Problem 1
The weight of a mass of 10 kilograms at a location where g = 9.77 m/s2 is:
A. 79.7 N C. 97.7 N
B. 77.9 N D. 977 N
Problem 2 (ME April 1997)
What is the resultant velocity of a point of x-component x , and y-component
y at time
A. 63.1327 C. 64.1327
B. 62.1327 D. 74.1327
Problem 3
A boat has a speed of 8 mph in still water attempts to go directly across a river with a current of 3 mph. What is the effective speed of the boat?
A. 8.35 mph C. 7.42 mph
B. 8.54 mph D. 6.33 mph
Problem 4
A ship moving North at 10 mph. A passenger walks Southeast across the deck at 5 mph. In what direction and how fast is the man moving, relative to the earth’s surface.
A. N 28o40’W; 7.37 mph C. N 61o20’W; 7.37 mph B. N 61o20’E; 7.37 mph D. N 28o40’E; 7.37 mph Problem 5
A man wishes to cross due west on a river which is flowing due north at the rate of 3 mph. If he can row 12 mph in still water, what direction should he take to cross the river?
A. S 14.47o W C. S 81.36 o W B. S 75.52 o W D. S 84.36 o W Problem 6
A plane is moving due east with air speed of 240 kph. If a wind of 40 kph is blowing from the south, find the ground speed of the plane.
A. 243 kph C. 200 kph
B. 423 kph D. 240 kph
Problem 7
Three forces 20N, 30N, and 40N are in equilibrium. Find the angle between the 30-40N.
A. 26.96o C. 40o
B. 28.96o D. 25.96o
Problem 8
A 10-kg weight is suspended by a rope from a ceiling. If a horizontal force of 5.80 kg is applied to the weight, the rope will make an angle with the vertical equal to:
A. 60o C. 45o
B. 30o D. 75o
Problem 9
A 100 kN block slides down a place inclined at an angle of 30o with the horizontal. Neglecting friction, find the force that causes the block to slide.
A. 86.6 kN C. 20 kN
B. 80 kN D. 50 kN
Problem 10
What tension must be applied at the ends of a flexible wire cable supporting a load of 0.5 kg per horizontal meter in a span of 100 m if the sag is to be limited to 1.25 m?
A. 423.42 kg C. 500.62 kg
B. 584.23 kg D. 623.24 kg
Problem 11
The allowable spacing of towers to carry an aluminum cable weighing 0.03 kg per horizontal meter if the maximum tension at the lowest point is not to exceed 1150 at sag of 0.50 m is:
A. 248 m C. 408 m
B. 392 m D. 422 m
Problem 12
A wooden plank “x” meters long has one end leaning on top of a vertical wall 1.5 m high and the other end resting on a horizontal ground. Neglecting friction, find x if a force (parallel to the plank) of 100 N is needed to pull a 400 N block up the plank.
A. 6 m C. 4 m
B. 5 m D. 3 m
Problem 13
A block of wood is resting on a level surface. If the coefficient of friction between the block and the surface is 0.30, how much can the plane be inclined without causing the block to slide down?
A. 16.7o C. 21.2o
B. 30.2o D. 33.3o
Problem 14
A 500 kg block is resting on a 30o inclined plane with a Find the required force P acting horizontally that will prevent the block from sliding.
A. 1020 N C. 4236 N
B. 1160 N D. 5205 N
Problem 15
A 500 kg block is resting on a 30o inclined plane with a Find the required force P acting horizontally that will start the block up the plane.
A. 4236 N C. 5205 N
B. 1160 N D. 2570 N
Problem 16 (ME April 1996)
What is the acceleration of the body that increases in velocity from 20 m/s to 40 m/s in 3 seconds? Answer in S.I. units.
A. 8 m/s2 C. 5 m/s2
B. 6.67 m/s2 D. 7 m/s2 Problem 17 (CE May 1996)
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?
A. 795 C. 797
B. 791 D. 793
Problem 18 (CE November 1997)
With a starting speed of 30 kph at point A, a car accelerates uniformly. After 18 minutes, it reaches point B, 21 km from A. Find the acceleration of the car in m/s2.
A. 0.126 m/s2 C. 0.0206 m/s2
B. 0.0562 m/s2 D. 3.42 m/s2 Problem 19 (CE November 1996)
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 the decelerates at 1.0 m/s2. How far in kilometers from point A will it be 2 minutes after passing point A?
A. 4.95 C. 4.85
B. 4.75 D. 4.65
Problem 20
A car starting from rest moves with a constant acceleration of 10 km/hr2 for 1 hour, then decelerates at a constant -5 km/hr2 until it comes to a stop. How far has it traveled?
A. 10 km C. 12 km
B. 20 km D. 15 km
Problem 21 (ECE November 1997)
The velocity of an automobile starting from rest is given by = ft/sec.
Determine its acceleration after an interval of 10 seconds (in ft/sec2).
A. 2.10 C. 2.25
B. 1.71 D. 2.75
Problem 22 (CE may 1998)
A train running at 60 kph decelerated at 2 m/min2 for 14 minutes. Find the distance traveled, in kilometers within this period.
A. 12.2 C. 13.8
B. 13.2 D. 12.8
Problem 23 (ECE November 1997)
An automobile accelerates at a constant rate of 15 mi/hr to 45 mi/hr in 15 seconds, while travelling in a straight line. What is the average acceleration?
A. 2 ft/s2 C. 2.12 ft/s2 B. 2.39 ft/s2 D. 2.93 ft/s2 Problem 24 (CE November 1998)
A car was travelling at a speed of 50 mph. The driver saw a road block 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 perception reaction time is 2 seconds.
A. 12.48 m C. 10.28 m
B. 6.25 m D. 8.63 m
Problem 25
A man driving his car at 45 mph suddenly sees an object in the road 60 feet ahead. What constant deceleration is required to stop the car in this distance?
A. -36.3 ft/s2 C. -33.4 ft/s2 B. -45.2 ft/s2 D. -42.3 ft/s2 Problem 26 (ECE March 1996)
A mango falls from a branch 5 meters above the ground. With what speed in meters per second will it strike the ground? Assume g = 10 m/s2.
A. 8 C. 10
B. 12 D. 14
Problem 27
A man standing at a window 5 meters tall watches a falling stone pass by the window in 0.3 seconds. From how high above the top of the window was the stone released?
A. 12.86 m C. 9.54 m
B. 11.77 m D. 15.21 m
Problem 28
A bullet is fired at an initial velocity of 350 m/s and an angle of 50o with the horizontal.
Neglecting air resistance, what maximum height could the bullet rises?
A. 3,646 m C. 3,466 m
B. 4,366 m D. 3,664 m
Problem 29
A bullet is fired at an initial velocity of 350 m/s and an angle of 50o with the horizontal.
Neglecting air resistance, find its range on the horizontal plane through the point it was fired.
A. 12,298 m C. 12.298 m
B. 12.298 km D. 12,298 cm
Problem 30
A bullet is fired at an initial velocity of 350 m/s and an angle of 50o with the horizontal.
Neglecting air resistance, how long will the bullet travel before hitting the ground?
A. 54.66 min. C. 54.66 sec
B. 56.42 sec D. 56.42 min.
Problem 31 (ME Board October 1997)
The muzzle velocity of a projectile is 1,500 fps and the distance of the target is 10 miles. What must be the angle of elevation of the gun?
A. 25o 32’ C. 24o 32’
B. 23o 34’ D. 26o 34’
Problem 32 (ME October 1997)
A shot is fired at an angle of 45o with the horizontal and a velocity of 300 ft per second. Find the height and the range of projectile.
A. 600 ft and 2500 ft C. 1000 ft and 4800 ft B. 700 ft and 2800 ft D. 750 ft and 3000 ft Problem 33 (ECE April 1998)
A baseball is thrown from a horizontal plane following a parabolic path with an initial velocity of 100 m/s at an angle of 30 degrees above the horizontal. How far from the throwing point will the ball attain its original level?
A. 890 m C. 883 m
B. 875 m D. 880 m
Problem 34
What is the range of a projectile if the initial velocity is 30 m/s at an angle of 30o with the horizontal?
A. 100 m C. 79.45 m
B. 92 m D. 110 m
Problem 35
A bullet is fired at an angle of 75o with the horizontal with an initial velocity of 420 m/s. How high can it travel after 2 seconds?
A. 840 m C. 750 m
B. 792 m D. 732 m
Problem 36
A coin is tossed vertically upward from the ground at a velocity of 12 m/s. How long will the coin touch the ground?
A. 4.35 sec. C. 2.45 sec.
B. 3.45 sec. D. 1.45 sec.
Problem 37 (CE May 1997)
A stone is projected from the ground with a velocity of 15 m/s at an angle of 30o with the horizontal ground. How high in m will it rise? Use g = 9.817 m/s.
A. 2.865 m C. 2.586 m
B. 2.685 m D. 8.652 m
Problem 38 (CE November 1996)
A ball is thrown from a tower 30m. high above the ground with a velocity of 300 m/s directed at 20o from the horizontal. How fast will the ball hit the ground?
A. 24.2 C. 21.2
B. 23.2 D. 22.2
Problem 39
A man in a hot air balloon dropped an apple at a height of 150 m. If the balloon is rising at 15 m/s, find the highest point reached by the apple.
A. 151.5 m C. 171.5 m
B. 161.5 m D. 141.5 m
Problem 40
A balloon is ascending at the rate of 10 kph and is being carried horizontally by a wind at 20 kph. If a bomb is dropped from the balloon such that it takes 8 sec. to reach the ground, the balloon’s altitude when the bomb was released is:
A. 336.14 m C. 252 m
B. 322.13 m D. 292 m
Problem 41
A plane is flying horizontally 350 kph at an altitude of 420 m. At this instant, a bomb is released.
How far horizontally from this point will the bomb hit the ground?
A. 625 m C. 785 m
B. 577 m D. 900 m
Problem 42
A car whose wheels are 30 cm in radius is traveling with a velocity of 110 kph. If it is
decelerated at a constant rate of 2 m/s2, how many complete revolutions does it make before it comes to rest?
A. 121 C. 123
B. 122 D. 124
Problem 43
The wheel of an automobile revolves at the rate of 700 rpm. How fast does it move, in km per hr., if the radius of its wheel is 250 mm?
A. 73.3 C. 5.09
B. 18.33 D. 34.67
Problem 44
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?
A. 550 C. 560
B. 530 D. 540
Problem 45
A horizontal platform 6 m in diameter revolves so that a point on its rim moves 6.28 m/s. Find its angular speed in rpm.
A. 15 C. 25
B. 20 D. 12
Problem 46 (CE May 1998)
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.
A. 6.34 C. 6.46
B. 6.28 D. 6.12
Problem 47
A flywheel rotating at 500 rpm decelerates uniformly at 2 rad/sec2. How many seconds will it take for the flywheel to stop?
A. 24.5 s C. 25.1 s
B. 28.4 s D. 26.2 s
Problem 48
A cyclist on a circular track of radius r = 800 feet is traveling at 27 ft/sec. His speed in the tangential direction increases at the rate of 3 ft/s2. What is the cyclist’s total acceleration?
A. 2.8 ft/s2 C. -5.1 ft/s2
B. -3.12 ft/s2 D. 3.13 ft/s2 Problem 49
The radius of the earth is 3,960 miles. The gravitational acceleration at the earth’s surface is 32.16 ft/s2. What is the velocity of escape from the earth in miles/s?
A. 6.94 C. 9.36
B. 8.62 D. 7.83
Problem 50
The radius of the moon is 1080 mi. 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 miles/second?
A. 2.38 C. 3.52
B. 1.47 D. 4.26