The greater efficiency achieved with the curved blades of a Pelton wheel is due to the fact that the curved shape of the blades allows them to more effectively capture and use the energy of the water jet.
In a Pelton wheel, water is jetted through a nozzle onto the blades of a turbine, which rotates and converts the energy of the water jet into mechanical work. The shape of the blades plays a significant role in the efficiency of the turbine. Curved blades are more efficient than straight blades because they can capture and use more of the kinetic energy of the water jet.
The curved shape of the blades creates a more efficient flow of water over the surface of the blade, which allows the blade to extract more energy from the water jet. This results in a higher torque and power output from the turbine, leading to a more efficient conversion of water energy into mechanical work.
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Q5. A cyclist travels down a hill from rest at point X, without pedalling. He applies his brakes and the cycle stops at point Y.
Which energy changes have taken place between X and Y?
A) kinetic energy-> heat energy-> gravitational potential energy.
B) gravitational potential energy -> heat energy-> kinetic energy.
C) kinetic energy-> gravitational potential energy-> heat energy.
D) gravitational potential energy-> kinetic energy-> heat energy.
Answer:
B
Explanation:
At highest point gravitational energy is higher. While coming down without paddle it starts to gain heat energy and once it reaches the ground the kinetic energy is higher.
I hope my answer helps you.
1.The discontinuity effect is caused primarily by _________.Group of answer choicesnormative social influence and informational social influencefear and greedcoordination loss and reduced effortreduced evaluation apprehension and attitude polarizationdeindividuation and reduced evaluation apprehension2.Research has found that if you put people into two different groups, even if the basis is completely arbitrary (such as a coin flip), people will give preference (such as more money) to their own group over the other group. This is called ________ and it is one component of ________.Group of answer choicesthe illusory correlation; realistic group conflict theory.the minimal group paradigm; social identity theory.outgroup polarization; realistic group conflict theory.the illusory correlation; social identity theory.outgroup polarization; ethnocentrism3.
Jump, endless, detachable, endpoint, and mixed discontinuities can all be categorised. The existence of the limit is a characteristic of removable discontinuities.
Redefining the function is one way to "repair" removable discontinuities. Endpoint Discontinuities: There is only one one-sided limit. Mixed: None of the one-sided constraints exist, at least in part. Below is a graph of f (x), which demonstrates a function that discontinues when x = a. Mixed: None of the one-sided constraints exist, at least in part. Both one-sided limits are present in 1 Jump Discontinuities, although they have distinct values. Both one-sided limits are infinite, resulting in two infinite discontinuities. Three endpoint discontinuities: There is only one one-sided limit. 4 Mixed: None of the one-sided constraints exist, at least in part.
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2. A rifle can shoot a 4.00 g bullet at a speed of 998 m/s.
a. Find the kinetic energy of the bullet.
b. What work is done on the bullet if it starts from rest?
c. If the work is done over a distance of 0.75 m, what is the average
force on the bullet?
d. If the bullet comes to rest after penetrating 1.50 cm into a piece of
metal, what is the magnitude of the force bringing it to rest?
Posted Thu Oct 27, 2022 at 9:11 am
a) The kinetic energy of the bullet is 1.996 joule.
b) The total work done on it is 1.996 joule.
c) The average force on the bullet is 2.661 N.
d) The magnitude of the force bringing it to rest is 1.33 N.
What is speed?Speed is distance travelled by the object per unit time. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.
Given that: . A rifle can shoot a 4.00 g bullet at a speed of 998 m/s.
a) the kinetic energy of the bullet = (4.00/1000)×998/2 joule = 1.996 joule.
b) If it starts from rest, the total work done on it = kinetic energy of it = 1.996 joule.
c) If the work is done over a distance of 0.75 m, the average force on the bullet is = work done/distance = 1.996/0.75 N = 2.661 N.
d) If the bullet comes to rest after penetrating 1.50 cm into a piece of
metal, the magnitude of the force bringing it to rest is = 1.996/1.50 N = 1.33 N.
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Star Spectra Gizmo Unusual stars Observe the spectra of...
Star Spectra Gizmo Unusual stars
Observe the spectra of stars 5- 10. Identify the elements in each spectrum, and try to classify each star. If you notice unusual features in these spectra, describe them
Match : Write the number of the star or object that matches each description. Then use this information to help you identify the elements and reclassify the stars in the table above.
____ High atmospheric pressures in a star cause spectral lines to be broadened, or "smeared out." Giant stars , which have relatively low atmospheric pressures, are characterized by narrow spectral lines.
____ If a star is moving away from an observer, spectral lines are redshifted , or shifted toward the red end of the spectrum. An approaching star is blueshifted
____A star orbited by a large planet will move in a small circle. This will cause its spectrum to be slightly redshifted part of the time and blueshift ed at other times.
____Binary stars are pairs of stars that orbit one another. Their presence is indicated by two spectra that shift in opposite directions.
____ Cepheid variable stars change their brightness in a regular cycle. Gas pressure builds up, causing the stars to expand quickly. When the pressure is released, the star contracts, and the intensity of some spectral lines may decrease.
____A nebula is an enormous cloud of gas and dust in which stars are born. Most nebulae produce an emission spectrum which is characterized by bright lines of color against a dark background. The bright lines in an emission spectrum correspond to the dark lines in an absorption spectrum.
The number of star or object that matches each description are Giant stars, Redshifted and blueshifted spectral lines, Binary stars, Cepheid variable stars, and Nebulae and emission spectra.
Based on this information, you can classify the stars in the table as follows:
Star 5: Binary star (indicated by the presence of two spectra shifting in opposite directions)
Star 6: Cepheid variable star (indicated by the intensity of some spectral lines decreasing in a regular cycle)
Star 7: Giant star (indicated by narrow spectral lines due to low atmospheric pressures)
Star 8: Nebula (indicated by the presence of an emission spectrum with bright lines of color against a dark background)
Star 9: Star with redshifted spectral lines (indicated by the shift toward the red end of the spectrum)
Star 10: Star with blueshifted spectral lines (indicated by the shift toward the blue end of the spectrum)
Unusual features in these spectra could include the presence of two spectra shifting in opposite directions (indicating a binary star), the intensity of some spectral lines decreasing in a regular cycle (indicating a Cepheid variable star), or the presence of an emission spectrum with bright lines of color against a dark background (indicating a nebula).
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a block of mass m is launched by a spring of negligible mass along a horizontal surface of negligible friction. the spring constant of the spring is k. the spring is initially compressed a distance x0. the block is released from rest. some time after the block is released and travels in the direction shown in the figure, the spring compression is xf. which of the following mathematical calculations can a student use to determine the speed vf of the block at this new position?
The required speed Vf of the block at this new position 1/2KX²= 1/2KXf ² + 1/2Vf m².
What is kinetic energy?In physics, the kinetic energy of an object is the energy it has due to its motion. It is defined as the work required to accelerate a body of specified mass from rest to a specified velocity. After the body acquires this energy during acceleration, it retains this kinetic energy as long as the velocity does not change. The same work is done when the body slows down from its current speed to rest. Formally, kinetic energy is any term in the Lagrange of a system that includes the time derivative.
According to question:In this problem, neglecting friction force, there are two energies at work viz. Potential energy of spring and kinetic energy of spring mass system.
Initially the spring is compressed to length from the equilibrium position, therefore, initially,
Potential energy= 1/2KX²
(Because potential energy of spring= 1/2×(spring constant)×(compression)²)
At this instance system is at rest, therefore, kinetic energy=1/2mv²=0.
So total initial energy= K.E. + P.E. = 1/2KX² -(1)
Now in the 2nd instant, spring is compressed to length from equilibrium, therefore, P.E.=1/2K ²
and velocity= here,
Therefore, kinetic energy= 1/2 mv²
So total energy= 1/2K ² + 1/2 m² -(2)
From conversation of energy theorem, (1) and (2) should be equal(Neglecting friction, remember)
Therefore, the correct answer is: 1/2KX²= 1/2KXf ² + 1/2Vf m²
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A 20 kilogram ball rolls down a ramp and accelerates at a rate of 12 m/s per second. what is the net force acting on the ball?
The net force on 20 kilogram ball rolling down the ramp is 240 N.
Newton's law relates the acceleration of the ball and mass of ball. The relationship or formula between the two is as follows -
F = ma, where F is force, m is mass of ball and a is the acceleration of ball. Keep the values in formula to find the net force acting on the ball.
Force acting on the ball = 20 × 12
Performing multiplication on Right Hand Side of the equation
Force acting on the ball = 240 N
Thus, the force ont the ball is 240 N.
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Object A of mass 2 kg is gravitationally attracted to object B of mass 2 kg as the two objects float in space. Frictional forces are negligible. The gravitational forces of attraction between the two objects are shown in the table above. Which of these claims about the motion of the center of mass of the two objects system is true?
A) The center of mass will not accelerate
B) The center of mass will accelerate at 0.675 x 10 m/s?
C) The center of mass will accelerate at 5.4 x 10 m/s
D) The center of mass will accelerate at 2.7 x 10 m/s
The center of mass won't accelerate .Option (A)
Center of mass could be a position outlined relative to associate degree object or system of objects. it's the common position of all the components of the system, weighted consistent with their plenty.
from the question,
[tex]a_{com} = \frac{m_1a_1+m_2a_2}{m_1+m_2}[/tex]
the mass of the primary object is M1
the mass of the second object is M2
the acceleration of the primary object is a1
the acceleration of the second object is a2
acceleration (a) = force by mass
a = F/m
a1 = F/m1
where F is force ( F = [tex]2.7\times 10^{-10}[/tex])
a1 = [tex]\frac{2.7 \times 10^{-10}}{2 }[/tex]
a1 = [tex]1.35 \times 10^{-10} m/s^2[/tex] ( towards right )
a2 = [tex]\frac{2.7 \times 10^{-10}}{2 }[/tex]
a2 = [tex]1.35 \times 10^{-10} m/s^2[/tex] ( towards left)
so by this we can say this
a1 = [tex]+1.35 \times 10^{-10} m/s^2[/tex]
a2 = [tex]-1.35 \times 10^{-10} m/s^2[/tex]
to find the acceleration of center of mass
[tex]a_{com} = \frac{m_1a_1+m_2a_2}{m_1+m_2}[/tex]
[tex]a_{com} = \frac{2 \times 1.35 \times 10^{-10} -2\times1.35 \times 10^{-10} }{2+2}[/tex]
a = 0 / 4
a = 0
so by this we can say that
The center of mass will not accelerate
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if an object is placed beyond the the focal length of a converging lens (s>f) the image will be
if an object is placed beyond the focal length of a converging len, the image will be real smaller image or real and bigger image depending on the position.
We have four positions of object in front of a converging lens, accordingly there are three types of images formed.
1) When object is placed at infinity - image is real and tiny sized. This image is formed at the focus.
2) when object is placed beyond 2F - image is real and smaller than object.
3) When object is placed at 2F - image is real and equal in size to object.
4) when object is placed between 2F and F - image is real and bigger than object.
A converging lens is a convex lens which converges all the rays coming parallel to the principal axis at a point on the principal axis, called focus.
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You push your physics book 1.50 M alone a horizontal tabletop with a horizontal push of 240 N while the opposing force of friction is 0.600 N. How much work does each of the following forces do on the book (a) your 2.40 N push, (b) the friction force (c) the normal force from the table, and (d) gravity? (e) what is the network done on the book?
a)Work performed by 2.4 N force: W = 3.6 J
b)work performed by o.6 N frictional force: W = -0.9 J
c) The normal force's work on the book, W = 0 J
d) Gravitational work on the book, W = 0 J
e) Work completed, W = 2.7 J
A force is an influence that has the power to alter an object's motion. A mass-containing object's velocity can be altered by a force. An obvious way to define force is as a push or a pull. Two surfaces that come into contact and glide against one another produce frictional force. The part of a contact force that is perpendicular to the surface that an item encounters is known as the normal force.Gravity, which means "weight" in Latin, is a basic force that attracts all objects with mass or energy to one another.The explanation is shown in the accompanying picture.
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How much does CO2 contribute to global warming?
Co2 alone was responsible for roughly two-thirds of the overall heating effect of all life form greenhouse gases in 2021, according to observations even by NOAA Global Monitoring Lab.
What portion of climate change is CO2 responsible for?About 76 percent of all greenhouse gas emissions are made up of CO2.Nitrous oxide generates 6 percent of global emissions, while methane, which is mostly produced in agriculture, accounts for 16% of greenhouse gas emissions.
What is the primary cause of global warming?Fossil fuels, which include coal, oil, and gas, are by far the biggest cause of climate change, contributing more than 75% of all emissions of greenhouse gases and almost 90% of all emission of carbon dioxide.
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What are 3 qualities of realism?
During the height of the development of that form, realism's emphasis on objectivity, detachment, and accurate observation, as well as its clear but restrained criticism of social norms and environments, and the humane understanding that underlay its moral judgments, all played a significant role in the development of the modern novel.
What constitutes realism as a whole?Realistic thinking centered on portraying everyday reality in its truest form. Realistic thinking is concerned with the present moment, with actual events and their verifiable results. Realism aims for a one-to-one correspondence between the topic and the depiction. It also goes by the name mimesis.
Which of these three types of realism are they?Three schools of realist thought exist: human nature realism, state-centric realism, and system-centric realism.
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At the top of a roller coaster there is a cabin whose mass is 100 kg at a height of 40 m and with a speed of 5 m/s.
A. Calculate its mechanical energy.
(Please help!)
At the top of a roller coaster there is a cabin whose mass is 100 kg at a height of 40 m and with a speed of 5 m/s, its mechanical energy becomes: 40450 J
What is mechanical energy?Mechanical energy, also known as kinetic energy or potential energy, is the energy that an item possesses when it is in motion or the energy that an object stores due to its location. Renewable energy is also fueled by mechanical energy.
In order to efficiently create electricity or convert energy, many sources of renewable energy depend on mechanical energy.
A compressed spring, for instance, has mechanical energy in the form of potential energy, whereas a moving vehicle has mechanical energy in the form of kinetic energy.
Given that,
mass (m) = 100 kg
speed (v) = 5 m/s
height (h) = 40 m
Total mechanical energy of the roller coaster at point A
= Potential energy at point A + Kinetic energy at point A
= mgh + (1/2)mv²
= (100×9.8×40)+ [0.5×100×(5)²]
= 39200 + 1250
= 40450 J (Answer)
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a wooden block of mass 1200g, which moves on a horizontal surface, is subjected to a frictional force of 3 N. How much frictional force will act on the block if we put a 500g weight on it?
Answer:
Approximately [tex]4.25\; {\rm N}[/tex] as long as the wooden block continues moving.
Explanation:
Since the wooden block is moving, the friction on the block will be kinetic friction. This friction will be proportional to the magnitude of the normal force on the block. Specifically:
[tex]\begin{aligned}& (\text{kinetic friction}) \\ =\; & (\text{normal force})\, (\text{kinetic friction coefficient $\mu_{k}$}) \end{aligned}[/tex].
In this question, since the surface is horizontal, the only vertical forces on this block will be:
Weight of the block [tex](\text{weight}) = (\text{mass})\, g[/tex] where [tex]g[/tex] is the gravitational field strength, andNormal force on the block.These two forces will balance each other. Thus, [tex](\text{normal force}) = (\text{weight})[/tex].
[tex]\begin{aligned}(\text{normal force}) &= (\text{weight}) \\ &= (\text{mass})\, g\end{aligned}[/tex].
Substitute to obtain:
[tex]\begin{aligned}& (\text{kinetic friction}) \\ =\; & (\text{normal force})\, (\text{kinetic friction coefficient $\mu_{k}$}) \\ =\; & (\text{mass})\, (\text{kinetic friction coefficient $\mu_{k}$})\, g\end{aligned}[/tex].
In other words, the kinetic friction on the block is proportional to the mass. As long as the block continues moving, increasing mass from [tex]1200\; {\rm g}[/tex] to [tex](1200 + 500)\; {\rm g} = 1700\; {\rm g}[/tex] will increase friction to [tex](1700 / 1200) = (17/12)[/tex] the initial value, [tex](17/12)\, (3\; {\rm N}) \approx 4.25\; {\rm N}[/tex].
What is the relationship between wavelength and frequency Mcq?
The relationship between wavelength and frequency is λ=c/f. According to the equation, v = f λ, frequency and wavelength are inversely proportional to each other.
It is measured in the wave's direction. The frequency decreases as the wavelength lengthens In a similar vein, A wave's wavelength and frequency are inversely related. The quantity of wave crests passing a specific place in a second is known as frequency. In order for this to occur, the wavelengths must be short; at higher frequencies, more wave crests will pass the site each second. The relationship between frequency and wavelength is inversely proportional. Less frequency corresponds to a longer wavelength and vice versa. A wave's wavelength and frequency are inversely proportional. This translates to a small wavelength for waves with a high frequency.
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a 700 kg elevator starts from rest. it moves upward for 2.50 s with constant acceleration until it reaches its cruising speed, 1.75 m/s. (a) what is the average power of the elevator motor during this period? correct: your answer is correct. w (b) how does this power compare with the motor power when the elevator moves at its cruising speed? pcruising
(a) The average power of the elevator motor during this period will be 6431.25 W
(b) Power delivered by the motor during Constant speed motion. is greater than power delivered during moving at a Constant acceleration
Mass of elevator. m=700 kg
Initial velocity.u =0 m/ s
Final velocity v=1.75 m/ s
time [tex]\Delta t[/tex] =2.5 sec
(a) Average power of elevator motor the this during Period [tex]P{avg =\frac{w}{\Delta t}[/tex]
We know [tex]W=F\cdot d \cos \theta[/tex]
[tex]W_{motor }=F_{motor } d \cos 0^{\circ}[/tex]
W_{motor}=F_{motor } d
Net force = F_{net}=F_{motor}mg
As per Newton's Second Law ma =F_ {motor }-mg
Now applying the equation of motion: v=u+at
1.75=0+a*2.5 =>a=0.7 m/s^2
[tex]F_ {motor}=Ma+g=700(0.7+9.8) \\\Rightarrow F_ {motor}=7350 ~N\\d=ut+\frac{1}{2} \times a \times t}^2\\\Rightarrow d=0 t+\frac{1}{2} \times 0.7(2.5)^2\\d}=2.1875 m[/tex]
[tex]W_{motor}=F_{motor} \times d=7350 \times 2.1875=16078.125 J\\P_ {avg }=\frac{W_{motor }}\Delta t}=\frac{16078.125}{2.5}=6431.25 W[/tex]
B) if the elevator is Constant with moving up speed
F_{net}=F_{motor }-mg
But a =0
So, F_motor=mg = 700*9.8=6860 N
So, the value of the distance moved will be:
[tex]\triangle \mathrm{x}=\mathrm{vt}=1.75 \times 2.5=4.375 \mathrm{~m}\\\\\mathrm{~W}_{\text {motor }}=\mathrm{F}_{\text {motor }} \Delta \mathrm{x}=7350 \times 4.375=32156.25 \mathrm{~J}\\\\\mathrm{P}_{\text {avg }}=\frac{32156.25}{2.5}=12865.5\mathrm{w}\\\\[/tex]
[tex]\frac{\left(\mathrm{p}_{\text {avg }}\right) \mathrm{a}}{\left(\mathrm{p}a_{\text {avg }}\right) \mathrm{b}}=\frac{6431.25}{12865.5},\left(\mathrm{p}_{\text {avg }}\right) \mathrm{a}=0.499 \times\left(\mathrm{p}_{\mathrm{avg}}\right) \mathrm{b}[/tex]
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How do you know what the safe load is for your boat to carry?
The best way to know what the safe load is for the boat is to calculate the buoyancy of the boat.
According to the Archimedes' principle, when a body is some merged in a liquid partially or fully, an upward force is applied on the body by the fluid that is equal to the weight of the fluid displaced by the body.
This upward force is called buoyancy.
As long as the weight of the lord on the boat is equal to the buoyancy of the boat it can we considered a safe load limit for the boat.
The buoyancy of the boat can be calculated by using the volume of the boat the density of the liquid in which the boat is going to serve and the acceleration due to gravity.
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What happens during 1/2 life of a radioactive isotope?
A radioactive isotope's half-life is the length of time it takes for one half of it to decay.
What is the radioisotopes' half-life?The duration needed for a quantity of a radioisotope to decay by half is known as its radioactive half-life. If an isotope has a half-life of only a few hours or less, the majority of the radioactivity will dissipate within a few days.
How does half-life work?A radioactive element's half-life is the amount of time it takes for it to decay to half of its original value. It can be concluded from this that a source's activity has a half-life if it takes some time before it drops to half its starting value.
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Suppoe that the electric field part of an electromagnetic wave in vacuum i 5 E-3. 1 Co (18 5. 4x101)
(a) What i the direction of propagation?
(b) What i the wavelength ?
(c) What i the frequency?
(d) What i the amplitude of the magnetic field part of the wave?
(e) Write an expreion for the magnetic field part of the wave
The given question is incomplete, and hence, can not be answered. Still, adding some relevant information for your reference.
What are electromagnetic waves?
Electromagnetic waves, or EM waves, are waves produced by oscillations between electric and magnetic fields. In other words, EM waves consist of oscillating magnetic and electric fields.
Electromagnetic waves are produced when an electric field contacts a magnetic field. Therefore, they are called "electromagnetic waves". The electric and magnetic fields of electromagnetic waves are perpendicular (right angles) to each other. They are also perpendicular to the EM wave direction. The
EM wave propagates in vacuum with a constant velocity of 3.00 x 108 ms-1. They are not deflected by electric or magnetic fields. However, they can exhibit interference or diffraction. Electromagnetic waves penetrate everything, including air, solids, and vacuums. No medium is required to diffuse or move from one place to another.
The given question is incomplete, and hence, can not be answered. Still, adding some relevant information for your reference.
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Compared with the orbits of the short-period comets, the orbits of long-period comets
(a) tend to lie in the plane of the ecliptic
(b) look like short-period orbits, but are simply much larger
(c) are much less eccentric
(d) can come from all directions
Compared with the orbits of the short period comets, the orbits of long period comets can come from all directions.
Short period comets come from the kuiper belt. Comets of long period come from the ort cloud which is a cloud debris surrounding the sun at a distance of 1 light year.
Long period comets have orbital period more than 200 years. Their orbits are inclined in the ecliptic plane. They may be perturbed by a passing star. Their orbits are highly inclined because of spherical origin.
They can be seen in night sky with much brilliance. Their brilliance is because thy have not passed from inner solar system.
Short period comets have orbital period less than 200 years. Haily type comets are example of short period comets.
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What are 3 sources of carbon dioxide emissions?
These sources can be found primarily in three different contexts: industrial processes, natural gas processing, and fuel combustion activities.
Where do the majority of the carbon dioxide emissions come from?CO2, or carbon dioxideThe main source of CO2 is the burning of fossil fuels.Indirect human-induced effects on forestry as well as other land uses, such as deforestation, clearing land for agriculture, and soil deterioration, can indirectly release CO2.
What are the planet's two primary sources of carbon dioxide?There are two main sources of atmospheric carbon dioxide: natural processes and human activity.The majority of animals, who exhale in the form of a waste product, are natural sources of dioxide.
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What is required to start an object moving?
To start an object moving, a force must be applied to the object which must be greater than the forces that are acting to keep the object at rest.
The amount of force needed to start an object moving depends on the mass of the object, as well as the type and magnitude of the forces acting on it. For example, it may take more force to start a heavy object moving than a light object, and it may take more force to start an object moving on a rough or slippery surface than on a smooth or sticky surface.
To apply a force to an object, we can push or pull on it, use a lever or other mechanical advantage to amplify the force, or use an external force such as gravity or a motor to move the object. Once the object is moving, it will continue to move unless acted upon by another force.
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After the core of a massive star becomes a neutron star, the rest of the star’s material
a. Continues regular fusion and returns to the main sequence
b. Is vaporized by the incredible heat of the dying star and is ejected outward
c. Falls inward and gets compressed to incredible densities.
d. Makes a planetary nebula, which gently moves outward from the center
After the core of a massive star becomes a neutron star, the rest of the star’s material falls inward and gets compressed to incredible densities.
The correct option is C.
What is considered a massive star?Star which is larger than eight solar masses during its regular main sequence lifetime is considered a massive star.
Massive stars typically have a quick main sequence phase, a short red supergiant phase, and a spectacular death via a supernova explosion.
If the core of a massive star becomes a neutron star, the rest of the star’s material is known be be compressed to incredible densities.
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What device maps the ocean floor?
Scientists utilize the EM300 device to produce exact maps of the a seafloor.The EM300 can operate in water as shallow as 10 meters and as deep as 5000 meters.
How does the device that maps on ocean floor appear?Dive and Discover:Sonar is used in oceanographic research.Today, echo sounding is the primary method used by scientists for map the seafloor.
How is technology used to study the ocean floor?Today, sonar aids in the creation of bottom maps, buoys and water depth samplers are used to track the effects of sea level changes on water quality parameters, coring devices collect samples of sediment, and remotely operated vehicles (ROVs) enable everybody to effectively and safely discover any oceanic region.
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A student conducts three experiments to determine how certain quantities influence the centripetal force responsible for an object to spin in a horizontal circle. The student uses one end of a string to attach the object while the other end is connected to a force sensor that allows the student to change the tension on the string, as shown in the figure. The student records data from the three experiments in the table above. Which of the following experiments, if any, collected data that do not agree with the expression for the net centripetal force on the object?
A)The experiment in which mass was changed
B)The experiment in which the radius of the circular path was changed
C)The experiment in which the speed of the object was changed
D)All the data are expected.
Option C) The experiment in which the speed of the object was changed
is only statement that doesn't satisfy the given data as shown below:
The above statement can be verified using the calculation:
Formula for centripetal force(F) = [tex]\frac{mv^2}{r}[/tex]
where m is mass of object , v is speed of object and r is radius of the circular motion.
For option A) when only mass of object is changed and rest all are same.
so F = k*m where k = [tex]\frac{v^2}{r}[/tex] as both are constant
=> [tex]\frac{F_1}{F_2}[/tex] = 4.04/8.08 = 0.5
and [tex]\frac{m_1}{m_2}[/tex] = 0.1/0.2 =0.5
so [tex]\frac{F_1}{F_2} = \frac{m_1}{m_2}[/tex]
similary [tex]\frac{F_2}{F_3} = \frac{m_2}{m_3}[/tex] and hence data is correct for option A)
For option B) when only radius of object is changed and rest all are
same.
so F = k/r where k = [tex]m*v^2[/tex] as both are constant
=> [tex]\frac{F_1}{F_2}[/tex] = 4.04/8.08 = 0.5
and [tex]\frac{r_2}{r_1}[/tex] = 0.3/0.6 =0.5
so [tex]\frac{F_1}{F_2} = \frac{r_2}{r_1}[/tex]
so both are same , similary [tex]\frac{F_2}{F_3} = \frac{r_3}{r_2}[/tex] and hence data is correct for option B
For option C) when only speed of object is changed and rest all are
same.
so F = k*[tex]v^2[/tex] where k = [tex]\frac{m}{r}[/tex] as both are constant
=> [tex]\frac{F_1}{F_2}[/tex] = 4.04/9.09 = 0.44444
and [tex]\frac{v_1^2}{v_2^2}[/tex] = 4.08/9.181 =0.44439
so ,[tex]\frac{F_1}{F_2}[/tex] ≠ [tex]\frac{v_1^2}{v_2^2}[/tex]
and hence data is not correct for option C
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Complete question:
A student conducts three experiments to determine how certain quantities influence the centripetal force responsible for an object to spin in a horizontal circle. The student uses one end of a string to attach the object while the other end is connected to a force sensor that allows the student to change the tension on the string, as shown in the figure. The student records data from the three experiments in the table above. Which of the following experiments, if any, collected data that do not agree with the expression for the net centripetal force on the object?
A)The experiment in which mass was changed
B)The experiment in which the radius of the circular path was changed
C)The experiment in which the speed of the object was changed
D)All the data are expected.
According to newton's third law, what is the equal and opposite force to the downward force of gravity pulling on a man standing on the beach?.
According to newton's third law, what is the equal and opposite force to the downward force of gravity pulling on a man standing on the beach?
[tex]\fbox{The man pulling upward on earth}[/tex]
if you could see stars during the day, the drawing above shows what the sky would look like at noon on a given day. the sun is at the highest point that it will reach on this day and is near the stars of the constellation gemini. what is the name of the constellation that will be closest to the sun at sunset on this day?
The constellation that will be closest to the sun at sunset on this day is called Taurus.
Is there a constellation of the Sun?But have you ever questioned whether the Sun is a part of any of these constellations. The short answer is that the Sun officially has no constellation, according to both contemporary astronomy and old astrological tradition.
What constellations does the Sun travel through?After passing through each sign in turn—Scorpius the Scorpion, Ophiuchus the Serpent Charmer, Sagittarius the Archer, Capricornus the Seagoat, Aquarius the Water Bearer, Pisces the Fish, Aries the Ram, Taurus the Bull, Gemini the Twins, Leo the Lion—the Sun returns to Virgo the Maiden, where the cycle starts over again.
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What is inverse variation examples?
The most common example of inverse variation is distance and speed. As the speed increases the distance decreases.
Unemployment and inflation have a well-known inverse relationship. When the value of one parameter rises while the value of the other decreases, the parameters, such as time and distance, are inversely connected. When x is not equal to zero and k is a nonzero real number constant, the nonlinear function known as inverse variation is described by the equation x y = k. If there is a nonzero constant k such that y = k x, then the variable y fluctuates directly as x. A link between two variables that can be mathematically described by an equation in which the product of the two variables equals a constant. The inverse of a trigonometric function, the inverse of a rational function, the inverse of a hyperbolic function, and the inverse of a spherical function.
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What are some of the safety procedures to follow when refueling?
The safety procedures to follow when refueling includes emptying the vehicle and turning of the engine.
Some certain safety procedures has to be followed while refueling the vehicle.
1. We have to make sure that we turn off the engine while refueling because keeping the engine on while refueling can give price to an unexpected explosion.
2. There are certain vehicles that have the gas cylinders in them as a fuel tank, in these cases we have to make sure that there is no one sitting inside the car while refueling. Doing this is not an economical thing and also it can give rise to certain unexpected accidents.
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What happens to waves when they pass through a narrow opening?
The act of waves spreading out after passing through a tight opening happens when they cross the edge of a surface, as they are twisted around an object, and as they pass through the aperture's narrow opening. phenomenon where the amplitudes of two or more waves combine.
What happens when a wave enters a narrow passageway?When a wave runs into a minor obstruction or an opening, it may bend to get around it or pass through it before spreading out. The term "diffraction" refers to this bending or spreading out.
What occurs to waves when they pass through a barrier with a small opening?A wave that runs into a minor obstruction will typically bend around it. Diffraction is the name given to this wavefront bending.
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When loading passengers onto your boat where should you position them?
While loading the passengers on to the boat we should make sure that we position them write above the centre of mass of the boat.
The center of mass is a point in or outside anybody where we consider that the whole mass of the body is concentrated. We know that when are boat is hovering over a fluid it will experience some upward force which is equal to the mass of the fluid displaced by the boat.
When we position the passengers write about the centre of mass of the boat, we reduces the chance of disbalance of the boat by a very significant level.
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