The tensile strength of rod A and B are equal and also greater than Rod C tensile strength. The order will be C < B = A for different Cross-sectional Areas of the given rods.
for A,
Cross-sectional Area, A = 1mm²
A = 1 × 10^-6m²
Force, F = 200N
the formula of tensile strength will be,σ = F/A
σ = 200/1×10^-6
σ = 200 × 10^6 N/m²
σ = 200 Mpa
for B,
Cross-sectional Area A = 1mm²
A = 1 × 10^-6m²
Force applied F = 200N
the formula of tensile strength will be,σ = F/A
σ = 200/1×10^-6
σ = 200 × 10^6 N/m²
σ = 200 Mpa
for C,
Cross-sectional Area A = 2mm²
A = 2 × 10^-6m²
Force applied F = 100N
the formula of tensile strength will be,σ = F/A
σ = 100/2×10^-6
σ = 50 × 10^6 N/m²
σ = 50 Mpa
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The relationship of potential energy is that when ____________ increases or ____________ increases, potential energy will increase also.
The relationship of potential energy is that when mass of the object increases or height of the object increases, potential energy will increase also.
What is gravitational potential energy?The energy that an item has or acquires when its location changes as a result of being in a gravitational field is known as gravitational potential energy. Gravitational potential energy can be defined as an energy that has a connection to gravitational force or gravity.
Take two pencils for the most typical illustration to help you grasp the idea of gravitational potential energy. Both are held above the table, with one at the table. We may now assert that the pencil that is higher than the table will have more gravitational potential energy.
Hence; potential energy of an object on earth's surface can be increased by increasing mass of the object and by increasing height of the object.
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for conservative forces, force can be found as being the negative of the derivative of for conservative forces, force can be found as being the negative of the derivative of potential energy. momentum. impulse. kinetic energy. work.
A conservative force negatively affects an object if it pushes the object in the opposite direction of the force. This pulls the body away from the power center.
A force is said to be conservative if the work done by it does not depend on the distance traveled, but only on the starting and ending positions. If the y-component derivative of the force with respect to x is equal to the x-component derivative of the force with respect to y, then the force is a conservative force, the path always taken in the computation of potential energy or work. I get the same result.
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star a and star b have measured stellar parallax of 0.58 arc second and 0.73 arc second, respectively. which star is closer?
Star B is closer than star A, because 1/ 0.58 = 1.72 pc, while 1/.73 = 1.36 pc.
What is stellar parallax and distance measurement using stellar parallax?To calculate the distances to nearby stars, astronomers employ a phenomenon known as parallax. The apparent displacement of an object due to a change in the viewer's point of view is known as parallax. The distances between close stars can be calculated using this phenomenon. A nearer star will seem to move against the farther-off background stars as the Earth revolves around the Sun. By measuring a star's position once, then again six months later, astronomers can establish the apparent shift in location of that star. The apparent motion of the star is referred to as stellar parallax.
A straightforward correlation exists between the distance of a star and parallax angle:
[tex]d=\frac{1}{p}[/tex]
The distance d and parallax angle p are both measured in parsecs and arcseconds, respectively.
Stellar parallax of star A= 0.58 arcseconds
Stellar parallax of star B= 0.73 arcseconds
So, on applying the formula,
The distance of the star A= 1.72pc
And the distance of the star B= 1.36pc
Therefore, star B is closer than star A.
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what is the value of the composite constant (gmer2e) , to be multiplied by the mass of the object mo in the equation above?
Therefore, in the equation above, the mass of the object mo must be multiplied by the composite constant (Gme/r2e), which has a value of 9.7196 m/s2.
What does a definition of mass mean?In physics, mass is a quantitative measurement of inertia, a basic characteristic of all matter. It essentially refers to a body of matter's resistance to changing its speed or location in response to the force applied. The change caused by an applied force is smaller the more mass a body has.
For this particular issue, the solution were as follows:
(G Me Mo) / Re2 = F
(G Me) / Re2 = F / Mo
G is equal to 6.67384 * 10-11 m3 kg-1 s-2, or gravitational constant.
Me = 5.972 * 10^24 kg
Re^2 ≈ (6.38 * 10^6)^2 m^2 ≈ 40.7044 * 10^12 architects = 4.07044 * 10^fourteen m^2
G Me/Re2 = (6.67384*10-11*5.972*1024)/(4.0704*1013) = 9.7196 m/s2.
Gravitational acceleration is 9.7196 m/s2.
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A 15.0-cm-long solenoid with radius 0.750 cm is closely wound with 600 turns of wire. The current in the windings is 8.00 A. Compute the magnetic field at a point near the center of the solenoid.
The magnetic field at a point near the center of the solenoid is equal to
4.02 x [tex]10^{-2}[/tex] Tesla
How do you calculate the magnetic field at the centre of a solenoid?A solenoid's magnetic field may be calculated using the formula B = 0 nl.The magnetic constant, 0 in the formula, has a value of 4 x 10-7 Hm-1 or 12.57 x 10-7 Hm-1. N in the formula stands for the number of turns, while I in the formula stands for the current flowing through the solenoid.It is discovered that there is no magnetic field close to the solenoid's center when it is held close to the sheet with its axis parallel to its breadth.B = μoIN / L is the equation for the magnetic field of a solenoid. N is the number of turns the solenoid has. I translates to coil current.Given details :
Length = 15.0 cm to m = 0.15 m.Radius = 0.750 cm.Number of turns = 600 turns.Current = 8.00 A.Mathematically, the magnetic field at a point near the center of the solenoid is given by this formula:
B = μoIN / L
Where:
is the vacuum permeability.N is the number of turns.L is the length.I is the current.Substituting the given parameters into the formula, we have;
B = [tex]\frac{4\pi * 10^{-7} * 600*8.00}{0.15}[/tex]
B = 4.02 x [tex]10^{-2}[/tex] Tesla
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A classic mind-bender: if a ball is dropped from rest from an elevated position at the same instant that a second ball is launched horizontally (from the same height), then which ball will hit the ground first? assume the balls behave as projectiles.
If a ball is dropped from an elevated position and at the same time and same height, a second ball is launched horizontally, then both ball will hit the ground together. It can happen because the only force act to both balls vertically is only gravity force.
In this experiment, although both balls have very different horizontal velocities, but it does not affect the vertical motion. Both balls start with zero vertical velocity, and accelerate at the same rate of gravity.
What is gravity?Gravity is a force that pulling together all matter. The more matter, the more gravity, so anything that have such a lot of matter like planets, moons, or stars pull more strongly. Gravity also affected by the mass of the objects and distance between objects.
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what is the moment of inertia of the object starting from rest if it has a final velocity of 5.3 m/s? express the moment of inertia as a multiple of mr2 , where m is the mass of the object and r is its radius.
The moment of inertia is I = 0.126*R^2*M
Then We can calculate the moment of inertia of an object that starts from rest and also has a final velocity using the energy conservation equation.
Then Ek1 + Ep1 is = Ek2 + Ep2, where
After that Ek1 is = the kinetic energy of the object before rolling down
Now Ep1 is = potential energy of the object
Then Ek2 is = kinetic energy when the object comes down
After that Ep2 is = the potential energy of the object at the bottom.
Now We have the following:-
Then Ek1 = 0
Ep1 = M*g*h
After that Ek2 = ((I*w)/2) + ((M*v^2)/2)
Then Ep2 = 0
Now we Replacing values is:
That is 0 + M*g*h = ((I*w)/2) + ((M*v^2)/2) + 0
where:
M is = mass of the object
g is = gravitational acceleration
I is = moment of the inertia
w is = angular velocity = v/R
h is = height
M*g*h is = ((1/2) * I * (v^2/R^2)) + ((M*v^2)/2)
M*9.8*2 is = (I*(5.9^2)/(2*R^2)) + ((5.9^2 * M)/2)
19.6 * M is = ((17.4*I)/R^2) + 17.4*M
Now We mention Clearing I, we have:
Therefore, I am = 0.126*R^2*M
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am radio station broadcasts at a frequency of 887 khz using a 520 kw antenna. how many photons per second does this antenna emit?
The number of photons emitted by the antenna was 78.47x 10^-31 photons per second
define photon?
A photon is an elementary particle that is a quantum of the electromagnetic field, including electromagnetic radiation like as light and radio waves, and the electromagnetic force's force carrier. Because photons have no mass, they always travel at the speed of light in vacuum, which is 299792458 m/s (or around 186,282 mi/s). The photon belongs to the boson class.
n=P/E
E=hf
=6.626x10^-34x10^6
=6.626x10^-28
n=520x10^3/6.626x10^-28
=78.47x10^31 photons per second
therefore the number of photons emitted by the antenna was =78.47x10^31
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what is the smallest radius of an unbanked (flat) track around which a bicyclist can travel if her speed is 29 km/h and the uw, between tires and track is 0.32?
The smallest radius of an unbanked track around which a bicyclist can travel with a speed of 29km/h is 20.66m.
The maximum velocity with which we can travel on a unbanked road is given by,
V = √(urg)
Where you is the coefficient of friction,
R is the radius of the track,
g is the acceleration due to gravity.
Here it is given that the bicyclist travel with the speed of 29km/h and the coefficient of friction between the tyre and the track is 0.32.
Speed = 29km/h = 8.05 m/s.
So, putting the values, we get,
(8.05)² = r(9.8)(0.32)
r = 20.66m.
So, the smallest radius of an unbaked tract is 20.66 m.
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. a boat floating in fresh water displaces 16,000 n of water. how many newtons of saltwater would it displace if it floats in saltwater of specific gravity 1.17
13954 Newtons of the saltwater will be displaced by the boat if it float on the saltwater.
The boat floating in the fresh water displaces 16000N.
We know, the weight of the liquid displaced by the boat is equal to the buoyancy of the boat.
So,
B = 16000N.
When the boat is put into the saltwater, its buoyancy will be,
B = Vpg
Where,
V is the volume of the saltwater displaced,
p is the density of the saltwater,
g is the acceleration due to gravity.
Putting values,
16000 = V(1.17)(9.8)
V = 1395.4 m³.
The weight of the saltwater will be,
Weight = 1395.4 x 10
Weight of the water displaced 13954 Newtons.
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How will the potential energies of the object and the spring compare after the distances are doubled? the gravitational potential energy of the object will be two times greater than the elastic potential energy of the spring. The elastic potential energy of the spring will be four times greater than the gravitational potential energy of the object. The elastic potential energy of the spring will be two times greater than the gravitational potential energy of the object. The potential energies will remain equal to one another.
The correct answer is The elastic potential energy of the spring will be two times greater than the gravitational potential energy of the object.
The formula for Gravitational potential energy is= mgh where
m=mass
g= 9.8
h=height.
On the other hand the formula for Elastic potential energy is (1/2)KX^2
where K is the spring constant and x is the displacement of the string. By changing the values of H and X, we will see elastic potential energy will remain more.
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The answer is C. The elastic potential energy of the spring will be two times greater than the gravitational potential energy of the object.
A student determines the average speed of a bubble rising through a liquid at constant speed. When the student starts the stopwatch the bubble is at position P.
After 2.0 s the bubble is at position Q.
What is the speed of the bubble between P and Q?
The speed of the bubble between P and Q, given that the time required is 2.0 seconds, is 3.7 cm/s
How do I determine the speed of the bubble?We know that speed is defined as the distance travelled per unit. It can be expressed as:
Speed = distance / time
First, we shall determine the distance between P and Q. This is given below:
Location of P = 25.70 cmLocation of Q = 18.30 cmDistance =?Distance = 25.70 - 18.30
Distance = 7.40 cm
Finally, we shall determine the speed of the bubble. Details below:
Distance = 7.40 cmTime = 2.0 secondsSpeed of bubble =?Speed = distance / time
Speed = 7.40 / 2
Speed = 3.7 cm/s
Thus, the speed of the bubble is 3.7 cm/s
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Missing part of question:
See attached photo
a convex mirror has the focal length with magnitude equal to 0.375 m. an object is place 0.431 m in front of the mirror. what is the magnification of the image (answer sign and magnitude)?
The magnitude of the image of the convex mirror is 4.98m.
Convex mirror:
Convex Mirror is a curved mirror where the reflective surface bulges out toward the light source. This bulging-out surface reflects light outwards and is not used to focus light.
Here the focal length is 0.375m and object place is 0.431m.
We have to find the magnitude of the image.
We have the formula for mirror:
1/v + 1/u = 1/f
u = - 0.431
f = 0.375
So 1/v = 1/f - 1/u
= 1/ 0.375 - 1/(- 0.431)
= 1/0.375 + 1/0.431
= 0.806/ 0.1616
= 4.98m
Therefore we get the magnitude of image as 4.98m.
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find the mass and center of mass of the lamina bounded by the graphs of the equations for the given density. y
Bar x = frac M y M = 4 gives the xx-coordinate of the center of mass as x = MY/M y = 4.
What are a mass and an example?The quantity of substance present in any item or body serves as the best definition of mass. We see mass in everything around us. For instance, objects like a table, chair, bed, football, glass, or even air have mass. All items have mass, which determines whether they are light or heavy.
What does mass in force mean?Force is equal to mass multiplied by acceleration for a fixed mass. F = ma is how this is expressed mathematically. m stands for mass, F for force, and a for acceleration. This involves some straightforward math. If the force is doubled, the acceleration is also doubled; however, if the mass is doubled, the acceleration is cut in half.
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A hamster in a ball begins its journey 5 feet to the left of a refrigerator, travels 20 feet to the right of the refrigerator, and ends its journey directly in front of the refrigerator. If negative values are assigned to positions to the left of its starting position and positive values are assigned to positions to the right of its starting position, what is the displacement of the hamster?.
The displacement of the hamster is -5 feet.
In this case, we know that the hamster in the ball starts moving 5 feet to the left of the refrigerator walks 20 feet to the right of the refrigerator, and ends just in front of the refrigerator.
In fact, all quantities in physics can be divided into vector quantities and scalar quantities. A vector quantity has both magnitude and direction, while a scalar quantity has only magnitude and no direction. Vectors are indicated using directional designations in bold and arrows written above the vectors as is known. Note that displacement is related to the distance moved in a particular direction.
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Two waves have the same frequency. What other characteristic must be the same for these waves?.
The wave characteristic that is the same for both waves is wavelength.
Two waves with the same frequency will also have the same wavelength, amplitude, speed, and period. When two waves are travelling at the same frequency, it denotes that their duration and amplitude are also the same.When two waves of the same frequency and amplitude interfere constructively, their peaks and troughs align as shown in diagram A above. As a result, the original waves' amplitude is doubled, resulting in a sound wave that is twice as loud.Thus, Equal frequencies are shared by two waves moving through the same region in the same direction.
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A shipping container will be used to transport several 130-kilogram crates across the country by rail. the greatest weight that can be loaded into the container is 25500 kilograms. other shipments weighing 12100 kilograms have already been loaded into the container. which inequality can be used to determine cc, the greatest number of 130-kilogram crates that can be loaded onto the shipping container?
Answer:
below
Explanation:
130 x < = 25500 - 12100
130 x <= 13400
x <= 103
a particle traveling around a circle at constant speed will not experience an acceleration. group of answer choices true false
The statement is false. A particle traveling around a circle at constant speed will definitely experience an acceleration.
What is tangential acceleration?An object in constant circular motion is actually accelerating. It accelerates because the direction of the velocity vector changes. To explain this, it is necessary to consider that acceleration is necessary to describe a circular trajectory when a particle undergoes a change in direction of velocity that is characteristic of circular motion.
Since the speed is constant, the tangential acceleration of the body is zero. However, because its velocity is constantly changing, there is an acceleration called centripetal acceleration that always points towards the center of its orbit.
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(figure 1) shows a bar magnet being pushed toward a conducting loop from below, along the axis of the loop.
There are two varieties of bar-shaped rectangular magnets.
What different types of rectangular bar magnets are there?Cylindrical bar magnets and rectangular bar magnets are the two varieties of rectangular magnets that resemble bars.A strong magnetic field can be created by either kind of bar magnet.The term "rod magnet" also refers to a cylindrical bar magnet.Current induction occurs in the coil as a result of an increase in current and magnetic field.Lenz law states that the coil induces current in an anticlockwise direction.The resultant force on a loop in a constant magnetic field is zero.As shown, one can define a magnetic moment of direction and magnitude IA.In a magnetic field with a magnetic moment pointing to the left, a current loop exists that decreases in magnitude to the right.To learn more about rectangular bar magnets refer to:
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when the angle of inclination of the inclined plane increases, what will happen to the acceleration along the inclined plane?
When there is acceleration along the inclined plane then accelerations increase as incline angles increase.
angle of inclination :
The angle between a line's inclination and the x-positive axis's direction is known as the inclination.This angle's value ranges from 0° to 180°.It is measured counterclockwise around the positive x-axis direction.The force component parallel to the incline rises as the angle increases, while the force component perpendicular to the incline falls. The acceleration is brought on by the parallel portion of the weight vector.
Therefore, accelerations increase as incline angles increase.
When there is acceleration along the inclined plane then accelerations increase as incline angles increase.
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when glasses (or contact lenses) are used to correct farsightedness, where should the corrective lens form an image of an object located between the eye and the near point in order for the eye to form a clear image of that object?
when glasses (or contact lenses) are used to correct farsightedness the lens should form the image at the near point.
What do you mean by farsightedness?With farsightedness (hyperopia), a common visual issue, you may be able to see far objects clearly but have hazy vision of nearby items.
Your capacity to focus is influenced by how farsighted you are. Others with severe farsightedness might only be able to see objects that are far away clearly, but people with mild farsightedness might be able to see objects that are nearby clearly.
The tendency to be farsighted is typically present at birth and runs in families. Glasses or contact lenses make it simple to treat this disease. Surgery is yet another remedy.
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what happens to a light wave that travels through glass and strikes a boundary with water at a 45 angle
you set the cylinder and hold it at rest at the top of the ramp. how much total energy (in j) does the block have at the top of the ramp?
The energy is only potential energy at the top of the ramp., which is U=1.14J.
Potential energy is the energy stored in the body due to its position or configuration.
We know that potential energy U =mgh
where,
m is mass
g is gravity
h is height
also,
h =lsin15
l = 1m
so the energy is
U=mgh
U= 0.450 * 9.8 * 0.2588
U = 1.14J
Since there is no friction, hence all the total energy at the top, which is purely potential, gets converted to fully kinetic energy at the bottom.
Hence, at the bottom the total energy is
U = 1.14J
This is because of the principle of energy conservation, when there are no resistive forces, the energy remains conserved.
Thus, the total energy at the top is U=1.14J
With no friction, the total energy at the bottom is U = 1.14J.
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determine the displacement of an airplane that experiences uniform acceleration from 66 m/s to 88 m/s in 12 s
The displacement of a plane that is uniformly accelerated from 66 m/s to 88 m/s in 12 s is 131.76 m.
Briefing :There are three equations that correlate displacement to two of the other three parameters we use to describe motion: time, velocity, and acceleration when acceleration is constant.
Equation :Firstly, the distance for uniformly accelerating motion can be found by multiplying the average velocity by the time.
d=[tex]\frac{1}{2}[/tex][tex](v_{f} + v_{i} )[/tex][tex](t)[/tex]
The second equation that relates displacement, time, initial velocity, and final velocity is generated by substituting this equation into equation 1.
[tex]v_{i} t+\frac{1}{2} at^{2}[/tex]
The third equation is formed by combining 1 and 2. If we solve the first equation for t and then substitute it into the second equation, we get
[tex]v_{f} ^{2} =v^{2} _{i} + 2ad[/tex]
which gives us when simplified:
[tex]d=\frac{1}{2} at^{2}[/tex]
So from the question,
[tex]v_{f} =v_{i} +at\\88=66+12a\\12a=88-66\\12a=22\\a=\frac{22}{12} \\a=1.83 m/s^{2} \\[/tex]
Then we substitute the value of a into the final equation,
[tex]d=\frac{1}{2}at^{2}\\ d= \frac{1}{2}1.83*12^{2} \\d= \frac{263.52}{2} \\d=131.76 m[/tex]
Therefore the displacement is 131.76m.
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51. | A 5.0 kg wooden sled is launched up a 25° snow-covered
slope with an initial speed of 10 m/s.
a. What vertical height does the sled reach above its starting point?
b. What is the sled's speed when it slides back down to its start-
ing point?
(a) The vertical height the sled reached above its starting point is 0.91 m.
(b) The sled's speed when it slides back down to its starting point is 18.43 m/s.
What is the maximum height reached by the sled?
The maximum height reached by the sled is calculated by applying the following kinematic equation as follows;
H = u²sin²θ/2g
where;
u is the initial velocity of the sled;θ is the angle of projectiong is acceleration due to gravityH = (10² x (sin 25)²) / (2 x 9.8)
H = 0.91 m
The sled's speed when it slides back down to its starting point can be calculated by applying the following equation;
The time of flight of the sled is calculated as;
t = 2u sinθ / g
t = (2 x 10 x sin25) / 9.8
t = 0.86 s
The final velocity of the sled is calculated as;
v = u + gt
v = 10 + 9.8(0.86)
v = 18.43 m/s
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Expansionary monetary policies would likely cause
farmland prices to increase due to rising interest
rates resulting from a crowding-out effect in credit
markets.
True or false
Answer:
TRUE
Explanation:i've seen one and please make me the brainlest
Which of the following quantities is conserved in chemical reactions?
A. number of molecules
B. number of particles
C. number of atoms
D. number of moles
the left side of the heart creates a pressure of 123123 mm hg by exerting a force directly on the blood over an effective area of 16.516.5 cm2. what force does it exert to accomplish this?
The Heart applies a force of 6.7 Newton over an effective area of 16.5cm² to achieve a pressure of 123mm of Hg.
The pressure that heart creates is 123mm Hg.
We know, 760 mm Hg = 10⁵ Pascals.
1 mm Hg = 10⁵/760 Pascals.
So, 123 mm Hg will be 123 x 10⁵/760 Pascals.
The effective area of the blood is 16.5 cm².
So, area = 16.5 x 10⁻⁴ m².
Force applied by the heart = Pressure x area
Force = 123 x 10⁵/760 x 16.5 x 10⁻⁴
Force = 26.7 N.
The force applied by the heart is 26.7 N.
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it is moving day and you are in a hurry! you drop a fridge from a height of 75.0m out a window. a stool is thrown down from the same height 0.091s later if both objects hit the ground at the same time what was the initial
Answer:
Explanation:
Given:
H = 75 m
Δt = 0.091 s
g =9.81 m/s²
_________
V₀ - ?
Assume that the stool fell freely, then the time of its fall:
H = g·t²/2
t = √ (2·H / g) = √ (2*75 / 9.81) ≈ 3.910 s
The refrigerator was thrown down with initial speed and fell:
t₁ = t - Δt = 3.910 - 0.091 ≈ 3.82 s
Find the initial chip of the refrigerator:
H = V₀·t₁ + g·t₁²/2
V₀·t₁ = H - g·t₁²/2
V₀ =H / t₁ - g·t₁ / 2
V₀ = 75 / 3.82 - 9.81·3.82 / 2 ≈ 0.90 m/s
So, at first, the stool is simply released from the hands, and the refrigerator is thrown down with the initial speed 0.90 m/s
An atom has 11 protons, 10 electrons and 13 neutrons. Is this a cation or an anion?.
An atom has eleven protons, 10 electrons, and thirteen neutrons. that is an anion.
Every atom includes a nucleus and one or greater electrons positive to the nucleus. The nucleus is manufactured from one or extra protons and some of neutrons. most effective the maximum not unusual form of hydrogen has no neutrons. each strong, liquid, gas, and plasma consists of neutral or ionized atoms. An atom is any particle of matter at its maximum simple degree which incorporates as a minimum one proton. proper here are some examples of the atoms: hydrogen (H) and neon (Ne).
An atom is the smallest unit of detail. In an atom, subatomic debris like protons and neutrons are in the extranuclear aspect. Atoms be part of together to form molecules. A water molecule has 3 atoms: hydrogens (H) atoms and one oxygen (O) atom. it actually is why water is on occasion known as H2O. A single drop of water includes billions of water molecules.
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