(A) Apparent weight when the car is at the top of the bump is 388 newton. (B) Speed at which the car loses contact with the bump road is 17.15 m/s.
What is weight?In science and engineering, weight of an object is defined as the force acting on the object due to gravity.
Given, r = 30 m ; v = 10 m/s and m = 60 kg
A) Let N be normal reaction.
And at the bump
N = mg - mv² / r
N = 60 x 9.8 - 60 x 10 x 10 / 30 = 588 - 200
N = 388 newton
Part B) Then contact loose, N = 0
So, mg = mv² / r
v² = r x g = 30 x 9.8 = 294
v = 17.15 m/s.
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Note: The question given on the portal is incomplete. H. Here is the complete question.
Question: A car moving at a steady 10 m/s on a level highway encounters a bump that has a circular cross-section with a radius of 30 m. The car maintains its speed over the bump. What is the normal force exerted by the seat of the car on a 60 kg passenger when the car is at the top of the bump? Part B) what speed does the car lose contact with the bump road?
What volume of water has the same mass as 8.0 m3 of ethyl alcohol?b. If this volume of water is in a cubic tank, what is the pressure at the bottom?
a) Volume is 6.312 m3
b) Pressure is 18 kPa
The volume of the water is 6.312 m³.
The pressure at the bottom is 18 kPa.
What is density?The substance's mass per unit of volume is known as its density (volumetric mass density or specific mass). Although the Latin letter D may also be used, the sign most frequently used for density is ρ (the lower case Greek letter rho).
The volume of the water is = {(8.0)/density of ethyl alcohol} × density of water
= 6.312 m³
If this volume of water is in a cubic tank, the pressure at the bottom =
∛(6.312) × 9.8 × 1000 Pa
= 18 kPa.
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Finding the charge: Two spheres 6.0 units apart, attract each other with a force of 3 x 10 9 N. Determine them magnitude of the charge on one sphere if the other sphere has a charge of 9 E-8.
the ability to generate force at a fast speed is called?
The ability to generate force at a fast speed is called power. Power is the rate at which work is done and is calculated as the work done divided by the time taken to perform that work.
How can you calculate power?Power can be calculated using: Power = Work / Time
where "Work" is the amount of energy transferred and "Time" is the time taken for the work to be done. The unit of power is typically joules per second, which is also known as a watt (W).
What does a high level of power mean?A high level of power means that a high force can be generated in a short amount of time, leading to rapid acceleration and high-speed movement. This ability is important in many physical activities, such as sports, and is often a focus of training and improvement.
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a certain radar uses microwave radiation with a wavelength of 2.33 mm. what is the frequency of this electromagnetic radiation (s-1 )?
The frequency (in s⁻¹) of the electromagnetic radiation having a wavelength of 2.33 mm is 1.29×10¹¹ s⁻¹
How do I determine the frequency of the electromagnetic radiation?When the wavelength of a radiation is given, we can obtain the frequency using the following formula:
Velocity (v) = wavelength (λ) × frequency (f)
The following data were obtained from the question
Wavelength (λ) = 2.33 mm = 2.33 / 1000 = 2.33×10⁻³ m Speed of electromagnetic wave (v) = 3×10⁸ m/sFrequency of electromagnetic radiation (f) =?Thus, the frequency of the electromagnetic radiation can be obtained as follow:
Velocity (v) = wavelength (λ) × frequency (f)
3×10⁸ = 2.33×10⁻³ × frequency
Divide both sides by 2.33×10⁻³
Frequency = 3×10⁸ / 2.33×10⁻³
Frequency = 1.29×10¹¹ s⁻¹
Thus, we can conclude, the frequency is 1.29×10¹¹ s⁻¹
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faraday cup, and then measure the charge at various points on and in the cup. what do we find, and why
The charge at various locations on and inside the Faraday cup will vary depending on the material used to make it.
The charge will be equally distributed around the cup if it is constructed of a conductive material, such as copper, because the current will flow across the entire surface of the cup. The charge will, however, concentrate on the surface of the cup if it is constructed of an insulating substance like plastic since the current cannot pass through the insulating material. This is so that the current can only flow on the cup's exterior since the Faraday cup serves as a shield against electric fields.
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what is the magnitude of the electric field, in newtons per coulomb, at point p, in the center of the semicircle?
The magnitude of the electric field at a point can be calculated using the equation: [tex]E = k *\frac{Q}{ r^2}[/tex].
where E is the electric field, k is Coulomb's constant (8.99 x 10^9 N m^2/C^2), Q is the charge generating the field, and r is the distance from the point to the source of the field.
Without more information on the charge distribution, it is not possible to calculate the electric field at point P in the center of the semicircle. When Q is the charge producing the field, k is Coulomb's constant (8.99 x 109 N m2/C2), and r is the distance between the point and the source of the field.
The magnitude of the electric field at a point can be calculated using the equation: [tex]E = k *\frac{Q}{ r^2}[/tex]
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a rock is thrown downward from a cliff with an initial speed of 6.50 m/s. the rock takes 2.65 seconds to hit the ground. how high is the cliff, in meters?
The height of the cliff is 30.2 m.
What is the height of the cliff?We have to note that in this case we would have to use the equations of motion so as to obtain the height of the cliff as we know.
We can now write that we have that;
h = ut + 1/2gt^2
h = height of the cliff
u = initial speed
g = acceleration due to gravity
t = time taken
We would then have that;
h = 6.5 * 2.65 + (0.5 * 9.8 * 2.65)
h = 30.2 m
The cliff is found that it would have a height of 30.2 m as we can see above
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which moon phases are associated with the highest tides
As stated in the preceding statement The highest tides occur during new moon nor low moon phases.
How will the moon end?The Moon will finish moving away from Earth at present rate of separation in around 15 billion years, according to calculations of the development of the Earth/Moon system. In around 6 to 700 million years, our Sun is predicted to enter his Red Giant phase.
Were we able to endure without the Moon?The stability of the climate is maintained by the moon's gravitational pull, which reduces Earth's tremor. A blessing for life, that. Without it, the climate may change dramatically over millennia, with certain regions being extremely hot before going through protracted ice ages.
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a horizontal clothesline is tied between 2 poles, 12 meters apart. when a mass of 3 kilograms is tied to the middle of the clothesline, it sags a distance of 3 meters. what is the magnitude of the tension on the ends of the clothesline?
The magnitude of the tension on the ends of the clothes line is 33.4N when it is tied between 2 poles, 12 meters apart.
Given the distance between two cloth poles (d) = 12m
Mass of object (m) = 3kg
The mass is tied at the middle of the cloths line.
The distance the mass sages (s) = 3m
Let the angle made by the mass on cloths line = θ
We know that tan θ = (6/3) since mass is at middle
θ = tan^-(2) = 63.4°
Let the magnitude of tension on the ends of cloths line = T
such that: mg = 2Tcosθ where g is gravitational acceleration.
T = 3 x 9.8 / 2 x cos 63.4° = 29.4/2 x 0.44 = 33.4N
Hence the tension required at the ends of cloths line is 33.4N
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a small object a, electrically charged, creates an electric field. at a point p located 0.250 m directly north of a, the field has a value of 40.0 n/c directed to the south.
A force of 40.0 N/C is applied to a positively charged test particle positioned at point "p" if a tiny, electrically charged item "a" generates an electric field with a value of 40.0 N/C directed south at point "p" situated 0.250 m directly north of "a."
What exactly is a "electric field"?When there is charge present in whatever form, every point in space has a corresponding electric field. E is a mathematical constant that expresses the strength and direction of an electric field. It is sometimes referred to as electric field strength, electric field intensity, or simply the electric field. An electric field is a type of physical field that contains electrically charged particles that act to either attract or repel other charged particles inside the field (or E-field). It also describes the particle system's physical surroundings.
Electric field: where is it?A property of an electric field known as electric flux can be thought of as the number of electric lines with force (or electric field lines) that span a given area. Electric field lines are assumed to have positive electric charges at their beginnings and negative electric charges at their ends. The term "electric field" refers to the physical field that contains electrically charged particles and acts to either attract or repel all other charged particles inside the field (or E-field). It also describes the particle system's physical surroundings.
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Complete question -
A small object A, electrically charged, creates an electric field. At a point P located 0.250 m directly north of A, the field has a value of 40.0 N/C directed to the south.
What is the charge of object A?
a ball with mass $m$, radius $r \ll r$, and moment of inertia $\beta mr^2$ rests on top of a fixed sphere of radius $r$. a small nudge is given to the ball, and the ball rolls without slipping down the side of the sphere. at what height $h$ above the center of the sphere does the ball lose contact with the sphere?
The height h at which the ball loses contact with the sphere is [tex]$h = \frac{r}{2} \left( 1 + \frac{r^2}{2\beta} \right)$[/tex]
The height h at which the ball loses contact with the sphere can be calculated using the conservation of energy. At the highest point of its motion, the total mechanical energy of the ball consists of its potential energy mgh and its rotational energy [tex]$\frac{1}{2} \beta \omega^2$[/tex], where g is the acceleration due to gravity, h is the height above the center of the sphere, and [tex]$\omega$[/tex] is the angular velocity of the ball.
At the point of loss of contact, the rotational energy is converted into kinetic energy, and the ball begins to fall freely. Setting the initial and final total mechanical energy equal and solving for h, we find that [tex]$h = \frac{r}{2} \left( 1 + \frac{r^2}{2\beta} \right)$[/tex]
Thus, the height at which the ball loses contact with the sphere depends on the radius of the sphere, the mass of the ball, and its moment of inertia.
Complete question:
Imagine a ball of mass m is placed on top of a larger sphere with a radius r. When a small force is applied to the ball, it starts rolling down the side of the larger sphere without slipping. The question is, at what height h above the center of the larger sphere will the ball stop rolling and lose contact with the sphere?
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the all-or-nothing principle maintains that once the electrical impulse reaches a _____, the impulse will fire.
calculate the magnitude (in m/s2) of the centripetal acceleration at the tip of a 3.20 m long helicopter blade that rotates at 205 rev/min
The magnitude of the centripetal acceleration at the tip of a 3.20 m long helicopter blade that rotates at 205 rev/min can be calculated using the formula a = (2πr)²/T, where r is the radius of the blade (in this case 3.20 m), and T is the period of rotation (in this case 1/205 seconds).
This gives a value for an of 37.22 m/s2.
It is important to note that the centripetal acceleration of an object can be affected by various external forces, such as friction and air resistance. These forces can cause the magnitude of the centripetal acceleration to be different from the value calculated using the above formula.
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A roller coaster climbs up a hill at 4 m/s and then zips down the hill at 30 m/s what is the momentum of the roller coaster a. zero throughout the ride
b. the same throughout the ride
c. the greater down the hill than up the hill
d. greater up the hill than down the hill
Answer:
Greater down the hill than up the hill.
Explanation:
Why do astronomers use light years?
Astronomers use light years because the distances between objects in space are incredibly large, often measured in millions or billions of kilometres. Light travels at a speed of 299,792 kilometres per second, it is a convenient unit for expressing astronomical distances.
How can one define one light year?One light year is defined as the distance that light travels in one year in a vacuum, which is approximately 9.46 trillion kilometers. Using light years to express distances in space allows astronomers to compare and understand the relative distances between different objects.
Which is the nearest star to the sun?The nearest star to our Sun, Proxima Centauri, is approximately 4.24 light years away, while the closest galaxy, the Large Magellanic Cloud, is about 160,000 light years away.
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a window washer is standing on a scaffold supported by a vertical rope at each end. the scaffold weighs 194 n and is 3.15 m long. assume the 883 n worker stands 1.28 m from one end of the scaffold. what is the force on the rope farther from the worker? answer in units of n. answer in units of n.
The force on the rope farther from the worker is 366.77 N.
The force on each rope can be calculated using the equation for tension, which states that the tension in a rope is equal to the weight of the object it is supporting (in this case, the scaffold and the worker) divided by the number of ropes supporting it.
The total weight of the scaffold and the worker is 883 N + 194 N = 1077 N.
Since there are two ropes, each rope must support half of this weight, or 1077 N / 2 = 538.5 N.
However, since the worker is not standing directly in the center of the scaffold, their weight creates a torque on the scaffold that must also be supported by the ropes. The torque created by the worker's weight can be calculated using the equation:
Torque = force * distance from pivot where,
the force is the weight of the worker (883 N) the distance from the pivot is the distance from the worker to the end of the scaffold (1.28 m).So the torque created by the worker is:
838 N * 1.28 m = 1087.84 N * m
This torque is supported by both ropes, so each rope must support half of the torque:
1087.84 N * m / 2 = 543.92 N * m
Finally, we can find the force on each rope by combining the tension and the torque:
Force on rope = tension + torque/distance from pivot
where the distance from the pivot is the length of the scaffold (3.15 m).
For the rope closer to the worker, the force is:
538.5 N + (543.92 N * m) / 3.15 m
= 538.5 N + 171.73 N
= 710.23 N
And for the rope farther from the worker, the force is:
538.5 N - (543.92 N * m) / 3.15 m
= 538.5 N - 171.73 N
= 366.77 N
So, the force on the rope farther from the worker is 366.77 N.
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Why is the microscopy slide shining a blue light? a) Phalloidin is excited by blue light analogous to DAPI b) The blue light has a longer wavelength than the green light; therefore, it excites the fluorophore c) The high energy blue light initiates the crosslinking of actin and phalloidin d) The green fluorescent dye attached to phalloidin is excited by blue light and emits green light
Phalloidin contains a green fluorescent dye that is stimulated by blue light and produces green light.
What is revealed by phalloidin staining?It is frequently employed in imaging applications to specifically mark F-actin in fixed cells, permeabilized cells, and cell-free investigations. Phalloidin is a bicyclic peptide that is a member of a family of poisons derived from the dangerous Amanita phalloides "death cap" mushroom.
What is the phalloidin's mode of action?The discovery of actin nuclei and short polymers in populations of G-actin treated with phalloidin without the addition of KCl further supports this effect of phalloidin. We, therefore, conclude that phalloidin regulates actin polymerization by stabilizing nuclei and polymers as they develop.
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the electric potential of a charge distribution is given by v(x, y) = 2xy - x2 - y. at which point is the electric field equal to zero?
The electric field is equal to zero at the point [tex](x, y) = (1/2, 1/2)[/tex].
What is electric potential?
The electric potential, is a scalar field that represents the potential energy per unit charge at a given point in space. It is a measure of the amount of work required to move a unit positive charge from a reference point (typically taken as infinity) to a particular point in space. The electric potential is often used to describe the behavior of electric fields in a region and to calculate the force experienced by charges in that region.
Calculation to find the points where the electric field is equal to zero.
The electric field at a point (x, y) is given by the gradient of the electric potential, which is a vector pointing in the direction of the maximum rate of increase of the potential.
The electric potential[tex]v(x, y) = 2xy - x^2 - y[/tex] can be written as:
[tex]v(x, y) = 2x y - x^2 - y[/tex]
So the gradient of the electric potential is:
[tex]∇v(x, y) = < ∂v/∂x, ∂v/∂y > = < 2y - 2x, 2x - 1 >[/tex]
The electric field is equal to zero at the points where the gradient is equal to zero. So, each component of the gradient has to be set equal to zero and solve [tex]x[/tex]and[tex]y[/tex]:
[tex]2y - 2x = 0 = > y = x[/tex]
[tex]2x - 1 = 0 = > x = 1/2[/tex]
Therefore, the electric field is equal to zero at the point[tex](x, y) = (1/2, 1/2)[/tex].
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of the following, which consists of electro-magnetic waves with the shortest wavelength? a. a beam of green light b. tv transmissions bringing us monday night football c. the sound of the instructor's voice d. the waves of a dental x-ray e. the rays that tan a sunbather on the beach
The highest energy, shortest wavelengths, and highest frequency are found in gamma rays.
What is the wavelength of the shortest gamma ray?Gamma radiation, which do have wavelength of 10e-6 meters or fewer, are the shortest waves. Radio waves, which do have wavelength of many kilometers, are the longest waves. The limited region of the visible range, from 0.4 micron (blue) to 0.7 microns, makes up the visible spectrum (red).
What has a wavelength that is quite short?Very, extremely short wavelengths characterize light waves. While purple and blue light even have shorter wave with wavelength around 400 or 500 nanometers (nm), red light wavelengths have wavelength about 700 nm.
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assuming all the values given are exact, what is emmy's velocity at a time of 3.23 s ? enter your answer to at least three significant digits.
Velocity of Emmy at time of 3.49 s is calculated to be as -8.47 m/s.
What is velocity?Velocity defines the direction of movement of the body or any object.
Given, initial velocity of Emmy, u = 2 m/s
acceleration at time , 3.0 s is -3 m/s²
acceleration at time, 4.0 s is -3 m/s²
Acceleration at time of 3.49 s must be -3 m/s², as the acceleration is constant from 3.0 s to 4.0 s.
Velocity of Emmy at time 3.49 s can be calculated as ;
v= u +at
a is the acceleration of Emmy at time-- 3.49 s
u is initial velocity of Emmy
v is final velocity of Emmy at time -- 3.49s
v= 2 + ( -3 * 3.49)
v = -8.47 m/s
Hence, velocity of Emmy at time , 3.49 is -8.47 m/s
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Question: Emmy is standing on a moving sidewalk that moves at +2 m/s. Suddenly, she realizes she might miss her flight, so begins to speed up, but then she hears over the PA system that her flight is delayed. Emily's acceleration during the 5 s time period in which all of the events occur is shown in the acceleration versus time graph. In the velocity versus time graph, construct a plot of Emmy's velocity over this same time period. Assuming all the values given are exact, what is Emmy's velocity at a time of 3.49s? Enter your answer to at least three significant digits.
What force besides gravity controls the orbit of a planet or moon?
The gravitational force from the sun controls the orbit of the moon and the planet besides gravity.
Anything in the universe if has mass, then it is tends to have some gravitational interaction with other objects having some mass.
The moon and the planet interact with each other due to the gravity of the planet. Beside this gravity, one more force that is responsible is the gravitational force due to the sun.
The gravitational force of the sun makes the earth rotate around the sun, and it indeed result in the rotation of the moon around the planet.
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What can you infer about the Maastrichtian Age from its name?
The first research on these rocks took location near to Maastricht, Netherlands.
Whats is a rock?A rock is a dense mass of granules that have grown or been cemented together over time. There are big rocks and little rocks. Pebbles are little rocks. One or more metals can be found in every rock. According to how they were formed, rocks are categorized by geologists (those who study minerals and minerals).
What are the 3 types of rocks?When molten, heated material cools and solidifies, extrusive, and volcanic, igneous rocks are created. Sedimentary, igneous, or metamorphic rocks are the three main categories of rocks. Each of these rocks is the result of physical processes that are a part of the rock cycle, including such melting, cooling, erosion, compacting, or deforming.
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Water is liquid at room temperature due to weak hydrogen bonds.
ATrue
BFalse
It is accurate to say that water is a liquid at room temperatures because of the weak hydrogen bonds.
What is hydrogen used for?Fuel cells may create power, power, and heat using hydrogen. The industries where hydrogen is currently most widely employed are fertilizer manufacturing and petroleum refining, with growing markets of utilities and transportation.
Can hydrogen be used as fuel?The fuel for combustion engines can also be hydrogen. These, however, are less effective than FCEVs and emit tailpipe pollution. Try reading up on fuel cells. A gallon of gasoline has about the same amount of energy as 2.2 gbp (1 kilogram) in hydrogen gas.
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which of the following is not true of sunspots? which of the following is not true of sunspots? sunspots are surface disturbances caused by magnetic storms. sunspots can be up to 12 times larger than earth. sunspots can produce flares and prominences. more sunspots indicate increased solar radiation. sunspots are brighter than the rest of the sun's surface.
The statement "Sunspots are brighter than the rest of the sun's surface" is false.
What is magnet?Magnetism is a physical quality mediated by a magnetic field that refers to the ability to create attracted and repulsive occurrences in other substances. Magnetism is the force that magnets exert when they attract or repel one another. The movement of electric charges causes magnetism. Every material is composed of microscopic components known as atoms. Each atom contains electrons, which are charged particles. Magnetism is caused by attraction when two items are brought together or repulsion when two objects are moved apart. A magnet is an item with magnetic qualities. A magnet, for example, may attract another thing.
Here,
Sunspots are really darker than the surrounding photosphere, and thus appear as black spots on the sun's surface. This is because large magnetic fields are concentrated in these areas, inhibiting convection and cooling the surface.
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16. how does the velocity of object 2 compare to object 1? what can you say about the direction they are traveling relative to one another?
The velocity of object 2 can be compared to object 1 by calculating the difference in their velocities.
The direction of their velocities can be determined by looking at the direction of their individual velocities relative to a fixed point. Since the velocities of both objects are in the same direction, you can say that both objects are travelling in the same direction relative to one another.
Speed is a measurement of how quickly an object changes its position. It is measured as the distance an object travels divided by the amount of time it takes to travel that distance.
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if a mass undergoes a temperature change without the input or removal of heat from the surrounding environment, the process is known as
By providing shade and evapotranspiration cooling, planting trees and other plants lower surface and air temperatures. Directly shady trees and other greenery can reduce the amount of air conditioning in your home.
When heat is removed, what is it known as?Exothermic reactions are those in which heat is removed from a substance. As the heat decreases, molecules' speeds also do so. This causes them to move more slowly, which changes their phase.
What impact does temperature have on mass?Mass is just the quantity of substance that exists. As a result, modifying the temperature has had no direct effect on mass because there is always the same quantity of matter present. Mass every unit volume is the definition of density for a substance.
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imani is in a specialty clinic, sitting in a chair. she is about to receive a treatment that scientists believe will produce less side effects by targeting specific brain areas using short magnetic pulses from a coil held next to her head. anesthesia will also be unnecessary, further reducing negative side effects. what treatment will imani be receiving?
Imani is likely to be receiving Transcranial Magnetic Stimulation (TMS) treatment.
What is magnet?Magnetism is a physical quality mediated by a magnetic field that refers to the ability to create attracted and repulsive occurrences in other substances. Diamagnetic materials are those that magnetize freely when put in a magnetic field. However, the magnetization is oriented in the opposite direction as the magnetic field. These materials' magnetism is referred to as diamagnetism. Magnetism is a component of the broader phenomenon of electromagnetic. The most well-known effects occur in ferromagnetic materials, which are highly attracted by magnetic fields and may be magnetized to become permanent magnets, hence creating magnetic fields. It is also feasible to demagnetize a magnet.
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if you push on a friend who is moving away from you, how will the force you exert on your friend compare to the force your friend exerts on you?
If we push other person with a force, he or she can exerts an equal and opposite force. If the force is unbalanced, then the displacement will occur in the direction of greater force.
What is force?Force is an external agent acting on a body to change its motion or to deform it. The net force acting on a body depends on the magnitude and direction of all the forces acting on it.
According to Newton's third law of motion for every action there is an equal and opposite reaction. Therefore, the force exerted on anything is accompanied by an equal and opposite force.
If we push another person with a force, then the they can exerts an equal force in opposite direction. If the force in any direction dominates, the displacement occurs in that direction.
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a mass of 10-g of oxygen fills a weighted piston/cylinder device at 20 kpa and 100oc. the device is now cooled until the temperature is 0oc. determine the change in volume of the device during this cooling
The change in volume of the device during this cooling is calculated to be -0.013 m^3.
What is pressure?Force that is applied perpendicular to surface of any object per unit area over which force is distributed is called as pressure .
Pressure remain constant for weighted piston cylinder
So, P1 =P2
We know gas constant ,R = 259.81 j/Kg- K = 0.2598 kJ/kg K
Given, m1 =m2 = 0.01 kg; P1 = 20kPa; T1 = 100 degree C = 373 K
and T2 = 0 degree C= 273 K
As we know, P1V1 =m RT1
So, V1= m RT1/P1
= 0.01 * 2.598 *373/20
V1 = 0.0484 m3
As, P2V2 =m RT2
V2= m RT2/ P2
V2 = 0.01 * 2.598 *273/20
So, V2 = 0.0.3546 m3
Now, ΔV = V2 - V1
= 0.0354 - 0.0484
= -0.013 m3
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Please help me out!
Match potential answers to the relating images
1. All elastic potential
2. Elastic + gravitational potential
3. All kinetic potential
If we consider the rank of image from left to right:
image 1: all kinetic energy.
image 2: Elastic + gravitational potential
image 3: All elastic potential
What is potential energy?The energy that an item retains due to its position in relation to other objects, internal tensions, electric charge, or other reasons is known as potential energy in physics.
Potential energy can take many different forms. Some examples are an object's gravitational potential energy, the elastic potential energy of a stretched spring, and the electric potential energy of an electric charge in an electric field.
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