Gwen's position is a function of his velocity and time
Gwen's position at 45 seconds is 63.9 feet
How to determine Gwen's position at 45 seconds?The function is given as:
v(t) = 250sin(t^2/120)/(t + 6)
When t = 45, we have:
v(45) = 250sin(45^2/120)/(45 + 6)
Evaluate the sum, the exponent and the quotient
v(45) = 250sin(16.875)/(51)
Evaluate the sine ratio
v(45) = 250 * 0.2903/51
Evaluate the product and quotient
v(45) = 1.42
The position is then calculated as:
S(45) = v(45) * 45
This gives
S(45) = 1.42 * 45
Evaluate the product
S(45) = 63.9
Hence, Gwen's position at 45 seconds is 63.9 feet
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The displacement is the shortest between any two given points. The displacement of Gwen at the time period of 45 seconds is 63.9 feet.
What is displacement?The displacement is the shortest between any two given points. It is the product of velocity and time.
Given that the function of the velocity is [tex]v(t)=\dfrac{250\sin\left(\frac{t^{2}}{120}\right)}{\left(t+6\right)}[/tex]. Therefore, substitute the value of t as 45, to know the velocity of Gwen at 45 seconds,
[tex]v(t)=\dfrac{250\sin\left(\frac{t^{2}}{120}\right)}{\left(t+6\right)}[/tex]
[tex]v(45)=\dfrac{250\sin\left(\frac{45^{2}}{120}\right)}{\left(45+6\right)}\\\\v(45) = 1.42[/tex]
Since displacement is the product of velocity and time, therefore, the displacement is equal to,
[tex]s = v \times t\\\\s = 1.42 \times 45\\\\s = 63.9\rm \ feet[/tex]
Hence, the displacement of Gwen at the time period of 45 seconds is 63.9 feet.
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In the winter, monarch butterflies travel from the United States to Mexico, where the weather is warmer. They return to the United States in the spring.
-----------------------------------------------------------------------------
Which behavior does this scenario describe?
o Conditioning
o Hibernating
o Imprinting
o Migrating
Answer: "Migrating", You're welcome
5. A mass attached to a spring oscillates and completes 50 full cycles in 30 s. What is the time period and frequency of this system?
Please show all of your work.
frequency:
⇒ oscillation / time taken
⇒ 50 / 30
⇒ 5 / 3
⇒ 1.667
≈ 1.7 Hz
period:
⇒ 1 / frequency
⇒ 1 / 1.7 ( when taken frequency as 5/3, period is 0.6 s )
⇒ 0.6 seconds
Frequency:-
[tex]\\ \rm\rightarrowtail \nu=\dfrac{50}{30}=\dfrac{5}{3}=1.67Hz[/tex]
Time period::
[tex]\\ \rm\rightarrowtail \dfrac{1}{\nu}[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{1}{1.67}[/tex]
[tex]\\ \rm\rightarrowtail 0.7s[/tex]
Franklin is loading a truck at work and his truck has a ramp that helps him move the boxes up. the incline of the ramp is 9 feet long and the top of the ramp is 3 feet off of the ground. what is the mechanical advantage of the incline franklin is using?
Answer:
Explanation:
Formula
MA = length of ramp / height
Givens
ramp length = 9 feet
height = 3 feet
Solution
MA = 9 / 3
MA = 3
Answer Mechanical advantage = 3
What phase of the moon would someone
on Earth see when the moon is at
Positions A through F?
First quarter is the phase of the moon would someone on Earth will see when the moon is at Positions A through F.
What is First Quarter?This is the phase which occurs when the moon is 90 degrees away from the sun in the sky and is half-illuminated from our point of view.
When looking it at the moon from point F it's half-illuminated which depicts the First quarter moon phase.
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Hello people~
help me with this question ^^
An electroscope is a device which is used to find if an object is
(a) charged
(b) magnetic
(c) free of cracks
(d) hot
Answer:
Charged
Explanation:
Look at a example below
You took a pen Rubbed it on your hair fastly for 2 mins If you took that rubbed part towards paper ,both will be attracted and joined for some while.Alika finds a certain kind of butterfly near her house. She reads that ultraviolet light is absorbed by the butterfly’s wings, red light is transmitted through the butterfly’s wings, and green light is reflected off the butterfly’s wings. Alika’s friend Claire tells her that if you shine light on the butterfly, its wings will glow.
Can light cause the butterfly’s wings to glow? Why or why not? Does it matter what type of light Alika shines on the butterfly?
Answer:
No the butterflies wings won't glow.
Explanation:
Butterflies have wings that have different color of attractiveness. Butterflies are however attracted to light but can't absorb the light.
what is the frequency of a light wave that has a wavelength of 0.039 m?
Answer:
Convert your wavelength into meters. Divide the speed of light, ~300,000,000 m/s, by the wavelength in m. This gives you the wave's frequency
Explanation:
The inner planets are different from the outer planets mainly because they are:.
Answer:
The inner planets are closer to the Sun and are smaller and rockier. The outer planets are further away, larger and made up mostly of gas. The inner planets (in order of distance from the sun, closest to furthest) are Mercury, Venus , Earth and Mars.
Explanation:
how do the properties of waves correspond with observations of waves?
Answer:
no sabo por q no mi entender
When a dielectric slab is inserted between the plates of one of the two identical capacitors
Answer:(A-P,S;B-P,S;C-Q,S;D-P,S)
Solution
(A)→P,S,(B)→P,S,(C)→Q,S,(D)→P,S.
Explanation:
At an altitude of 6,500 feet MSL, the current altimeter setting is 30. 42" Hg. The pressure altitude would be approximately
At an altitude of 6,500 feet MSL and with the current altimeter setting is 30. 42" Hg. the pressure altitude is mathematically given as
PA=6500ft
What is the pressure altitude?Generally, the equation for the Pressure altitude is mathematically given as
PA = ( 29.92 - AltSet ) * 1000 + FieldElev.
Therefore
PA= (29,92 - 30.42) * 1000 + 6,500
PA=6000ft
In conclusion, pressure altitude
PA=6500ft
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Reagan rides on a playground roundabout with a radius of 2. 5 feet. To the nearest foot, how far does reagan travel over an angle of 4π3radians? ______ ft
Answer:
S = θ R where S is the arc length and θ the arc length in radians
S = 2.5 ft * 4 π^3 rad = 2.5 * 124 = 310 ft (1 radian = 2.5 ft)
Assuming 4π3 means 4π^3
The Reagan travel over an angle of 4π/3radians is 10.47 or 10 feet if the Reagan rides on a playground roundabout with a radius of 2. 5 feet.
What is a circle?It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).
We have Reagan rides on a playground roundabout with a radius of 2.5 feet.
We know the relation between arc length and radius of the circle:
S = R∅
Here R = 2.5 feet, and central angle ∅ = 4π/3
[tex]\rm S = 2.5\times \frac{4\pi}{3}[/tex]
S = 10.47 feet ≈ 10 feet
Thus, the Reagan travel over an angle of 4π/3radians is 10.47 or 10 feet if the Reagan rides on a playground roundabout with a radius of 2. 5 feet.
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Planets A and B have the same mass, but planet A is half the size of planet B.
Which statement correctly explains the weight you would experience on each
planet?
A. You would weigh the same on both planets because the masses
of the planets are the same.
B. You would weigh less on planet A because the distance between
you and the planet's center of gravity would be smaller.
C. You would weigh the same on both planets because your mass
would be the same on both.
O D. You would weigh more on planet A because the distance between
you and the planet's center of gravity would be smaller.
Answer:
the correct one is A hope it helps
Why would the force of gravity change between the earth and sun when the mass of the earth increased
Following a lecture on transverse and longitudinal waves, four students make venn diagrams to characterize these waves. which venn diagram is correct? a venn diagram with two intersecting circles. the circle on the left is labeled transverse waves with entries light, can travel through a vacuum, vibrating string, created by a disturbance and medium motion is perpendicular. the circle on the right is labeled longitudinal waves with entries medium motion is parallel, has regions of high and low density, sound and travel faster in a denser medium. the overlapping region has entries has speed and travels through solids. a venn diagram with two intersecting circles. the circle on the left is labeled transverse waves with entries light, can travel through a vacuum, vibrating string and medium motion is perpendicular. the circle on the right is labeled longitudinal waves with entries medium motion is parallel, has regions of high and low density, sound and travel faster in a denser medium. the overlapping region has entries, created by a disturbance, has speed and travels through solids. a venn diagram with two intersecting circles. the circle on the left is labeled transverse waves with entries light, all parts of the electromagnetic spectrum, vibrating string, medium motion is perpendicular. the circle on the right is labeled longitudinal waves with entries medium motion is parallel, has regions of high and low density, sound and can travel through a vacuum. the overlapping region has entries, created by a disturbance, has speed and travels through solids. a venn diagram with two intersecting circles. the circle on the left is labeled transverse waves with entries light, can travel through a vacuum, vibrating string and medium motion is perpendicular. the circle on the right is labeled longitudinal waves with entries medium motion is parallel, has regions of high and low density, all parts of the electromagnetic spectrum and travel faster in a denser medium. the overlapping region has entries, created by a disturban
Venn diagram B is correct. A Venn diagram is a type of graph that uses circles to depict connections between objects or fixed groups of entities.
What Is a Venn Diagram and how does It Work?A Venn diagram is a diagram that uses circles to depict relationships between objects or finite groups of objects. Circles that overlap share characteristics, whereas circles that do not overlap do not.
A Venn diagram with two intersecting circles. the circle on the left is labeled transverse waves with entries light, can travel through a vacuum, vibrating string and medium motion is perpendicular.
The circle on the right is labeled longitudinal waves with entries medium motion is parallel, has regions of high and low density, sound and travel faster in a denser medium.
The overlapping region has entries, created by a disturbance, has speed, and travels through solids.
Hence Venn diagram B is correct
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A solid cylindrical disk has a radius of 0.15 m. It is mounted to an axle that is perpendicular to the circular end of the disk at its center. When a 50-N force is applied tangentially to the disk, perpendicular to the radius, the disk acquires an angular acceleration of 110 rad/s2. What is the mass of the disk?
For A solid cylindrical disk has a radius of 0.15 m, The mass of the disk is mathematically given as
M=6.06kg
What is the mass of the disk?Generally, the equation for the Torque is mathematically given as
t=Ia
Therefore
FR=Ia
50*0.15=M((15^2)/2*10)
M=100/110*15
M=6.06kg
In conclusion, the mass of the disk
M=6.06kg
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You are riding your bike downtown at a speed of 15 m/s and you see
a red light ahead. You gently brake over a distance of 50 m and come
to a complete stop. What is your acceleration during this time?
The acceleration of the rider initially going at a speed of 15m/s but comes to a stop at 50m is 2.25m/s².
How to calculate acceleration?The acceleration of a moving body can be calculated by using the following formula:
v² = u² + 2as
Where;
v = final speed u = initial speeda = accelerations = distance15² = 0² + 2×a×50
225 = 0 + 100a
a = 225/100
a = 2.25m/s²
Therefore, the acceleration of the rider initially going at a speed of 15m/s but comes to a stop at 50m is 2.25m/s².
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What is the average angular speed of the grindstone 10 rad/s
Answer:
avg w= (delta theta)/delta T = (10 rad/s - 8 rad/s) / (4 s-0) = .5 rad/s Vt= r * avg w = 4m * .5 rad/s = 2 rad/s
A bottle of soda always has a space between the cape and the top of the liquid. Explain
Answer:
All soft drinks contain water. When soft drink bottles are chilled in sub-zero temperatures, the water on account of its anomalous expansion expands. Thus, to provide space for expanding water, soft drink bottles are not completely filled as otherwise they will burst.
Explanation:
Answer:
Soft drink bottles are filled leaving some space between the lid/cap and the liquid level.
Explanation:
The reason is that the soft drinks are cooled below room temperature. Sometimes they are kept in the hot Sun and weather. They are subject to a big temperature variation. Also, there are gases like CO2 mixed in the drink. So the gases come out of the liquid and expand due to heat. That creates high pressure.
Water expands when it is cooled to 4 deg. C. But the bottle (glass) contracts when it is cooled. So if there is no air gap, then volume of water (cool drink) will become more than the inside volume of the bottle. Then the bottle will break due to pressure from water expansion around 8 deg. to 4 deg.C.
When a bottle is opened, due to pressure difference, and temperature difference, the gases come out of drink in the form of bubbles. So cold drink overflows out.
Also, the soft drink bottles are capped tightly. When an opener is used to open it using some force upwards, the pulling force also moves the soft drink bottle upwards. So just after the lid comes off, the top part of the drink comes out due to the pull. So some drink spills on people who open or, it falls outside.
In order to prevent these problems, some gap is left open between the surface of the soft drink and the top of the bottle.
What are the seasonal changes in the weasel in florida and the weasel in wyoming
Answer:
The differences between the Florida's weasel and in Wyoming's is that I can see that in Wyoming it has a lot of snow so Wyoming's weasel fur is more thicker than Florida's weasel.
Explanation:
Overmore, in Florida's weasel the weasel's fur is much more less then Wyoming's weasel's fur. Subsequently, their fur color is very different. In Wyoming's weasel fur, it's white fur help them blend in the snow. In Florida's weasel fur, it's brown and help blend in the grass(soil).
Weasels are small animals with long tail. Their diet will change in each seasons and will causes consecutive changes in body weight also.
What is seasonal change?The changes occurs in a living body or in a material with respect to different seasons is called seasonal changes.Weasels have coats that change from light brown to white in the winter. They are also known as ermines or short-tailed weasels.
In both the spring and the fall, the hue of their bodies changes, starting at their belly and moving outward. Long-tailed weasels and other species may also turn at least partially white.
The hue shift is caused by daylight duration rather than temperature. Weasels may therefore appear dazzling white in the winter against a brown environment before snow begins to fall. This makes them easy prey for larger predators like foxes, martens, and badgers during milder winters.
These little creatures eat a lot. Winter weasels forage often and consume roughly 40% of their body weight each day. Winter weasels have coats that change from light brown to white in the winter.
These pests, which can weigh as little as two ounces, are vicious and may attack prey that is larger than themselves. Weasels have excellent senses and are highly nimble. Because of this, they are difficult to catch and remove, both for humans and for predators.
Weasels are a sign of a healthy population of rodents or other prey on a property in the winter. The pests frequently reserve a portion of their meals for later.
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When an object standing on the floor is tipped, the height of its center of gravity (cg) may or may not change. Classify each case as stable, unstable, or neutral
The three types of equilibrium in an object are; stable, unstable, or neutral equilibrium.
What is equilibrium?The term equilibrium refers to a situation in which all the forces acting on an object are balanced such that the object does not move. The question is incomplete as the images are missing.
There are three types of equilibrium:
Stable equilibrium: In a stable equilibrium, the object returns to rest in its original place when displlaced.Unstable equilibrium: In this type of equilibrium, the body moves further away from its original position when displaced.Neutral equilibrium: In this type of equilibrium, the object comes to rest in a new position when displaced.Learn more equilibrium of forces: https://brainly.com/question/12262457
When an object standing on the floor is tipped, the height of its center of gravity (cg) for each case as stable, unstable, or neutral may increase, decreased and remain same respectively.
What is the equilibrium state of a standing object?Equilibrium is the location of the body, in which the body be static or in motion and does not change it with respect to time.
The equilibrium of an object can be classified in the 3 following types.
Stable Equilibrium- Stable equilibrium is the condition, in which the object gains its position back after displacing it.Unstable Equilibrium-Unstable equilibrium is the condition, in which the object does not gain its position back after displacing it.Neutral Equilibrium-Natural equilibrium is the condition, in which the object displace from its position and there is no force acting on it.When an object standing on the floor is tipped, the height of its center of gravity (cg) may or may not change.
The stability of object demands in the center of gravity. Lower the value of CG, results in more stable object. For each case,
Stable-Center of gravity is increased when tipped.Unstable-Center of gravity is decreased when tipped.Natural-Center of gravity is remained at same level when tipped.Thus, when an object standing on the floor is tipped, the height of its center of gravity (cg) for each case as stable, unstable, or neutral may increase, decreased and remain same respectively.
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If you were to build a pipe organ with open-tube pipes spanning the range from 25 hz to 19 khz. The speed of sound in air is 343 m/s
Building a pipe organ with open-tube pipes spanning the range from 25 hz to 19 khz will require the length of the shortest pipe to be 0.018m
What is Length?This is defined as the measurement or extent of a substance from end to end. The formula is shown below:
L = v/f where v is speed , f is frequency
f1 = 25hz , f2 = 19khz
The length for both sides is seen below:
l1 = 343/25 = 13.72m
l2 = 343/19000 = 0.018m.
The length of the shortest pipe is therefore 0.018m.
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The frequency of a repeated event is the number of occurrences per unit of time. The length of the shortest pipe is 0.018 m.
What is the frequency?The frequency of a repeated event is the number of occurrences per unit of time. It is also known as temporal frequency to distinguish it from spatial frequency, and ordinary frequency to distinguish it from angular frequency.
The formula of the length is given by the formula,
[tex]L=\dfrac vf[/tex]
where v is the velocity of the substance and f is the frequency.
Given that the speed of the sound in air is 343 m/sec, while the frequency is tanging from 25Hz to 19 kHz.
Therefore, the length of the pipe will be,
[tex]L=\dfrac vf\\\\L_1=\dfrac{343}{25} = 13.72\rm\ m[/tex]
[tex]L_2=\dfrac{343}{19 \times 1000} = 0.018\rm\ m[/tex]
Hence, the length of the shortest pipe is 0.018 m.
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The work done in moving a block across a rough surface and the heat energy gained by the block can both be measured in ...
The work done in moving a block across a rough surface and the heat energy gained by the block can both be measured in Joules.
What are Joules?Joules is a unit of measurement used in physics that indicates the force exerted on a particular object.
A Joule is a work when a force that equals one (1) newton moves an object one (1) meter in a given direction.
Joules is the most widely extended unit of force and energy in physics and related disciplines.
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Physics Word Problem
An archer shoots an arrow at a 75 m distant target; the bull’s-eye of the target is at same height as the release height of the arrow. If d = 75 m and v = 37 m/s. At what angle must the arrow be released to hit the bull’s-eye if its initial speed is 37m/s?
Answer:
15.6 degrees
Explanation:
15. A 0.500-kg mass suspended from a spring oscillates with a period of 1.50 s. How much mass must be added to the object to change the period to 2.00 s?
The answer is 0.389 kg but please show your work.
Let's look at relationship
[tex]\\ \rm\rightarrowtail T=2\pi\sqrt{\dfrac{m}{k}}[/tex]
[tex]\\ \rm\rightarrowtail T\propto \sqrt{m}[/tex]
Hence
[tex]\\ \rm\rightarrowtail \dfrac{T_1}{T_2}=\sqrt{\dfrac{m1}{m2}}[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{1.5}{2}=\sqrt{\dfrac{0.5}{m2}}[/tex]
[tex]\\ \rm\rightarrowtail 0.75^2=\dfrac{0.5}{m2}[/tex]
[tex]\\ \rm\rightarrowtail m_2=\dfrac{0.5}{0.75^2}[/tex]
[tex]\\ \rm\rightarrowtail m_2=0.889[/tex]
Hence
Mass needs to added =0.889-0.500=0.389kgAnswer
Mass needs to added =0.889-0.500=0.389kg
Explanation:
The electric field is measured for points at distances r from the center of a uniformly charged insulating sphere that has volume charge densi
For the electric field is measured for points at distances r,Electric field is mathematically given as
E=19.9*10^{-5}c/m^3
What is the Electric field?Generally, the equation for the electric field uniform charged is mathematically given as
[tex]E=\frac{lr}{3e0}[/tex]
Therefore
E=lr/3E0=3Ee0/r
Therefore
E=3*6*10^4*8.85*10^{-12}
E=19.9*10^{-5}c/m^3
In conclusion, E=19.9*10^{-5}c/m^3
E=19.9*10^{-5}c/m^3
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CQ
Complete question attached below
Given that the radius of the moon is roughly one-quarter that of the earth, find the mass of the moon in terms of the mass of the earth
The mass of the moon is six times lower in terms of the mass of the earth because of the its lower size and shape.
What is the mass of the moon and earth?The mass of the moon is 7.34767309 × 1022 kilograms while on the other hand, the mass of the earth is 5.97219 × 1024 kilograms. This difference is due to the lower radius of the moon as compared to earth.
So we can conclude that the mass of the moon is six times lower in terms of the mass of the earth because of the its lower size and shape.
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At a construction site, a crane lifts an object to a certain height in 12 seconds, and a second crane does the same work in 6 seconds. Compared to the power developed by the first crane, the power developed by the second crane is which of the following?
A. The same
B. One-half as much
C. Twice as much
D. Four times as much
option C
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What is the 3rd largest planet in the solar system?
Answer:
Uranus
Explanation:
Your welcome
A planet is a celestial body. The third-largest planet in the solar system is Uranus.
What is a planet?A celestial body is differentiated from the fixed stars by its apparent mobility (including the moon and sun), especially in relation to its claimed impact on people and events.
A planet is a celestial body. The third-largest planet in the solar system is Uranus.
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A photon with wavelength 11. 0 nm is absorbed when an electron in a three-dimensional cubical box makes a transition from the ground state to the second excited state
For a photon with wavelength 11. 0 nm, the side length LL of the box is mathematically given as
L=1.414*10^{-27}m
What is the side length LL of the box?Generally, the equation for the change in energy is mathematically given as
[tex]dE=\frac{hc}{\lambda}[/tex]
Therefore
[tex]\frac{hc}{\lambda}=\frac{6h^2}{8ml}\\\\L=\sqrt{6h\lambda}{8mc}\\\\L=\sqrt{\frac{6(6.626*10^{-34})*11.0*10^{-9}}{8(9.11*10^31)(3*10^8)}}[/tex]
L=1.414*10^{-27}m
In conclusion, the side length LL of the box is
L=1.414*10^{-27}m
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The side length of the box for a photon of wavelength 11. 0 nm will be [tex]\rm L = 1.414 \times 10^{-27}[/tex] m.
What is wavelength?The distance between two successive troughs or crests is known as the wavelength. The peak of the wave is the highest point, while the trough is the lowest.
The change in the energy of the photon is found as;
[tex]\rm dE = \frac{hc}{\lambda} \\\\ \frac{hc}{\lambda} =\frac{6h^2}{8ml} \\\\ L= \sqrt{\frac{6h\lambda}{8mc} } \\\\ L = \sqrt{\frac{6 \times 6.626 \times 10^{-34}\times 11 \times 10^{-9}}{8 \times 9.11 \times 10^{31} \times 3 \times10^8} } \\\\ L= 1.414 \times 10^{-27} \ m[/tex]
Hence the side length of the box for a photon of wavelength 11. 0 nm will be [tex]\rm L = 1.414 \times 10^{-27}[/tex] m.
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