


101Fa15Exam1VersionA.pdf
101Fa15Exam1VersionA.pdf
Showing 1012 out of 13
101Fa15Exam1VersionA.pdfPhysics 101 Hour Exam 1 O...
101Fa15Exam1VersionA.pdfPhysics 101 Hour Exam 1 October
101Fa15Exam1VersionA.pdfPhysics 10...
101Fa15Exam1VersionA.pdfPhysics 101 Hour Exam 1 October
Page 10
21)
22)
The next two questions pertain to the situation described below
.
A block of mass m
1
= 5 kg on a frictionless inclined plane of angle 30
o
is connected by a cord over a
small frictionless pulley to a second block of mass m
2
= 3.3 kg hanging vertically. We find that the
tension in the string is T = 29.3 N.
What is the acceleration of mass m
1
?
a.
32.37 m/s
2
b.
9.81 m/s
2
c.
0.95 m/s
2
d.
2.01 m/s
2
e.
0 m/s
2
The cord now breaks. The acceleration of m
1
a.
stays in the same direction
b.
Goes to zero
c.
reverses direction
Page 8 of 9
Page 11
23)
24)
Mass (M) can be measured in kilograms (kg) and velocity (v) can be measured in meters per
second (m/s). Kinetic energy is given by E = ½ Mv
2
. Which of the following is a unit of kinetic
energy?
a.
kg m
2
/s
2
b.
m s
2
/kg
c.
kg s /m
Which of the following is necessarily NOT in equilibrium?
a.
A parachuter descending at constant velocity
b.
A car accelerating along a road
c.
A pendulum at rest
d.
A train moving along a straight track at constant speed
e.
A crate resting on the floor
Page 9 of 9
Page 12
5/1/2015
1
Physics 101 Formulas
Kinematics
v
ave
= Δ
x
/Δt
a
ave
= Δ
v
/Δt
v = v
0
+ at
x = x
0
+ v
0
t +
1
/
2
at
2
v
2
= v
0
2
+ 2aΔx
g = 9.8 m/s
2
= 32.2 ft/s
2
(near Earth’s surface)
Dynamics
Σ
F
= m
a
F
g
= Gm
1
m
2
/ R
2
F
g
= mg (near Earth’s surface)
f
s,max
= μ
s
F
N
Gravitational constant, G = 6.7 x 10
–11
N∙m
2
/kg
2
f
k
= μ
k
F
N
a
c
= v
2
/ R = ω
2
R
Work & Energy
W
F
= FDcos(θ)
K =
1
/
2
mv
2
= p
2
/2m
W
NET
= ΔK = K
f
– K
i
E = K + U
W
nc
=ΔE = E
f
– E
i
= (K
f
+ U
f
) – (K
i
+ U
i
)
U
grav
= mgy
Impulse & Momentum
Impulse
I
=
F
ave
Δt = Δ
p
F
ave
Δt = Δ
p
= m
v
f
– m
v
i
F
ave
= Δ
p
/Δt
Σ
F
ext
Δt = Δ
P
total
=
P
total,final
– P
total,initial
(momentum conserved if Σ
F
ext
= 0)
x
cm
= (m
1
x
1
+ m
2
x
2
)/(m
1
+ m
2
)
Rotational Kinematics
ω = ω
0
+ αt
θ= θ
0
+ ω
0
t +
1
/
2
αt
2
ω
2
= ω
0
2
+ 2αΔθ
Δx
T
= RΔθ v
T
= Rω
a
T
= Rα
(rolling without slipping: Δx = RΔθ
v = Rω
a = Rα)
1 revolution = 2π radians
Rotational Statics & Dynamics
τ= Fr sin θ
Στ = 0 and ΣF=0 (static equilibrium)
Στ = Iα
W = τθ (work done by a torque)
L
= I
ω
Σ
τ
ext
Δt = Δ
L
(angular momentum conserved if Δ
τ
ext
= 0)
K
rot
=
1
/
2
Iω
2
= L
2
/2I
K
total
= K
trans
+ K
rot
=
1
/
2
mv
2
+
1
/
2
Iω
2
Fluids
P = F/A
,
P(d) = P(0) + ρgd change in pressure with depth d
ρ = M/V (density)
Buoyant force F
B
= ρgV
dis
= weight of displaced fluid
Flow rate Q = v
1
A
1
= v
2
A
2
continuity equation
(area of circle A = πr
2
)
P
1
+
1
/
2
ρv
1
2
+ ρgy
1
= P
2
+
1
/
2
ρv
2
2
+ ρgy
2
Bernoulli equation
ρ
water
= 1000 kg/m
3
1m
3
= 1000 liters
1 atm = 1.01 x 10
5
Pa
1 Pa = 1 N/m
2
Moments of Inertia (I)
I = Σmr
2
(for a collection of point
particles)
I =
1
/
2
MR
2
(solid disk or cylinder)
I =
2
/
5
MR
2
(solid ball)
I =
2
/
3
MR
2
(hollow sphere)
I = MR
2
(hoop or hollow cylinder)
I =
1
/
12
ML
2
(uniform rod about center)
Ace your assessments! Get Better Grades
Browse thousands of Study Materials & Solutions from your Favorite Schools
University of Illinois at...
University_of_Illinois_at_UrbanaChampaign
School:
Mechanics_and_Heat
Course:
Introducing Study Plan
Using AI Tools to Help you understand and remember your course concepts better and faster than any other resource.
Find the best videos to learn every concept in that course from Youtube and Tiktok without searching.
Save All Relavent Videos & Materials and access anytime and anywhere
Prepare Smart and Guarantee better grades
Students also viewed documents
lab 18.docx
lab_18.docx
Course
Course
3
Module5QuizSTA2023.d...
Module5QuizSTA2023.docx.docx
Course
Course
10
Week 7 Test Math302....
Week_7_Test_Math302.docx.docx
Course
Course
30
Chapter 1 Assigment ...
Chapter_1_Assigment_Questions.docx.docx
Course
Course
5
Week 4 tests.docx.do...
Week_4_tests.docx.docx
Course
Course
23
Week 6 tests.docx.do...
Week_6_tests.docx.docx
Course
Course
106