8A_Lab2_ForcesAndAccelerations
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University of California, Berkeley *
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Physics
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Feb 20, 2024
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LAB
2
Forces And Accelerations
In this laboratory, we will be analyzing a spring scale and a cart and track system with a various assortment of masses.
The goal of this lab is to better familiarize you with Newton’s Laws as well as forces and accelerations in general.
Given Quantities
• Track Length
=
0.8m
• Mass of Weight Hook
=
5g
• Mass of Cart
=
520g
• Mass of Pulley
=
30g
• Mass of String
º
0.5g
• Mass of Rectangular Metal Block
=
500g
2.1
Analyzing Net Force And Accelerations
In this part of the lab, we will try to better understand the relationship between forces and accelerations by using a
mass and a spring scale. As background, a spring scale works in a similar fashion to an ordinary household scale.
When a weight is attached to it, its spring stretches and the scale displays the weight of the attached object in units of
Newtons.
Figure 2.1: 500 Gram Mass on Spring
105
2. F
ORCES
A
ND
A
CCELERATIONS
1.
Take the
500g
mass (or another mass that you have been provided) and attach it to the end of the spring scale.
Because the spring scales may not be totally accurate, record the reading on the scale in the space below.
2.
Draw a
Free Body Diagram
for the mass and spring scale system while it is at rest in the space below. Include
the “Force of the Scale” and “Weight of the Mass”. Indicate the relationship between these two forces.
Figure 2.2: Moving Scale
3.
Before we proceed any farther, let’s do a quick thought experiment. What would happen to the reading of
the scale if you were to move the scale up or down with a constant velocity, while the mass was attached (but
without touching the mass)? Would the reading on the scale increase, decrease, or stay the same? Briefly
explain your reasoning.
4.
Now, with the
500g
mass attached, hold the scale and move it up and then down with a constant velocity.
What happens to the reading of the scale as you do so? Was your group’s hypothesis correct? If not, explain
why.
5.
Draw a
Free Body Diagram
for the mass and scale system as it is moved with constant velocity. Indicate
the relationship between the “Force of the Scale” and “Weight of the Mass” and indicate the direction of
acceleration if applicable.
6.
Before we proceed any farther, let’s do another quick thought experiment. What would happen to the reading
of the scale if you were to move the scale up from the floor to approximately shoulder level rather quickly?
Would the reading on the scale increase, decrease, or stay the same? Briefly explain your reasoning.
7.
With the
500g
mass attached, one teammate will hold the scale (with mass still attached) close to the ground
and then move it up to shoulder level rather quickly. The rest of the team will observe the reading of the scale.
What happens to the reading of the scale as the mass is moved quickly upward? Was your group’s hypothesis
correct? If not, explain why.
106
470g
The
force
of
the
spring
scale
and
the
weight
Force
of
scale
of
the
massare
the
same
magnitude
Gravity's
force
pulls
down
on
the
mass
while
the
spring
pushes
up
on
it
weight
of
masi
Moving
the
entire
system
upward
would
cause
the
weight
tobe
heavier
since
the
object
is
moving
against
gravity
The
scale
read
a
heavier
weight
as
we
moved
the
system
up
showing
that
our
hypothesis
was
correct
1
Egg
L
thereis
zero
acceleration
when
velocity
is
constant
The
reading
on
the
scale
would
increase
since
thenet
force
will
no
longer
be
zero
due
to
the
increase
of
upward
force
on
the
spring
with
upwardacceleration
2.1. Analyzing Net Force And Accelerations
8.
Draw a
Free Body Diagram
for the mass and scale system as it is moved upward quickly from the floor. Indicate
the relationship between the “Force of the Scale” and “Weight of the Mass” and indicate the direction of
acceleration if applicable.
9.
Before we proceed any farther, let’s do another thought experiment. What would happen to the reading of the
scale if you were to move it from shoulder level to the floor rather quickly? Would the reading on the scale
increase, decrease, or stay the same? Briefly explain your reasoning.
10.
With the
500g
mass attached, have one teammate hold the scale and mass at shoulder level then have them
move it toward the ground rather quickly while the rest of the team observes the reading of the scale. What
happens to the reading of the scale as the mass is moved quickly downward? Was your group’s hypothesis
correct? If not, explain why.
11.
Draw a
Free Body Diagram
for the mass and scale system as it is moved downward quickly. Indicate the rela-
tionship between the “Force of the Scale” and “Weight of the Mass” and indicate the direction of acceleration
if applicable.
12.
Using the principles you learned above explain how someone would feel in an elevator as it initially moves
upward, as it is traveling upward, and as it comes to a stop. Specifically, explain whether someone would feel
lighter, heavier, or the same weight at these three points and briefly explain why using a combination of Free
Body Diagrams and brief explanations.
107
My
hypothesis
was
correct
since
the
reading
on
the
scale
increases
quite
rapidly
and
by
a
large
margin
as
the
scale
is
quickly
moved
upwards
acceleration
is
present
in
the
upwards
I
force
of
scale
direction
force
of
mass
The
reading
on
the
scale
will
decrease
because
the
net
force
will
no
longer
be
zero
because
the
downward
forcewhich
used
tobe
just
the
weight
ofthe
mass
mxg
would
now
include
the
downward acceleration
My
hypothesis
was
correct
because
the
reading
on
the
scale
decreases
rapidly
When
we
move
the
scale
downwards
acceleration
is
force
of
scale
present
in
the
downwards
direction
weight
of
mass
initially
movesupward
travellingupward
coming
to
a
stop
force
of
elevator
f
In
elevator
of
long
of
elevator
mass
force
is
greater
in
downwards
direction
The
movement
would
be
at
a
constant
making
net
force
negative
which
makes
velocitymeaning
zero
acceleration
in
Acceleration
is
in
the
upwards
dirite
either
direction
andthat
both
present
causing
you
to
feel
heavier
than
you
feel
lighter
thannormal
forces
are
equal
You
will
feel
the
same normal
2. F
ORCES
A
ND
A
CCELERATIONS
2.2
Newton’s First Law / Analyzing Simple Accelerations
Take your track and place it flat against the table, and then place your cart on the track. Ensure that the track is
flat and level, and that the cart can remain at rest while on the track. Adjust the track as necessary. Ensure that the
“Bubble Level” is securely attached to the cart using the piece of putty, and that the bubble is centered between the lines
when the cart is at rest i.e. that the level is parallel to the table. Assume that all surfaces are perfectly smooth, which
means the cart does not slow down due to friction. Refer to the picture below.
Figure 2.3: Cart on Level Track
1. Briefly explain Newton’s First Law and provide an every-day example below.
2.
Before we begin the next part of the lab, let us briefly think about what is inside of a bubble level. Consider
that a bubble level contains some sort of fluid, and some sort of gas. For our purposes, we can assume that
the level contains a combination of water and air. Which of these components likely has more mass, the water
or the air bubble?
Now we are going to try and make some predictions. For each of the motions described below,
predict
where the
bubble will be in the level and sketch the location of the bubble within each box. For each case, try and briefly explain
your prediction. It may also be helpful to think about what happens to the fluid that is in the level during these time
periods.
Case 1: Cart moves to the right and
is speeding up.
Case 2: Cart moves to the right with
constant velocity.
Case 3: Cart moves to the right and
is slowing down.
Explanation:
Explanation:
Explanation:
Now you will try it out. Take your cart and place it at the end of the track farthest away from the bumper. With
your hand, give the cart a gentle but quick tap toward the end of the track with the bumper.
1.
While your hand is pushing the cart, sketch the position of the bubble. What can you say about the cart’s
108
an
object
stays
in
motion
or
at
rest
unless
acted
upon
by
an
outside
force
16
skating
An
object
stays
at
motionor
at
rest
unless
acted
upon
by
an
outside
force
ie
Ice
skating
Water
has
a
higher
mass
than
the
air
bubble
iii
EEd.name
immuna
shift
shifting
it
mass
shift
2.2. Newton’s First Law / Analyzing Simple Accelerations
acceleration during this time, is it zero or nonzero? Draw a
Free Body Diagram
of the cart at this time and if
applicable, draw an arrow that points in the direction of the cart’s acceleration.
2.
After your hand is no longer touching the cart and it is moving toward the bumper, sketch the position of the
bubble. What can you say about the cart’s acceleration during this time, is it zero or nonzero? Draw a
Free
Body Diagram
of the cart at this time and if applicable, draw an arrow that points in the direction of the cart’s
acceleration.
3.
What happens to the position of the bubble the moment the cart hits the bumper? Sketch the position of the
bubble. What can you say about the cart’s acceleration during this time, is it zero or nonzero? Draw a
Free
Body Diagram
of the cart at this time and if applicable, draw an arrow that points in the direction of the cart’s
acceleration.
4.
Using Newton’s first law, try to explain what is happening to both the bubble and the fluid during the different
periods of motion. Were your predictions correct?
2.2.1
Newton’S First Law / Analyzing Accelerations Due to Gravity
Take your track and place it on the metal bar so that it is inclined at a small angle of about 15 degrees. Make sure that
the black bumpers underneath the track are behind the metal bar, to ensure that the track will not slide off during the
next part of the laboratory. While the cart is resting on the inclined track against the bumper, adjust your Bubble level
so that the bubble is positioned in the center between the two lines while the cart is at rest. Meaning, the level should
be parallel to the table, even though the cart is now on an incline. Assume that all surfaces are perfectly smooth, which
means the cart does not slow down due to friction.
Figure 2.4: Cart on a Sloped Track
Like before, we are going to try and make some predictions. For each of the motions described below,
predict
where
the bubble will be in the level and sketch the location of the bubble within each box. For each case, try and briefly
explain your prediction. It may also be helpful to think about what happens to the fluid that is in the level during
these time periods.
109
The
acceleration
is
nonzero
positive
Fhand
dairy
oh
I
1mg
The
acceleration
iszero
offing
The
acceleration
is
nonzero
negative
Fumff
Ing
s
direction
of
deacceleration
My
predictions
werecorrect
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Layout
ReferenceS
Matlings
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View
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" Aa▼ | Ao|:、三、、|E T
AaBbCcl AaBbC AaBbCcI AABBCCD
=|三|.。
Emphasis
Heading 1
I Normal
Subtitle
Paragraph
Styles
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Time, t
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yı(m)
y2(m)
y3(m)
y4(m)
ys(m)
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.00
0.50
1.0
1.4
1.1
1.4
1.5
1.28
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0.75
2.6
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2.5
3.1
2.84
0.5625
1.00
4.8
4.4
5.1
4.7
4.8
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1.25
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