Given
distance of the object u = -40 cm.
radius of curvature of the refracting surface R = -20 cm.
The height of the object h = 1 cm.
To Find
The size of the image
Solution
We will now write the following data using the sign convention:
The object's distance is u = -40 cm.
The refracting surface has a radius of curvature of R = -20 cm.
The object's height is h = 1 cm.
We know that the lens maker formula is: n2vn1u=n2n1R.
v denotes the image formation distance.
The refractive index of the second medium is n2=1.33, and the refractive index of the first medium is n1=1.
In the preceding equation, we will now substitute the known values.
1.33v−1−40cm=1.33−1−20cmv=32.05cm
We know that the magnification ratio can be expressed as vu=Hh.
H denotes the height of the created image.
We'll now swap the given and obtained values.
⇒32.05cm divide by 40cm=H divide by 1cm
⇒H=0.6cm
As a result, the best choice is (B).
Further information: The rules of reflection apply to reflection from a concave mirror. The normal to the point of incidence is drawn along the radius of the mirror, that is, by connecting the point of incidence to the centre of curvature.
The development of an image in a concave mirror is mostly determined by the distance between the object and the mirror. The concave mirror produces both real and virtual images. A virtual and magnified picture is generated when the object is placed very close to the mirror.
The complete question is -
Find the size of the image formed in the situation shown in figure.
photo
A) 0.5 cm
B) 0.6 cm
C) 1.2 cm
D) 1 cm
Learn more about scales at
brainly.com/question/25324744
A student performs an experiment in which a 4kg object travels across a horizontal surface with an initial speed velocity of 6m/s and a 2kg object travels across a horizontal surface with an initial speed velocity of −3m/s. The objects travel toward each other and collide. Data collected from the experiment were used to create the velocity versus time graph shown that contains information about both objects before and after the collision. The positive direction is considered to be to the right. Which of the following statements are true regarding the data from the experiment?
A- Both objects always travel in the positive direction during the experiment.
B- Kinetic energy is conserved during the experiment.
C- The position of the center of mass of the system remains constant during the experiment.
D- The velocity of the center of mass of the two-object system remains constant during the experiment.
The position of the center of mass of the system remains constant during the experiment.
Conservation of linear momentumThe principle of conservation of linear momentum states that the total momentum of the system before after collision is always conserved for both elastic and inelastic collision.
\(m_1 u_1 + m_2 u_2 = m_1 v_1 + m_2 v_2\ \ (elastic)\\\\m_1 u_1 + m_2 u_2 = v(m_1 + m_2 ) \ (inelastic)\)
Conservation of kinetic energyThe total kinetic energy of the system is conserved for perfectly elastic collision BUT not conserved for inelastic collision.
The center mass of the system
The center mass of the system is always constant.
Thus, the position of the center of mass of the system remains constant during the experiment.
Learn more about elastic and inelastic collision here: https://brainly.com/question/7694106
Find the acceleration due to gravity on planet Fergie which has a mass of 6.23 * 10^23 kg and a radius of 5.79* 10^7 m
Answer:
The acceleration due to gravity on the planet Fergie is 0.0123 m/s^2.
Explanation:
We want to find the acceleration due to gravity on the planet Fregie. Let it be g m/s^2.
Now, the acceleration due to gravity is defined through the following equation:
\(mg = GMm/R^2\)
where m is the mass of an object on the surface of the planet, M is the mass of the planet, R is the radius of the planet, and G is the universal Gravitational constant.
Subsituting values for M = 6.23*10^23, R = 5.79*10^7, G = 6.67*10^(-11), we get
g = 0.0123 m/s^2.
Thus the acceleration due to gravity on the planet Fergie is 0.0123 m/s^2.
To know more about the acceleration due to gravity, see
https://brainly.com/question/88039
A double pane window has a layer of Argon gas trapped in between the two panes of glass. How doesthis technology help insulateyour house?A:Glass and gas are both good insulators, and they allow thermal energy to enter/leave your house easily.B:Glass is a poor insulator, but gas is a good insulator, so the trapped gas slows the transfer of thermal energy through the windowC:Glass and gas are both good conductors, and they allow thermal energy to enter/leave your house easily
The Argon gas trapped between the glass panes to slow the transfer of heat, which insulates the room from the outside heat in the summer and insulates the heat of the room or traps the heat inside the room in the winter.
As the Argon gas is slow-moving gas than the air, thus, the transfer of heat slowly takes place. Thus, Argon gas is a poor conductor or a good insulator.
The gas trapped in between the glass panes contains moisture, that can condense and make the glass panes appear cloudy.
Thus, by adding the Argon gas between the glass panes, the thermal insulation efficiency increases.
Hence, option B is the correct answer.
Philosophy: The Big Picture Unit 8
Would an existentialist argue that the study of philosophy was a good use of a life?
A. Yes, if society valued the results of the study.
B. Yes, but only if the individual found it meaningful.
C. No, a life should be spent minimizing the role of anxiety.
D. No, there is no way that philosophy could create a meaningful life.
Compare the rate of loss of heat from a metal sphere at 827°C with the rate of loss of heat from the same sphere at 427°C,if the temperature of the surrounding is 27°C
Answer:
The rate of heat loss from the metal sphere at 827°C is twice the rate of heat loss from the same sphere at 427°C.
Explanation:
The rate of heat loss from an object can be determined using Newton's law of cooling, which states that the rate of heat loss is proportional to the temperature difference between the object and its surroundings. Mathematically, this is expressed as...
\(Q = k \Delta T\)
Where...
"Q" is the heat loss/gain"k" is the constant of proportionality which is the cooling constant "ΔT" is the change in temperature\(\hrulefill\)
For the sphere at 827°C:
\(\Delta T_1= 827\°C - 27\°C \\\\\Longrightarrow \boxed{\Delta T_1=800\°C}\)
For the sphere at 427°C:
\(\Delta T_2= 427\°C - 27\°C \\\\\Longrightarrow \boxed{\Delta T_2=400\°C}\)
Assuming that the cooling constant k remains constant, we can compare the rates of heat loss.
\(\dfrac{Q_1}{Q_2} =\dfrac{\Delta T_1}{\Delta T_2}\\\\\Longrightarrow \dfrac{Q_1}{Q_2} =\dfrac{800\textdegree C}{400\textdegree C} =\boxed{2}\)
Thus, the rate of heat loss from the metal sphere at 827°C is twice the rate of heat loss from the same sphere at 427°C when the temperature of the surroundings is 27°C.
A step down transformer with an input voltage of 220V decreases the voltage to half of the input .There is a current flowing of 15A in the primary coil. Find the output current
The output current for the given step down transformer is 30A.
What is the step down transformer?
A step down transformer is a passive device that converts high voltage power to low voltage power, while the output current is higher than the input current. They are used in power adaptors and rectifiers to decrease the voltage to the desired level. It works according to Faraday's law of Electromagnetic induction.
The current in the windings of a step down transformer is inversely proportional to the voltage in windings as:
Input voltage / Output voltage = Output current / Input current
220 / 110 = Outout current / 15
Output current = 30A
Hence, the output current (30A) obtained is higher than the given input current (15A).
Learn more about step down transformer here:
https://brainly.com/question/14929231
#SPJ1
Which one of the following is not a part of the Particle Theory?
1 All matter is made of particles
2 particles move faster when cooled
3 particles move faster when heated
4 particles are attracted to each other
The only option that is not a part of the particle theory is, particles move faster when cooled.
What is particle theory of matter?The particle theory of matter states that all matter consists of tiny particles which are in state of constant motion, colliding with one another and with of the containing vessel.
These theory can be summarized as;
All matter is made of particlesParticles move faster when heatedParticles are attracted to each otherThus, the only option that is not a part of the particle theory is, particles move faster when cooled.
Learn more about particle theory of matter here: https://brainly.com/question/11155407
what is the angle between 3i-2j-3k and the negative x axis
Answer:
Um its the vbuck card on the 3 thrid level
Explanation:
Bc its a vbuck card you know sihdg;aig
why fan videos be streamed from the cloud to a computer with no lost quality
Videos can be streamed from the cloud to a computer with no loss in quality because Digital signals are used to transmit data to and from the cloud.
How do digital signals work?
An established or one that represents data as a step made up of discrete values is known as a digital signal. There is no noise produced by digital signals. Electronic signals sent as pulses are used to transmit digital signals to computers. These signals can be found in things like digital phones and computers.
Because digital signals are used to transport data to and from the cloud, it should be noted that videos are said to stream from the cloud to a computer without quality degradation.
Videos can be streamed from the cloud to a computer with no loss in quality because Digital signals are used to transmit data to and from the cloud.
To know more about Digital signals, check out:
https://brainly.com/question/28160561
#SPJ1
What is the powder taking the shape of?
The magnetic field
The poles
A snowman
A star
The powder takes the shape of a magnetic field.
What is the particle shape of powder?Powder morphology is connected to the shape and size of powder particles and is strongly dependent on the manufacturing methods. For example, mechanical alloying/mechanical milling leads to unevenly shaped powder particles, while gas dissipation leads to spherically shaped particles.
Atomized metal powder particles come in two basic particle shapes: those that are almost superbly round called spherical, and those that have lopsided, rounded shapes, called spheroidal.
So we can conclude that Powders are a group of particles of different sizes.
Learn more about powder here: brainly.com/question/20628766
#SPJ1
A box of mass 20kg rests on a flat horizontal floor. if the density of air is negligible. Draw a diagram showing forces acting on the box
What could be done to change this carbide ion to a neutral carbon atom?
remove 2 electrons
add 2 electrons
remove 4 electrons
add 4 electrons
Match the elements with the number of neutrons. (4 points)
1.
88 38 Sr
2.
39 19 Ka
3.
14 6 Carbon
4.
234 90 Thorium plus 4 2 Helium
a.
20
b.
50
c.
8
d.
74
The following elements are matched with their number of neutrons
1. 88 38 Sr - b. 50
2. 39 19 Ka - a. 20
3. 14 6 Carbon - c. 8
4. 234 90 Thorium plus 4 2 Helium - d. 74
To determine the number of neutrons for each element, we need to subtract the atomic number (which represents the number of protons) from the mass number (which represents the total number of protons and neutrons).
1. 88 38 Sr:
The atomic number of strontium (Sr) is 38, which means it has 38 protons. The mass number is 88. Subtracting the atomic number from the mass number: 88 - 38 = 50. Therefore, the number of neutrons in strontium is 50.
2. 39 19 Ka:
The atomic number of potassium (K) is 19, indicating 19 protons. The mass number is 39. Subtracting the atomic number from the mass number: 39 - 19 = 20. Hence, the number of neutrons in potassium is 20.
3. 14 6 Carbon:
The atomic number of carbon (C) is 6, representing 6 protons. The mass number is 14. Subtracting the atomic number from the mass number: 14 - 6 = 8. Thus, the number of neutrons in carbon is 8.
4. 234 90 Thorium plus 4 2 Helium:
The atomic number of thorium (Th) is 90, which means it has 90 protons. The mass number is 234. Subtracting the atomic number from the mass number: 234 - 90 = 144. However, there is also an additional helium (He) isotope mentioned with a mass number of 4 and atomic number of 2. Adding the number of neutrons from thorium and helium: 144 + 2 = 146. Hence, the number of neutrons in thorium plus helium is 146.
For more such questions on elements, click on:
https://brainly.com/question/20096027
#SPJ8
Which number represents runoff on the hydrologic cycle diagram?
1
2
3
4
Answer:
number 3
Explanation:
3 represents runoff
Runoff is the water collected after rainfall that drains from the surface area of land. It will be tricky to choose 4 which is likely a smaller waterbody draining to a bigger waterbody
hope it helped
A jump ball in the center of the court is used to start a game
Question 1 options:
True
False
Question 2 (1 point)
Saved
A personal foul is a player that delays the game, has unsportsmanlike conduct, illegal entry or has excessive timeouts
Question 2 options:
True
False
Question 3 (1 point)
Saved
A offended player is awarded 2 free throws if the foul occurred while attempting to make a basket and the basket was missed
Question 3 options:
True
False
Question 4 (1 point)
A basketball game is played with 5 players from one team against 5 players from another team
Question 4 options:
True
False
Question 5 (1 point)
The height of the basket is:
Question 5 options:
9 ft.
11 ft.
10 ft.
8 ft. 6 in.
What is the symbol F g mean
Answer:
Disambiguation
Explanation:
Fg is an abbreviation used in physics to describe the amount of force exerted by gravity on an object, normally represented in units such as the newton.
Answer:Gravitational forces
Explanation:Is used in physics, used when asked to calculate the the force attracted to the nucleus
A car with a mass of 1,200 kg experiences a breaking force of 720 N. What acceleration does the car experience? If the car was travelling at 20 m/s when the braking force started, how long will it take for the car to come to rest?
Answer:
See below
Explanation:
You probably know
F = ma then
a = F/m = 720/ 1200 = .6 m/s^2
since it is a BRAKING force , the acceleration will be negative
= - .6 m/s^2
vf = 0
vf = vo + at
0 = 20 + (-.6)t shows t = 33 1/3 seconds
A car starts at a position of 1 km and moves to a final position of -3 km. What is the total distance traveled by the car?
The total distance covered by the car is 4 kilometers, this is because we are taking into account displacement and not just distance.
What is displacement?Displacement is defined as the change in the position of an object while distance is an object's overall movement in a directionless fashion.
There are many different units that can be used to measure distance (inches, feet, miles, kilometers, and centimeters), but the meter is the SI unit. It is a scalar amount because it does not consider
On the number line, we can see the movement as follows
1 0 -1 -2 -3= 4km
Distance is always positive and never gets smaller as you move. Displacement can be negative, positive, or zero because it refers to the change in the position of an object with respect to its original location.
Learn more about displacement here:
https://brainly.com/question/14422259
#SPJ!
Which is one property of coal that makes it ideal for use in a power plant?
It burns easily.
It makes ash.
It is renewable.
It contains mercury.
Answer:
It burns easily & It produces a lot of energy
Explanation:
Coal burns easily and thus is ideal for use in a power plant.
• To generate electric power in the United States, the main fuel used is coal.
• It is used as it is burned easily and thus producing enormous amount of energy.
• In the power plants, the lignite, bituminous coal, or subbituminous coal is burned.
• The heat generated by the burning of the coal is used to transform water into high pressure steam that mediates a turbine, which generates electricity.
• About 23 percent of the electricity in the United States is produced by the burning of coal.
Thus, the correct answer is that coal burns easily.
To know more about:
https://brainly.com/question/3715778
A student throws a 0.1 kg dart at an angle of 20° to the horizon. Then the student changes the throwing angle. Which angle
will maximize the distance the dart will travel before it returns to its original height?
Answer:
The student must change the launch angle from 20º to 45º to maximize the horizontal distance.
Explanation:
The dart experiments a parabolical motion, which is the combination of horizontal uniform motion and vertical uniform accelerated motion due to gravity, in which effects from air friction and Earth's rotation can be neglected. The equations of motion are described below:
\(x = x_{o}+v_{o}\cdot t \cdot \cos \theta\) (1)
\(y = y_{o}+v_{o}\cdot t\cdot \sin \theta +\frac{1}{2}\cdot g\cdot t^{2}\) (2)
Where:
\(x_{o}\), \(y_{o}\) - Initial coordinates of the dart, measured in meters.
\(x\), \(y\) - Current coordinates of the dart, measured in meters.
\(v_{o}\) - Initial velocity of the dart, measured in meters per second.
\(g\) - Gravitational acceleration, measured in meters per square second.
\(t\) - Time, measured in seconds.
\(\theta\) - Launch angle, measured in sexagesimal degrees.
According to the statement, we need to determine the launch angle when \(\Delta x = x-x_{o} > 0\), \(\Delta y = y-y_{o}= 0\) and \(v_{o} > 0\). Then, we obtain the following system of linear equations:
\(\Delta x = v_{o}\cdot t \cdot \cos \theta\) (1b)
\(v_{o}\cdot \sin \theta + \frac{1}{2}\cdot g \cdot t = 0\) (2b)
By (2b), we clear time as follows:
\(t = -\frac{2\cdot v_{o}\cdot \sin \theta}{g}\)
And it is applied in (1b) afterwards:
\(\Delta x = -\frac{2\cdot v_{o}^{2}\cdot \sin\theta \cdot \cos\theta}{g}\)
\(\Delta x = -\frac{v_{o}^{2}\cdot \sin 2\theta}{g}\) (3)
Where \(\Delta x\) is the horizontal distance, measured in meters.
In order to determine the launch angle such that distance is maximized, we require the first and second derivatives of the function. That is:
First derivative
\(\Delta x' = -\frac{2\cdot v_{o}^{2}\cdot \cos 2\theta}{g}\) (4)
Second derivative
\(\Delta x'' = \frac{2\cdot v_{o}^{2}\cdot \sin 2\theta}{g}\) (5)
By equalizing (4) to zero, we find the following trigonometric equivalence:
\(\cos 2\theta = 0\)
\(2\cdot \theta = 90^{\circ}\)
\(\theta = 45^{\circ}\)
A launch angle of 45º is a critical point of (3). If we know that \(g< 0\) and \(\theta = 45^{\circ}\) in (5), then \(\Delta x'' < 0\), which means that critical point determined above leads to a maximum distance. Then, the student must change the launch angle from 20º to 45º to maximize the horizontal distance.
A charge +Q is located at the origin and a second charge, +4Q, is at distance (d) on the x-axis.
a. Where should a third charge, Q , be placed, so that all three charges will be in equilibrium? Express your answer in terms of d.
b. What should be its sign, so that all three charges will be in equilibrium?
c. What should be its magnitude, so that all three charges will be in equilibrium? Express your answer in terms of Q.
Answer:
a) x = ⅔ d , b) the charge must be negative, c) Q
Explanation:
a) In this exercise the force is electric between the charges, we are asked that the system of the three charges is in equilibrium, we use Newton's second law. Balance is on the third load that we are placing
∑ F = 0
-F₁₂ + F₂₃ = 0
F₁₂ = F₂₃
let's replace the values
k Q Q / r₁₂² = k Q 4Q / r₂₃²
Q² / r₁₂² = 4 Q² / r₂₃²
suppose charge 3 is placed at point x
r₁₂ = x
r₂₃ = d-x
we substitute
1 / x² = 4 / (d-x) 2
1 / x = 2 / (d-x)
x = 2 (x-d)
x = 2x -2d
3x = 2d
x = ⅔ d
b) The sign of the charge must be negative, to have an attractive charge on the two initial charges
c) Q
1. Compare and contrast the SI and the English systems of measurement.
Answer:The SI system is based on the number 10 as well as multiples and products of 10. This makes it much easier to use, and so it has been the accepted system in scientific and technical applications. The English system is more complicated as relationships between units of the same quantity aren't uniform.
Explanation:
Answer:
The metric system is an internationally agreed decimal system of measurement while The International System of Units (SI) is the official system of measurement in almost every country in the world
Can we control motion? Yes or no. Justify you answer.
Answer:
Yes
Explanation:
Yes, we can control the motion.
Motion can be controlled by applying friction which is a force that opposes the motion. For example, if a car is in motion, brakes are applied to stop the motion of the car, this is due to the use of force of friction to convert that kinetic energy into heat.
Hence, the correct answer is "yes".
Can the potential of a non uniform charged sphere be the same as that of a point charge? Explain in details
No. The potential of a non-uniform charged sphere cannot be the same as that of a point charge.
Non-uniform charged sphere as a point chargeThe potential at any point in space is determined by the distribution of charge within the system, and a non-uniform charged sphere has a different charge distribution than a point charge.
A point charge has all of its charges concentrated at a single point, while a non-uniform charged sphere has charge distributed throughout its volume.
As a result, the electric field and potential will be different for these two systems, even if they have the same total charge. Therefore, the potential of a non-uniform charged sphere cannot be the same as that of a point charge.
More on potential and point charge can be found here: https://brainly.com/question/28851859
#SPJ1
Food manufacturers create fats by adding hydrogen to fats?
True, Food manufacturers create fats by adding hydrogen to fats.
What is hydrogenation?Hydrogenation is used in the oil industry in making trans fats or margarine by increasing the melting point through reducing the carbon-to-carbon double bonds..
During hydrogenation, unsaturated fats undergo a chemical reaction in the presence of hydrogen gas and a catalyst, typically nickel.
The process involves the addition of hydrogen atoms to the carbon double bonds in the fatty acid molecules, resulting in the conversion of some of the double bonds into single bonds.
This reduces the number of unsaturated bonds in the fat, making it more saturated.
So we can conclude that the statement is true.
Learn more about Hydrogenation here: https://brainly.com/question/13910028
#SPJ1
which of these galaxies would you most likely find at the center of a large cluster of galaxies?
(a) a large spiral galaxy
(b) a giant elliptical galaxy
(c) a small irregular galaxy.
The galaxies that I would most likely find at the center of a large cluster of galaxies is option (b) a giant elliptical galaxy.
Giant elliptical galaxies: what are they?It is generally accepted that galaxy mergers are what create giant elliptical galaxies. It is also possible for regular elliptical galaxies to form in this way or through the gravitational collapse of an interstellar gas cloud.
Therefore, The majority of elliptical galaxies are made up of older, low-mass stars with sparse interstellar space and little star formation, and they typically have a lot of globular clusters all around them.
Learn more about elliptical galaxy from
https://brainly.com/question/24985948
#SPJ1
A wave has a velocity of 20 m/s and wavelength of 3.6 what the frequency of the wave
The freqency of the wave of wavelength 3.6 m is 5.56 Hz
What is frequency?The frequency of a wave is the ratio of the speed and its wavelength.
To calculate the frequency of the wave, we use the formula below.
Formula:
v = λf........................ Equation 1Where:
v = Speed of the waveλ = Wavelengthf = FrequencyFrom the question,
Given:
v = 20 m/sλ = 3.6 mSubstitute thse values into equation 1 and solve for f
20 = 3.6ff = 20/3.6f = 5.56 HzHence, the freqency of the eave is 5.56 Hz
Learn more about frequency here: https://brainly.com/question/15342679
#SPJ1
The valid digits in a measurement are called the significant digits. True or False
i think
Answer:
physics. The ______ is a systematic way to observe, experiment, and analyze the world. scientific method. The valid digits in a measurement are called the. significant digits.
Explanation:
truth'
A dish of ice cream was left out on a table and is beginning to melt. What conclusions can be made?
Energy is being transferred from the table to the dish of ice cream.
Energy is being created by the dish of ice cream and being released into the table.
Energy is being created by the table, causing the ice cream to melt.
Energy is flowing from the air and the table to the ice cream, which causes the ice cream to melt.
Answer:
Energy is flowing from the air and the table to the ice cream, which causes the ice cream to melt
For the dish of ice cream, energy is flowing from the air and the table to the ice cream, which causes the ice cream to melt.
What is energy transfer?The energy transfer is the process of conversation of the one of energy into the another form. This energy can be transfer from heat energy to mechanical energy or from light energy to electric energy.
Here, the dish of ice cream was left out on a table and is beginning to melt.
As the dish of ice cream is melt, then there is the endothermic process (the process in which the energy is released in the form of light or heat) take place.
As the endothermic process is the process in which the energy is released in the form of light or heat.
Thus, in order to melt the dish of ice cream, it need to absorb the energy by the ice cream to melt. This energy is transferred from the surrounding to the ice cream.
Thus, for the dish of ice cream, energy is flowing from the air and the table to the ice cream, which causes the ice cream to melt. Option D is the correct option.
Learn more about the energy transfer here;
https://brainly.com/question/735974
Analyze the circuit shown below in the figure below.
Solve with an equation(s) from the equation sheet.
The circuit is a series circuit since all of the components are connected in a single path.
The current that flows through each component is the same, and the voltage across each component is proportional to its resistance.
In this circuit, there are two resistors, R1 and R2, and a battery with an electromotive force (EMF) of E.
The voltage across each resistor can be determined using Ohm's law, which states that
V = IR,
where V is the voltage
I is the current
R is the resistance.
The total resistance of the circuit can be calculated using the formula:
R = R1 + R2.
Using Ohm's law, the current in the circuit can be found by dividing the voltage by the total resistance:
I = E / R
The voltage across each resistor can be found using
V1 = IR1 and V2 = IR2.
The total voltage of the circuit is equal to the sum of the voltages across each resistor
V = V1 + V2
Substituting the equations for V1 and V2 into the equation for V, we get;
V = I(R1 + R2)
Thus, we can use the following equations to solve for the different variables in the circuit:
R = R1 + R2
I = E / R
V1 = IR1
V2 = IR2
V = I(R1 + R2)
Using these equations, we can calculate the current, voltage, and power of the circuit.
For such more questions on circuit
https://brainly.com/question/1176850
#SPJ8