The ball is 25 times more energetic when it is thrown by the professional then when it is thrown by the child.
What is the ratio of the energy?Basically we ought to be reminded that the kinetic energy of the object is the energy that is possessed by the object by virtue of the fact that the object is in motion.
We have to recall that the kinetic energy is given by;
KE = 1/2 mv^2
m = mass of the object
v = velocity of the object
Since the mass of the object is held the same let us take note of the speed with which the ball is thrown by the student and the professional respectively
Speed of the student = 20 mph or 8.9 m/s
Speed of the professional = 100 mph or 44.7 m/s
Energy of the ball by the student = 0.5 * m * (8.9)^2
Energy of the ball by the professional = 0.5 * m * (44.7)^2
We now have;
0.5 * m * (44.7)^2/0.5 * m * (8.9)^2
25 times
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How many volts are required to move a current of 3 A through a resistor of 1000 Ohms?
3000 volts are required to move a current of 3 A through a resistor of 1000 Ohms.
Ohm's law states that the voltage across a conductor is directly proportional to the current flowing through it, given a constant temperature and other conditions. The relationship between voltage, current, and resistance is expressed mathematically as V = IR, where V is the voltage across the conductor, I is the current flowing through it, and R is the resistance of the conductor.
Using Ohm's law, we can find the voltage required to move a current of 3 A through a resistor of 1000 Ohms:
V = I * R
where V is the voltage, I is the current, and R is the resistance.
Substituting the given values, we get:
V = 3 A * 1000 Ohms = 3000 volts
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what weight of water would exert a pressure of 2000 Pascal on a base of a rectangular water tank with dimension 50 m by 20 m. what weight of water would exert a pressure of 2000 pascal's on a base of a rectangular water tank with dimension 50 m by 20 m
Answer:
Pressure depends on the height of the water not on the area of the tank.
P (ressure) = density * g * h
h = 2000 nt / m^2 / (1000 kg / m^3 * 9.8 m / s^2) = .204 m
W = M V g = M h A * g
If you want the weight of the water on the entire base (A = 1000 m^2)
W = 1000 kg / m^3 * .204 m * 1000 m^2 = 2.04E5 * 9.8 m / s^2
W = 2E6
But pressure = Force / area
Force = 2000 * 1000 = 2E6
Not sure what they are asking here
Which one is correct?
The maximum energy of a photoelectron cannot be greater than the energy of the incident photon minus the minimum energy needed to escape from the surface of the metal.(5.30*10^-19)
How much energy does a photoelectron have?
The photoelectrons' highest recorded kinetic energy is 6.63 1019 J. The metal's threshold frequency is when it is exposed to radiation with a frequency of 2 1015 Hz.
What is the photoelectron equation?
E = h c W, m an x, where h seems to be the Planck constant, c is the speed of the light, is the wavelength of a incident photon, & W is the activity function of a metal surface, is the formula for a photoelectron's maximal kinetic energy.
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A cat pushes a porcelain statue off a bookshelf with a speed of 0.5 m/s and it smashed on the floor 0.85 sec later.
Answer:
167?
Explanation:
i added both
Water flows at a speed of 13 m/s through a pipe that has a diameter of 1.2 m. What is the
diameter of the smaller end of the pipe that the water comes out with a speed of 30 m/s?
The diameter of the smaller end of the pipe is approximately 0.78 meters.
To determine the diameter of the smaller end of the pipe, we can use the principle of conservation of mass. According to this principle, the mass flow rate of water should remain constant throughout the pipe.
The mass flow rate is given by the equation:
Mass flow rate = density of water * cross-sectional area * velocity
Since the density of the water remains constant, we can write:
Cross-sectional area1 * velocity1 = Cross-sectional area2 * velocity2
Given that the velocity1 is 13 m/s, the diameter1 is 1.2 m, and the velocity2 is 30 m/s, we can solve for the diameter2 using the equation:
(pi * (diameter1/2)^2) * velocity1 = (pi * (diameter2/2)^2) * velocity2
Simplifying the equation:
(1.2/2)^2 * 13 = (diameter2/2)^2 * 30
Calculating the equation:
(0.6)^2 * 13 = (diameter2/2)^2 * 30
0.36 * 13 = (diameter2/2)^2 * 30
4.68 = (diameter2/2)^2 * 30
Dividing both sides by 30:
0.156 = (diameter2/2)^2
Taking the square root of both sides:
0.39 = diameter2/2
Multiplying both sides by 2:
0.78 = diameter2
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Pls help physics homework
True or False:
- Gravity depends on the material of the objects.
- Gravity is not a force because it cant move objects
- Gravity is a force because a force is a push or a pull
- The moon has less gravity than the earth because it has less mass than the earth
- The moon has less gravity than the earth because it has no atmosphere
A spring with a spring constant of 80 N/m is at rest and is attached to a block. If the block (attached to the end of the spring) is moved from 0.6 m to 0.4 m and then let go, what will be the spring force exerted on the block? Rightward is positive.
Answer:
–I6 N
Explanation:
From the question given above, the following data were obtained:
Spring constant (K) = 80 N/m
Initial position = 0.6 m
Final position = 0.4 m
Force (F) =?
Next, we shall determine the compression of the spring. This can be obtained as follow:
Initial position = 0.6 m
Final position = 0.4 m
Compression (x) =?
Compression = Final position – Initial position
Compression (x) = 0.4 – 0.6
Compression (x) = – 0.2 m
Finally, we shall determine the force. This can be obtained as follow:
Spring constant (K) = 80 N/m
Compression (x) = – 0.2 m
Force (F) =?
F = Kx
F = 80 × –0.2
F = –I6 N
Why do you think the Founders divided the process into two steps (impeachment and conviction)?
The impeachment process is described in Article I of the United States Constitution. Impeachment is the process by which senior political officials of the government can be removed from office, for reasons of treason, bribery or serious misconduct in the exercise of their functions.
The first step in this process is carried out by the House of Representatives, which is in charge of determining the origin of the impeachment, assessing the grounds and evidence that allow or not to prosecute the politician in question through a simple majority vote. Then, the Senate is in charge of the trial itself, determining the guilt or not of the official.
Ur pfp cute no cap
The Founders divided the process into two steps which are impeachment
and conviction to ensure the affected person has a fair judgement and
subsequent trial.
The house of representatives are in charge of the impeach process if an
office holder commits an offence in which impeachment can suffice. The
members of the house of representatives vote and the office holder is
impeached if the majority vote in that direction.
The Senate then takes over and the person faces trial and the judgement is
passed according to the available evidences.
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When an object is placed in front
of a convex lens, it creates a virtual
image at -12.8 cm with a
magnification of 2.85. What is the
focal length of the lens?
The focal length of the lens will be 3.32 cm. The object is placed in front of a convex lens.
What is focal length?The focal length of the lens, which is often expressed in millimeters, is the distance between the lens and the image sensor when the subject is in focus.
Given data;
Focal length,f=?
Image distance,v= -12.8 cm
Object distance,u=
Magnification,m= 2.85
The magnification of the lens is found as;
\(\rm m=\frac{v}{u} \\\\ u=\frac{v}{m} \\\\ u=\frac{-12.8}{2.85} \\\\\ u= -4.49 \ cm\)
- ve shows that the image is formed behind the mirror.
The mirror equation is found as;
\(\rm \frac{1}{f} =\frac{1}{v} +\frac{1}{u} \\\\ \rm \frac{1}{f} =\frac{1}{-12.8} -\frac{1}{4.9} \\\\ \frac{1}{f} = -0.3008 \\\\\ f= 3.32 \ cm\)
Hence the focal length of the lens will be 3.32 cm.
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A flash light has a potential difference of 6 volts and a resistor of 2 Ohms . The current in the flash light is
amps.
Answer:
3 amps
Explanation:
Volts divided by ohms
PLZZ ANSWER THE QUESTION
Answer:
I would say a but it could be b too. It’s definetly not the last two.
I say a because no reason to go up the hill and that’s not gonna give her speed going down so. Good luck!
Explanation:
What is the potential energy of a 12 kg box on a 5 m high shelf?
Answer:6
Explanation:$’n
An object weighs 275 N when fully immersed in water and 325 N when fully immersed in oil of specific gravity 0.9. The volume of the object (m3) is most nearly:___________
Answer:
V = 0.05 m^3
Explanation:
The weight of the object of mass (m) and volume (V) in water is: 275 N and it is calculated using the buoyancy formula:
275 N = m g - V (dw) g
where (dw) is the density of water (1000 kg/m^3)
The weight of the object in oil is 325 N and it is calculated using the buoyancy formula as:
325 N = m g - V (do) g
where "do" is the density of oil which is: 0.9 x 1000 kg/m^3 = 900 kg/m^3
Therefore, subtracting term by term the two equations:
325 N -275 N = mg - mg - V (do) g + V (dw) g
50 N = V g (dw - do)
50 N = V g (1000 - 900)
50 N = V g (100)
solving for V (which will result in units of m^3):
V = 50 / 981 m^3
V = 0.05 m^3
The movement of the liquid in a thermometer shows changes in temperature. An increase in temperature indicates the molecules in the liquid *
Answer:
The movement of the liquid in a thermometer shows changes in temperature. An increase in temperature indicates the molecules in the liquid *
Explanation:
The ability to do work or cause a change is the definition for
energy
motion
inertia
force
What is the SI unit for energy?
Newton meter
Joule
all of the above
What are the only two things you can do with energy?
use and waste
store and transfer
store and use
transfer and waste
Energy stored as motion is also known as
chemical potential
elastic potential
kinetic
gravitational potential
Kinetic energy depends upon
mass and velocity
mass and gravity
mass and displacement
mass and height
Energy stored in position is also known as
chemical
potential
kinetic
elastic
Potential energy depends upon
mass and velocity
mass and gravity
mass, height and gravity
mass and displacement
Energy stored in chemical bonds is known as
kinetic
chemical potential
gravitational potential
elastic potential
Energy stored in a rubber band is known as
kinetic
gravitational potential
chemical potential
elastic potential
What is the force of gravity for a 12 kg turkey?
Answer:
1. Energy
2. All of the above
3. Store and use
4. Kinetic
5. mass and velocity
6. Potential
7. mass, height, and gravity
8. Chemical Potential
9. Elastic Potential
10. (`⌒*)O-(`⌒´Q)
Explanation:
02
For a given incident ray with angle of incidence i on a plane mirror,
if the plane mirror is rotated a certain angle then the reflected
ray r rotates by what angles?
1) 40
2) 21
3) 20
4) 0
If a plane mirror is spun by a specific amount, the reflected ray r will rotate by a 0 degree angle for a given incident ray with angle of incidence i.
What angle does the light beam deviate through when it strikes a planar mirror at an angle?The angle of reflection (r) is the angle formed by the reflected beam and the normal. The angle of reflection is equal to the angle of incidence, or i=r, in accordance with the rules of reflection.
What are the angles of incidence (I) and reflection (R) for light that is incident normally on a planar mirror?Normally, the light beam strikes a planar mirror, which indicates that the angle of incidence is 0°, not 90°. The angle of reflection is 0° as a result.
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If you stand on a trampoline, it depresses under your weight. When you stand on a hard stone floor, __________. If you stand on a trampoline, it depresses under your weight. When you stand on a hard stone floor, __________. the floor deforms very slightly under your weight only if you are heavy enough does the floor deform at all under your weight the floor does not deform at all under your weight
Answer:
the floor deforms very slightly under your weight
Explanation:
A trampoline is made up of a large piece of strong cloth held by springs on which you jump up and down as a sport. So, If you stand on a trampoline, it depresses under your weight. However, the floor does not deform under your weight as it is too stiff.
Therefore,
when you stand on a hard stone floor, the floor deforms very slightly under your weight.
Which psychologist contributed significantly to the humanistic psychology movement
Carl Rogers, along with Abraham Maslowsignificantly contributed to the humanistic psychology movement through his development of the person-centered approach and his emphasis on the individual's subjective experience and potential for personal growth.
Carl Rogers was a psychologist who played a significant role in the development of humanistic psychology. Alongside Abraham Maslow, Rogers helped establish and promote the humanistic approach to understanding human behavior and experience.Humanistic psychology: Humanistic psychology is a psychological perspective that emphasizes the inherent worth and potential of individuals. It focuses on the subjective experience, self-actualization, personal growth, and the importance of human values.Carl Rogers: Carl Rogers was an influential figure in the humanistic psychology movement. He developed the person-centered approach, also known as client-centered therapy or the Rogerian approach.Person-centered approach: Rogers emphasized the importance of providing a supportive and empathetic environment for individuals to promote their personal growth and self-understanding. He believed that individuals have an innate tendency towards self-actualization, and the role of the therapist is to facilitate this process by providing unconditional positive regard and empathy.Contributions: Rogers made significant contributions to the field of psychology, particularly in the areas of therapy and counseling. His emphasis on the individual's subjective experience and the importance of the therapeutic relationship had a profound impact on the field.Humanistic movement: Alongside Abraham Maslow, Rogers helped establish humanistic psychology as a distinct movement within the field. Their work focused on the holistic understanding of human experience, personal growth, and self-actualization, challenging the dominant perspectives of behaviorism and psychoanalysis.Legacy: Rogers' contributions continue to influence psychology, counseling, and therapy today. The humanistic approach has expanded beyond clinical applications to areas such as education, leadership, and personal development.For more such questions on Carl Rogers,, click on:
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The parallel plates in a capacitor, with a plate area of 9.30 cm2 and an air-filled separation of 4.50 mm, are charged by a 7.80 V battery. They are then disconnected from the battery and pulled apart (without discharge) to a separation of 9.60 mm. Neglecting fringing, find (a) the potential difference between the plates, (b) the initial stored energy, (c) the final stored energy, and (d) the work required to separate the plates.
Answer:
a) ΔV ’= 1.66 10¹ V= 16.6 V, b) U = 55.64 10⁻¹² J, c) U_f = 1.18 10⁻¹⁰ J
d) W = 6.236 10⁻¹¹ J
Explanation:
Capacitance can be found for a parallel plate capacitor
C = ε₀ \(\frac{A}{d}\)
Let's reduce the magnitudes to the SI system
A = 9.30 cm² (1 m / 10² cm) 2 = 9.30 10⁻⁴ m²
c = 4.50 mm (1 m / 1000 mm) = 4.50 10⁻³ m
Co = 8.85 10⁻¹² 9.30 10⁻⁴ /4.50 10⁻³
Co = 1.829 10⁻¹² F
when the plates separate at d = 9.60 10⁻³ m, the capcitance changes to
C = ε₀ \frac{A}{d_1}
C = 8.85 10⁻¹² 9.30 10⁻⁴/9.60 10⁻³
C = 8.57 10⁻¹³ F
a) the potential difference
C =
since the capacitor is not discharged, let's look for the initial charge
Co = \frac{Q}{ \Delta V}
Q = C₀ ΔV
Q = 1.829 10⁻¹² 7.80
Q = 14.2662 10⁻¹² C
when the condensate plates are separated
C = \frac{Q}{ \Delta V' }
ΔV ’= Q / C
ΔV ’= 14.266 10⁻¹² / 8.57 10⁻¹³
ΔV ’= 1.66 10¹ V= 16.6 V
b) the stored energy is
U = ½ C ΔV²
for initial separation
U = ½ C₀ ΔV²
U = ½ 1.829 10⁻¹² 7.80²
U = 55.64 10⁻¹² J
c) The energy for end separation;
U_f = ½ C DV’2
U_f = ½ 8.57 10⁻¹³ 16,6²2
U_f = 1.18 10⁻¹⁰ J
d) The work
as there are no losses, the work is equal to the variation of the energy
W = ΔU = U_f -U₀
W = 1.18 10⁻¹⁰ - 55.64 10-12
W = 6.236 10⁻¹¹ J
The radius of the circular path of an ion in a mass spectrometer is given by r=1/B √2Vaccelm/q. Use this equation to explain how a mass spectrometer is able to separate ions of different masses.
The mass spectrometer separates ions of different masses by utilizing the relationship between the strength of the magnetic field, the accelerating voltage, the charge-to-mass ratio of the ions, and the resulting radius of the circular path
What is the mass spectrometer?From the formula in the question;
B is a symbol for the magnetic field's intensity as it is applied to the mass spectrometer.
The accelerating voltage used to move the ions is called Vaccelm.
The charge of the ion, specifically its charge-to-mass ratio (q/m), is represented by the letter q.
The mass spectrometer may selectively alter the radius of the circular route for various ions by varying the magnetic field's intensity (B). This makes it possible to spatially segregate ions with various masses based on their various radii. The ions' locations and masses can then be measured using detectors placed along the journey.
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The 'bar-and-gauge' experiment is designed to show the effect clearly. It is difficult to see the expansion of a metal even when it is heated by several hundred degrees. The bar-and-gauge' experiment is often used to show that a metal expands when heated. Write a brief script for a teacher who wants to use this demonstration of thermal expansion and who also wants to show that metals contract on cooling. Include practical instructions.
Thermal expansion is defined as the property of metals to expand when they are heated.
The metal expands when heated because the atoms move apart more.
An excellent method to demonstrate the concept of thermal expansion is using the bar and gauge experiment.
Both the diameter and the length are precisely comparable when both are at room temperature.
The bar will not fit within the gauge once it has been heated and cooled. Similar to the last instance; the bar will no longer fit flush inside the gauge if the gauge is heated and the bar is cooled.
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how much work is done in accelerating a 2000 kg car from rest to a speed of 30 m/s?
HELP PLEASE !! THANKS
The answer is c, but I'm not sure, just so you know
A man is standing away from the School
Building at a distance of
300m . He claps his hands and hears an echo calculate the time interval of him hearing his echo
The time interval between the man clapping and hearing his echo is approximately 1.75 seconds.
What do you mean by echo?An echo is a repetition or reflection of a sound or signal. It can be caused by sound waves bouncing off a surface, signal interference, or the repetition of a message in communication.
The speed of sound in air at room temperature is approximately 343 meters per second. When a person claps, the sound waves propagate outward in all directions and reach the school building, where they bounce off and return to the person as an echo. The time it takes for the sound to travel the distance to the building and back to the person is the time interval between the clap and the echo.
To calculate the time interval, we can use the following formula:
time = distance / speed
where distance is the total distance traveled by the sound (twice the distance from the person to the school building), and speed is the speed of sound in air.
distance = 2 x 300m = 600m
speed = 343 m/s
time = 600m / 343 m/s = 1.75 seconds (rounded to two decimal places)
Therefore, the time interval between the man clapping and hearing his echo is approximately 1.75 seconds.
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Object 1 with mass 1=3.25 kg
is held in place on an inclined plane that makes an angle
of 40.0∘
with the horizontal. The coefficient of kinetic friction between the plane and the object is 0.535.
Object 2 with mass 2=4.75 kg
is connected to object 1 with a massless string over a massless, frictionless pulley. The objects are then released.
Calculate the magnitude
of the initial acceleration.
Calculate the magnitude
of the tension in the string once the objects are released.
The magnitude of the initial acceleration of the object is 4.2 m/s².
The tension in the string once the object starts moving is 13.65 N.
What is the magnitude of the initial acceleration?The magnitude of the initial acceleration of the object is calculated by applying Newton's second law of motion as follows;
F(net) = ma
m₂g - μm₁g cosθ = a(m₁ + m₂)
where;
m₁ and m₂ are the masses of the blocksg is acceleration due to gravityμ is coefficient of frictionθ is the angle of inclinationa is the acceleration(4.75 x 9.8) - (0.535 x 3.25 x 9.8 x cos40) = a(3.25 + 4.75)
33.5 = 8a
a = 33.5/8
a = 4.2 m/s²
The tension in the string once the object starts moving is calculated as;
T = m₁a
T = 3.25 x 4.2
T = 13.65 N
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RHETORICAL ANALYSIS: How does Robinson use language in effective and engaging ways to develop his argument to his younger self-and, in the process, to young readers in the present? In your response, consider such techniques as metaphor, repetition, and sentence structure.
In "The Argonauts," Robinson effectively utilizes language techniques such as metaphor, repetition, and sentence structure to develop his argument to his younger self and engage young readers in the present. Through these techniques, Robinson creates a powerful and relatable narrative that resonates with his audience.
Robinson employs metaphors to convey complex ideas in a compelling and accessible manner. For instance, he compares his struggle with identity and gender to the mythical journey of the Argonauts, making it relatable and captivating for young readers. This metaphorical language enables readers to grasp the profound emotions and challenges he faced during his own personal journey.
Repetition is another technique Robinson employs to reinforce key ideas and create a rhythmic and memorable reading experience. By repeating certain phrases or concepts, he emphasizes their significance and invites readers to reflect on them. This repetition serves to engage young readers by encouraging them to contemplate their own experiences and perspectives.
Furthermore, Robinson carefully structures his sentences to create a sense of rhythm and flow, enhancing the overall readability and impact of his argument. Short, concise sentences create moments of clarity and emphasis, while longer, more descriptive sentences evoke a contemplative and introspective tone. This varied sentence structure adds depth and nuance to his narrative, captivating young readers and keeping them engaged throughout.
In conclusion, through the effective use of metaphor, repetition, and sentence structure, Robinson engages and captivates young readers, inviting them to reflect on their own identities and experiences. His language choices not only develop his argument to his younger self but also establish a connection with present-day young readers, making his work both impactful and relatable.
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calculate the acceleration due to gravity on the surface of the sun. you can find the relevant data in appendix c of the text.
Use these uncertainties to estimate the biggest and smallest possible values you could get for gravity:
g (low) = 2h / ( t + Δt )²
g(high) = 2h / ( t - Δt )²
What is a simple definition of gravity?The force that pulls items toward the center of a planet and other entity is called gravity. Each of the planets are kept in orbits around the sun by gravity.
Briefing:First, choose an area where you can dump your small thing. Drop from a height that is sufficient to reduce the relative proportion of time needed to start and stop the stopwatch but not excessive enough to start affecting the outcome due to air resistance One narrative is a decent middle ground.
The fall distance of the object is measured in meters. The entire course uses metric measurements only!
At least twenty times, time the thing falling.
Use the relationship to get the earth's acceleration owing to gravity (derived from calculus))
g = 2h / t2
where t is the median fall time and h is the fall height.
To calculate your random uncertainty, use your spread in t values:
Δt = (largest duration – lowest duration) / 2.
g (low) = 2h / ( t + Δt )²
g (high) = 2h / ( t - Δt )²
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An astrophysicist mounts two thin lenses along a single optical axis (the lenses are at right angles to the line connecting them, and they appear concentric when viewed from either end). The lenses are identical, each with a positive (converging) focal length of 15.2 cm. They are separated by a distance of 40.2 cm. Lens 1 is to the left of Lens 2. In order to evaluate the lens combination as a single optical instrument, the teacher places an object 30.0 cm in front of (to the left of) Lens 1.
Required:
a. What is the final image's distance (in cm) from Lens 2? (Omit any sign that may result from your calculation.)
b. Where is the final image located?
c. What is the overall magnification of the lens pair, considered as a single optical instrument?
Answer:
1 / i + 1 / o = 1 / f thin lens equations
i = o f / (o - f) rearranging
Lens 1: object = 30 cm f = 15.2 cm
i1 = 30 * 15.2 / (30 - 15.2) = 30.8 cm
o2 = 40.2 - 30/8 = 9.4 cm distance of image 1 from lens 2
i2 = 9.4 * 15.2 / (9.4 - 15.2) = - 24.6 cm
The final image is 24.6 cm to the left of lens 2
The first image is inverted
The second image is erect (as seen from the first image)
So the final image is inverted
M = m1 * m2 = (-30.8 / 30) * (24.6 / 9.4) = -2.69
It can be deduced that the final image's distance from Lens 2 will be 30.8 cm.
How to calculate the distanceBy using the Lens formula, the distance will be calculated thus:
1/v + 1/u = 1/15.2
1/v + 1/30.0 = 1/15.2
v = 30.8cm
In this case, the image formed will be to the right.
Lastly, the overall magnification of the lens pair will be:
M = (30.8/30.0)[(-28.4/40.7 - 30.8)]
M = -2.94.
In conclusion, the magnification is -2.94.
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c) A steel ring of radius 444mm is to be slipped on to a brass wheel of radius 450mm. To what maximum temperature
should the steel ring be heated to enable fitting? What will be the stresses in the materials on cooling if the cross-
sectional dimension of the steel ring is 20mm x 5mm and that of the brass wheel is 20mm x 40mm? (E for steel is
200GPa, E for brass is 95GPa and coefficient of expansion for steel is 12 x 10-6/°C (12 Marks)
&
10cm=16m
According to the information, the steel ring should be heated to a maximum temperature of approximately 50.67°C to enable fitting; and the stresses in the materials on cooling will be approximately 17.04 MPa in the steel ring and 2.11 MPa in the brass wheel.
How to calculate the linear thermal expansion?To enable fitting, the steel ring needs to expand in size so that its inner diameter matches the outer diameter of the brass wheel. We can use the formula for linear thermal expansion:
ΔL = α * L0 * ΔTWhere ΔL is the change in length, α is the coefficient of linear expansion, L0 is the initial length, and ΔT is the change in temperature. By substituting the given values and solving for ΔT, we find that the steel ring needs to be heated to a maximum temperature of approximately 50.67°C.
How to calculate the stress in the materials?The stresses in the materials can be calculated using the formula:
Stress = (Force / Area)Since the dimensions of the cross-sections are given, we can calculate the areas of the steel ring and brass wheel. The force can be calculated using the equation:
Force = Young's modulus * Change in length / Initial lengthBy substituting the given values for Young's modulus, change in length, and initial length, we can calculate the forces in both materials. Finally, by dividing the forces by their respective areas, we can determine the stresses in the steel ring and brass wheel, which are approximately 17.04 MPa and 2.11 MPa, respectively.
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which energy resource is renewable
Explanation:
solar energy is the answer