A spherical convex mirror has a radius of 30 cm. An object with a height of 0.30 m is placed 20 cm from the mirror. Note that in +/- sign conventions, f is negative (–) if the mirror is a convex mirror. a. Calculate the image distance. b. Calculate the image height. c. Calculate the magnification. d. Summarize the properties of the image formed in terms of its LOST (location, orientation, size, and type). e. Draw the set-up using graphical methods (ray diagramming). Apply scale drawing. Make sure that your illustration matches well with what you have calculated and presented in a-d.
Answers
a)A spherical convex mirror form the image at image distance is 8.57cm.
b) Mirror forms the image of height is 12.855 cm.
c)The magnification of the spherical convex lens is 0.4285.
What is convex mirror?The mirror which is a part of sphere with radius R is painted from inside forms the convex mirror.
The focal length of convex lens, f = R/2
Given , the radius of mirror is R =30cm, the focal length will be
f =30cm/2 = 15cm
a) Object distance u =20 cm, object height =0.30m, then the image distance will be 1/f = 1/u + 1/v where v is the image distance from the lens.
1/15 = 1/20 + 1/v
v= 8.57 cm
Thus, the image distance is 8.57cm.
b) Ratio of image distance to the object distance is equal to the ratio of image height to the object height.
Substitute the values into the expression, we get the image height as
h(image) = 8.57/20 x 30
h(image) = 12.855 cm
Thus, the image height is 12.855 cm.
c) The magnification is the ratio of image height to the object height.
Putting the values, we have
= 12.855/30
= 0.4285
Thus, the magnification is 0.4285.
d) Size of object is large as compared to the size of image. Object distance is small as compared to the image distance. The image formed is virtual.
e) The setup drawing is attached.
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Related Questions
if the initial velocity of body is 2 metre per second and final velocity is four metre per second calculate average velocity
Answers
Answer:
3 m/s
Explanation:
Average velocity = Initial velocity + Final velocity / 2
Solving :
⇒ Average velocity = 2 + 4 / 2
⇒ Average velocity = 6/2
⇒ Average velocity = 3 m/s
if the initial velocity of body is 2 metre per second and final velocity is four metre per second calculate average velocity
Solution:AV = 2 + 4 / 2AV = 6/2AV = 6 ÷ 2AV = 3m/sSo the average velocity is 3ms.
what are the 5 super typhoons that entered the Philippine Area of Responsibility (PAR)?
Answers
Answer:
2.1 Typhoon Damrey (Asiang)
2.2 Tropical Storm Longwang (Biring)
2.3 Tropical Depression 03W (Konsing)
2.4 Tropical Depression 04W.
2.5 Unnamed tropical depression.
Explanation:
if i wanted the laser to refract less as it exits the prism, i would
Answers
If you wanted the laser to refract less as it exits the prism, you should increase the wavelength of the light.
What is refraction?Refraction can be defined as a phenomenon which describes a change (bend) in the path taken by light when it's at surfaces between different transparent materials.
According to the model of light wave, the refraction of light is inversely proportional to its wave. Thus, you should increase the wavelength of light, if you want the laser to refract less as it exits the prism.
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Explain uses of conductors with either high or low resistance.
Answers
There is an increasing use of LEDs for lighting. What does LED stand for?
Answers
Answer:
LED stands for light emitting diode. LED lighting products produce light up to 90% more efficiently than incandescent light bulbs.
What is the mass of a ball that has 29j of potential energy and is lifted 2.0m?
Answers
Answer:
1.48kg
Explanation:
Here,
potential energy (P.E) = 29j
height (h) = 2m
acceleration due to gravity(g) =
[tex]9.8m {s}^{ - 2} [/tex]
mass(m) = ?
we know,
P.E = mgh
or, 29 = m×9.8×2
or, 29/19.6 = m
or,m = 1.48kg
During a race, a sprinter accelerated 1.8 m/s 2 in 2.5 seconds.How many meters per second did the sprint increase with this amount of acceleration
Answers
During a race, a sprinter accelerated 1.8 m/s 2 in 2.5 seconds. The sprint increase with this amount of acceleration by 4.5 m/s.
What is acceleration?Acceleration is the time rate of change of velocity.
Acceleration a = velocity v / time t
1.8 = v/2.5
v = 4.5 m/s
The sprint increase with this amount of acceleration by 4.5 m/s.
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How do you convey your emotion in text communication?
Answers
Hey there! Hope this answer helps.
Answer:
Emojis: Emojis are a useful way to convey human emotions due to their human characteristics; they mimic the expressions of the human face, they serve as simple shorthand for conveying an emotional state without directly stating it :)Punctuation: Not only for clarity, but different uses of punctuation can be convey different things - e.g. exclamation marks (!) can express anger, emphasis, sadness or delight depending on the context, and full stops (.) or periods in the US are interpreted as bold, assertive or aggressive. On the same note, texters find sentences with no period or with ellipses more passive or open ended and formalLength: Think about it like this: "I read about your relative's passing on Insta-gram and am sorry for your loss" likely has more emotional impact than "read abt ur family's passing on ins-ta, sry 4 ur loss."- profparis
Which sequence describes how a convection current forms in the air?
A Warm air rises-Air gets warmer- -Warm air sinks
& Cold air rises-Air warms up-Warm air sinks
C. Warm air rises-Air cools off-Cool air sinks
D. Cold air rises-Air gets cooler-Cool air rises
W
6
Answers
Answer:
C
Explanation:
Cool and dense air falls through more warm and less dense air during convection. The cooler, which is much heavier than warm air, is displacing the warmer, which has less mass. Convection always involves rising air in the atmosphere.
Answer:
C
Explanation:
Imagine a kettle. When you open it, all the hot water vapour will rise up, attempting to burst out. However, when it comes in contact with the cold air, it also becomes cold, causing it to sink back down and giving us the visual effect of steam.
If the ball reaches the ground in 8 seconds and the velocity of the ball before it hits the ground is 78.4. What is its acceleration?
also please explain how if you can
Answers
Answer:
9.8 m / s^2
Explanation:
Assuming free fall====> there is no initial downward/upward velocity
Assuming metric units 78.4 m/s
vf = a t
78.4 = a (8) shows a = 9.8 m/s^2
Interference between the red and blue waves in wave set A will result in which wave?
Answers
Answer:
option 1
Explanation:
Formulating an Investigative Question
In this lab, you will use a magnet and a simple circuit to
examine the concepts of electricity and magnetism. Think
about how these ideas can be shown experimentally.
In the space below, write a scientific question to address
by doing this experiment.
Answers
A magnet can be used to show electromagnetic forces by showing how negative charges can move a particular piece of metal.
What is a scientific question?A scientific question is a given question derived from observation of the real world and can be answered by applying the scientific method.
In this case, a plausible scientific question might be how electromagnetic forces can move a piece of metal and we need to develop an explanation (hypothesis) to understand it.
In conclusion, a magnet can be used to show electromagnetic forces by showing how negative charges can move a metal.
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Answer:
How can magnetic and electric fields be demonstrated?
Explanation:
Which diagram shows magnets aligned so they will attract each other?
Answers
What is the de-Broglie wavelength of a 70kg person jogging at the rate of 2.70m/s. the mass of an electron is 9.11 x 10-28g, the speed of light is 3.00 x 108m/s, planks constant is 6.63 x 10-34js.
Answers
The de-Broglie wavelength of a person jogging at the rate of 2.70m/s is 3.5 x 10⁻³² m.
What is de-Broglie wavelength?De-Broglie wavelength is the ratio of Planck's constant h to the momentum of the electron p.
Momentum p = mass m x velocity v
Given is the mass of a person = 70kg, the speed of person 2.70m/s, Planck's constant h= 6.63 x 10⁻³⁴J.s
De- Broglie wavelength λ= h/mv
λ = 6.63 x 10⁻³⁴/ ( 70 x 2.70)
λ = 3.5 x 10⁻³² m
Thus the wavelength is 3.5 x 10⁻³² m.
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Discuss why schizophrenia disorder interests you.
Describe how schizophrenia impacts someone on a daily basis.
Describe the labels and/or stigma associated schizophrenia. (i.e. “crazy,” “insane,” “get over it,” “psycho,” “neurotic,” etc).
Answers
Answer:
schizophrenia is a chronic disease meaning it doesn't go away. It affects a person mentally, and on a daily basis is hard to see who or what is reality or an illusion. People with schizophrenia have a hard time getting a job, because it's hard to focus.
Most stigmas people have with schizophrenia is paranoid, or insane. They think something or someone is following them because they see something that makes them uncomfortable all the time.
Explanation:
A pendulum completes 3 cycles in 12 seconds. What is its period?
Answers
Answer:
[tex]period = 4s[/tex]
Explanation:
[tex]period = \frac{total \: time}{number \: of \: cycles} [/tex]
[tex]period = \frac{12}{3} [/tex]
[tex]period = 4s[/tex]
The average reaction time is 1.5 seconds?
True
False
Answers
Answer:
false
Explanation:
The average reaction time for humans is 0.25 seconds to a visual stimulus, 0.17 for an audio stimulus, and 0.15 seconds for a touch stimulus.
A object moving in 3m radius circular path,
when it reaches the beginning point again, then
the displacement in m equals:
Answers
Answer:
0
Explanation:
Physically:
Beginning point means initial point so you're basically going into circles which means a displacement of zero.
Mathematically:
[tex]d = x _{f} - x _{i}[/tex]
We know
[tex]x _{f} =x _{i}[/tex]
So we get
[tex]d = x _{f} - x _{f}[/tex]
[tex]d = 0[/tex]
The units of Work, Energy and power are________ ________units.
Answers
Answer:
the units of work and energy is joule and unit of power is Watt
How far does the runner travel in 10 s going a velocity of 4m/s
Answers
Answer:
40 m
Explanation:
4 m/s * 10 s = 40 m
( see how the 's' cancels out and you're left with "m" as your answer?)
Assume the roller coaster experiences no friction. What would be the speed of the roller
coaster at point F? Defend your answer in 1-2 sentences.
Answers
The roller coaster experiences no friction, the speed of the roller
coaster at point F is mathematically given as
v= 65.72 m/s
What would be the speed of the roller coaster at point F?Generally, the equation for the Mechanical enegy is is mathematically given as
ME = mgh + 1/2mv^2
Therefore
ME= 80*9.8*200 + 1/2*80*20^2
ME= 172800 J
In conclusion, the speed of the roller coaster at point F is
ME=1/2*m*V^2
172800 = 1/2*80*V^2
v= 65.72 m/s
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A 6.20-kg steel ball at 27.7°C is dropped from a height of 21.7 m into an insulated container with 4.50 L of water at 10.1°C. If no water splashes, what is the final temperature of the water and steel? The specific heat of steel and water is 450J / (kg - K) and 4186J / (kg - K) respectively.
Answers
The final temperature of the water and steel mixture after the steel is dropped is determined as 7.12 ⁰C.
Conservation of energy
From the principle of conservation of energy, the energy lost by the steel ball is equal to the energy gained by the water.
P.E(steel) - Thermal(steel) = Thermal(water)
mgh - mcΔθ = mcΔθ
where;
mass of water = density x volume = 1 kg/L x 4.5 L = 4.5 kg(6.2)(9.8)(21.7) - (6.2)(450)(27.7 - T) = (4.5)(4186)(T - 10.1)
1,318.492 - 77,283 + 2790T = 18,837T - 190,253.7
114,289.192 = 16,047T
T = 7.12 ⁰C
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What is the period of oscillation for a pendulum that completes 3.00 cycles every 2.00 s?
Answers
Answer:
[tex]\huge\boxed{\sf T = 0.67\ seconds}[/tex]
Explanation:
Given Data:
Cycles = c = 3 cycles
Time = t = 2 seconds
Required:
Time period = T = ?
Formula:
1) f = c/t
2) T = 1/f
Solution:
Finding frequency first:
f = c / t
f = 3/2
f = 1.5 Hz
Now, finding period:
T = 1/f
T = 1 / 1.5
T = 0.67 seconds
[tex]\rule[225]{225}{2}[/tex]
A 0.03 kg baby sea turtle moves across the sand toward the ocean at 0.3 m/s. What is her kinetic energy in Joules?
Answers
Answer:
.00135 j
Explanation:
K.E. = 1/2 m v^2
= 1/2 * .03 * .3^2 = .00135 j
A quartz crystal vibrates with a frequency of 33,621 Hz. What is the period of the crystal's motion?
______ ms
Answers
Answer:
.0297 ms
Explanation:
period = 1 / f = 1 / 33621 = .0000297 seconds= .0297 ms
Light ray 1 strikes the surface, separating air and water as shown below.
A horizontal line is drawn and the part above the line is labeled Air and the part below the line is labeled Water. There is one slanting ray labeled 1 which falls on the line at a point and there are four rays of light labeled 2, 3, 4, and 5 which move away from same point on the line. Ray 5 is exactly vertical to the line and below the line, ray 4 is on the right of ray 5 and makes an angle of about 25 degrees with ray 5. Ray 3 is above the line and makes an angle of about 25 degrees with the line. Ray 2 is on the right of ray 1 and ray 1 and ray 2 make angles of about 25 degrees with the vertical at the point where ray 1 strikes.
Which of the following is the refracted ray for ray 1?
Group of answer choices
Ray 2
Ray 3
Ray 4
None, ray 1 is not refracted
Answers
The ray that is part of the reflected ray must be ray 2 from the description in the question.
What is reflection?
the term reflection has to do with the bouncing back of a wave. When waves hit a surface, they can bounce back in the opposite direction. The reflection of light leads to so many phenomena such as shadow.
In this case, the ray that is part of the reflected ray must be ray 2 from the description in the question.
So RAY 2
Answer:
The ray that is part of the reflected ray must be ray 2 from the description in the question.
Explanation:
Conservation efforts have been effective in _______.
a.
increasing the number of endangered species
b.
reducing all the negative impacts of human activity
c.
preserving wildlife habitats
d.
all of the above
Answers
Answer:
The answer is D. All of the above.
Explanation:
All of these were efforts and been effective.
Answer:
c
Explanation:
A satellite with a mass of 150 kg fires its engines to increase velocity, thereby
increasing the size of its orbit about Earth. As a result, it moves from a
circular orbit of radius 7.5 x 106 m to an orbit of radius 7.7 x 106 m. What is
the approximate change in gravitational force from Earth as a result of this
change in the satellite's orbit? (Recall that Earth has a mass of 5.97 x 1024 kg
and G = 6.67 x 10-11 N-m²/kg².)
OA. -113 N
OB. -148 N
O C. -216 N
D. -54 N
Answers
The approximate change in gravitational force from Earth as a result of the change in radius of the satellite's orbit is 5. 35N
What is the universal law of gravitation?The universal law of gravitation states that the particle of matter in the universe attracts another particle with a force directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
It is written thus;
F = G MIM2÷ r∧2
Where
F = Gravitational force
G = Gravitational constant
M1 and M2 are the masses of the object
r = radius
How to calculate the gravitational forceFormula:
F = G MIM2 ÷ r∧2
Given M1 = 150kg, M2 = 5.97 x 1024 kg, r = 7.5 x 106 m, G = 6.67 x 10-11 N-m²/kg²
For the first orbit, substitute the values
F = 6.67 x 10∧-11 × 150 × 5.97 x 10∧24 ÷ (7.5 x 10∧6)²
F = 5.95 × 10∧16 ÷ 56.25 × 10∧12 = 105.77 N
For the second orbit of radius 7.7 x 106 m
F = 6.67 x 10∧-11 × 150 × 5.97 x 10∧24 ÷ (7.7 x 10∧6)²
F = 5.95 × 10∧16 ÷ 59.25 × 10∧12 = 100. 42 N
The approximate change = 105. 77 - 100.42 = 5. 35N
Hence, the approximate change in gravitational force from Earth as a result of the change in radius of the satellite's orbit is 5. 35N
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Drag each label to the correct location on the image
Identify the particles and characteristics on this model of an atom
(Provide picture to explain more clearly)
A- Positively Charged
B- Electron
C- Proton
E- Neutron
D- Negatively Charged
Answers
Answer:
you cant really give any answers because i cant tell u were to drag
You are walking through the woods and cone acroos an old well thats 15 meters deep if the speed of sound and air is 340 m/s then how long would it take to hear echo
Answers
Answer:
.0882 s
Explanation:
Sound has to travel to the bottom (15 m) then back up (15m ) to hear the echo
(15 + 15 m) / 340 m/s = .0882 s
