1) A box of mass m is pulled with a constant acceleration a along a
horizontal frictionless floor by

a wire that makes an angle of
15° above the horizontal. If T is the tension in this wire,
then

A) T = ma.

B) T > ma.

C) T < ma.

B

Two objects, each of weight W, hang vertically by spring scales as shown in the figure. The pulleys and the strings attached to the objects have negligible weight, and there is no appreciable friction in the pulleys. The reading in each scale is

A) W.

B) more than W, but not quite twice as much.

C) less
than W.

D) 2W.

E) more than 2W.

a

A fish weighing 16 N is weighed using two spring scales, each of
negligible weight, as shown

in the figure. What will be the
readings of the scales?

A) The bottom scale will read 16 N, and the top scale will read
zero.

B) Each scale will read 16 N.

C) The top scale will
read 16 N, and the bottom scale will read zero.

D) The scales
will have different readings, but the sum of the two readings will be
16 N.

E) Each scale will read 8 N.

B

Two objects have masses m and 5m, respectively. They both are placed
side by side on a

frictionless inclined plane and allowed to
slide down from rest.

A) It takes the lighter object 5 times
longer to reach the bottom of the incline than the

heavier
object.

B) It takes the lighter object 10 times longer to reach
the bottom of the incline than the

heavier object.

C) It
takes the heavier object 5 times longer to reach the bottom of the
incline than the

lighter object.

D) It takes the heavier
object 10 times longer to reach the bottom of the incline than
the

lighter object.

E) The two objects reach the bottom of
the incline at the same time.

E

A box slides down a frictionless plane inclined at an angle θ above
the horizontal. The

gravitational force on the box is
directed

A) parallel to the plane in the same direction as the
movement of the box.

B) parallel to the plane in the opposite
direction as the movement of the box.

C) perpendicular to the
plane.

D) vertically.

E) at an angle θ below the inclined plane.

D

A brick is resting on a rough incline as shown in the figure. The
friction force acting on the

brick, along the incline, is

A) zero.

B) equal to the weight of the brick.

C) greater
than the weight of the brick.

D) less than the weight of the brick.

D

7) When a parachutist jumps from an airplane, he eventually reaches a
constant speed, called the

terminal speed. Once he has reached
terminal speed

A) his acceleration is equal to g.

B) the
force of air drag on him is equal to zero.

C) the force of air
drag on him is equal to g.

D) his speed is equal to g.

E)
the force of air drag on him is equal to his weight.

e

1) A block lies on a horizontal frictionless surface. A horizontal
force of 100 N is applied to the

block giving rise to an
acceleration of 3.0 m/s2.

(a) Determine the mass of the
block.

(b) Calculate the distance the block will travel if the
force is applied for 10 s.

(c) Calculate the speed of the block
after the force has been applied for 10 s.

Answer: (a) 33 kg (b) 150 m (c) 30 m/s

2) The following four forces act on a 4.00 kg object:

F1 = 300 N
east

F2 = 700 N north

F3 = 500 N west

F4 = 600 N
south

What is the acceleration of the object?

A) 224 N in a
direction 63.4° north of west

B) 300 N in a direction 63.4° north
of west

C) 300 N in a direction 26.6° north of west

D) 224 N
in a direction 26.6° north of west

E) 2100 N in a direction 26.6°
north of west

D

3) A 50.0-N box is sliding on a rough horizontal floor, and the only
horizontal force acting on it is

friction. You observe that at
one instant the box is sliding to the right at 1.75 m/s and that
it

stops in 2.25 s with uniform acceleration. What magnitude
force does friction exert on this box?

A) 3.97 N

B) 8.93
N

C) 38.9 N

D) 50.0 N

E) 490 N

A

A block is on a frictionless horizontal table, on earth. This block
accelerates at 1.9 m/s2 when a

90 N horizontal force is applied
to it. The block and table are then set up on the moon where

the
acceleration due to gravity is 1.62 m/s2. What is the weight of the
block on the moon?

A) 77 N

B) 67 N

C) 58 N

D) 48
N

E) 39 N

A

5) A block is on a frictionless horizontal table, on earth. This
block accelerates at 3.6 m/s2 when a

90 N horizontal force is
applied to it. The block and table are then set up on the moon
where

the acceleration due to gravity is 1.62 m/s2. A horizontal
force of 45 N is applied to the block

when it is on the moon.
What acceleration does this force impart to the block?

A) 1.8
m/s2

B) 1.6 m/s2

C) 2.0 m/s2

D) 2.2 m/s2

E) 2.3 m/s2

A

A 10,000-kg rocket blasts off from earth with a uniform upward
acceleration of 2.00 m/s2 and

feels no air resistance. The upward
thrust force its engines must provide during this

acceleration is
closest to

A) 20,000 N.

B) 980,000 N.

C) 118,000
N.

D) 78,000 N.

C

15) Bumpers on cars are not of much use in a collision. To see why,
calculate the average force

a bumper would have to exert if it
brought a 1200-kg car (a so-called compact model) to a rest

in 15
cm when the car had an initial speed of 2.0 m/s (about 4.5 mph).
(Bumpers are built with

springs that compress to provide a
stopping force without, hopefully, denting the metal.)

A) 1.8 ×
104 N

B) 1.6 × 104 N

C) 5.4 × 104 N

D) 6.5 × 105
N

E) 3.2 × 104 N

B

8) A box of mass 50 kg is at rest on a horizontal frictionless
surface. A constant horizontal force F

then acts on the box and
accelerates it to the right. It is observed that it takes the box
6.9

seconds to travel 28 meters. What is the magnitude of the force?

59N

A 1000-kg car is driving toward the north along a straight horizontal
road at a speed of 20.0

m/s. The driver applies the brakes and
the car comes to a rest uniformly in a distance of 200 m.

What
are the magnitude and direction of the net force applied to the car to
bring it to rest?

A) 1.00 N north

B) 10.0 × 103 N
south

C) 1.00 × 103 N south

D) 1.00 N south

E) 100 N south

C

A construction worker pulls a box of tools on a smooth horizontal
floor with a force of 100 N

in a direction of 37.0° above the
horizontal. The mass of the box and the tools is 40.0 kg.

(a)
Draw a free-body diagram for the box.

(b) Calculate the
acceleration of the box.

(c) How hard does the floor push up on
the box?

Answer: (a) The box is acted on by the force of gravity which points
downward toward the

center of the earth. The normal force is
directed toward the box perpendicular to the

surface of the
floor. The pulling force is directed away from the box at an angle
37.0

degrees above the horizontal.

(b) 2.00 m/s2

(c)
332 N

A 60.0-kg person rides in an elevator while standing on a scale. The
scale reads 400 N. The

acceleration of the elevator is closest
to

A) 3.13 m/s2 downward.

B) 6.67 m/s2 downward.

C)
zero.

D) 9.80 m/s2 downward.

E) 6.67 m/s2 upward.

A

A 60.0-kg person rides in elevator while standing on a scale. The
elevator is traveling

downward but slowing down at a rate of 2.00
m/s 2. The reading on the scale is closest to

A) 589 N.

B)
708 N.

C) 469 N.

D) 120 N.

E) 349 N.

B

A block is given a very brief push up a 20.0° frictionless incline to
give it an initial speed of

12.0 m/s.

(a) How far along the
surface of the plane does the block slide before coming to
rest?

(b) How much time does it take to return to its starting position?

(a) 21.5 m (b) 7.16 s

A 50.0-kg box rests on a horizontal surface. The coefficient of
static friction between the box

and the surface is 0.300 and the
coefficient of kinetic friction is 0.200. What is the friction
force

on the box if

(a) a horizontal 140-N push is applied
to it?

(b) a horizontal 175-N push is applied to it?

(a) 140 N (b) 98.0 N

15) In a shuffleboard game, the puck slides a total of 12 m before
coming to rest. If the coefficient

of kinetic friction between
the puck and the horizontal board is 0.28, what was the initial
speed

of the puck?

A) 8.1 m/s

B) 29.0 m/s

C) 6.5
m/s

D) 7.3 m/s

A

A driver in a 1000 kg car traveling at 20 m/s slams on the brakes and
skids to a stop. If the

coefficient of friction between the tires
and the horizontal road is 0.80, how long will the skid

marks
be?

A) 26 m

B) 21 m

A

17) Jason takes off from rest across level water on his jet-powered
skis. The combined mass of

Jason and his skis is 75 kg (the mass
of the fuel is negligible). The skis have a thrust of 200 N

and a
coefficient of kinetic friction on water of 0.10. Unfortunately, the
skis run out of fuel after

only 48 s. What is Jasonʹs top
speed?

A) 81 m/s

B) 130 m/s

C) 13 m/s

D) 48 m/s

A

18) Jason takes off from rest across level water on his jet-powered
skis. The combined mass of

Jason and his skis is 75 kg (the mass
of the fuel is negligible). The skis have a thrust of 200 N

and a
coefficient of kinetic friction on water of 0.10. Unfortunately, the
skis run out of fuel after

only 67 s. How far has Jason traveled
when he finally coasts to a stop?

A) 10,000 m

B) 7600
m

C) 5400 m

D) 3800 m

A

19) Kieran takes off from rest down a 50 m high, 10 ° slope on his
jet-powered skis. The skis have a

thrust of 280 N parallel to the
surface of the slope. The combined mass of skis and Kieran is
50

kg (the fuel mass is negligible). Kieranʹs speed at the bottom
is 40 m/s. What is the coefficient

of kinetic friction of his
skis on snow?

A) 0.47

B) 0.58

C) 0.23

D) 0.29

A

A factory robot drops a 10 kg computer onto a conveyor belt running
at 3.1 m/s. The materials

are such that μs = 0.50 and μk = 0.30
between the belt and the computer. How far is the

computer
dragged before it is riding smoothly on the belt?

A) 1.6
m

B) 0.98 m

C) 2.3 m

D) 3.0 m

A

You push downward on a box at an angle 25° below the horizontal with
a force of 750 N. If the

box is on a flat horizontal surface for
which the coefficient of static friction with the box is
0.76,

what is the mass of the heaviest box you will be able to
move?

A) 59 kg

B) 68 kg

C) 54 kg

D) 82 kg

A

A person is dragging a packing crate of mass 100 kg across a rough
horizontal floor where the

coefficient of kinetic friction is
0.400. He exerts a force F sufficient to accelerate the
crate

forward. At what angle above horizontal should his pulling
force be directed in order to

achieve the maximum
acceleration?

A) 21.8°

B) 27.7°

C) 30°

D)
34.5°

E) 45°

A

23) A packing crate rests on a horizontal surface. It is acted on by
three horizontal forces: 600 N to

the left, 200 N to the right,
and friction. The weight of the crate is 400 N. If the 600-N force
is

removed, the resultant force acting on the crate is

A)
zero.

B) 200 N to the right.

C) 200 N to the left.

D)
400 N to the left.

E) impossible to determine from the
information given.

A

A 6.0 kg box slides down an inclined plane that makes an angle of 39
° with the horizontal. If

the coefficient of kinetic friction is
0.19, at what rate does the box accelerate down the slope?

A) 4.7
m/s2

B) 5.2 m/s2

C) 5.5 m/s2

D) 6.2 m/s2

A

25) A 200 g hockey puck is launched up a metal ramp that is inclined
at a 30° angle. The

coefficients of static and kinetic friction
between the hockey puck and the metal ramp are μs =

0.40 and μk =
0.30, respectively. The puckʹs initial speed is 63 m/s. What vertical
height does

the puck reach above its starting point?

A) 130
m

B) 270 m

C) 200 m

D) 66 m

A

A 200 g hockey puck is launched up a metal ramp that is inclined at a
30° angle. The

coefficients of static and kinetic friction
between the hockey puck and the metal ramp are μs =

0.40 and μk =
0.30, respectively. The puckʹs initial speed is 4.9 m/s. What speed
does it have

when it slides back down to its starting
point?

A) 2.8 m/s

B) 3.5 m/s

C) 4.2 m/s

D) 4.9 m/s

A

A 4.00-kg block rests on a 30.0° incline as shown in the figure. If
the coefficient of static

friction between the block and the
incline is 0.700, what magnitude horizontal force F must act

on
the block to start it moving up the incline?

D

A box is sliding down an incline tilted at a 12.0° angle above
horizontal. The box is initially

sliding down the incline at a
speed of 1.50 m/s. The coefficient of kinetic friction between
the

box and the incline is 0.340. How far does the box slide down
the incline before coming to

rest?

A) 0.920 m

B) 2.33
m

C) 1.78 m

D) 0.720 m

E) The box does not stop. It
accelerates down the plane.

A

29) A 50.0-kg block is being pulled up a 16.0° slope by a force of
250 N which is parallel to the

slope. The coefficient of kinetic
friction between the block and the slope is 0.200. What is
the

magnitude of the acceleration of the block?

A) 0.528
m/s2

B) 0.158 m/s2

C) 0.412 m/s2

D) 0.983 m/s2

E)
0.260 m/s2

C

In the figure, a T-bar ski tow pulls a skier up a hill inclined at
10° above horizontal. The skier

starts from rest and is pulled by
a cable that exerts a tension T at an angle of 30° above
the

surface of the hill. The mass of the skier is 60 kg and the
effective coefficient of kinetic friction

between the skis and
the snow is 0.100. What is the maximum tension in the cable if
the

starting acceleration is not to exceed 0.400 g?

A) 246 N

B) 366 N

C) 431 N

D) 187 N

E) 535 N

C

A traffic light weighing 100 N is supported by two ropes as shown in
the figure. The tensions

in the ropes are closest to

A) 50 N.

B) 56 N.

C) 63 N.

D) 66 N.

E) 83 N.

E

In the figure, a block of mass M hangs at rest. The rope that is
fastened to the wall is horizontal

and has a tension off 52 N.
The rope that is fastened to the ceiling has a tension of 91
N,and

makes an angle θ with the ceiling. What is the angle θ?

A) 55°

B) 35°

C) 30°

D) 63°

E) 45°

A

34) The magnitude of the drag force of air resistance on a certain
20.0-kg object is proportional to

its speed. If the object has a
terminal speed 80.0 m/s, what is the magnitude of the drag
force

on the object when it is falling with a speed 30.0
m/s?

A) 196 N

B) 7.50 N

C) 15.0 N

D) 73.5
N

E) 42.7 N

D

A 30.0-kg object experiences a drag force due to air resistance with
a magnitude proportional

to the square of its speed. The object
falls with an acceleration of 4.00 m/s 2 downward when it

is
falling downward at 70.0 m/s. What is its terminal speed?

A) 110
m/s

B) 157 m/s

C) 91.0 m/s

D) 172 m/s

E) 108 m/s

C

A ship is being pulled through a harbor at constant velocity by two
tugboats as shown in the

figure. The lines attached to the two
tugboats have the same tension of 200,000 N. Each line

makes an
angle of 28.0° with the direction the ship is being towed. What is the
magnitude of

the drag force due to the water on the ship?

A) 177 × 105 N

B) 1.88 × 105 N

C) 93.9 × 104 N

D)
zero

E) 3.53 × 105 N

E

37) A 1.20-kg ball is hanging from the end of a rope. The rope hangs
at an angle 25.0° from the

vertical when a 15.0 m/s horizontal
wind is blowing. If the windʹs force on the rope is

negligible,
what drag force does the wind exert on the ball?

A) 32.3
N

B) 24.1 N

C) 3.68 N

D) 5.48 N

E) 11.8 N

D

38) An 80.0-kg object is falling and experiences a drag force due to
air resistance. The magnitude

of this drag force depends on its
speed, v, and obeys the equation

Fdrag = (12.0 N · s/m)v + (4.00
N · s2/m2)v2. What is the terminal speed of this object?

A) 6.45
m/s

B) 72.2 m/s

C) 34.2 m/s

D) 12.6 m/s

E) 47.3 m/s

D

39) An object weighing 4.00 N falls from rest subject to a frictional
drag force given by Fdrag =

bv2, where v is the speed of the
object and b = 3.00 N · s2/m2. What terminal speed will
this

object approach?

A) 1.78 m/s

B) 3.42 m/s

C)
1.15 m/s

D) 2.25 m/s

E) 0.75 m/s

C