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MATHEMATICS PHYSICS CE LICENSURE EXAMINATION PROBLEMS PHYSICS

EQUILIBRIUM 5.

TEMPERATURE 1.

The temperature which the Fahrenheit and Centigrade readings will have the same value: (M94 M 3) a. -20 c. 32 b. 30 d. -40

A 45 cm x 45 cm square plate ABCD of uniform thickness is supported by three vertical strings. The first string is located at B, the second is located 15 cm from A along side AD, and the third is at the point midway of side CD. What percent of the load is carried by the first and second supports? (M01 M 27) a. 40 % c. 50 % b. 60 % d. 30 %

BUOYANCY CENTROID OF PLANE AREA 2.

A small square 5 m by 5 m is cut out of one corner of a rectangular cardboard 20 cm wide by 30 cm long. How far, in cm, from the uncut longer side is the centroid of the remaining area? (M97 M 18) a. 9.56 c. 9.35 b. 9.67 d. 9.48

6.

A solid steel ball of radius 3 cm is immersed in a cylindrical tank containing water to a depth of 10 cm. If the water in the tank rises 2.25 cm, what is the diameter of the tank? (N01 M 24) a. 8 cm c. 9 cm b. 4 cm d. 12 cm

7.

A solid spherical steel ball 20 cm in diameter is placed into a tall vertical cylinder containing water, causing the water level to rise by 10 cm. What is the radius of the cylinder? (N02 M 8) a. 12.14 cm c. 10.28 cm b. 9.08 cm d. 11.55 cm

VECTOR 3.

4.

What is the magnitude of the space vector 5i + 4j + 9k? (N00 M 30) a. 18.078 c. 12.544 b. 15.125 d. 11.045

RECTILINEAR TRANSLATION 8.

The magnitude of the vector F = 2i + 6j – 8k is: (N03 M 1) a. 9.1 c. 12.5 b. 13.6 d. 10.2

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Cars A and B are traveling in the same direction at the same speed of 70 kph along a level road with car A 150 m ahead of car B. Car A decelerates at the rate of 2 m/s2. From this instant up to the time B overtakes A, how far has B traveled? (N94 M 20) a. 248.08 m c. 238.08 m b. 268.08 m d. 258.08 m

MATHEMATICS PHYSICS 9.

Cars A and B are traveling in the same direction at the same speed of 70 kph along a level road with car A 150 m ahead of car B. Car A decelerates at the rate of 2 m/s2. From this instant up to the time B overtakes A, how far has A traveled? (M95 M 17) a. 88.08 m c. 98.08 m b. 108.08 m d. 78.08 m

10.

From a speed of 20 mph, a train accelerated at a rate of 0.395 m/s2. How many seconds will it take the train to travel 1 km during the acceleration? (N95 M 1) a. 55.8 s c. 52.1 s b. 57.6 s d. 59.3 s

11.

From a speed of 75 kph, a car decelerates at the rate of 500 m/min2 along a straight path. How far in meters will it travel in 45 sec? (M96 M 14) a. 795 c. 797 b. 791 d. 793

15.

A truck travels from point M northward for 30 min then eastward for one hour, then shifted N30W. If the constant speed is 40 kph, how far directly from M, in km, will it be after 2 hours? (N98 M 3) a. 43.5 c. 47.8 b. 45.2 d. 41.6

16.

A car was traveling at a speed of 50 mph. The driver saw a roadblock 80 m ahead and stepped on the brake causing the car to decelerate uniformly at 10 m/s2. Find the distance from the roadblock to the point where the car stopped. Assume perceptionreaction time is 2 seconds. (N98 M 16) a. 12.48 m c. 10.28 m b. 6.25 m d. 8.63 m

17.

A car moving at 36 m/s decelerate uniformly at 450 m/min/sec. How far has the car move when its velocity is 30 m/s? (N99 M 28) a. 32.5 m c. 68.7 m b. 14.7 m d. 26.4 m

12.

A train upon passing point A at a speed of 72 kph accelerates at 0.75 m/s2 for one minute along a straight path then decelerates at 1.0 m/s2. How far in km from point A will it be 2 minutes after passing point A? (N96 M 20) a. 4.95 c. 4.75 b. 4.85 d. 4.65

18.

The driver of a car traveling at a certain speed suddenly sees an obstruction ahead and traveled a distance of 72 m during the perception-reaction time of 2.5 seconds. Determine the car’s speed of approach in kph. (M00 M 27) a. 85.6 c. 103.7 b. 96.3 d. 124.3

13.

From a speed of 30 kph at point A, a car accelerated uniformly. After 18 minutes it reached point B, 21 km from A. Find the acceleration in m/s2. (N97 M 20) a. 0.0804 c. 0.0633 b. 0.0206 d. 0.0467

19.

14.

A train running at 60 kph decelerated at 2 m/min2 for 14 minutes. Find the distance traveled, in km, within this period. (M98 M 29) a. 12.2 c. 13.8 b. 13.2 d. 12.8

A car is traveling at a uniform speed of 80 kph. The driver saw a roadblock x meters ahead and stepped on the brake causing the car to decelerate uniformly at 10 m/s2. The distance from the roadblock to the point where the car stopped is 12 m. Find x if the perceptionreaction time is 3 seconds. (N01 M 7) a. 123.32 m c. 103.36 m b. 95.43 m d. 87.65 m

20.

A car driver traveling at a speed of 65 mph approached a hazard and traveled 72.2 m during the perception-reaction time. What was the driver’s PIEV (perception, identification, emotion, and volition) time in seconds? (M03 M 25) a. 2.3 c. 2.5 b. 2.1 d. 2.7

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MATHEMATICS PHYSICS PROJECTILE MOTION

RECTILINEAR MOTION WITH VARIABLE ACCELERATION

21.

A projectile is fired with a muzzle velocity of 300 m/s from a gun aimed upward at an angle of 20 with the horizontal, from the top of a building 30 m high above the level ground. With what velocity will it hit the ground, in m/s? (M95 M 18) a. 300.96 c. 320.96 b. 310.96 d. 330.96

26.

22.

A projectile is fired 20 m above the level plane and reaches a horizontal distance of 60 m on that level plane. What is the initial velocity of the projectile if it is fired 30 with the horizontal? (N95 M 25) a. 20.76 m/s c. 18.78 m/s b. 19.446 m/s d. 22.47 m/s

23.

24.

25.

A ball is thrown from a tower 30 m high above the ground with a velocity of 300 m/s directed at 20 from the horizontal. How long will the ball hit the ground? (N96 M 22) a. 24.2 s c. 23.2 s b. 21.2 s d. 22.2 s A stone is projected from the ground with a velocity of 15 m/s at an angle of 30 with the horizontal ground. How high in meters will it rise? Use g = 9.81 m/s2. (M97 M 21) a. 4.86 c. 5.86 b. 3.86 d. 2.86 A projectile is fired at an angle of 20 with the horizontal at the top of a 30 m high building. The muzzle velocity is 300 m/s. What is the total time of flight? (M00 M 9) a. 32.6 s c. 21.2 s b. 25.7 s d. 18.5 s

A body starting from point A is given an acceleration which uniformly increases from zero at A to 1.8 m/s2 at B in 4 seconds. The initial velocity at A is 3 m/s. Find the distance traveled at the end of 4 seconds. (N02 M 19) a. 16.8 m c. 16.2 m b. 16.5 m d. 17.1 m

CURVILINEAR TRANSLATION 27.

A pulley that is rotating at 36 rev/s is decelerated at 12 rad/s2 until it stops. How many complete revolutions does it make within this period? (M95 M 16) a. 339 c. 337 b. 335 d. 333

28.

Using a constant angular acceleration, a water turbine is brought to its normal operating speed of 180 rev/min in 6 minutes. How many complete revolutions did the turbine make in coming to normal speed? (N97 M 16) a. 560 c. 540 b. 530 d. 550

29.

A horizontal platform with a diameter of 6 m revolves about its center at 20 rpm. Find the tangential speed, in m/s, of a point at the edge of the platform. (M98 M 1) a. 6.34 c. 6.46 b. 6.28 d. 6.12

30.

A flywheel rotating at 40 rad/sec is accelerated uniformly at 10 rad/s2. Find its angular velocity after 70 revolutions. (M99 M 25) a. 102 rad/s c. 142 rad/s b. 76 rad/s d. 52 rad/s

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MATHEMATICS PHYSICS KINETICS OF CURVILINEAR TRANSLATION 31.

A vertical bar of length L with a mass of 40 kg is rotated vertically about its one end at 40 rpm. Find the length of the bar if it makes an angle of 45 with the vertical. (M99 M 27) a. 1.58 m c. 3.26 m b. 2.38 m d. 1.86 m

32.

A circular platform of radius 2 m is revolved about its center at the rate of 8 rpm. What is the normal acceleration at the edge of the platform, in m/s2? (N01 M 25) a. 1.532 c. 1.404 b. 1.231 d. 1.167

33.

A horizontal platform with radius of 2.5 m rotates about its center at a constant angular speed of 10 rad/min. The normal acceleration at the edge of the platform is: (N03 M 26) a. 0.069 m/s2 c. 0.085 m/s2 2 b. 0.032 m/s d. 0.049 m/s2

ESCAPE VELOCITY 34.

The radius of the moon is 1,080 miles. The gravitational acceleration at the moon’s surface is 0.165 times the gravitational acceleration at the earth’s surface. What is the velocity of escape from the moon in mi/s2? (M96 M 11) a. 2.38 c. 3.52 b. 1.47 d. 4.26

35.

The radius of the earth is 3,960 mi. The gravitational acceleration at the earth’s surface is 32.16 ft/s2. What is the velocity of escape from the earth in mi/s? (M98 M 22) a. 6.94 c. 7.83 b. 8.62 d. 9.36

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EQUILIBRIUM 5.

TEMPERATURE 1.

The temperature which the Fahrenheit and Centigrade readings will have the same value: (M94 M 3) a. -20 c. 32 b. 30 d. -40

A 45 cm x 45 cm square plate ABCD of uniform thickness is supported by three vertical strings. The first string is located at B, the second is located 15 cm from A along side AD, and the third is at the point midway of side CD. What percent of the load is carried by the first and second supports? (M01 M 27) a. 40 % c. 50 % b. 60 % d. 30 %

BUOYANCY CENTROID OF PLANE AREA 2.

A small square 5 m by 5 m is cut out of one corner of a rectangular cardboard 20 cm wide by 30 cm long. How far, in cm, from the uncut longer side is the centroid of the remaining area? (M97 M 18) a. 9.56 c. 9.35 b. 9.67 d. 9.48

6.

A solid steel ball of radius 3 cm is immersed in a cylindrical tank containing water to a depth of 10 cm. If the water in the tank rises 2.25 cm, what is the diameter of the tank? (N01 M 24) a. 8 cm c. 9 cm b. 4 cm d. 12 cm

7.

A solid spherical steel ball 20 cm in diameter is placed into a tall vertical cylinder containing water, causing the water level to rise by 10 cm. What is the radius of the cylinder? (N02 M 8) a. 12.14 cm c. 10.28 cm b. 9.08 cm d. 11.55 cm

VECTOR 3.

4.

What is the magnitude of the space vector 5i + 4j + 9k? (N00 M 30) a. 18.078 c. 12.544 b. 15.125 d. 11.045

RECTILINEAR TRANSLATION 8.

The magnitude of the vector F = 2i + 6j – 8k is: (N03 M 1) a. 9.1 c. 12.5 b. 13.6 d. 10.2

------- 1 -------

Cars A and B are traveling in the same direction at the same speed of 70 kph along a level road with car A 150 m ahead of car B. Car A decelerates at the rate of 2 m/s2. From this instant up to the time B overtakes A, how far has B traveled? (N94 M 20) a. 248.08 m c. 238.08 m b. 268.08 m d. 258.08 m

MATHEMATICS PHYSICS 9.

Cars A and B are traveling in the same direction at the same speed of 70 kph along a level road with car A 150 m ahead of car B. Car A decelerates at the rate of 2 m/s2. From this instant up to the time B overtakes A, how far has A traveled? (M95 M 17) a. 88.08 m c. 98.08 m b. 108.08 m d. 78.08 m

10.

From a speed of 20 mph, a train accelerated at a rate of 0.395 m/s2. How many seconds will it take the train to travel 1 km during the acceleration? (N95 M 1) a. 55.8 s c. 52.1 s b. 57.6 s d. 59.3 s

11.

From a speed of 75 kph, a car decelerates at the rate of 500 m/min2 along a straight path. How far in meters will it travel in 45 sec? (M96 M 14) a. 795 c. 797 b. 791 d. 793

15.

A truck travels from point M northward for 30 min then eastward for one hour, then shifted N30W. If the constant speed is 40 kph, how far directly from M, in km, will it be after 2 hours? (N98 M 3) a. 43.5 c. 47.8 b. 45.2 d. 41.6

16.

A car was traveling at a speed of 50 mph. The driver saw a roadblock 80 m ahead and stepped on the brake causing the car to decelerate uniformly at 10 m/s2. Find the distance from the roadblock to the point where the car stopped. Assume perceptionreaction time is 2 seconds. (N98 M 16) a. 12.48 m c. 10.28 m b. 6.25 m d. 8.63 m

17.

A car moving at 36 m/s decelerate uniformly at 450 m/min/sec. How far has the car move when its velocity is 30 m/s? (N99 M 28) a. 32.5 m c. 68.7 m b. 14.7 m d. 26.4 m

12.

A train upon passing point A at a speed of 72 kph accelerates at 0.75 m/s2 for one minute along a straight path then decelerates at 1.0 m/s2. How far in km from point A will it be 2 minutes after passing point A? (N96 M 20) a. 4.95 c. 4.75 b. 4.85 d. 4.65

18.

The driver of a car traveling at a certain speed suddenly sees an obstruction ahead and traveled a distance of 72 m during the perception-reaction time of 2.5 seconds. Determine the car’s speed of approach in kph. (M00 M 27) a. 85.6 c. 103.7 b. 96.3 d. 124.3

13.

From a speed of 30 kph at point A, a car accelerated uniformly. After 18 minutes it reached point B, 21 km from A. Find the acceleration in m/s2. (N97 M 20) a. 0.0804 c. 0.0633 b. 0.0206 d. 0.0467

19.

14.

A train running at 60 kph decelerated at 2 m/min2 for 14 minutes. Find the distance traveled, in km, within this period. (M98 M 29) a. 12.2 c. 13.8 b. 13.2 d. 12.8

A car is traveling at a uniform speed of 80 kph. The driver saw a roadblock x meters ahead and stepped on the brake causing the car to decelerate uniformly at 10 m/s2. The distance from the roadblock to the point where the car stopped is 12 m. Find x if the perceptionreaction time is 3 seconds. (N01 M 7) a. 123.32 m c. 103.36 m b. 95.43 m d. 87.65 m

20.

A car driver traveling at a speed of 65 mph approached a hazard and traveled 72.2 m during the perception-reaction time. What was the driver’s PIEV (perception, identification, emotion, and volition) time in seconds? (M03 M 25) a. 2.3 c. 2.5 b. 2.1 d. 2.7

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MATHEMATICS PHYSICS PROJECTILE MOTION

RECTILINEAR MOTION WITH VARIABLE ACCELERATION

21.

A projectile is fired with a muzzle velocity of 300 m/s from a gun aimed upward at an angle of 20 with the horizontal, from the top of a building 30 m high above the level ground. With what velocity will it hit the ground, in m/s? (M95 M 18) a. 300.96 c. 320.96 b. 310.96 d. 330.96

26.

22.

A projectile is fired 20 m above the level plane and reaches a horizontal distance of 60 m on that level plane. What is the initial velocity of the projectile if it is fired 30 with the horizontal? (N95 M 25) a. 20.76 m/s c. 18.78 m/s b. 19.446 m/s d. 22.47 m/s

23.

24.

25.

A ball is thrown from a tower 30 m high above the ground with a velocity of 300 m/s directed at 20 from the horizontal. How long will the ball hit the ground? (N96 M 22) a. 24.2 s c. 23.2 s b. 21.2 s d. 22.2 s A stone is projected from the ground with a velocity of 15 m/s at an angle of 30 with the horizontal ground. How high in meters will it rise? Use g = 9.81 m/s2. (M97 M 21) a. 4.86 c. 5.86 b. 3.86 d. 2.86 A projectile is fired at an angle of 20 with the horizontal at the top of a 30 m high building. The muzzle velocity is 300 m/s. What is the total time of flight? (M00 M 9) a. 32.6 s c. 21.2 s b. 25.7 s d. 18.5 s

A body starting from point A is given an acceleration which uniformly increases from zero at A to 1.8 m/s2 at B in 4 seconds. The initial velocity at A is 3 m/s. Find the distance traveled at the end of 4 seconds. (N02 M 19) a. 16.8 m c. 16.2 m b. 16.5 m d. 17.1 m

CURVILINEAR TRANSLATION 27.

A pulley that is rotating at 36 rev/s is decelerated at 12 rad/s2 until it stops. How many complete revolutions does it make within this period? (M95 M 16) a. 339 c. 337 b. 335 d. 333

28.

Using a constant angular acceleration, a water turbine is brought to its normal operating speed of 180 rev/min in 6 minutes. How many complete revolutions did the turbine make in coming to normal speed? (N97 M 16) a. 560 c. 540 b. 530 d. 550

29.

A horizontal platform with a diameter of 6 m revolves about its center at 20 rpm. Find the tangential speed, in m/s, of a point at the edge of the platform. (M98 M 1) a. 6.34 c. 6.46 b. 6.28 d. 6.12

30.

A flywheel rotating at 40 rad/sec is accelerated uniformly at 10 rad/s2. Find its angular velocity after 70 revolutions. (M99 M 25) a. 102 rad/s c. 142 rad/s b. 76 rad/s d. 52 rad/s

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MATHEMATICS PHYSICS KINETICS OF CURVILINEAR TRANSLATION 31.

A vertical bar of length L with a mass of 40 kg is rotated vertically about its one end at 40 rpm. Find the length of the bar if it makes an angle of 45 with the vertical. (M99 M 27) a. 1.58 m c. 3.26 m b. 2.38 m d. 1.86 m

32.

A circular platform of radius 2 m is revolved about its center at the rate of 8 rpm. What is the normal acceleration at the edge of the platform, in m/s2? (N01 M 25) a. 1.532 c. 1.404 b. 1.231 d. 1.167

33.

A horizontal platform with radius of 2.5 m rotates about its center at a constant angular speed of 10 rad/min. The normal acceleration at the edge of the platform is: (N03 M 26) a. 0.069 m/s2 c. 0.085 m/s2 2 b. 0.032 m/s d. 0.049 m/s2

ESCAPE VELOCITY 34.

The radius of the moon is 1,080 miles. The gravitational acceleration at the moon’s surface is 0.165 times the gravitational acceleration at the earth’s surface. What is the velocity of escape from the moon in mi/s2? (M96 M 11) a. 2.38 c. 3.52 b. 1.47 d. 4.26

35.

The radius of the earth is 3,960 mi. The gravitational acceleration at the earth’s surface is 32.16 ft/s2. What is the velocity of escape from the earth in mi/s? (M98 M 22) a. 6.94 c. 7.83 b. 8.62 d. 9.36

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