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# Practice Quiz

By rawrr183 Oct 09, 2014 5122 Words
wong (eyw89) – Quiz 2 Practice – sudarshan – (57415)

1

This print-out should have 59 questions.
Multiple-choice questions may continue on
the next column or page – ﬁnd all choices

face of the table? Assume the boxes each
have masses of 2.0 kg, the coeﬃcient of static
friction is µs between table and box, and the
acceleration due to gravity is 10 m/s2 .

001 10.0 points
A block accelerates 3 m/s2 down a plane inclined at angle 27.0◦. The acceleration of gravity is 9.81 m/s2 .

1. The force of the static friction would have
a vertical component in this situation, and
that is impossible since it must be parallel to
the table surface.

2

3

s
m/

2. 20 N
3. Very small, almost zero

m
µk

27◦

4. 2.5 N
5. 5.0 N

Find µk between the block and the inclined
plane.
1. 0.166

6. fs would have to be greater than 20 N,
which is physically impossible, so this is not a
realistic situation.
7. 10 N

2. 0.148

8. Impossible to say from the information
given.

3. 0.510

003

4. 0.853

10.0 points

A block with an initial velocity v0 slides up
and back down a frictionless incline.

5. 1.289
002

10.0 points

Two identical boxes are connected by a
string of negligible mass, which runs across a
frictionless peg. One box is on a horizontal
table, while the other box hangs vertically.
If the hanging box is released from rest, it
remains at rest.
m
m

What must be the force of static friction
between the box on the table, and the sur-

v0

θ

Which graph best represents a description
of the velocity of the block versus time? The
initial position of the block is the origin;
i.e., x = 0 at t = 0 . Consider down the track
to be the positive x-direction.

wong (eyw89) – Quiz 2 Practice – sudarshan – (57415)
v

v
t

1.

2

t

8.

v
v

t

2.

t

9.

v
t

3.

v
10.

t

v
t

4.

v
t

5.

004 10.0 points
If a car hits a tree, the car’s occupants (if
the car has no seat belts or air bags) will be
violently accelerated forward and strike the
dashboard with murderous force, due to an
initial forward force exerted on their bodies
by the backs of their seats.
1. False
2. None of these

v
t

6.

3. This may happen in a few cases, but it is
very rare.
4. True
5. This may happen in many cases, but not
in every case.

v
7.

t
005 (part 1 of 5) 10.0 points
A car travels at a speed of 30 m/s around a
The acceleration of gravity is 9.8 m/s2 .

wong (eyw89) – Quiz 2 Practice – sudarshan – (57415)

3

In this case, which of these two forces has
the smaller magnitude?
1. m g
1. 9

g
M

2. None of these
µ

36◦

3. Both have the same magnitude.
4. n
5. If a is downward, n = 0 .

What is the net centripetal force needed to
keep the car from skidding sideways?
006 (part 2 of 5) 10.0 points
Were there no friction between the car’s tires
and the road, what centripetal force could be
provided just by the banking of the road?
007 (part 3 of 5) 10.0 points
Now suppose the friction force is suﬃcient to
keep the car from skidding. Calculate the
magnitude of the normal force exerted on the
car by the road’s surface. Hint: Check the
before proceeding with this and the following
questions.
008 (part 4 of 5) 10.0 points
Calculate the magnitude of the friction force.
009 (part 5 of 5) 10.0 points
Calculate the lowest possible value of the
static friction coeﬃcient µs that would prevent the car from skidding. 010 10.0 points
Consider a person standing in an elevator that
is moving at constant speed upward. The
person, of mass m, has two forces acting upon
him, the downward force m g due to gravity,
and the upward supporting force n exerted by
the ﬂoor of the elevator.

6. If a is downward, mg = 0 .
011 (part 1 of 3) 10.0 points
Consider a loop-the-loop system where the
radius of the loop is R. A small block (of
negligible size) is released from rest at the
1
point P , which is at a height of 4 R.
8
m
P

33
R
8

C
R
B

A
What is the kinetic energy KB at B? Friction between the block and the track is negligible. 19
mgR
5
18
2. KB =
mgR
5
31
mgR
3. KB =
8
25
4. KB =
mgR
8
1. KB =

wong (eyw89) – Quiz 2 Practice – sudarshan – (57415)
5. KB =

16
mgR
5

2. NA =

6. KB =

11
mgR
5

3. NA =

7. KB =

26
mgR
7

4. NA =

8. KB =

19
mgR
7

5. NA =

9. KB =

17
mgR
7

6. NA =

10. KB =

19
mgR
8

7. NA =

012 (part 2 of 3) 10.0 points
What is the tangential speed vC at C?

8. NA =
9. NA =

37
mg
5
23
mg
2
27
mg
4
39
mg
4
35
mg
4
73
mg
7
45
mg
4
55
mg
7
37
mg
4

1. vC =

16
gR
5

2. vC =

34
gR
7

3. vC =

38
gR
7

4. vC =

12
gR
5

5. vC =

17
gR
4

1. Twice as far

6. vC =

8
gR
3

2. Half as far

7. vC =

23
gR
4

8. vC =

20
gR
7

10. NA =

014 10.0 points
Car B has the same mass as Car A but is
going twice as fast.
If the same constant force brings both cars
to a stop, how far will car B travel in coming
to rest as compared to the distance car A
traveled?

3. Eight times as far
4. Three times as far
5. None of these

9. vC =

27
gR
4

6. The same distance

10. vC =

11
gR
2

7. A quarter as far

013 (part 3 of 3) 10.0 points
What is the force NA with which the track
pushes up on the block at the point A (at the
bottom of the loop)?
21
1. NA =
mg
2

4

8. Insuﬃcient information is given.
9. Four times as far
015

10.0 points

wong (eyw89) – Quiz 2 Practice – sudarshan – (57415)
A ball of mass M is suspended by a thin
string (of negligible mass) from the ceiling
of an elevator. The vertical motion of the
elevator as it travels up and down is described
in the statements below. Indicate for each of
the situations described the relation between
value of the tension T in the string and the
weight of the ball M g, or whether one cannot
tell.
T
v
M

Elevator
with a
weight
held by
a string
inside it

5

block is 9.78 kg and the acceleration of gravity
is 9.8 m/s2 .
017 10.0 points
A balloon of mass M is ﬂoating motionless in
the air. A person of mass less than M is on
a rope ladder hanging from the balloon. The
person begins to climb the ladder at a uniform
speed v relative to the ground.
How does the balloon move relative to the
ground?
1. Up with a speed less than v
2. Down with speed v
3. Down with a speed less than v

The elevator is traveling upwards and its
upwards velocity is increasing as it starts towards a higher ﬂoor. 1. T < M g
2. T = M g
3. T > M g
4. Cannot be determined.
016 10.0 points
The block is released from rest on the incline
with the spring initially unstretched:
78.2 N/m
x

8
9. 7

5. Up with speed v
018 10.0 points
Two carts are put back-to-back on a track.
Cart A has a spring-loaded piston; cart B,
which has twice the inertial mass of cart A, is
entirely passive. When the piston is released,
it pushes against cart B, and the carts move
apart.
How do the magnitudes of the ﬁnal momenta p and kinetic energies K compare? 1. pA = pB , KA > KB
2. pA < pB , KA = KB
3. pA < pB , KA < KB
4. pA > pB , KA > KB

kg

µ=

4. The balloon does not move.

0

30◦

5. pA > pB , KA < KB
6. pA = pB , KA < KB

Choosing down the incline as the positive
direction, what is its acceleration at its lowest
point? The angle of inclination is 30 ◦ , the
spring constant is 78.2 N/m the mass of the

7. pA = pB , KA = KB
8. pA > pB , KA = KB

wong (eyw89) – Quiz 2 Practice – sudarshan – (57415)
9. pA < pB , KA > KB
019 10.0 points
Two blocks of masses M and 3M are placed
on a horizontal, frictionless surface. A light
spring is attached to one of them, and the
blocks are pushed together with the spring
between them.

3M

M
Before
(a)
v

impact lifts the block 0.23 m up. (That is, the
block — with the bullet stuck in it — rises
0.23 m up above its initial position, and then
falls back down.)
Given g = 9.8 m/s2 . What was the initial
velocity of the bullet?
021 (part 1 of 2) 10.0 points
Consider the 693 N weight held by two cables
shown below. The left-hand cable had tension T2 and makes an angle of 54 ◦ with the ceiling. The right-hand cable had tension T1
and makes an angle of 50◦ with the ceiling.

3M

M

54 ◦

50

The two blocks are at rest ﬁrst. Then the
cord holding them together is burned, after
which the block of mass 3M moves to the
right with a speed of 2 m/s. What is the
speed of the block of mass M?
1. 0 m/s

T1

T2

After
(b)

6

693 N
a) What is the tension in the cable labeled
T1 slanted at an angle of 50◦ ?
022 (part 2 of 2) 10.0 points
a) What is the tension in the cable labeled T2
slanted at an angle of 54◦ ?

2. 6 m/s
3. 2 m/s
4. impossible to determine
5. 1.5 m/s
6. 0.67 m/s
7. 4 m/s
020 10.0 points
A 11.7 g bullet is ﬁred vertically into a 1.65 kg
block of wood.

023 10.0 points
You are given two carts, A and B. They look
identical and you are told that they are made
of the same material. You place A at rest on
an air track and give B a constant velocity directed to the right so that it collides elastically with A. After the collision, both carts move
to the right, the velocity of B being smaller
than what it was before the collision.
What do you conclude?
1. Cart A is hollow.

v0

The bullet gets stuck in the block, and the

3. Cart B is hollow.

wong (eyw89) – Quiz 2 Practice – sudarshan – (57415)
4. The two carts are identical.

1. 0.2

024 10.0 points
You are on a rooftop and you throw one ball
straight down and another straight up. The
second ball, after rising, falls and also strikes
the ground below.
If air resistance can be neglected and if your
downward and upward initial speeds are the
same, how will the speed of the balls compare
upon striking the ground?
1. They have same speed.
2. The speed of the second ball is smaller
than that of the ﬁrst one.
3. The speed of the second ball is larger than
that of the ﬁrst one.

2. 0.05
3. 20
4. 2
5. 0.5
027 10.0 points
On the surface of the earth is a pendulum of
mass m and length ℓ.
If the pendulum is allowed to swing down
from rest starting from an initial horizontal
position, with the forces acting being T, the
tension in the string, and m g , the force of
gravity, how much work has been done on the
pendulum as it swings through the vertical
position?

1. m g +T times
025 10.0 points
A block starts at rest and slides down a frictionless track except for a small rough area on a horizontal section of the track (as shown in
the ﬁgure below).
It leaves the track horizontally, ﬂies through
the air, and subsequently strikes the ground.
The acceleration of gravity is 9.81 m/s2 .
9.81 m/s2

2.2 m

h

v

1.2 m
µ=0.2

4.15 m
At what height h above the ground is the
block released?
026 10.0 points
A horizontal force of 100 N is used to pull a
crate, which weighs 500 N, at constant velocity across a horizontal ﬂoor. What is the coeﬃcient of kinetic friction?

π
ℓ, the distance traveled.
2

2. T ℓ
3. m g ℓ, with the pendulum’s KE increasing
by this amount.
4. Zero; energy is conserved.
028

512 g

7

10.0 points

A 7 kg mass slides to the right on a surface
having a coeﬃcient of friction 0.15 as shown.
The mass has a speed of 4 m/s when contact is
made with a spring that has a spring constant
101 N/m. The mass comes to rest after the
spring has been compressed a distance d. The
mass is then forced toward the left by the
spring and continues to move in that direction
beyond the unstretched position. Finally the
mass comes to rest a distance D to the left of
the unstretched spring.

wong (eyw89) – Quiz 2 Practice – sudarshan – (57415)
v

101 N/m

7 kg
4 m/s
7 kg
d
v⊃ = 0

8

How long does it take Tperiod for the ball to
rotate once around the axis?
031 10.0 points
A block is at rest on the incline shown in the
ﬁgure. The coeﬃcients of static and kinetic
friction are µs = 0.6 and µk = 0.51, respectively.
The acceleration of gravity is 9.8 m/s2 .

7 kg

43

vf

kg
µ

28◦

7 kg
v⊢ = 0
7 kg

101 N/m

D

µ = 0.15
Find the compressed distance d. The acceleration of gravity is 9.8 m/s2 . Answer in units of m
029 (part 1 of 2) 10.0 points
A small metal ball is suspended from the ceiling by a thread of negligible mass. The ball is then set in motion in a horizontal circle so
that the thread describes a cone.
The acceleration of gravity is 9.8 m/s2 .

What is the frictional force acting on the
43 kg mass?
032 10.0 points
Two crates are touching, resting on a practically frictionless surface. If you apply a force F with your hand against the larger crate
of mass M , both crates accelerate across the
surface, and remain in contact.
a
F′
F
M
m

Which statement is wrong?

20

9.8 m/s2

1. The force F ′ = −m a.

1. 8
m
v
5.1 kg
What is the speed of the ball when it is in
circular motion?
030 (part 2 of 2) 10.0 points

2. The smaller crate exerts a force F ′ backward on the larger crate, equal and opposite to the force (not shown) that the larger crate
exerts forward on the smaller one to accelerate it.
3. The forces F and F ′ are equal and opposite, as required by Newton’s third law. 4. The magnitude of the acceleration of the

wong (eyw89) – Quiz 2 Practice – sudarshan – (57415)
F
, where F
M +m
is the magnitude of F and m is the mass of
the smaller crate.
two crates will be given by

033 10.0 points
Five ramps lead from the ground to the second
ﬂoor of a workshop, as sketched below. All
ﬁve ramps have the same height; ramps B,
C, D and E have the same length; ramp A is
longer than the other four. You need to push
a heavy cart up to the second ﬂoor and you
may choose any one of the ﬁve ramps.

9

034 10.0 points
A box is attached to an unstretched spring
of force constant k and rests on a horizontal
tabletop. The box is moved out to the right
a distance ℓ along the table, stretching the
spring, and released. It remains at rest when
released.
k
m

A

B

C

What is the force of static friction in this
situation?
1. fs = µs m g to the right.
2. fs = k ℓ to the right.

D

3. fs = k ℓ to the left.
E

Assuming no frictional forces on the cart,
which ramp would require you to do the least
work?
1. Unable to determine without knowing the
exact proﬁles of ramps C, D or E.
2. Ramp D.
3. Same work for all ﬁve ramps.
4. Ramp B.
5. Ramp A.
6. Same work for the straight ramps A and
B; less work for ramps C, D, and E.
7. Same work for ramps B, C, D or E; more
work for ramp A.
8. Ramp C.
9. Ramp E.

4. fs = µs m g to the left.
035 10.0 points
A bowling ball is hanging in mid-air at rest
in a room on board the International Space
Station. An astronaut throws a golf ball directly at the bowling ball, and they collide elastically.
Compared to its values before the collision,
the golf ball after the collision has a
1. All of these
2. momentum that has changed from p to
roughly −p .
3. slightly less momentum.
4. slightly less kinetic energy.
5. None of these
036 10.0 points
Static friction 0.49 between a 0.9 kg block
and a 3.9 kg cart. There is no kinetic friction

wong (eyw89) – Quiz 2 Practice – sudarshan – (57415)

F

3.9 kg

µ = 0.49

9.8 m/s2

between the cart and the horizontal surface.
The acceleration of gravity is 9.8 m/s2 .

10

3.27 m

0.9 kg

What minimum force F must be exerted on
the 3.9 kg cart in order for the 0.9 kg block
not to fall?

What minimum coeﬃcient of friction between a rider’s clothing and the wall of the cylinder is needed to keep the rider from
slipping? The acceleration due to gravity
is 9.81 m/s2 .

1. F = 91 N
2. F = 76 N
3. F = 94 N

038 10.0 points
A 4.2 kg block is pushed along the ceiling with
a constant applied force of 80 N that acts at
an angle of 56◦ with the horizontal. The block
2
accelerates to the right at 5.4 m/s2 .

4. F = 77 N
µ

5. F = 96 N

4.2 kg

6. F = 49 N

5.4 m/s2

80

7. F = 66 N

N

56

8. F = 70 N
9. F = 68 N
10. F = 74 N
037 10.0 points
In a popular amusement-park ride, a cylinder of radius 3.27 m is set in rotation at an angular speed of 5.36 rad/s, as shown in the
ﬁgure. The ﬂoor then drops away, leaving the
riders suspended against the wall in a vertical
position.

What is the coeﬃcient of kinetic friction
between the block and the ceiling? The acceleration due to gravity is 9.81 m/s2 . 039

10.0 points

A box of mass M is being accelerated up a
vertical wall by a constant force F applied at
an angle θ with the vertical, as shown.
a
M
F

θ

µk

wong (eyw89) – Quiz 2 Practice – sudarshan – (57415)
If the coeﬃcient of kinetic friction between
the box and wall is µk , what is the magnitude
of the acceleration of the box?
F
from Newton’s Second Law
M
F
(cos θ − µk sin θ) − g
2. a =
M
F sin θ
3. a =
M

1. a =

4. a = µk g
F
(sin θ − µk cos θ) + g
M
F
(cos θ + µk sin θ) − g
6. a =
M
F sin θ
7. a = g −
M
F
8. a =
−g
M
F
(sin θ − µk cos θ) − g
9. a =
M

11

Find the speed of the bullet. The acceleration due to gravity is 9.81 m/s2 . Answer in units of m/s
041 10.0 points
A pendulum made of a string and a sphere
is able to swing in a vertical plane. The
pendulum is released from a position of 70 ◦
from vertical as shown in the ﬁgure below.
The string hits a peg located a distance d
below the point of suspension and rotates
The acceleration of gravity is 9.8 m/s2 .

5. a =

10. a = 0 since kinetic friction makes the box
slide at constant velocity
040

33
2.8 m

vi

5.2 kg

d

70 ◦
9.8 m/s2
Find the smallest value of d (highest peg
position) in order for the sphere to swing in a
full circle centered on the peg.

10.0 points

A bullet of mass 3 g is ﬁred into the bob of
a ballistic pendulum of mass 5.2 kg. When
the bob is at its maximum height, the strings
make an angle of 33 ◦ with the vertical. The
length of the pendulum is 2.8 m.

3g

m
7 kg 10

vf

042 10.0 points
Note: The pendulum bob is released at a
height below the height of the peg.
A pendulum made of a string of length
10.5 m and a spherical bob of mass 7.3 kg
and negligible raius swings in a vertical plane.
The pendulum is released from an angular
position 39 ◦ from vertical as shown in the
ﬁgure below. The string hits a peg located
a distance 6 m below the point of suspension
and swings about the peg up to an angle α
on the other side of the peg. Then, the bob
proceeds to oscillate back and forth between
these two angular positions.
The acceleration of gravity is 9.8 m/s2 .

7.3 kg

39 ◦

α
9.8 m/s2

What is the maximum angle α which the
pendulum will swing to the right after hitting
the peg as shown above?
043 10.0 points
Consider the acceleration of block with
mass m across the frictionless table towards
the pulley.

Case I

m

In case I a block of mass m is attached to
the end of the string.
m

Case II

vx

1.3 m
µ=0.3

∆x
What is the speed v of the block when it
leaves the track?
045 (part 2 of 3) 10.0 points
What is the horizontal distance x the block
travels in the air?
046 (part 3 of 3) 10.0 points
What is the total speed of the block when it
hits the ground?

mg

In case II a force of m g is acts on the end
of the string.
The acceleration of block m is
1. greater in case I.

8.1 kN/m 501 g
5.3 cm

m

12

044 (part 1 of 3) 10.0 points
A block is pushed against the spring with
spring constant 8.1 kN/m (located on the lefthand side of the track) and compresses the spring a distance 5.3 cm from its equilibrium
position (as shown in the ﬁgure below).
The block starts at rest, is accelerated by
the compressed spring, and slides across a
frictionless track except for a small rough area
on a horizontal section of the track (as shown
in the ﬁgure below).
It leaves the track horizontally, ﬂies through
the air, and subsequently strikes the ground.
The acceleration of gravity is 9.8 m/s2 .

2.3 m

10

.5

m

6m

wong (eyw89) – Quiz 2 Practice – sudarshan – (57415)

047 (part 1 of 2) 10.0 points
A wooden block hangs on a string. A bullet
hits and sticks in the block.
What is conserved in the collision of the
bullet with the block?
1. neither momentum nor mechanical energy

2. greater in case II.
2. momentum and mechanical energy
3. the same in both cases.
3. only mechanical energy

wong (eyw89) – Quiz 2 Practice – sudarshan – (57415)

13

A

4. only momentum
048 (part 2 of 2) 10.0 points
After the bullet collides and sticks in the
wooden block that hangs on a string, the
block swings out from its lowest position and
reaches its highest position.
What is conserved in the motion after the
bullet has collided with the block and the
block swings up to the highest position?
1. momentum and mechanical energy
2. neither momentum nor mechanical energy
3. only momentum
4. only mechanical energy
049 (part 1 of 2) 10.0 points
Consider the 40 N weight held by two cables
shown below. The left-hand cable is horizontal.

43

40 N
a) What is the tension in the cable slanted
at an angle of 43◦ ?
050 (part 2 of 2) 10.0 points
b) What is the tension in the horizontal cable?
051 10.0 points
Consider a frictionless roller coaster such as
depicted.

C
hA
16 m
B
Passenger cars start at point A with zero
initial speed, accelerate as they go down to
point B, swing around the circular vertical
loop B → C → B of radius 16 m, then go
on towards further adventures (not shown).
When a car goes through the top of the loop
(point C), the passengers feel weightless (for
just a moment).
What is the height hA of the starting
point A above the loop’s bottom B? The acceleration of gravity is 9.8 m/s2 . Answer in units of m
052 10.0 points
Consider a loop-the-loop system where the
radius of the loop is R. A small block (of
negligible size) is released from rest at the
4
point P , which is at a height of 4 R.
5
m
P

24
R
5

C
R
B

A
What is the force NA with which the track

wong (eyw89) – Quiz 2 Practice – sudarshan – (57415)
pushes up on the block at the point A (at
the bottom of the loop)? Consider friction
between the block and the track to be negligible.
1. NA =
2. NA =
3. NA =
4. NA =
5. NA =

53
mg
5
65
mg
7
47
mg
5
21
mg
4
33
mg
4

14

054 10.0 points
Which of these systems is NOT an “isolated
system” to which conservation of momentum
can be applied?
1. A ball falls freely toward the ﬂoor. (Ignore
air friction.) System: the ball
2. Two masses connected by a spring oscillate on a frictionless tabletop. System: the two masses and the spring
3. A ball falls freely toward the ground.
(Ignore air friction.) System: the ball and the
earth

6. NA = 12 m g
7. NA =
8. NA =
9. NA =
10. NA =

31
mg
3
49
mg
5
35
mg
4
41
mg
5

053 10.0 points
Consider a frictionless track as shown in the
ﬁgure.
A block of mass 3.411 kg is released on
the track at a height 5.08 m above the level
surface. It slides down the track and makes a
head-on elastic collision with a block of mass
6.822 kg, initially at rest.
The acceleration of gravity is 9.8 m/s2 .

5. All of these in fact are isolated systems.
6. A single car slips on an icy road. (Friction
with the ice is negligible.) System: the car
7. Two cars slipping on an icy road collide
with one another. (Friction with the ice is
negligible.) System: the two cars
055 (part 1 of 3) 10.0 points
An air puck of mass 0.12 kg is tied to a string
and allowed to revolve in a circle of radius
1.4 m on a horizontal, frictionless table. The
other end of the string passes through a hole
in the center of the table and a mass of 0.43 kg
is tied to it. The suspended mass remains in
equilibrium while the puck revolves.

5.08 m

3.411 kg

4. A billiard ball collides with another billiard ball on a level pool table. (Ignore friction with the table during the instant of the collision.) System: the two balls

0.12 kg
1.4 m
6.822 kg
v

Calculate the height to which the block
with mass 3.411 kg rises after rebounding
from the collision.

0.43 kg

wong (eyw89) – Quiz 2 Practice – sudarshan – (57415)
What is the tension in the string? The
acceleration due to gravity is 9.8 m/s2 .
056 (part 2 of 3) 10.0 points
What is the horizontal force acting on the
puck?
057 (part 3 of 3) 10.0 points
What is the speed of the puck?
058

Find the distance D where the mass comes
to rest. The acceleration due to gravity is
9.8 m/s2 .
059

v

A 6 kg mass slides to the right on a surface
having a coeﬃcient of friction 0.25 as shown
in the ﬁgure. The mass has a speed of 6 m/s
when contact is made with a spring that has
a spring constant 107 N/m. The mass comes
to rest after the spring has been compressed
a distance d. The mass is then forced toward
the left by the spring and continues to move
in that direction beyond the unstretched position. Finally the mass comes to rest a distance D to the left of the unstretched spring.
v
107 N/m
6 kg

At the position shown in the ﬁgure, which
arrow best represents the direction of the acceleration of the mass? The acceleration of gravity is 9.8 m/s2 and no external forces act
on the system.
1.

2.

6 m/s

3.

6 kg

4.

d
v⊃ = 0

5.

6 kg
6. The mass is traveling at a constant velocity, so it has no acceleration.

vf
6 kg

6 kg

7.
8.

D

10.0 points

A mass slides with negligible friction on a
circular track of 1 m radius oriented vertically.
Its speed at the position shown in the ﬁgure
is 3.13 m/s.

10.0 points

v⊢ = 0

15

107 N/m
9.
µ = 0.25

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