1) 10.8 cm, shrunken
2) 19.7 cm
3) 8.8 cm
4) See explanation
Explanation:
1)
A mirror works on the principle of reflection: a ray of light coming from an object is reflected back by the mirror, producing an image of the object.
The position of the image can be found by using the mirror equation:
[tex]\frac{1}{f}=\frac{1}{p}+\frac{1}{q}[/tex]
where
f is the focal length of the mirror
p is the position of the object
q is the location of the image
In this problem:
f = 7 cm is the focal length of the mirror
p = 20 cm is the position of the object
So we can find q from the equation:
[tex]\frac{1}{q}=\frac{1}{f}-\frac{1}{p}=\frac{1}{7}-\frac{1}{20}=0.0929\\q=\frac{1}{0.0929}=10.8 cm[/tex]
The sign of q is positive: this means the image is real.
The magnification of the image is given by
[tex]M=\frac{y'}{y}=-\frac{q}{p}[/tex]
where
y' is the size of the image
y is the size of the object
M is the magnification
Substituting,
[tex]M=-\frac{10.8}{20}=-0.54[/tex]
Which means that he image is shrunken, (because [tex]|M|<1[/tex]), so [tex]y'<y[/tex].
2)
A lens works on the principle of refraction: the rays of light coming from an object are refracted into the focal point of the lens, and they can produce an image of the object.
We can solve the problem by using the lens equation:
[tex]\frac{1}{f}=\frac{1}{p}+\frac{1}{q}[/tex]
where
f is the focal length of the length
p is the position of the object
q is the location of the image
In this problem we have:
q = 51.5 cm is the location of the image
p = 32 cm is the position of the object
Solving for f, we find the focal length:
[tex]\frac{1}{f}=\frac{1}{32}+\frac{1}{51.5}=0.051\\f=\frac{1}{0.051}=19.7 cm[/tex]
3)
In this problem, we know the following data:
[tex]f=+17 cm[/tex] is the focal length (for a converging lens, it is positive)
[tex]y=5.5 cm[/tex] is the height of the object
[tex]y'=13.8 cm[/tex] is the height of the image
[tex]q=-22 cm[/tex] is the location of the image (it is negative because the image is virtual)
From the magnification equation, we can find the position of the object:
[tex]\frac{y'}{y}=-\frac{q}{p}[/tex]
And solving for p, the position of the object, we find:
[tex]p=-\frac{qy}{y'}=-\frac{(-22)(5.5)}{13.8}=8.8 cm[/tex]
So, the object should be located 8.8 cm from the lens.
4)
The images produced by a lens or by a mirror can be of two types:
Real: a real image is produced when the refracted (or reflected) rays actually meet behind the lens (or in front of the mirror). In this case, the image can be actually projected on a screen. A real image is located behind the lens (or in front of the mirror).Virtual: a virtual image is produced when the refracted (or reflected) rays do not meet at any point, so no image can be actually projected on a screen. In this case, the image forms from the intersection of the prolongation of the refracted/reflected rays. A virtual image is located in front of the lens (or behind the mirror).Ammonia gas occupies a volume of 0.450 L at a pressure of 96 kPa. What
volume will it occupy at standard pressure (101.3 kPa)? *
Answer:
0.426 L
Explanation:
Boyles law is expressed as p1v1=p2v2 where
P1 is first pressure, v1 is first volume
P2 is second pressure, v2 is second volume.
Given information
P1=96 kPa, v1=0.45 l
P2=101.3 kpa
Unknown is v2
Making v2 the subject from Boyle's law
[tex]v2=\frac {p1v1}{p2}[/tex]
Substituting the given values then
[tex]v2=\frac {96*0.45}{101.3}=0.4264560710760l\approx 0.426 l[/tex]
Therefore, the volume is approximately 0.426 L
To find the volume of ammonia gas at standard pressure, we applied Boyle's Law and calculated the final volume to be approximately 0.426 liters. Boyle's Law relates the pressure and volume of a gas when temperature and moles remain constant.
To determine the volume that ammonia gas will occupy at standard pressure (101.3 kPa) given its initial volume and pressure, we can use Boyle's Law. Boyle's Law states that the pressure of a gas is inversely proportional to its volume when temperature and the number of moles are held constant. The formula is as follows:
P1V1 = P2V2
Using the values provided, we can rearrange the formula to solve for V2:
V2 = (P1V1) / P2
Substitute the known values:
V2 = (96 kPa * 0.450 L) / 101.3 kPa
V2 ≈ 0.426 L
So, the volume of ammonia gas at standard pressure will be approximately 0.426 liters.
Example Problem:
A sample of ammonia is found to occupy 0.250 L under laboratory conditions of 27 °C and 0.850 atm. Find the volume of this sample at 0 °C and 1.00 atm.
PLZ HELP
Which statement is true for light passing into a medium that is more optically dense than the first medium through which it passed?
The index of refraction of the second medium is lower.
The index of refraction of the second medium is higher.
The index of reflection of the second medium is lower.
The index of reflection of the second medium is higher.
The statement 'the index of refraction of the second medium is higher' is TRUE for light passing into a second medium that is more optically dense than the first medium.
The refraction index of an object is a measurement that indicates how fast light can travel through this object.The refraction index of a given material/substance can be estimated as the velocity of light of a given wavelength divided by this velocity.The higher the refraction index of an object, the closer to the expected direction the light will travel.In conclusion, the statement 'the index of refraction of the second medium is higher' is TRUE for light passing into a second medium that is more optically dense than the first medium.
Learn more about the index of refraction here:
https://brainly.com/question/17156275
Final answer:
The correct statement is that when light passes into a medium that is more optically dense than the first medium, the index of refraction of the second medium is higher.
Explanation:
When light passes into a medium that is more optically dense than the first medium, the index of refraction of the second medium is higher. This is because a higher index of refraction indicates a more optically dense medium. Consequently, the light ray bends towards the normal -- a line perpendicular to the interface of the two media -- when transitioning from a less optically dense medium to a more optically dense one.
15. Where is chemical energy contained in a compound?
Just search it up on google for the correct answer, not that hard.
Explanation:
Answer:
Chemical energy is stored in the bonds of a compound.
Explanation:
Chemical energy is a type of potential energy and is stored in chemical bonds.
What are Mid-Ocean Ridges caused by?
Answer:
occurs when convection currents rise in the mantle beneath the oceanic crust and create magma where two tectonic plates meet at a divergent boundary.
Explanation:
Which term defines the amount of mechanical work an engine can do per unit of heat energy it uses? A. specific heat B. conductivity C. thermal expansion D. efficiency
Answer:
Efficiency
Explanation:
The amount of mechanical work an engine can do per unit of heat energy it uses is called its efficiency. It is also defined as the output divided by the total electrical power consumed.In terms of heat, efficiency of engine is given by :[tex]\eta=1-\dfrac{Q_o}{Q_i}[/tex]
[tex]Q_o\ and\ Q_i[/tex] are output heat and input heat respectively.
Hence, the correct option is (d) "efficiency"
Final answer:
Efficiency is the key factor defining the mechanical work output of a heat engine in relation to the heat energy input.
Explanation:
Efficiency is the term that defines the amount of mechanical work an engine can do per unit of heat energy it uses. It is calculated as the ratio of the useful work extracted to the energy input needed to heat the hot reservoir. In the context of a heat engine, efficiency plays a crucial role in determining how well the engine converts heat energy into mechanical work.
Placed exactly between two oppositely charged point charges, a test charge (the
sensor) will show?
A) Zero force
B) Minimum force
C) Maximum force
D) Option 4
Placed exactly between two oppositely charged point charges, a test charge will show zero force. Thus, the correct option is A.
What is a Test charge?A test charge is a very small positive charge which is used to detect the presence of an electric field. Test charge should be as small as possible so that its presence does not affect the electric field due to source charge. The electric charge which produces the electric field is called a source charge.
The electric field strength (E) can be detected through the help of a test charge(q).
E = F/ q
where, E = electric field strength,
F = force applied,
q = charge
Therefore, the correct option is A.
Learn more about Test charge here:
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a person who works in only area of a subject is a
A person who works in only one area of a subject is known as a specialist. This applies to many fields, including world languages, where a person who intensely studies and focuses only on one particular language and its aspects, such as Spanish, could be considered a Spanish language specialist.
Explanation:A person who works in only one area of a subject is often referred to as a specialist. This term can be applied across many fields, but is especially relevant in the field of world languages. For example, a person who intensely studies and focuses only on Spanish language and literature might be considered a Spanish language specialist.
These individuals typically have deep knowledge and understanding of their specialization. This not only includes the language itself, but also its literature, culture, history and other aspects that might not be covered by someone with broad but shallow knowledge. Therefore, if you're looking to learn advanced Spanish for example, seeking help from a Spanish language specialist would be highly beneficial.
Learn more about Specialist here:https://brainly.com/question/36348346
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A submarine send out a pulse of ultrasound to check how close it is to the seabed the reflected waves are detected 0.2 seconds later work out the total distance travelled by the detected wave is the speed of ultrasound is in water is 1500 M/S
Переходи на сайте irkmix.top и получай много эмоций из Russia
A 24.8 cm tall object is placed in
front of a lens, which creates a
-3.09 cm tall image. If the object is
37.5 cm from the lens, what is the
image distance?
Answer:
Image distance, v = 4.67 cm
Explanation:
We have,
Height of the object, h = 24.8 cm
Height of the formed image, h' = -3.09 cm
Object distance, u - -37.5 cm
It is required to find the image distance. Lens formula is :
[tex]\dfrac{1}{v}-\dfrac{1}{u}=\dfrac{1}{f}[/tex]
Using formula of magnification,
[tex]m=\dfrac{v}{u}=\dfrac{h'}{h}[/tex]
v is image distance
[tex]v=\dfrac{uh'}{h}\\\\v=\dfrac{-37.5\times (-3.09)}{24.8}\\\\v=4.67\ cm[/tex]
So, the image distance is 4.67 cm.
A rocket for a space shuttle is producing a constant acceleration of 2.15 m/s2 . What is its velocity 94.0 seconds after the rocket begins to fire?
Answer: 202.1 m/s
Explanation:
Given that,
acceleration of rocket (A) = 2.15 m/s2 velocity (V) = ?
Time taken (T) = 94.0 seconds
Since acceleration is the rate of change of velocity per unit time
i.e Acc = velocity / time
Velocity = Acceleration x time
V = (2.15 m/s2 x 94.0 seconds)
V = 202.1 m/s
Thus, the velocity is 202.1 m/s
Is this Conduction, Convection, or Radiation:
The top floor of a building is the warmest.
Answer:
convection
Explanation:
hot air rising is a common example of heat convection
Answer: Radiation
Explanation:
Radiation is like for example the sun gives out the radiation from it's heat and for the example you have the heat from the stove is warming the house up from it's radiation waves.
Select the correct answer from each drop-down menu.
The standard wave format for any wave is
wave. When depicting
wave in standard wave
format, the direction of motion must be rotated by 90 degrees. Only one of two waves is shown at a time when placing
wave in standard wave format.
Reset
Next
Answer:
a transverse (sort of a plot of a sine or cosine graph, basically)
b longitudinal
c Electromagnetic (an electric wave and a magnetic wave travelling together at right angles to each other)
Explanation:
Waves are able to cause a disturbance along a medium thereby transferring energy.
What is a wave?The image and the details of the question are missing but I will try to help you the much I can. A wave is defined as a disturbance along a medium which transfers energy.
A wave can be classified as;
Transverse waveLongitudinal waveOr as;
Mechanical waves andElectromagnetic wavesHence, waves are able to cause a disturbance along a medium thereby transferring energy.
Learn more about waves: https://brainly.com/question/981364
You are an astronaut in space far away from any gravitational field, and you throw a rock as hard as you can. The rock will:
slowly slow down and stop
continue at the same speed forever
continue to accelerate at the rate it was when it left your hand
PLZ HELP QUICKLY!
Answer:
the rock will continue at the same speed unless it is affected by another force such as gravity and so if you threw it it will continue to move unless affected by a force
Explanation:
this is because Newton's first law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force.
2. A 60 N net force is applied to a 12 kg box.
What is the acceleration of the box?
Answer:
A = 5 meters/s^2
Explanation:
Force = mass x acceleration
A = Force/mass
A = 60/12
A = 5 meters/s^2
Which of the following is a high wave that crashes down onto the
ocean floor?
a. breaker
b. tide
c. upwelling
d. deflection
FREE BRANLIEST COMMENT AND LIKE SOMEEBODY HELP ME I BEEN WORKING ON THIS FOR TWO DAYS AND IM SLOWY DYING. A puck moves 2.35 m/s in a -22 degree direction. A hockey stick pushes it for 0.215 s, changing its velocity to 6.42 m/s in a 50 degree direction. What is the magnitude of the displacement and Direction of displacement
Answer:
0.805 m at 32.6°
Explanation:
Given in the x direction:
v₀ₓ = 2.35 m/s cos -22° = 2.179 m/s
vₓ = 6.42 m/s cos 50° = 4.127 m/s
t = 0.215 s
Find: Δx
Δx = ½ (v + v₀) t
Δx = ½ (4.127 m/s + 2.179 m/s) (0.215 s)
Δx = 0.678 m
Given in the y direction:
v₀ᵧ = 2.35 m/s sin -22° = -0.880 m/s
vᵧ = 6.42 m/s sin 50° = 4.918 m/s
t = 0.215 s
Find: Δy
Δy = ½ (v + v₀) t
Δy = ½ (4.918 m/s + -0.880 m/s) (0.215 s)
Δy = 0.434 m
The magnitude of the displacement is:
d² = Δx² + Δy²
d² = (0.678 m)² + (0.434 m)²
d = 0.805 m
The direction of the displacement is:
θ = tan⁻¹(Δy/Δx)
θ = tan⁻¹(0.434 m / 0.678 m)
θ = 32.6°
What kind of reaction is it when heat is RELEASED in a chemical reaction, causing temperature to increase?
A)Exothermic Reaction
B)Endothermic Reaction
Answer:
A
Explanation:
EXothermic mean to release heat hit the EX almost like exit
FREE BRANLIEST❗️❗️ for anyone who answers this correctly
Answer:
1.29x10^5 m
Explanation:
Step 1:
Data obtained from the question.
Mass of uranus (M1) = 8.68x10^25Kg
Mass of miranda (M2) = 6.59x10^19Kg
Force (F) = 2.28x10^19N.
Gravitational constant (G) = 6.674×10^−11 m3/kgs2
Distance apart (r) =?
Step 2:
Determination of the distance apart.
Using the Newton's law of universal gravitation equation, the distance apart of uranus and the moon miranda can be obtained as follow:
F = GM1M2/r2
r2 = GM1M2/F
r2= (6.674×10^−11x8.68x10^25x6.59x10^19)/2.28x10^19
r2 = 1.67x10^16
Take the square root of both side.
r = √(1.67x10^16)
r = 1.29x10^5 m
Therefore, the distance apart is 1.29x10^5 m
Answer:
1.29x10^5 m
Explanation:
Step 1:
Data obtained from the question.
Mass of uranus (M1) = 8.68x10^25Kg
Mass of miranda (M2) = 6.59x10^19Kg
Force (F) = 2.28x10^19N.
Gravitational constant (G) = 6.674×10^−11 m3/kgs2
Distance apart (r) =?
Step 2:
Determination of the distance apart.
Using the Newton's law of universal gravitation equation, the distance apart of uranus and the moon miranda can be obtained as follow:
F = GM1M2/r2
r2 = GM1M2/F
r2= (6.674×10^−11x8.68x10^25x6.59x10^19)/2.28x10^19
r2 = 1.67x10^16
Take the square root of both side.
r = √(1.67x10^16)
r = 1.29x10^5 m
Therefore, the distance apart is 1.29x10^5 m
a 7.3kg gallon paint can is lifted 1.78 meters vertically to a shelf. what is the change potential energy of the paint can
Answer:
127.5 J
Explanation:
Potential energy is given as the product of mass of an object, the height moved and acceleration due to gravity. Therefore, PE=mgh
The change in potential energy is given by mg(hf-hi) where hf-hi is change in height got by subtracting initial height from final height. In this case, the initial height is zero while final height is 1.78 m.
Substituting 9.81 m/s2 for g, 7.3 kg for m and h with 1.78 then the change in potential energy will be
7.3*9.81*(1.78-0)=127.47114 J
Rounded off as 127.5 J
A student is building a simple circuit with a battery, light bulb, and copper wires. When she connects the wires to the battery terminals, the light bulb does not light up. Which of the following could explain why the bulb does not light?
A. The is no energy source.
B. The circuit is open.
C. This circuit is too simple to light up a light bulb.
D. Copper wires do not conduct electric current.
Option B represents the correct answer.
The Bulb does not light up because the circuit is an open circuit.
Open and Closed CircuitAn electrical circuit where the energy is not flowing through the circuit is called the open circuit. In the open circuit, the continuity is broken so that the current does not flow through the circuit.
An electrical circuit where the energy is allowed to flow through the circuit by turning it on is called the closed circuit. A circuit is made closed if the electricity is flowing from an energy source to the desired endpoint of the circuit.
Given that a simple circuit is built up by a student. The circuit is made with a battery, light bulb, and copper wires. The light bulb does not light up when the copper wires are connected to the battery terminals because there is no energy flow through the circuit. It means that the circuit is an open circuit.
Hence we can conclude that the light bulb does not light up due to the no energy flow in the circuit. Option B is the correct answer.
To know more about the open and closed circuit, follow the link given below.
https://brainly.com/question/23088951.
John pushes forward on a car with a force of 125n while bob pushes backward on the car with a force of 225n. what is the net force on the car
The net force on the car is -100 N, and it acts in the direction of Bob's force. This means the car experiences a net force of 100 N directed backward.
To find the net force on the car, we need to consider the vector sum of the forces applied by John and Bob. Since they are acting in opposite directions, we'll use the following formula:
Net Force = Force_John + Force_Bob
Now, substitute the given values:
Net Force = 125 N + (-225 N)
Net Force = 125 N - 225 N
Net Force = -100 N
The negative sign indicates the direction of the net force, which is in the direction of the greater force (towards Bob, the direction of the 225 N force).
A skydiver has a mass of 140 kg. At what speed will she have a momentum
of 10,000 kg•m/s?
Answer:
71.4 m/s
Explanation:
True or False? When a pot of water is heated on a stove, it will begin to bubble. This is a sign that there was a chemical reaction.
True
false
Answer:
False
Explanation:
Boiling water is not a chemical change it is a Physical change
Hope this helps PLEASE MARK AS BRAINLIEST !!Answer:
false
Explanation:
Venus is located between the planets
Saturn and Earth
Mercury and Earth
Earth and Mars
Mars and Saturn
Answer:
venus is located between mercury and earth
Explanation:
Answer:
Mercury and Earth
Explanation:
velocity is described by __ and time
Answer:
distance
Explanation:
When the forces acting on an object are _____, the net force must be zero.
Answer:
According to Newton's first law, when the net force acting on an object is zero, the object must __have a velocity of zero___.
Explanation:
When the net force is zero, the acceleration is zero, so the velocity must be constant. Note that zero velocity is simply a special case of constant velocity.
Hope THIS HELPS
MARK BRAINLIEST!
Answer:
D) positive and negative
Explanation:
Which situation will have the highest resistance?
A.long wire and high temperature
B. short wire and high temperature
C. long wire and cold temperature
D.short wire and low temperature
Answer:
i think it is C
Explanation:
Answer: A. Long wire and high temperature
Explanation:
Is glucose and oxygen products reactants of cellular respiration
Answer:
Glucose and oxygen are products of photosynthesis.
Explanation:
Energy, carbon dioxide and water are products of cellular respiration. Glucose and oxygen are reactants in cellular respiration. Energy, water and carbon dioxide are reactants of photosynthesis.
Answer: Reactants
Explanation: A cell will need to break glucose to create energy. Oxygen will turn into carbon dioxide, which is what us humans breathe out.
To increase the brightness of a desk lamp, a student replaces a 60-watt light bulb with a 100-watt bulb. Compared to the 60-watt bulb, the 100-watt bulb has
1.less resistance and draws more current
2.less resistance and draws less current
3.more resistance and draws more current
4.more resistance and draws less current
Answer:
3. more resistance and draws more current
Explanation:
According to a derivation from Ohm's law, the power, P, generated by the bulb is directly proportional to square of the current, I, passing through it. i.e
P ∝ I²
P = I²R -------------------- (i)
Where;
R = constant of proportionality called resistance
From equation (i), it can thus be deduced that the power, P, is also directly proportional to the resistance, R.
Thus;
(i) When power increases, resistance increases
(ii) When power increases, current also increases.
So for the 100-watt bulb, compared to the 60-watt bulb, there will be more resistance and more current will be drawn.
Answer:
Option 1. Less resistance and draws more current
Explanation:
To better understand this concept, let us determine the resistance and current of each bulb assuming a 240V supply.
Recall:
Power = current (I) x voltage (V)
P = IV
Power = square voltage/ resistance
P = V^2 /R
For the 60watt bulb:
Power (P) = 60watts
Voltage = 240V
Current (I) =?
Resistance =?
A. P= IV
60 = I x 240
Divide both side by 240
I = 60/240
I = 0.25A
B. P = V^2 /R
60 = (240)^2 / R
Cross multiply to express in linear form
60 x R = (240)^2
Divide both side by 60
R = (240)^2 / 60
R = 960 ohms
For 100watts bulb:
Power (P) = 100watts
Voltage = 240V
Current (I) =?
Resistance =?
A. P= IV
100 = I x 240
Divide both side by 240
I = 100/240
I = 0.42A
B. P = V^2 /R
100 = (240)^2 / R
Cross multiply to express in linear form
100 x R = (240)^2
Divide both side by 100
R = (240)^2 / 100
R = 576 ohms
Summary:
60watts bulb has a current of 0.25A and a resistance of 960 ohms
100watts bulb has a current of 0.42A and a resistance of 576 ohms.
Comparing the resistance and current of the 60watts and 100watts bulb under the same supply of 240V,
the 100watts bulb has lesser resistance than the 60watts bulb and draws more current than the 60watts bulb.
A moving object slows to a stop because of compression.*
True
False
Answer: false
Explanation: friction makes objects slow down and stop