Answer:
The work done will be 0.115 J.
Explanation:
Given that,
[tex]k=100\ N/m[/tex]
[tex]b=700\ N/m^2[/tex]
[tex]c=12000\ N/m^3[/tex]
A force along the x-axis with x-component,
[tex]F(x)=kx-bx^2+cx^3[/tex]
Suppose, How much work must be done to stretch this spring by 0.050 m from its unstretched length?
We need to calculate the work done
Using formula of work done
[tex]W(x)=\int{F(x)dx}[/tex]
Put the value into the formula
[tex]W(x)=\int{(kx-bx^2+cx^3)dx}[/tex]
[tex]W(x)=\dfrac{kx^2}{2}-\dfrac{bx^3}{3}+\dfrac{cx^4}{4}[/tex]
Put the value of k,b,c and x
[tex]W(0.050)=\dfrac{100\times(0.050)^2}{2}-\dfrac{700\times(0.050)^3}{3}+\dfrac{12000\times(0.050)^4}{4}[/tex]
[tex]W(0.050)=0.115\ J[/tex]
Hence, The work done will be 0.115 J.
The value of spring displacement is greater than zero. Therefore, spring is stretched.
Force in spring :
It is given as, [tex]F=kx[/tex]
Where k is constant and x is amount of displacement.
The force function is given that,
[tex]F(x)=kx-bx^{2}+cx^{3}[/tex]
Here given that, [tex]k=100N/m, b=700N/m^{2} , c=12000N/m^{3} .[/tex]
Substitute all values in above equation,
[tex]F(x)=100x-700x^{2} +12000x^{3}[/tex]
To check, the spring is stretched or it is compressed.
Substitute f(x) = 0
We get x is greater than zero.
Thus, The value of spring displacement is greater than zero. Therefore, spring is stretched.
Learn more about the spring force here:
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The drawing shows a 26.1-kg crate that is initially at rest. Note that the view is one looking down on the top of the crate. Two forces, and , are applied to the crate, and it begins to move. The coefficient of kinetic friction between the crate and the floor is k = 0.347. Determine the (a) magnitude and (b) direction (relative to the x axis) of the acceleration of the crate.
Answer:
(a). The magnitude of the acceleration of the crate is 1.44 m/s².
(b). The direction of the crate is 34.60°.
Explanation:
Given that,
Mass of crate = 26.1 kg
Coefficient of kinetic friction = 0.347
We need to calculate the resultant force
Using figure
[tex]F'=\sqrt{(F_{x}+F_{z})^2+F_{y}^2}[/tex]
Put the value into the formula
[tex]F'=\sqrt{(88\cos{55}+54)^2+(88\sin 54)^2}[/tex]
[tex]F'=126.4\ N[/tex]
(a). We need to calculate the acceleration of the crate
Using formula of sum of force
[tex]\sum{F}=F'-\mu N[/tex]
[tex]ma_{total}=F'-\mu mg[/tex]
[tex]a_{total}=\dfrac{F'}{m}-\mu g[/tex]
Put the value into thr formula
[tex]a_{total}=\dfrac{126.4}{26.1}-0.347\times9.8[/tex]
[tex]a_{total}=1.44\ m/s^2[/tex]
(b). We need to calculate the direction
Using formula of the direction
[tex]\theta=\tan^{-1}(\dfrac{F_{y}}{F_{x}+F_{z}})[/tex]
Put the value into the formula
[tex]\theta=\tan^{-1}(\dfrac{88\sin55}{88\cos55+54})[/tex]
[tex]\theta=34.60^{\circ}[/tex]
Hence, (a). The magnitude of the acceleration of the crate is 1.44 m/s².
The direction of the crate is 34.60°.
Gizmo seasons why do we have them answer key
Drag the tiles to the correct boxes to complete the pairs.
Match the organisms to the descriptions.
scorpion
starfish
octopus
bird
lacks colored blood
had a soft, unsegmented body
is a vertebrate
lacks antennae
The correct matching of the organisms to their descriptions is given below:
Starfish - lacks colored bloodBird - is a vertebrateOctopus - has a soft, unsegmented bodyScorpion - lacks antennaeWhat is an Organism?Any organic, living system that performs as an independent unit is referred to as an organism. Cells comprise all living things. Multicellular mammals, plants, and fungi are examples of multicellular creatures. Unicellular microorganisms include bacteria and archaea.
All kinds of creatures can have the capacity for procreation, growth and development, maintenance, and to some extent, stimulus-response. Multicellular organisms such as beetles, tetrapods, mushrooms, and vascular plants grow a variety of tissues and organs.
Read more about vertebrates here:
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Typically, people think of a lava flow when they think of volcanoes. However, some eruptions are mostly ash and steam released into the atmosphere. This type of volcanic eruption is blamed for causing what is referred to as a "Little Ice Age" starting in the 13th century. The ash and steam blocked the sun's rays causing extreme cold and agricultural difficulty which lead to massive decreases in populations.
Describe how the energy from the sun is vital to life. In your response, be sure to include:
1. The form(s) of energy that the sun provides to the Earth.
2. How energy from the sun is transformed on the Earth.
3. At least two ways humans depend on the sun's energy for survival.
Answer:
number 2
Explanation:
Which of the following statements is true?
Solar eclipses are safe to look at without special equipment.
The International Date Line runs through Greenwich, England.
New days begin at 180° longitude.
Earth's orbit is a perfect circle.
Answer:
New days begin at 180° longitude.
Explanation:
An object falls from the Transco Tower in Houston and takes 15 seconds to reach the ground. How tall is the building:
Answer: 1102.5 meters
Explanation:
Which of the following individuals would be best classified as being in identity diffusion?
A.
Pauline isn’t interested in politics because she’d like to enjoy being a kid longer.
B.
Richard has decided to become a Democrat after much soul searching.
C.
Maria has adopted her parents’ identification as Protestant without considering other options.
D.
Pierce is trying many different identities but hasn’t decided on one yet.
Answer: C
Explanation: after reading it over and over shes the most reasonable. But I could be wrong so be cautious.
According to the question, Maria would be best classified as being in identity diffusion. So, option (C) is correct answer.
What is identity diffusion?
People who are experiencing identity diffusion haven't chosen an ideological or occupational route for the future and aren't making any effort to do so. Identity diffusion occurs during adolescence, a time when individuals are attempting to define their identities, but it can also last into adulthood.
When a person isn't actively forming an identity or committing to one, identity diffusion happens.Many people go through a phase of identity diffusion in their early years of adolescence or in childhood, which they eventually grow out of. Long-term identity diffusion is yet conceivable.James Marcia created four "identity statuses" in the 1960s, and identity diffusion is one of them. These identity statuses are a continuation of Erik Erikson's research on the formation of teenage identities.In the question, Maria has adopted her parents’ identification as Protestant without considering other options. She haven't chosen an ideological or occupational route for the future and aren't making any effort to do so. So, Maria would be best classified as being in identity diffusion.
To learn more about identity diffusion, refer the link:
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What are the relationships between the different wave properties (frequency, wavelength, wave speed, period, amplitude)
Ex) As ___ increases, ___ increases/decreases/remains the same.
Answer:
As frequency (cycles per second) increases the wavelength decreases.
As frequency increases the period also decreases
If wave speed or velocity increases, so too does the frequency
Amplitude of a wave is totally independent of frequency, period etc. So it remains the same as frequency shifts. Like FM radio the amplitude remains the same as the frequency of the broadcast modulates.
Explanation:
F= 1/t Frequency is inversely proportional to time (wavelength)
Period is the time it takes for one wave cycle to complete Period is 1/f
++++++++++++++++++++++++++++++++++++
vw=λT Speed of propagation vw= wavelength x T time
vw=fλ Knowing frequency multiply times wavelength to get wave speed.
++++++++++++++++++++++++++++++++
Amplitude varies only as the energy applied varies. Like transmission power, in a 60 hz power feed the amplitude can be 120, 230, 460 volts (note these nominal amplitudes are RMS root mean squared or .707 of the peak of the waveform).
See link below, images are much easier to process, than plain text of course. Hope this helps.
Oops not allowed to post a link, it appears. so try the snippet of URL as attached.
Answer:
Im no expert buh its Wave length. :)
Explanation:
Im taking a test about it hope it helps.
A portable electric saw is used to cut through a wooden log. What happens to the pitch of the sound from the saw as the blade cuts farther into the log? Why?
based on the information given, which part of inverstigation 2 is most likely the independent variable
Answer:
The independent variable is the variable that is changing.
Explanation:
I gave you this because you did not give us the work for use to see.
someone help me with this please
Answer: are u single
Explanation:
The cat quickly hopped from the floor onto the couch.
is an example of what? position, motion, speed, velocity or acceleration
Answer: Motion
Explanation:
The upward force on a car that is falling off a cliff is what?
a. air resistance
b. momentum
c. inertia
d. terminal velocity
Answer:
A. air resistance
Explanation:
I think so
please type any energy transformation it will help a lot i would really appreciate it
prize: brainliest
Answer:
in electric lamp
Electric Energy to Heat and Light Energy
Explanation:
Answer:
Ex: an electric fan transforms electric energy to kinetic energy
Or
Chemical energy to heat and light energy
Explanation:
Hope this helps
5.Projectile motion is free fall with an initial horizontal velocity. True or false
Explanation:
One of the interesting things about projectile motion is that the horizontal motion is independent of the vertical motion. Recall that in freefall, an object continually experiences a downward acceleration of 9.80ms2 but has no horizontal acceleration.
A car traveling around a corner
A. position
B. speed
C. velocity
D. acceleration
THE ANSWER IS D THERE YOU GOO
An object is dropped from 20. meters above the moon. The acceleration due to gravity on the moon is 1.62 m/s^2
a. How long does it take for the object to impact the moon?
b. At what speed does it impact the moon?
Answer:
a. Approximately 3.21 seconds
b. Approximately 5.196 m/s
Explanation:
a. The height from which the object is dropped = 20 meters
The location of the occurrence = The moon
The acceleration due to gravity on the moon = 1.62 m/s²
The time it took the object to to impact the moon is given by the equation of free fall as follows;
h = 1/2·a·t²
Where;
h =The height from which the object is allowed to freely fall = 20 meters
a = The acceleration due to gravity on the moon = 1.62 m/s²
t = The time of motion of the object
Substituting the values, gives;
20 = 1/2 × 1.62 × t²
t² = 20/(1.2 × 1.62) ≈ 10.23 s²
t = √ 10.23 ≈ 3.21 s
The time in motion of the object before impact, t = 3.21 seconds
b. The final speed, v is given from the equation for speed under free fall, which is presented as follows;
v = u + a·t
Where
u = The initial vertical velocity = 0
Substituting the values gives;
v = 0 + 1.62 × 3.21 ≈ 5.196 m/s
The final speed, v with which the object impacts the moon ≈ 5.196 m/s
what does 1N equal? It happens to be one of the questions on my "Newton's Laws of Motion Exercises" paper.
The Earth’s ________________ on its ________ causes day and night.
Answer:
1. rotation. 2. axis
Explanation:
The Earths rotation on its axis causes day and night
Can someone help me please, thanks.
Answer:
rotation
Explanation:
Im pretty sure. Please heart and mark brainliest
Answer:
cycle
Explanation:
either rotation or cycle. I would think.
Remi travels 160 meters in 4 seconds. What was Remi's initial speed if her final velocity was 6.9 m/s?
Answer:
73.1 m/s
Explanation:
Given:
Δx = 160 m
v = 6.9 m/s
t = 4 s
Find: v₀
Δx = ½ (v + v₀) t
160 m = ½ (6.9 m/s + v₀) (4 s)
v₀ = 73.1 m/s
When converting from smaller to larger units the decimal point travels right *
Answer:
False, it travels left.
Explanation:
Hello.
In this case, we can answer this with an example. If we have 200 g and we want that value in a larger unit, for instance, kilogram, the following conversion is performed since 1 kg equals 1000 g:
[tex]200g*\frac{1kg}{1000kg}=0.200g[/tex]
Whereas we needed to move the decimal point from right to left, which means that it travels left, that is why the statement is false.
Best regards.
Dos masas de 8kg es tan unidas en el extremo de una varilla de aluminio de 400mm de longitud. La varilla está sostenida en su parte media hora en círculos y solo puede soportar una tensión máxima de 800 N ¿cuál es la frecuencia máxima de revolución
Answer:
The maximum frequency of revolution is 3.6 Hz.
Explanation:
Given that,
Mass = 8 kg
Distance = 400 mm
Tension = 800 N
We need to calculate the velocity
Using centripetal force
[tex]F=\dfrac{mv^2}{r}[/tex]
Where, F= tension
m = mass
v= velocity
r = radius of circle
Put the value into the formula
[tex]800=\dfrac{8\times v^2}{200\times10^{-3}}[/tex]
[tex]v^2=\sqrt{\dfrac{800\times200\times10^{-3}}{8}}[/tex]
[tex]v=4.47\ m/s[/tex]
We need to calculate the maximum frequency of revolution
Using formula of frequency
[tex]f=\dfrac{v}{2\pi r}[/tex]
Put the value into the formula
[tex]f=\dfrac{4.47}{2\pi\times200\times10^{-3}}[/tex]
[tex]f=3.6\ Hz[/tex]
Hence, The maximum frequency of revolution is 3.6 Hz.
what the difanshon of mass?
Answer:
Mass is a measure of the amount of matter in an object.
Explanation:
The North American Plate moves at 2.5 cm per year. How many mm does it move in 1 year? Millimeters per day?
A 5000 kg truck and a 1000 kg car are traveling at constant speeds when they collide. What is true about the forces and accelerations on each?
Force is the physical action that can give acceleration to a body upon which it is applied
The true statements about the forces and accelerations of each when they collide are;
The force acting on the truck is equals the reactive force of the car The acceleration of the car is five times the acceleration of the truckThe reasons why the above statements are true are given as follows:
Known:
Mass of the truck, m₁ = 5,000 kg
Mass of the car, m₂ = 1,000 kg
Velocity of the truck = [tex]v_t[/tex]
Velocity of the car = [tex]v_c[/tex]
According to Newton's third law of motion, action and reaction are equal and opposite
The force applied by the truck, F = The reactive force by the carForce, F = Mass, m × Acceleration, a
Let a₁ represent the acceleration of the truck and let a₂ represent the acceleration of the car, we have;
F = 5,000 × a₁ = 1,000 × a₂
[tex]a_2 = \dfrac{5,000 \ kg}{1,000 \ kg} \times a_1 = 5 \cdot a_1[/tex]
Therefore;
The acceleration (rate of change of velocity) of the car, a₂ due to the collision is five times the acceleration of the truck due to the collisionLearn more about the about force and acceleration here:
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Which quantity is a vector?
displacement
distance
A student stands on a spring scale. The scale reads that her weight is 600
Newtons. What is the student's approximate mass?
Answer:
61.2
Explanation:
F=g.m
<=> 600 = 9.8m
<=> m = 61.224489...
a child riding a bicycle at 15 meters per second accelerates at -3,0 meters per second? for 4.0 seconds. What is the child's speed A at the end of this 4.0-second interval? (with work, all steps))
Answer:
27m/sExplanation:
Given data
initital velocity u=15m/s
deceleration a=3m/s^2
time t= 4 seconds
final velocity v= ?
Applying the expression
v=u+at------1
substituting our data into the expression we have
v=15+3*4
v=15+12
v=27m/s
The velocity after 4 seconds is 27m/s
Why is a computer considered technology and not pure science
Answer:
They aren't considered a type of science, they are machine and they are used by produced electricity so they are a type of technology like our cell phones
Explanation: