MESL RCE (Refresher, Coaching Enhancement) 4.

4 HRS 100 ITEMS 70% 👍

1. If the density of a gas is 0.003 slugs per cubic foot, what is the specific weight of the gas?
❑ 9.04 N/m3
❑ 76.03 N/m3
❑ 15.2 N/m3
❑ 98.02 N/m3

2. What is the magnitude of the resultant force of the two forces 200 N at 20 deg and 400 N
at 144 deg?
❑ 332.5 N
❑ 323.5 N
❑ 313.5 N
❑ 233.5 N

3. A boat can travel 8 miles per hour in still water. What is its velocity with respect to shore
if it heads 35° east of north?
❑ 4.2 mph
❑ 4.4 mph
❑ 4.8 mph
❑ 4.6 mph

4. A 100 kN block slides down a plane inclined at an angle of 30° with the horizontal.
Neglecting friction, find the force that causes the block to slide.
❑ 48 N
❑ 54 N
❑ 50 N
❑ 58 N

5. An object weighing 400 N is held by a rope that passes over a horizontal drum. The
coefficient of friction between the rope and the drum is 0.25. If the angle of contact is 150°,
determine the force that will raise the object.
❑ 350 N
❑ 770 N
❑ 540 N
❑ 780 N
6. A wheel 760 mm in diameter rolls on a concrete road. It carries a load of 500 N. The
coefficient of rolling resistance is 0.305 mm. What is the force P necessary to roll the wheel
along road?
❑ 0.40 N
❑ 0.20 N
❑ 0.30 N
❑ 0.70 N

7. A beam rests on a fulcrum, 1.2 m from one end. A weight of 350 kg is suspended from this
end causing the beam to balance. If the weight of 350 kg is suspended on the opposite end
of the beam, it is necessary to suspend a 1000 kg weight on the first end in order to affect
an even balance. Find the length of the beam.
❑ 3.65 m
❑ 3.57 m
❑ 3.74 m
❑ 3.43 m

8. A certain cable is suspended between two supports at the same elevation and 500 feet apart,
the load is 500 bs per horizontal foot including the weight of the cable. The sag of the cable
is 30 feet. Calculate the total length of the cable.
❑ 503.76 ft
❑ 501.67 ft
❑ 502.67 ft
❑ 504.76 ft

9. A cable carries a horizontal load of 20kg/m. Neglecting its own weight, find the maximum
tension on the cable if the distance between the supports is 100 m and the sag is 5 m.
❑ 5087 kg
❑ 5087 kg
❑ 5099 kg
❑ 5102 kg

10. A rectangle has a base of 3 cm and a height of 6 cm. What is its second moment of area in
cm4 about an axis through the center of gravity and parallel to the base?
❑ 54
❑ 24
❑ 44
❑ 34

11. What is the period of an oscillating body whose mass, m, is 0.025 kg if the spring constant,
k, is 0.44 N/m?
❑ 0.75 s
❑ 1.2 s
❑ 1.5 s
❑ 2.1 s

12. What is the natural frequency, ω, of an oscillating body whose period of oscillation is 1.8s?
❑ 1.8 rad/s
❑ 2.7 rad/s
❑ 3.5 rad/s
❑ 4.5 rad/s

13. A car travels 100 km to city A in 2 hours, then travels 200 km to city B in 3 hours. What
is the average speed of the car for the trip?
❑ 45 km/hr
❑ 58 km/hr
❑ 60 km/hr
❑ 66 km/hr

14. A ball is dropped from a height of 60 meters above ground. How long does it take to hit
the ground?
❑ 1.3 s
❑ 2.1 s
❑ 3.5 s
❑ 5.5 s

15. A projectile whose mass is 10 g is fired directly upward from ground level with an initial
velocity of 1000 m/s. Neglecting the effects of air resistance, what will be the speed of the
projectile when it impacts the ground?
❑ 707 m/s
❑ 981 m/s
❑ 1000 m/s
❑ 1414 m/s
16. A stone is dropped into a well and 4 seconds later the sound of the splash is heard. If sound
travels at a speed of 340 m/sec, how deep is the well?
❑ 70.48 m
❑ 64.24 m
❑ 68.32 m
❑ 72.27 m

17. A shot is fired at an angle of 45° with the horizontal and a velocity of 300 fps. Calculate,
to the nearest, the range of the projectile.
❑ 3500 ft
❑ 4000 ft
❑ 1200 ft
❑ 932 yards

18. A marksman aimed his rifle at the bullseye of a target 50 m away. If the bullet’s speed is
350 m/s, how far below the bullseye does the bullet strikes the target?
❑ 5 cm
❑ 10 cm
❑ 8 cm
❑ 12 cm

19. A plane dropped a bomb at an elevation 1000 meter from the ground intended to hit a target
which elevation is 200 m from the ground. If the plane was flying at a velocity of 300 kph
at what distance from the target must the bomb be dropped to hit the target? Wind velocity
and atmospheric pressure to be disregarded.
❑ 1064.17 m
❑ 1068.20 m
❑ 1170.25 m
❑ 1066.18 m

20. A projectile is launched upward from level ground at an angle of 60° with the horizontal.
It has an initial velocity of 45 m/s. How long will it take before the projectile hits the
ground?
❑ 4.1 s
❑ 5.8 s
❑ 7.95 s
❑ 9.53 s
21. What is the period of an oscillating body whose mass, m, is 0.025 kg if the spring constant,
k, is 0.44 N/m?
❑ 0.75 s
❑ 1.2 s
❑ 1.5 s
❑ 2.1 s

22. What is the natural frequency, ω, of an oscillating body whose period of oscillation is 1.8s?
❑ 1.8 rad/s
❑ 2.7 rad/s
❑ 3.5 rad/s
❑ 4.5 rad/s

23. A car travels 100 km to city A in 2 hours, then travels 200 km to city B in 3 hours. What
is the average speed of the car for the trip?
❑ 45 km/hr
❑ 58 km/hr
❑ 60 km/hr
❑ 66 km/hr

24. A ball is dropped from a height of 60 meters above ground. How long does it take to hit
the ground?
❑ 1.3 s
❑ 2.1 s
❑ 3.5 s
❑ 5.5 s

25. A projectile whose mass is 10 g is fired directly upward from ground level with an initial
velocity of 1000 m/s. Neglecting the effects of air resistance, what will be the speed of the
projectile when it impacts the ground?
❑ 707 m/s
❑ 981 m/s
❑ 1000 m/s
❑ 1414 m/s

26. A stone is dropped into a well and 4 seconds later the sound of the splash is heard. If sound
travels at a speed of 340 m/sec, how deep is the well?
❑ 70.48 m
❑ 64.24 m
❑ 68.32 m
❑ 72.27 m

27. A shot is fired at an angle of 45° with the horizontal and a velocity of 300 fps. Calculate,
to the nearest, the range of the projectile.
❑ 3500 ft
❑ 4000 ft
❑ 1200 ft
❑ 932 yards

28. A marksman aimed his rifle at the bullseye of a target 50 m away. If the bullet’s speed is
350 m/s, how far below the bullseye does the bullet strikes the target?
❑ 5 cm
❑ 10 cm
❑ 8 cm
❑ 12 cm

29. A plane dropped a bomb at an elevation 1000 meter from the ground intended to hit a target
which elevation is 200 m from the ground. If the plane was flying at a velocity of 300 kph
at what distance from the target must the bomb be dropped to hit the target? Wind velocity
and atmospheric pressure to be disregarded.
❑ 1064.17 m
❑ 1068.20 m
❑ 1170.25 m
❑ 1066.18 m

30. A projectile is launched upward from level ground at an angle of 60° with the horizontal.
It has an initial velocity of 45 m/s. How long will it take before the projectile hits the
ground?
❑ 4.1 s
❑ 5.8 s
❑ 7.95 s
❑ 9.53 s

31. A 580 N man is standing on the top of a building 40 m above the ground. What is his
potential energy relative to the ground?
❑ 10 kJ
❑ 12 kJ
❑ 20 kJ
❑ 23 kJ

32. A car moving 70 kph has a mass of 1700 kg. What force is necessary to decelerate it at a
rate of 40 cm/s2?
❑ 420 N
❑ 680 N
❑ 540 N
❑ 425 N

33. The rotor of a steam turbine is rotating at 7200 rpm when the steam supply is suddenly cut
off. The rotor deceleration at a constant rate and come to rest after 5 min. What was the
angular deceleration of the rotor?
❑ 0.40 rad/s2
❑ 2.5 rad/s2
❑ 8.5 rad/s2
❑ 16 rad/s2

34. A cyclist on a circular track of radius r = 240 m is travelling at 8 m/s. His speed in the
tangential direction increases at the rate of 1 m/s2. What is the cyclist’s total acceleration?
❑ -0.9 m/s2
❑ 0.7 m/s2
❑ 0.9 m/s2
❑ 1.0 m/s2

35. A man weighs himself twice in an elevator. When the elevator is at rest, he weighs 824 N;
when the elevator starts moving upwards, he weighs 932 N. How fast is the elevator
acceleration, assuming constant accelerations?
❑ 0.64 m/s2
❑ 1.1 m/s2
❑ 1.3 m/s2
❑ 9.8 m/s2

36. A boy tied an 80-gram stone to a string which he rotated to form a circular motion with a
diameter of 1000 mm. Compute the pull exerted on the string by the stone if it got loose
leaving at a velocity of 25 m/sec.
❑ 10.19 kg
❑ 17.11 kg
❑ 20.11 kg
❑ 11.12 kg

37. On a normal day, the speed limit of a hi-way curve whose radius of curvature is 600 ft is
45 mph. At what speed will skidding impend if the coefficient of friction between the tires
and roadway is 0.3?
❑ 62.21 mph
❑ 70.62 mph
❑ 71.15 mph
❑ 68.27 mph

38. A lead hammer weighs 45 N. In one swing of the hammer, the nail is driven 1.5 cm inches
into a wood block. The velocity of the hammer’s head at impact is 4.5 m/s. What is the
average resistance of the wood block?
❑ 3090 N
❑ 3100 N
❑ 3920 N
❑ 4090 N

39. A flywheel is brought from rest up to a speed of 1,500 rpm in 1 minute. What is the average
angular acceleration, a?
❑ 2.618 rad/s2
❑ 333 rad/s2
❑ 157 rad/s2
❑ 5.23 rad/s2

40. What momentum does a 40 lbm projectile has if it is moving at 420 mph?
❑ 765 lbf –s
❑ 16,860 lbf –s
❑ 523.6 lbf –s
❑ 24,640 lbf –s

41. A 580 N man is standing on the top of a building 40 m above the ground. What is his
potential energy relative to the ground?
❑ 10 kJ
❑ 12 kJ
❑ 20 kJ
❑ 23 kJ

42. A car moving 70 kph has a mass of 1700 kg. What force is necessary to decelerate it at a
rate of 40 cm/s2?
❑ 420 N
❑ 680 N
❑ 540 N
❑ 425 N

43. The rotor of a steam turbine is rotating at 7200 rpm when the steam supply is suddenly cut
off. The rotor deceleration at a constant rate and come to rest after 5 min. What was the
angular deceleration of the rotor?
❑ 0.40 rad/s2
❑ 2.5 rad/s2
❑ 8.5 rad/s2
❑ 16 rad/s2

44. A cyclist on a circular track of radius r = 240 m is travelling at 8 m/s. His speed in the
tangential direction increases at the rate of 1 m/s2. What is the cyclist’s total acceleration?
❑ -0.9 m/s2
❑ 0.7 m/s2
❑ 0.9 m/s2
❑ 1.0 m/s2

45. A man weighs himself twice in an elevator. When the elevator is at rest, he weighs 824 N;
when the elevator starts moving upwards, he weighs 932 N. How fast is the elevator
acceleration, assuming constant accelerations?
❑ 0.64 m/s2
❑ 1.1 m/s2
❑ 1.3 m/s2
❑ 9.8 m/s2

46. A boy tied an 80-gram stone to a string which he rotated to form a circular motion with a
diameter of 1000 mm. Compute the pull exerted on the string by the stone if it got loose
leaving at a velocity of 25 m/sec.
❑ 10.19 kg
❑ 17.11 kg
❑ 20.11 kg
❑ 11.12 kg

47. On a normal day, the speed limit of a hi-way curve whose radius of curvature is 600 ft is
45 mph. At what speed will skidding impend if the coefficient of friction between the tires
and roadway is 0.3?
❑ 62.21 mph
❑ 70.62 mph
❑ 71.15 mph
❑ 68.27 mph

48. A lead hammer weighs 45 N. In one swing of the hammer, the nail is driven 1.5 cm inches
into a wood block. The velocity of the hammer’s head at impact is 4.5 m/s. What is the
average resistance of the wood block?
❑ 3090 N
❑ 3100 N
❑ 3920 N
❑ 4090 N

49. A flywheel is brought from rest up to a speed of 1,500 rpm in 1 minute. What is the average
angular acceleration, a?
❑ 2.618 rad/s2
❑ 333 rad/s2
❑ 157 rad/s2
❑ 5.23 rad/s2

50. What momentum does a 40 lbm projectile has if it is moving at 420 mph?
❑ 765 lbf –s
❑ 16,860 lbf –s
❑ 523.6 lbf –s
❑ 24,640 lbf –s

51. In a lifting machine, a load of 50 kN is moved by a distance of 10 cm using an effort of 10

kN which moves through a distance of 1 m, the efficiency of the machine is:
❑ 20%
❑ 30%
❑ 10%
❑ 50%
52. A 400 g block with an initial velocity of 80 cm/s slides along a horizontal table top against
a friction force of 0.70 N. How far will it slide before stopping?
❑ 0.183 m
❑ 0.786 m
❑ 0.213 m
❑ 0.324 m

53. A 3 kg block is moving at a speed of 5 m/s. What is the force required to bring the block
to a stop in 8 x 10-4 seconds?
❑ 9.2 kN
❑ 13.2 kN
❑ 15.4 kN
❑ 18.8 kN

54. A block with a mass of 115 slugs slides down a frictionless wedge with a slope of 40°. The
wedge is moving horizontally in the opposite direction at a constant velocity of 16 ft/sec.
What is the absolute speed of the block 2 seconds after it is released from rest?
❑ 11.4 ft/sec
❑ 30.9 ft/sec
❑ 31.9 ft/sec
❑ 41.4 ft/sec

55. A cannonball of mass 10 kg is fired from a cannon of mass of 250 kg. The initial velocity
of the cannonball is 1000 km/h. All of the cannon’s recoil is absorbed by the spring with a
spring constant of 520 N/cm. What is the maximum recoil distance of the cannon?
❑ 0.35 m
❑ 0.59 m
❑ 0.77 m
❑ 0.92 m

56. A 50 kg cylinder has a height of 3 m and a radius of 0.5 m. The cylinder sits on the x-axis
and is oriented with its major axis parallel to the y-axis. What is the mass moment of inertia
about the x-axis?
❑ 4.1 kg-m2
❑ 16 kg-m2
❑ 41 kg-m2
❑ 150 kg-m2
57. A torsional pendulum consists of a 5 kg uniform disk with a diameter of 50 cm attached at
its center to a rod 1.5 m in length. The torsional spring constant is 0.625 Nm/rad.
Disregarding the mass of the rod, what is the natural frequency of the torsional pendulum?
❑ 1.0 rad/s
❑ 1.2 rad/s
❑ 1.4 rad/s
❑ 2.0 rad/s

58. A 2 kg ball of clay moving at 40 m/s collides with 5 kg ball of clay moving at 10 m/s
directly toward the first ball. What is the final velocity if both balls stick together after the
collision?
❑ 4.28 m/s
❑ 23.0 m/s
❑ 30.0 m/s
❑ 42.9 m/s

59. A 1 kg disk with a diameter of 10 cm and a width of 4 cm is placed in the edge at the top
of an inclined ramp 1 m high. The ramp is inclined at 10°. At the bottom of the ramp is a
spring whose spring constant is 2000 N/m. The disk rolls down the ramp and compresses
the spring while coming to a complete stop. What is the maximum compression of the
spring?
❑ 9.9 cm
❑ 11.4 cm
❑ 11.7 cm
❑ 14.1 cm

60. A solid cylinder is placed at the top of a 30° incline. When released, it freely rolls down.
What will be its linear speed at the foot of the incline which is 1.5 m below the initial
position of the cylinder?
❑ 4.4 m/s
❑ 5.32 m/s
❑ 2.76 m/s
❑ 2.52 m/s

61. In a lifting machine, a load of 50 kN is moved by a distance of 10 cm using an effort of 10

kN which moves through a distance of 1 m, the efficiency of the machine is:
❑ 20%
❑ 30%
❑ 10%
❑ 50%

62. A 400 g block with an initial velocity of 80 cm/s slides along a horizontal table top against
a friction force of 0.70 N. How far will it slide before stopping?
❑ 0.183 m
❑ 0.786 m
❑ 0.213 m
❑ 0.324 m

63. A 3 kg block is moving at a speed of 5 m/s. What is the force required to bring the block
to a stop in 8 x 10-4 seconds?
❑ 9.2 kN
❑ 13.2 kN
❑ 15.4 kN
❑ 18.8 kN

64. A block with a mass of 115 slugs slides down a frictionless wedge with a slope of 40°. The
wedge is moving horizontally in the opposite direction at a constant velocity of 16 ft/sec.
What is the absolute speed of the block 2 seconds after it is released from rest?
❑ 11.4 ft/sec
❑ 30.9 ft/sec
❑ 31.9 ft/sec
❑ 41.4 ft/sec

65. A cannonball of mass 10 kg is fired from a cannon of mass of 250 kg. The initial velocity
of the cannonball is 1000 km/h. All of the cannon’s recoil is absorbed by the spring with a
spring constant of 520 N/cm. What is the maximum recoil distance of the cannon?
❑ 0.35 m
❑ 0.59 m
❑ 0.77 m
❑ 0.92 m

66. A 50 kg cylinder has a height of 3 m and a radius of 0.5 m. The cylinder sits on the x-axis
and is oriented with its major axis parallel to the y-axis. What is the mass moment of inertia
about the x-axis?
❑ 4.1 kg-m2
❑ 16 kg-m2
❑ 41 kg-m2
❑ 150 kg-m2

67. A torsional pendulum consists of a 5 kg uniform disk with a diameter of 50 cm attached at

its center to a rod 1.5 m in length. The torsional spring constant is 0.625 Nm/rad.
Disregarding the mass of the rod, what is the natural frequency of the torsional pendulum?
❑ 1.0 rad/s
❑ 1.2 rad/s
❑ 1.4 rad/s
❑ 2.0 rad/s

68. A 2 kg ball of clay moving at 40 m/s collides with 5 kg ball of clay moving at 10 m/s
directly toward the first ball. What is the final velocity if both balls stick together after the
collision?
❑ 4.28 m/s
❑ 23.0 m/s
❑ 30.0 m/s
❑ 42.9 m/s

69. A 1 kg disk with a diameter of 10 cm and a width of 4 cm is placed in the edge at the top
of an inclined ramp 1 m high. The ramp is inclined at 10°. At the bottom of the ramp is a
spring whose spring constant is 2000 N/m. The disk rolls down the ramp and compresses
the spring while coming to a complete stop. What is the maximum compression of the
spring?
❑ 9.9 cm
❑ 11.4 cm
❑ 11.7 cm
❑ 14.1 cm

70. A solid cylinder is placed at the top of a 30° incline. When released, it freely rolls down.
What will be its linear speed at the foot of the incline which is 1.5 m below the initial
position of the cylinder?
❑ 4.4 m/s
❑ 5.32 m/s
❑ 2.76 m/s
❑ 2.52 m/s
71. A rocket is moving through a vacuum. It changes its velocity from 9020 ft/sec to 5100
ft/sec in 48 sec. How much power is required to accomplish this if the rocket’s mass is
13,000 slugs?
❑ 13.6 x 106 hp
❑ 16.3 x 106 hp
❑ 36.1 x 106 hp
❑ 31.6 x 106 hp

72. A force of 200 lbf acts on a block at an angle of 28° with respect to the horizontal. The
block is pushed 2 feet horizontally. What is the work done by this force?
❑ 320 J
❑ 480 J
❑ 540 J
❑ 215 J

73. A solid disk flywheel (I = 200 kg-m) is rotating with a speed of 900 rpm. What is the
rotational kinetic energy?
❑ 730 x 103 J
❑ 680 x 103 J
❑ 888 x 103 J
❑ 1100 x 103 J

74. The flywheel of a puncher is to be brought to a complete stop in 8 seconds from a speed of
60 revolutions per minute. Compute for the number of turns the flywheel will still make if
its deceleration is uniform.
❑ 7 turns
❑ 4 turns
❑ 6 turns
❑ 5 turns

75. A block of ice is released at the top of a 30° inclined 10 m above the ground. If the slight
melting of the ice renders the surface frictionless, determine its velocity block at the foot
of the incline.
❑ 13 m/s
❑ 14 m/s
❑ 12 m/s
❑ 10 m/s
76. A car weighing 40 tons is switched to a 2% upgrade with a velocity of 30 mph. If the car
is then allowed to run back, what velocity will it have at the foot of the grade? Note:
Train’s Resistance is 10 lbf/ton.
❑ 37 fps
❑ 31 fps
❑ 43 fps
❑ 34 fps

77. A heavy brass plum-bob suspended from a 38-inch cord was observed to have a natural
period of oscillation of about two seconds if pulled 24 inches to one side and then allowed
to swing freely. If an astronaut was to repeat this experiment on the moon where the
gravitational attraction is approximately 1/6th that of the earth, the observed period would
be:
❑ 0.33 s
❑ 0.82 s
❑ 4.90 s
❑ 12.0 s

78. Which of the following is false?

❑ Kinematics is the study of the effect of motion, while kinematics is the study of the causes
of motion
❑ The radius of gyration for a mass of uniform thickness is identical to that for a planar area
of the same shape
❑ The acceleration of a body rotating with a constant angular velocity is zero
❑ The number of generalized coordinates cannot exceed the number of degrees of freedom

79. The net force that acts on a particle will be equal to zero when the particle:
❑ Is travelling at constant velocity around a circle
❑ Has constant linear momentum
❑ Has constant kinetic energy
❑ Has constant angular momentum

80. One newton is the force required to:

❑ Give a 1 g mass an acceleration of 1 m/s2
❑ Acceleration at 10 kg mass at a rate of 0.10 m/s2
❑ Acceleration at 1 kg mass at a rate of 1.00 cm/s2
❑ Acceleration at 1 kg mass at a rate of 9.81 m/s2
❑
81. A rocket is moving through a vacuum. It changes its velocity from 9020 ft/sec to 5100
ft/sec in 48 sec. How much power is required to accomplish this if the rocket’s mass is
13,000 slugs?
❑ 13.6 x 106 hp
❑ 16.3 x 106 hp
❑ 36.1 x 106 hp
❑ 31.6 x 106 hp

82. A force of 200 lbf acts on a block at an angle of 28° with respect to the horizontal. The
block is pushed 2 feet horizontally. What is the work done by this force?
❑ 320 J
❑ 480 J
❑ 540 J
❑ 215 J

83. A solid disk flywheel (I = 200 kg-m) is rotating with a speed of 900 rpm. What is the
rotational kinetic energy?
❑ 730 x 103 J
❑ 680 x 103 J
❑ 888 x 103 J
❑ 1100 x 103 J

84. The flywheel of a puncher is to be brought to a complete stop in 8 seconds from a speed of
60 revolutions per minute. Compute for the number of turns the flywheel will still make if
its deceleration is uniform.
❑ 7 turns
❑ 4 turns
❑ 6 turns
❑ 5 turns

85. A block of ice is released at the top of a 30° inclined 10 m above the ground. If the slight
melting of the ice renders the surface frictionless, determine its velocity block at the foot
of the incline.
❑ 13 m/s
❑ 14 m/s
❑ 12 m/s
❑ 10 m/s
86. A car weighing 40 tons is switched to a 2% upgrade with a velocity of 30 mph. If the car
is then allowed to run back, what velocity will it have at the foot of the grade? Note:
Train’s Resistance is 10 lbf/ton.
❑ 37 fps
❑ 31 fps
❑ 43 fps
❑ 34 fps

87. A heavy brass plum-bob suspended from a 38-inch cord was observed to have a natural
period of oscillation of about two seconds if pulled 24 inches to one side and then allowed
to swing freely. If an astronaut was to repeat this experiment on the moon where the
gravitational attraction is approximately 1/6th that of the earth, the observed period would
be:
❑ 0.33 s
❑ 0.82 s
❑ 4.90 s
❑ 12.0 s

88. Which of the following is false?

❑ Kinematics is the study of the effect of motion, while kinematics is the study of the causes
of motion
❑ The radius of gyration for a mass of uniform thickness is identical to that for a planar area
of the same shape
❑ The acceleration of a body rotating with a constant angular velocity is zero
❑ The number of generalized coordinates cannot exceed the number of degrees of freedom

89. The net force that acts on a particle will be equal to zero when the particle:
❑ Is travelling at constant velocity around a circle
❑ Has constant linear momentum
❑ Has constant kinetic energy
❑ Has constant angular momentum

90. One newton is the force required to:

❑ Give a 1 g mass an acceleration of 1 m/s2
❑ Acceleration at 10 kg mass at a rate of 0.10 m/s2
❑ Acceleration at 1 kg mass at a rate of 1.00 cm/s2
❑ Acceleration at 1 kg mass at a rate of 9.81 m/s2
91. If there are as many equations as unknowns, the matrix of the coefficient is a:
❑ Row matrix
❑ Column matrix
❑ Square matrix
❑ Rectangular matrix

92. When two rows are interchanged in position, the value of the determinant will:
❑ Remain unchanged
❑ Be multiplied by –1
❑ Become zero
❑ Become infinite value

93. If the discriminant of a quadratic equation is less than zero, the equation has:
❑ No real root
❑ One root only
❑ Two real roots
❑ None of the above

94. The number between two geometric terms.

❑ Means
❑ Arithmetic means
❑ Geometric means
❑ Median

95. The number between two geometric terms.

❑ Means
❑ Arithmetic means
❑ Geometric means
❑ Median

96. The additive inverse of a complex number a + bi is:

❑ a – bi
❑ a + bi
❑ -a – bi
❑ -a + bi

97. The difference between the highest score and the lowest score in the distribution.
❑ Deviation
❑ Range
❑ Median
❑ Mode

98. The second power of the standard deviation is called:

❑ Mode
❑ Central tendency
❑ Variance
❑ Dispersion

99. A point in the distribution of scores at which 50 percent of the scores fall below and 50
percent of the scores fall above.
❑ Mode
❑ Mean
❑ Median
❑ Range

100. The altitudes of the sides of the triangle intersects at the point known as:
❑ Orthocenter
❑ Circumcenter
❑ Incenter
❑ Centroid