The ratio u/u0 : 1/2
As the distance is doubled and the battery is connected, we know that Capacitance is given by: [tex]C= \frac{\epsilon_0 A}{d}[/tex]
As the distance between the plate is doubled, C will become: [tex]C= \frac{\epsilon_0 A}{2d} = \frac{C}{2}[/tex]
Now, as the battery is connected, Voltage will remain constant, therefore Charge Q will become: [tex]Q=\frac{CV}{2}[/tex]
The energy before doubling the distance between the plates was, U0 :
[tex]U_0 = \frac{1}{2}QV = \frac{1}{2}CV^2[/tex]
After doubling the distance, the Energy will become U:
[tex]U = \frac{1}{2}QV = \frac{1}{4}CV^2[/tex]
Therefore, the ratio will be:
[tex]\frac{U}{U_0} = \frac{\frac{1}{2}CV^2}{\frac{1}{4}CV^2} = \frac{1}{2}[/tex]
What is capacitor ?A capacitor is a bipolar electrical device that can store energy in the form of an electrical charge. It consists of two electrical conductors separated by a distance. The space between the conductors can be filled with a vacuum or an insulating material known as a dielectric. The ability of a capacitor to store charges is called capacitance. Capacitors store energy by keeping opposite charges away from each other. The simplest model of a capacitor is a parallel plate, which consists of two metal plates with a gap between them. However, different types of capacitors are manufactured in different shapes, styles, lengths, circumferences and materials.
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a 21.6 gram arrow is shot through a 7.5 cm apple. if the arrow enters the apple at 35.5 m/s and emerges with a speed of 25.3 m/s in the same direction, what is the magnitude of the force with which the apple has resisted the arrow? (assume force is exerted only on the tip of the arrow)
The magnitude of the force with which the apple has resisted the arrow is 88.06 Newton.
Using, work-energy theorem,
According to which, the work done by the all the forces on the body is equal to the change in kinetic energy of the body.
So, we can write,
Work done = ∆KE
We know,
Work done = force × displacement
The force is the resistive force by the apple and the displayed is given to be 0.075 meters.
So, we can write,
F(0.075) = 1/2M(V²-U²)
Where,
M is the mass of apple,
V is final velocity,
U is initial velocity.
Putting all the values,
F(0.075) = 1/2(0.0213)((25.3)²-(35.5)²)
Solving further,
F = 88.06 Newton
The resistive force of the apple is 88.06 Newton.
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The skater eventually comes to a stop.
What has happened to all of the skater's
original potential energy?
psychology is the ___ study of behavior and mental processes
Answer:
scientific study
Explanation:
I hope that helps
Answer:
scientific studies
give me brainlyest please
9. a supply plane needs to drop a package of food to scientists working on a glacier inalaska. the plane flies 100 m above the glacier at a speed of 150 m/s. how far short of the target should it drop the package?
[tex]X=150m/s * 4.518s =677.63m[/tex] far short of the target it will drop the package.
How far short of the target should it drop the package?First we can find the total time in order to reach the ground using the following kinematic formula:
[tex]y_{f} =y_{i}+v_{iy}+ \frac{1}{2} gt^{2}[/tex]
And replacing we have:
[tex]-100 =0+0- \frac{1}{2} (9.8)t^{2}[/tex]
And solving for t we got:
[tex]t=\sqrt{ \frac{2* (-100)}{-9.8} }=4.518 s[/tex]
And now we can find the final distance on the x axis using the formula:
[tex]D = Vxt[/tex]
The velocity on x not changes and is the same plane speed [tex]Vx=150m/s[/tex] , if we replace we got:
[tex]X=150m/s * 4.518s =677.63m[/tex]
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a site was measured to have an average wind velocity of 5.2 m/s at 13m above ground. if the surface roughness exponent is assumed to be 0.23, what will the predicted wind velocity be at 32m above ground?
The wind velocity at 32 m above the ground is 6.39m/s when the roughness exponent of the surface is 0.23
Given in the problem is
Wind velocity at 13m above the ground v1 =5.2 m/s
Height initially h1 = 13m
height at which wind velocity is to be predicted h2= 32m
surface roughness exponent α = 0.23
Let velocity to be predicted be v2
We know that from the formula
v2= v1*(h2/h1)^α
⇒v2= 5.2 * (32/13)^ 0.23 = 6.39 m/s
Thus the wind velocity at 32m above the ground is 6.39m/s
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A particle’s position along the x-axis is described by the functionx(t) = A t + B t2,where t is in seconds, x is in meters, and the constants A and B are given below.Randomized VariablesA = -4.9 m/sB = 6.9 m/s2q. Enter expression interms of A,B, t for the velocity of the particle as a function of time? What time will the velocity be zero?
Given,
The position function is, x(t)=At+bt²
A=-4.9 m/s
B=6.9 m/s²
The velocity is described as the rate of change if the displacement with time.
That is, the velocity is the time derivative of the displacement.
Therefore on differentiating the given function with respect to the time, we get the expression for the velocity.
i.e.,
[tex]\begin{gathered} v(t)=\frac{d(At+Bt^2)}{dt} \\ =A+2Bt \end{gathered}[/tex]Therefore the expression for the velocity is A+2Bt
To know at what time the velocity will be zero,
[tex]A+Bt=0[/tex]On simplifying the above equation,
[tex]t=\frac{-A}{B}[/tex]On substituting the known values in the above equation,
[tex]t=\frac{-(-4.9\text{ )}}{6.9}=0.71\text{ s}[/tex]Therefore the velocity will be zero at 0.71 s
Decreasing a telescope's eyepiece focal length will:
increase magnification
decrease magnification
have no effect on magnification
Decreasing a telescope's eyepiece focal length increases magnification.
What is Magnification?The degree to which a telescope magnifies its subject. It is equal to the focal length of the telescope divided by the focal length of the eyepiece.
By doing two things, a telescope makes celestial objects visible:
1) making very faint objects visible by collecting much more light than the human eye can by itself using a big lens or mirror.
2) enlarging the things' size to make it easier to perceive their features.
On decreasing the focal length of the eyepiece focal length the magnification will increase.
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the radius of a circular oil slick expands at a rate of 3 m/min. (a) how fast is the area of the oil slick increasing when the radius is 58 m? (use symbolic notation and fractions where needed.)
1092.72 square meters / min, area of the oil slick increasing.
Area = pi*r^2
da/dt = pi*2r*(dr/dt)
da/dt = pi*(2)*(58)*3 = 1092.72 square meters / min.
In a two-dimensional plane, a circle's area is the space it takes up. The area of a circle is another term for the area that lies within a circle's perimeter. A = r2, where r is the circle's radius, is the equation for a circle's surface area. The square unit, such as m2, cm2, in2, etc., is used to measure area. The formula for the area of a circle is (Pi) = 22/7 or 3.14, where (Pi) = r2 or d2/4 in square units. The ratio of a circle's diameter to circumference is known as pi.
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a window-mounted air conditioner removes 3.5 kj from the inside of a home using 1.75 kj work input. how much energy is released outside and what is its coefficient of performance?
The amount of heat released outside is 3.5 kJ and the coefficient of performance is 2.
What is efficiency of a machine?The efficiency of the a machine or any device is the measure of effectiveness of the device. Efficiency describes how a machine converts input energy to output energy without wasting much of the input energy.
Mathematically, efficiency of a machine is given as;
E = output energy / input energy x 100%
The coefficient of performance (COP) of a heat pump, refrigerator or air conditioning system is a ratio of useful heating or cooling provided to work required.
The energy released outside = 3.5 kJ
COP = 3.5 kJ / 1.75 kJ
COP = 2
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an archer shoots an arrow toward a 300-g target that is sliding in her direction at a speed of 2.15 m/s on a smooth, slippery surface. the 22.5-g arrow is shot with a speed of 42.0 m/s and passes through the target, which is stopped by the impact. what is the speed of the arrow after passing through the target?
24.46 m/s is the speed of the arrow after passing through the target.
p=mv
Conservation of momentum: m1v1=m2v2
The target has a mometum of -(.3kg)(2.15m/s)
the arrow has a mometum of (.0225kg)(42.0m/s)
After impact the mometum of the target is 0 Ns since its velocity is zero.
After impact the velocity of the arrow can be determined with conservation of momentum calculations.
Δp(arrow)=-Δp(target)
m(arrow)v(arrow)i+m(target)v(target)i=m(arrow)v(arrow)f+m(target)v(target)f
(.0225kg)(42.0m/s)-(.3kg)(2.15m/s)=(.0225kg)vf(arrow)
the final velocity of the arrow should be equal to((.0225kg*42.0m/s)-(.3kg*2.15m/s))/.0225kg
v(arrow) final = 24.46 m/s
What is momentum?Momentum is a quantity used to describe the state of motion of an object with non-zero mass. Therefore momentum can be applied to any moving object. If
m is the mass of a body and v is the velocity of that body, the impulse momentum can be expressed as p=m.v
Since velocity is considered a vector, momentum is also considered a vector. This means that the impulse has a significant magnitude and direction—an impulse indicated by a vector or arrow. For example, if a ball of a certain mass moves with a certain speed, it has momentum. When the ball hits the wall, it stops and thus carries its momentum over the wall. Therefore momentum is always conserved.To learn more about momentum, refer;
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Find the acceleration of the 1kg block m the following diagram 5n 4n 5n
Explanation:
56777^7744 hold the 4 nd add 2
josh and taylor, standing face-to-face on frictionless ice, push off each other, causing each to slide backward. josh is much bigger than taylor. after the push, which of the two is moving faster?
After the push, Taylor will be moving faster because he has a smaller mass.
What is the force applied by each person?The force exerted by each person is determined by applying Newton's second law of motion.
F = ma
where;
m is the mass of the persona is the acceleration of the personThe force applied by each person depends on the mass and acceleration.
mass of Josh > mass of Taylor
Since Josh has a greater mass, he will be able impact more force on Taylor causing Taylor to move faster after the push.
Thus, the speed of each person after the push, depends on the force received by each person at the opposite end.
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Please help and explain will mark brainiest!!!
The particles or energy in a transverse wave travel up and down, perpendicular to the direction of the wave travel.
What is electromagnetic wave?
Electromagnetic waves are type of wave that do not require material medium for their propagation.
This type of waves travels in vacuum or in open medium.
Examples of electromagnetic waves include the follows;
Gamma raysx-raysultraviolet raysvisible lightinfra redmicro wavessound wavesElectromagnetic waves are known as transverse waves due to their mode of propagation.
In transverse wave, the particles of the medium travels perpendicular to their mode of vibration.
Thus, the particles or energy in a transverse wave travel up and down, perpendicular to the direction of the wave travel.
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larry uses a lever to list a box. where does inefficiency occur in the lever
Answer:
low internal resistance.
Explanation:
A lever has a high efficiency due to the fact that it has low internal resistance. The work it puts out is almost equal to the work it receives, because energy used up by friction is quite small. On the other hand, an a pulley might be relatively inefficient due to a considerably greater amount of internal friction.
Energy that comes from sources whose supplies are capable of being regenerated or are virtually inexhaustible is called.
Answer: Renewable
Explanation: Hope this helps.
Efficiency of Machines Quick Check
Which is the equation for a machine's efficiency? (1 point)
O Efficiency
O Efficiency input energy - output energy
input energy . 100
=
=
=
output energy
input energy
O Efficiency output energy
O Efficiency input energy + output energy
=
. 100
The equation for a machine's efficiency is Efficiency = Output energy / Input energy * 100
Efficiency = ( Output energy / Input energy ) * 100
The efficiency of an ideal machine is 100% where Output energy is equal to Input energy. The efficiency cannot be greater than 100% in any machine. Because work done by the machine cannot be more than the work done on the machine.
The efficiency of a machine in real world is always less than 1 because some of the input energy is lost as friction or heat in any type of machine. So the ideal machine is possible in real world applications.
Therefore, the equation for a machine's efficiency is Efficiency = Output energy / Input energy * 100
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Which vehicle has an acceleration of 5 m/s²?
A a bicycle, when its speed changes from rest to 2.5 m/s in 2s
B a car, when its speed changes from rest to 15 m/s in 5s
C a lorry, when its speed changes from rest to 20 m/s in 15s
D a motorbike, when its speed changes from rest to 50 m/s in 10s
The vehicle has an acceleration of 5 m/s² - A motorbike, when its speed changes from rest to 50 m/s in 10s
What is an acceleration ?
Acceleration is the rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Both effects contribute to the acceleration for all other motions.
Acceleration is a vector quantity since it has both a magnitude and a direction. A vector quantity is also velocity. The velocity vector change during a time interval divided by the time interval is the definition of acceleration.
All the vehicles have an initial velocity ( u) = 0
A- For bicycle
Final velocity (v) = 2.5m/s time (t) = 2s
acceleration = 2.5/2 = 1.25m/s2
B- For car
Final velocity (v) = 15m/s time (t) = 5s
acceleration = 15/5 = 3m/s2
C- For lorry
Final velocity (v) = 20m/s time (t) = 15s
acceleration = 20/15= 1.33m/s2
D- For motorbike
Final velocity (v) = 50m/s time (t) = 10s
acceleration = 50/10= 5m/s2
Option D is the correct answer as the motorbike will have an acceleration of 5m/s2.
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Two objects with the same mass have the same force applied to them. What can be said of their acceleration?
A. Their acceleration will be the same.
B. Their acceleration will be different.
C. Their acceleration will depend on their net force, which is not provided.
D. Their acceleration will depend on their weight, which is not provided.
A force of 30 N to the right is applied to an object. An opposite force of 20 N to the left is applied to the same object. What is the net force applied to the object?
A. 10 N to the left
B. 50 N to the right
C. 50 N to the left
D. 10 N to the right
Answer:
Explanation:
A. Their acceleration will be the same. F=ma, a = F/m. If F and m are the same, acceleration will be the same.
B. Their acceleration will be different.
C. Their acceleration will depend on their net force, which is not provided.
D. Their acceleration will depend on their weight, which is not provided.
======
A force of 30 N to the right is applied to an object. An opposite force of 20 N to the left is applied to the same object. What is the net force applied to the object?
A. 10 N to the left
B. 50 N to the right
C. 50 N to the left
D. 10 N to the right
Add the two vectors: 30R = +30, 20L = -20 Sum = +10 or 10R
The force acting on two bodies will be the same if they have same mass and same acceleration. But the acceleration is dependant on the net force of the body and thus option C is correct. The net force of the body is 10 N to the right.
What is force?Force is an external agent or factor which change an object from its state of rest or motion. The force to be applied depends on the mass and acceleration of the body by the equation F = ma.
Acceleration of a moving body is dependant on the direction and thus the direction of force and net force. Thus the two objects having the same mass and same force f applied to them, the acceleration may not be the same. Thus option C is correct.
The two force acting on a body in opposite direction will cancel each other in magnitude. Thus 20N of force to the right will be cancel by 20 N to the left. Remaining 10N will be there to the right direction. Hence, option D is correct.
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When inflating a balloon, which of the following represents an equal but opposite force acting on the balloon?
A.) releasing the balloon
B) the air entering the balloon
C) tying the balloon
D) the expansion of the balloon
When inflating a balloon, the expansion of the balloon represents an equal but opposite force acting on the balloon; option D.
What are equal and opposite forces?Forces are agents which cause a change in the motion of an object moving in a straight line or an object at rest to change its position.
According to the third law of motion, reaction and action are equal and opposite forces.
This law is seen in the inflation of balloons.
When a balloon is being inflated, the force applied in inflating the balloon pushes against the wall of the balloon. The balloon acts in an equal opposite direction by forcing the air molecules together, thus increasing the pressure of the air inside the balloon.
Therefore, an equal and opposite force is exerted by the air molecules o the air molecules.
When the balloon is released, the air is forcefully forced out in the opposite direction.
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Answer:
its D
Explanation:
the person above is correct too
two power lines, each 300 m in length, run parallel to each other with a separation of 23 cm . part a if the lines carry parallel currents of 130 a , what is the magnitude of the magnetic force each exerts on the other? express your answer using two significant figures.
The magnitude of the magnetic force each exerts on the other is 4.41 N.
The magnitude of the magnetic force depends on the current through the wire, the length of the wire, and the radius of separation. It can be written as
F = μ₀ . I1 . I2 . L / (2π . a)
where F is a magnetic force, μ₀ is vacuum permeability (4π x 10¯⁷ H/m), I1 and I2 is current through the wire, L is the length of the wire and a is the radius of the wire.
From the question above, the given parameters are
L = 300 m
a = 23 cm = 0.23 m
I1 = I2 = 130 A
By substituting the parameters, we can calculate the magnetic force
F = μ₀ . I1 . I2 . L / (2π . a)
F = 4π x 10¯⁷ . 130 . 130 . 300 / (2π . 0.23)
F = 4.41 N
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How long would it take an airplane to travle 1089 miles if its flying at a speed of 375 miles per hour
Answer:
2.904
Explanation:
It would take an airplane 2.904 hours to travel 1089 miles.
As a fraction, this would equal 363/125
As a percentage, this would equal 290.4%
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why does the sky appear blue in the day vs. red during sunset? I’m looking for an answer that explain s using light rays!!
Rayleigh scattering makes the sky appear blue in the day and red during sunset.
A clear, cloudless daytime sky is blue because molecules in the air scatter blue light from the sun more than red light. Sun at sunset, appears red or orange because blue light is scattered from your line of sight.
The white light of the sun is a mixture of all the colors of the rainbow. This was demonstrated by Isaac Newton by using a prism to separate different colors to form a spectrum. Colors of light are distinguished by different wavelengths.
The visible portion of the spectrum ranges from red light with a wavelength of about 720 nm to violet with a wavelength of about 380 nm, with orange, yellow, green, blue, and indigo in between. Her three types of color receptors in the retina of the human eye are most responsive to red, green and blue wavelengths, giving us color vision.
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A river has current of 4 m/s south with respect to the shore.
A swimmer is swimming in the river (which is redundant).
If the swimmer is swimming 2 m/s north with respect to the water, what is his velocity relative to the shore?
If the swimmer is swimming 3 m/s south with respect to the water, what is his velocity relative to the shore?
PLEASE ANSWER FAST I HAVE TO SUBMIT THIS QUESTION TODAY!!
The velocity of the swimmer relative to the shore is 2 m/s south by vector addition
What is vector addition ?
Vector addition means putting two or more vectors together. In the addition of vectors, we are adding two or more vectors using the addition operation in order to obtain a new vector that is equal to the sum of the vectors. Vector addition finds its application in physical quantities where vectors are used to represent velocity, displacement, and acceleration.
We can solve this problem by using vector addition.
In fact, we can take north as positive direction, and we can write the following:
vc = - 4m/s is the velocity of the current (which is negative, since it is south)
v s= +2m/s is the velocity of the swimmer (which is positive, since it is north)
Therefore, the velocity of the swimmer relative to the shore is
v = vs + vc = 2+(-4) = - 2m/s
And the negative sign means the direction is south, so the answer is
v = 2 m/s south
The velocity of the swimmer relative to the shore is 2 m/s south by vector addition
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1.A 98.0 kg basketball player runs at a speed of 7.0 m/s. What is KE?
2.A jogger whose mass is 65 kg is moving at a speed of 4 m/s. What is the jogger's KE?
Answer:
Brainliest Answer?
2401J 520JExplanation:
E = ( 1 / 2 )mv²
b = ( 1 / 2 )( 98kg )( 7ms⁻¹ )²
b = ( 49 )²kgm²s⁻²
b = 2401J
j = ( 1 / 2 )( 65kg )( 4ms⁻¹ )²
j = ( 1 / 2 )( 65kg )( 16m²s⁻² )
j = 520kgm²s⁻²
j = 520J
Answer:
Explanation:
Given:
m = 98.0 kg
V = 7.0 m/s
__________
Ek - ?
KE - kinetic energy
Ek = m·V² / 2
Ek = 98.0*7.0² / 2 ≈ 2 400 J
Predict what will happen when the bicep muscle exerts force on the lower arm bone.
Answer:
the soft drink will be elevated by the lower arm
Explanation:
firstly, muscles can only pull on bones to cause movement so if the bicep applies force on the lower arm bone, it will pull it up.to measure the speed of an airplane, a narrow strip heater is attached to the wing of an airplane 0.01 m from the leading edge. a heat flux of 300 w/m2 is electrically dissipated and the temperature difference between the heater and the surrounding air is measured to be 1 oc. assume that the temperature of the wing is uniform. what is the speed of the aircraft?
The speed of the aircraft with a narrow strip heater attached = 370.97 m/s
The distance of the strip heater attached to the wing from the leading
edge, x = 0.01 m
Heat flux, q = 300 W/m²
The temperature difference between the heater and surrounding air,
ΔT = 1°C
The properties of the air are
The density of air, ρ = 1 kg/m³
Specific heat at constant pressure, CP = 1 kJ /kg K
Thermal conductivity, k = 0.02 W/mk
Viscosity, ν = 1.5 x 10⁻⁵ m²/s
Dynamic viscosity,
μ = ρ.ν
= 1 x 1.5 x 10⁻⁵
= 1.5 x 10⁻⁵ N s / m²
Prandtl number,
[tex]\displaystyle P_r =\frac{\mu. CP}{k}[/tex]
= 1.5 x 10⁻⁵ x 1 x 10³ / 0.02
= 0.75
Heat flux,
q = hₓ ΔT
300 = hₓ x 1
hₓ = 300 W / m² C
So, the local Nusselt number is
[tex]\displaystyle Nu_x = 0.332 Re_x^{1/2} P_r^{1/3}[/tex]
[tex]\displaystyle \frac{h_x.x}{K} = 0.332 \frac{v.x}{\nu}^{1/2}P_r^{1/3}[/tex]
where v is the velocity of the aircraft
[tex]\displaystyle\frac{300 * 0.01}{0.02} = 0.332 \left( \frac{v*0.01}{1.5 * 10^{-5}}\right)^{1/2} (0.75)^{1/3][/tex]
By further simplifying, we get
150 = 0.332 x 0.9085 x 25.82 x [tex]v^{1/2}[/tex]
v = 370.97 m/s
Therefore, the speed of the aircraft is 370.97 m/s
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The potential energy of a roller coaster is 50 joules. The kinetic energy of the same coaster is 50 joules. What is the mechanical energy of the coaster?.
A roller coaster's mechanical energy is equal to 100 Joules if its P.E. and K.E. are each 50 Joules.
As a result, the roller coaster has a mechanical energy of 100 Joules.
explanation?
50 Joules is the potential energy of a roller coaster.
A roller coaster has kinetic energy of 50 Joules.
In order to determine the roller coaster's mechanical energy:
The entire amount of potential energy (P.E.) and kinetic energy (K.E.) that an object or body possesses is known as mechanical energy.
(ME)=50+50
Mathematically, the formula for mechanical energy states that it is equal to 100 joules when the given values are substituted.
As a result, the roller coaster has a mechanical energy of 100 Joules.
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PLEASE HELP ME!
What holds the protons together in the nucleus?
A. electrons
B. anions
C. cations
D. neutrons
Answer:
neutrons.........................
The specific heat capacity, abbreviated with the letter , is the quantity of required to change the temperature of gram of an object by 1.
The specific heat capacity, abbreviated with C the letter , is the quantity of energy required to change the temperature of One gram of an object by 1
What is Specific Heat Capacity ?The specific heat capacity is defined as the quantity of heat (J) absorbed per unit mass (kg) of the material when its temperature increases 1 K (or 1 °C), and its units are J/(kg K) or J/(kg °C).
The amount of heat per unit mass needed to raise the temperature by one degree Celsius is known as the heat capacity or specific heat. The ability to distinguish between two polymeric composites using specific heat is useful in calculating processing temperatures and the quantity of heat required for processing.Learn more about Specific Heat Capacity here:
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Exciting the electrons in an iron increases the energy in the iron atom which can cause heating how might a magnetic field be used to excite electrons in atoms
Magnetic fields can be used to excite electrons in atoms because a magnetic field can pull or push electrons.
What is the effect of magnetic field on electron?Magnetic fields pull and push electrons which leads to the excitation of electrons. Metals have electrons that are loosely held together. Moving a magnet around a coil of wire around a magnet pushes the electrons in the wire that creates an electrical current. The magnetic force will not change the speed of an electron because the magnetic force is always perpendicular to the speed. Current in these coils causes the deflection of the electrons that is perpendicular to the magnetic field which is to the direction of the electrons.
So we can conclude that magnetic fields can pull or push electrons so that a magnetic field can be used to excite electrons.
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