a horizontal velocity of 4.0 m/s to the left, as shown in the diagram. The magnitude of the change in momentum of the ball is, in kgm/s a) 2.0 b) 5.0 c) 9.0 d) 10 e) 18
36. A 75 kg man was riding on a 30 kg cart travelling at a speed of 2.0 m/s relative to the ground. He jumped off in such a way that he landed on the ground with a horizontal speed of 2.0 m/s in the same direction as the cart. What was the resulting change in the speed of the cart? a) 0 b) 3.0 m/s c) 7.0 m/s d) 2.0 m/s e) 5.0m/s
37. A 10-g bullet moving 1000 m/s strikes and passes through a 2.0-kg block initially at rest, as shown. The bullet emerges from the block with a speed of 400 m/s. To what maximum height will the block rise above its initial position? a) 78 cm d) 46 cm b) 66 cm e) 37 cm c) 56 cm
38. If the mass of Earth is 5.98 x 1024 kg and the radius is 6.38 x 106 m, the gravitational potential energy of a 1.2 x 103-kg satellite located in an orbit 230 km above the surface of Earth is a) –1.1 x 104 J b) –7.2 x 1010 J c) –2.1 x 1012 J d) –9.0 x 1012 J e) –2.1 x 1015 J
39. The total energy of a 257-kg satellite in orbit at an altitude of 5.9 x 106 m above Earth’s surface is a) –4.2 x 109 J b) –1.2 x 1010 J c) –1.6 x 1010 J d) –2.7 x 1010 J e) –5.4 x 1010 J
40. A satellite of mass m is in orbit around a planet of mass M at an altitude a above the planet’s surface. The radius of the planet is r. The kinetic energy of the satellite is GMm GMm GMm a) E b) E c) E k 2r a k 2r a k 2r GMm GMm d) Ek e) E 2r a k 2a
41. The binding energy of an electron in orbit about a nucleus of charge, Q, is a) equal to its potential energy d) equal to its kinetic energy b) equal to its total energy e) equal to half its total energy c) equal to zero
42. The binding energy of a 257-kg satellite in orbit at an altitude of 5.9 x 106 m above Earth’s surface is \sph4U\final\00c83992ae49cce35e096722d57e23c3.doc SPH 4U – Practice Exam Multiple Choice Page 5 of 6 a) 4.2 x 109 J b) 1.2 x 1010 J c) 1.6 x 1010 J d) 2.7 x 1010 J e) 5.4 x 1010 J 43. In comparing the force of attraction between an electron and a proton due to the electric force and gravity, it can be concluded that a) the gravitational force is a lot stronger d) they cannot be compared b) the electric force is a lot stronger e) the electric force is slightly stronger c) the two types of forces are the same
44. Which of the descriptions best fit the pattern of field lines shown to the right? a) charges A and B are equal with the same sign b) charges A and B are equal with opposite sign A B c) A is positive with larger charge, B is negative d) A is positive with smaller charge, B is positive e) A is negative with smaller charge, B is negative
45. The diagram below shows two point charges, B and C, and the electric field lines in the region around them. Which one of the following statements is true? a) A negative point charge placed at point A will move toward the left. b) The charges on both B and C are negative. c) The charges on both B and C are positive. d) The electric field is strongest nearest point B. e) A negative point charge placed at point A will move toward the right.
46. The electric field at a point near a charge Q represents a) the energy possessed by a unit positive charge b) the force acting on a unit positive charge c) the energy possessed by a unit negative charge d) the force acting on a unit negative charge e) the amount of work which could be done by a unit positive charge
47. An object with charge +q experiences an electric force FE when put in a particular location in the electric field . The positive charge +q is removed and an object with charge –2q is placed in the same location in the electric field. This charge would feel an electric force of
F 2FE F a) –2F b) E c) d) –4F e) E E 2 q E 4
48. The electric force on two small charged spheres due to the other sphere is Fe. The charge on one sphere is doubled, and the distance between the centres of the spheres is tripled. The force on each small charged sphere is now
Fe 2Fe Fe 2Fe a) 2Fe b) c) d) e) 3 3 9 9
49. A small positive charge is a great distance away from a larger positive charge. As the smaller charge is brought closer, which of the following statements is most correct? a) electric force decreases, electric potential increases and the field decreases b) electric force increases, electric potential decreases and the field decreases c) electric force decreases, electric potential decreases and the field decreases d) electric force increases, electric potential increases and the field increases e) electric force increases, electric potential decreases and the field increases
50. Two spheres, X and Y, are 4 m apart. A charge of 2Q is distributed over sphere X and a charge of Q is distributed over sphere Y. The magnitude of the electrostatic force on X is a) 4 times that on Y d) 2 times that on Y b) the same as that on Y e) 0.5 times that on Y c) 0.25 times that on Y
N 51. The magnitude of the electric field due to a small charged object is 12 C at a distance of 3.0 m from the charge. The field 6.0 m N away from the charge is, in C a) 3.0 b) 4.0 c) 6.0 d) 12 e) 36
52. When two small charged spheres are separated by 2.0 m, the electrical force of attraction between them is 6.0 N. If the charge on each sphere is doubled and the separation is reduced to 1.0 m, the force of attraction will now be, in N a) 6.0 b) 16 c) 24 d) 48 e) 96
\sph4U\final\00c83992ae49cce35e096722d57e23c3.doc SPH 4U – Practice Exam Multiple Choice Page 6 of 6 53. An electric field of 2.0 N/C exists at a point where a charge of +1.6 μC is placed. The force on this charge, in N, is a) 1.25 b) 8.0 c) 8.0 x 10-5 d) 3.2 x 10-6 e) 1.25 x 106
54. Two small spheres, having positive charges of X units and Y units 2 m respectively, are located 10 m apart. A test charge of +1 unit is 8 m located between them as illustrated. The net electrical force on the test charge is zero. The ratio X : Y is X Test Y a) 1 : 1 d) 16 : 1 Charge b) 4 : 1 e) 1 : 16 +1 c) 1 : 4
55. Which of the following statements is false for a charged particle between two parallel plates having a voltage, V, between them? a) The electric force on a positive charge is in the same direction as the electric field. b) The magnitude of the electric force is the same anywhere between the plates. c) The electric force on a negative charge is in the opposite direction to that of the electric field. d) The magnitude of the force on a positive charge is greater than the magnitude of the force on a negative charge. e) The electric force on the object is proportional to the voltage on the plates.
56. How much work must be done to carry a –4.0 C charge from negative plate A to positive plate B if the electric potential difference between the plates is 35 V? a) 8.8 J b) –140 J c) –8.8 J d) 140 J e) –0.11 J
57. An electron having a charge of 1.6 x 10-19 C is injected into an electric potential of 100 V between two plates. The speed of the electron as it reaches the second plate, in m/s, is a) 4.2 x 106 b) 5.9 x 106 c) 5.9 x 10-6 d) 1.4 x 105 e) none of these
58. The potential difference between two parallel plates is 1.7 x 104 V. To move a small charge from one plate to another opposing the electric field requires 0.56 J of work. The magnitude of the charge is a) 3.0 x 104 C b) 9.5 x 103 C c) 1.5 x 10–15 C d) 3.3 x 10–5 C e) 4.8 x 10–15 C
59. The electric field intensity between two parallel plates is 300.0 N/C. The plates are connected to a battery with an electric potential difference of 12.0 V. The separation of the plates is a) 25.0 m b) 3600.0 m c) .3 x 1011 m d) 4.0 x 10–7 m e) 0.040 m
60. The direction of a magnetic field is from right to left as shown in the diagram. A proton travels into and perpendicular to the plane of the page. The direction of the magnetic force acting on the proton is a) down b) up c) right d) left e) directly out of the page and perpendicular to the paper
61. A positively charged particle of mass 3.0 x 10–12 kg and charge +6.4 x 10–5 C is perpendicular to a 1.5-T magnetic field. If the particle has a speed of 4.8 x 103 m/s, the acceleration of this particle is a) 3.4 x 10–4 m/s2 b) 2.6 x 10–20 m/s2 c) 1.5 x 1011 m/s2 d) 1.5 x 10–4 m/s2 e) 1.7 x 1019 m/s2
62. A proton of charge 1.6 x 10–19 C is moving east with a speed of 8.2 x 107 m/s, as it enters a magnetic field of 2.5 T directed downward. The magnitude and direction of the magnetic force acting on the proton is a) 3.3 x 10–11 N [N] b) 1.9 x 1011 N [S] c) 5.3 x 10–12 N [S] d) 3.3 x 10–11 N [S] e) 1.9 x 1011 N [N]
63. A magnetic force causes a positively charged particle q to undergo uniform circular motion in a uniform magnetic field B. The radius of the circular motion is r. The magnitude of the positively charged particle’s velocity can be described by which of the following?
q r qr q m a) b) c) d) e) rm qm m rm qr F M 64. The direction of the positively charged particle’s velocity according to the diagram in the margin must be a) to the left b) to the right c) upward d) out of the page, perpendicular to the page e) into the page, perpendicular to the page
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