A log-log graph of the area of glaciers and their volume is shown in the figure below. The linearized equation is shown on top of the graph. One glacier has a volume V and area A. If another glacier has an area of 0.538A, what is the volume of this other glacier? log10 V = -1.52 + 1.36log10 A 1000 100 10 0.1 0.01 0.001 0.01 0.1 10 100 1000 10000 log10 A (km²) O 1.86 O 0.430 0.538 O 2.32 log10 V (km³) 1,
A log-log graph of the area of glaciers and their volume is shown in the figure below. The linearized equation is shown on top of the graph. One glacier has a volume V and area A. If another glacier has an area of 0.538A, what is the volume of this other glacier? log10 V = -1.52 + 1.36log10 A 1000 100 10 0.1 0.01 0.001 0.01 0.1 10 100 1000 10000 log10 A (km²) O 1.86 O 0.430 0.538 O 2.32 log10 V (km³) 1,
College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Question 4, Physics - equation sheet attached
![Physics 114 Equation Sheet
Constants and Conversions
Kinematics Continued
g = 9.80 m/s
Free-fall acceleration
Δν
Instantaneous
ainst. = lim
At-o At
Acceleration
1N = 1 kg m/s?
Newton
Uniform motion
(v) = (v); = constant
Position in uniform
X = x + (v)At
Mathematics, Scaling and Vectors
b = a* + loga (b) = x
motion
Logarithm
Constant
(v); = (v,); + azAt
acceleration:
1
log(ab) = log(a) + log (b)
x, = x, + (v,),At +a, (at)?
log Ax" = n log x + log A
(v,); = (v,)} + 2a,Ax
Volume of a sphere
V =
Surface area of a
A = 4ar?
Forces
sphere
Newton's second law
Fnet = EF = mã
%3D
Volume of a cylinder
V = arl
Newton's second law
Fnetx = EF = ma,
%3D
Surface area of a
A = 2ar? + 2rl
Component form
Fnety = ER, = may
cylinder
Mass density
p = m/V
Newton's Third Law
FA en =-
ton A
A, = A cos e (rel. to x-axis)
Weight
w = mg
x -component of a
vector Å
Apparent weight
Wapp = magnitude of supporting forces
y -component of a
Ay = A sin 8 (rel to x-axis)
vector Å
Kinetic friction
fk = Han
Magnitude of vector Ả
Static friction
A = JA + A,
Reynolds number
Re = pvl/n
Direction of A relative
8 = tan-(Ay/A,)
1
Drag (high Reynolds
number)
=CopAv?
to x-axis
Addition of two vectors If = Å + B, then
C, = A, + B,
D = 6nyrv
Drag (low Reynolds
number)
Cy = Ay + By
Circular Motion
Kinematics
Centripetal acceleration
a =
Displacement
Ax = x - X
Average Velocity
Ax
Frequency
1
Varg
T
2ar
At
Ax
Vinst. = lim
Instantaneous Velocity
At+0 At
Av
Average Acceleration
davg
Δε](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fea74ad9f-1200-44ca-9ede-5ca983ad5349%2F3db40238-108c-4cd3-ae27-a7698be32188%2Fe106vys_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Physics 114 Equation Sheet
Constants and Conversions
Kinematics Continued
g = 9.80 m/s
Free-fall acceleration
Δν
Instantaneous
ainst. = lim
At-o At
Acceleration
1N = 1 kg m/s?
Newton
Uniform motion
(v) = (v); = constant
Position in uniform
X = x + (v)At
Mathematics, Scaling and Vectors
b = a* + loga (b) = x
motion
Logarithm
Constant
(v); = (v,); + azAt
acceleration:
1
log(ab) = log(a) + log (b)
x, = x, + (v,),At +a, (at)?
log Ax" = n log x + log A
(v,); = (v,)} + 2a,Ax
Volume of a sphere
V =
Surface area of a
A = 4ar?
Forces
sphere
Newton's second law
Fnet = EF = mã
%3D
Volume of a cylinder
V = arl
Newton's second law
Fnetx = EF = ma,
%3D
Surface area of a
A = 2ar? + 2rl
Component form
Fnety = ER, = may
cylinder
Mass density
p = m/V
Newton's Third Law
FA en =-
ton A
A, = A cos e (rel. to x-axis)
Weight
w = mg
x -component of a
vector Å
Apparent weight
Wapp = magnitude of supporting forces
y -component of a
Ay = A sin 8 (rel to x-axis)
vector Å
Kinetic friction
fk = Han
Magnitude of vector Ả
Static friction
A = JA + A,
Reynolds number
Re = pvl/n
Direction of A relative
8 = tan-(Ay/A,)
1
Drag (high Reynolds
number)
=CopAv?
to x-axis
Addition of two vectors If = Å + B, then
C, = A, + B,
D = 6nyrv
Drag (low Reynolds
number)
Cy = Ay + By
Circular Motion
Kinematics
Centripetal acceleration
a =
Displacement
Ax = x - X
Average Velocity
Ax
Frequency
1
Varg
T
2ar
At
Ax
Vinst. = lim
Instantaneous Velocity
At+0 At
Av
Average Acceleration
davg
Δε
![A log-log graph of the area of glaciers and their volume is shown in the figure below. The
linearized equation is shown on top of the graph.
One glacier has a volume V and area A. If another glacier has an area of 0.538A, what is the
volume of this other glacier?
log10 V = -1.52 + 1.36log10 A
1000
100
10
0.1
0.01
0.001
0.01
0.1
10
100
1000
10000
log10 A (km²)
O 1.86
O 0.430
0.538
O 2.32
O 0.289
log10 V (km³)
1,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fea74ad9f-1200-44ca-9ede-5ca983ad5349%2F3db40238-108c-4cd3-ae27-a7698be32188%2Fywdqmx_processed.png&w=3840&q=75)
Transcribed Image Text:A log-log graph of the area of glaciers and their volume is shown in the figure below. The
linearized equation is shown on top of the graph.
One glacier has a volume V and area A. If another glacier has an area of 0.538A, what is the
volume of this other glacier?
log10 V = -1.52 + 1.36log10 A
1000
100
10
0.1
0.01
0.001
0.01
0.1
10
100
1000
10000
log10 A (km²)
O 1.86
O 0.430
0.538
O 2.32
O 0.289
log10 V (km³)
1,
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