measuring the changes in volume and surface area of worms. Two worms labeled A and B st the beginning of the study having the same initial volume and the same surface area. At the the study, both worms grew isometrically, but the relative surface area RSA of worm A is gre than that of worm B by a factor of 1.3. Take relative surface area to mean the ratio of surfac volume. Which of the two worms has the larger volume at the end of the study? Both worms have the same volume O Worm A Information provided is not enough to answer O Worm B

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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Question 18, 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
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 researcher is studying the absorption and consumption of oxygen through the skin of worms by
measuring the changes in volume and surface area of worms. Two worms labeled A and B start off at
the beginning of the study having the same initial volume and the same surface area. At the end of
the study, both worms grew isometrically, but the relative surface area RSA of worm A is greater
than that of worm B by a factor of 1.3. Take relative surface area to mean the ratio of surface area to
volume.
Which of the two worms has the larger volume at the end of the study?
O Both worms have the same volume
O Worm A
O Information provided is not enough to answer
O Worm B
Transcribed Image Text:A researcher is studying the absorption and consumption of oxygen through the skin of worms by measuring the changes in volume and surface area of worms. Two worms labeled A and B start off at the beginning of the study having the same initial volume and the same surface area. At the end of the study, both worms grew isometrically, but the relative surface area RSA of worm A is greater than that of worm B by a factor of 1.3. Take relative surface area to mean the ratio of surface area to volume. Which of the two worms has the larger volume at the end of the study? O Both worms have the same volume O Worm A O Information provided is not enough to answer O Worm B
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