The position of the image relative to the mirror v = 20cm, position of the image behind the mirror.
Since object is always placed in front of the mirror
Hence, object distance will be negative
Object distance (u) = - 100cm
Focus of a convex mirror is behind the mirror
Hence focal length will be positive
Focal length (f)= + 25cm
Find position of the image
Let the image distance = v
Using formula,
\(\frac{1}{v}\) +\(\frac{1}{u}\) = \(\frac{1}{f}\)
\(\frac{1}{v}\) = \(\frac{1}{f} - \frac{1}{u}\)
\(\frac{1}{v} = \frac{1}{25} - \frac{1}{-100}\)
\(\frac{1}{v} = \frac{1}{25} + \frac{1}{100}\)
\(\frac{1}{v} = \frac{4 + 1}{100}\)
\(\frac{1}{v} = \frac{5}{100}\)
v = \(\frac{100}{5}\)
v = 20cm
Since v is positive
Hence, image is 20cm behind the mirror
Nature of image is Virtual and erect.
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A snake slithered across the sidewalk in between two sign posts. At the first sign post
his speed was 1. 2 m/s. At the second sign post his speed was 1. 2 m/s. This is an example
of.
According to the information, we can infer that the snake's constant speed throughout its movement is an example of uniform motion.
How to calculate the constant speed of the snake?To calculate the constant speed of the snake we have to consider that uniform motion refers to the consistent speed of an object without any change in its velocity.
According to the above, we can infer that the snake's speed remains constant at 1.2 m/s from the first sign post to the second sign post. Since there is no acceleration or change in speed, the snake's motion can be classified as uniform motion.
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A body has an initial velocity of 12 m s^-1 and is brought to rest over a distance of 45 m. What is the acceleration of the body?
Answer:
-1.46 m/s^2
Explanation:
Write down what is given first:
v0 = 12 m/s
vf = 0 m/s
d = 45 m
We are trying to find acceleration, so we will use the equation vf^2 = v0^2 + 2ad
Plug in the values we have:
0^2 = 12^2 + (2 x 45 x a)
a = - 1.46 m/s^2
Note that this acceleration is negative because the body is slowing down, so the acceleration with be negative, because the change in velocity is negative.
According to the given statement - 1.46 m/s² is the acceleration of the body.
What is a acceleration explain?Acceleration is the rate of change in a moving asteroid's speed and direction over time. When something moves faster or slower, it is considered to be accelerating.
How is acceleration determined?Use the formula a = v / t to determine acceleration, where v stands for the change in velocity and t for the time it took for the change to take place. Use the formula v = vf - vi to determine v, where vf stands for final velocity and vi for starting velocity.
Briefing:Write down what is given first:
v0 = 12 m/s
vf = 0 m/s
d = 45 m
We are trying to find acceleration, so we will use the equation
vf² = v0² + 2ad
Plug in the values we have:
0² = 12² + (2 x 45 x a)
a = - 1.46 m/s²
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the darcy-weisbach formula states that the rate of energy loss in a pipe is
The Darcy-Weisbach formula is used to calculate the rate of energy loss in a pipe due to frictional losses. This formula is commonly used in the field of fluid mechanics and is based on the principle that the pressure drop across a pipe due to frictional losses is proportional to the square of the flow rate.
The formula can be expressed as follows:
ΔP = (f * L * ρ * V^2) / (2 * D)
Where ΔP is the pressure drop across the pipe, f is the Darcy friction factor, L is the length of the pipe, ρ is the density of the fluid, V is the average velocity of the fluid, and D is the diameter of the pipe.
The Darcy friction factor is a dimensionless quantity that depends on the Reynolds number, which is a measure of the fluid flow regime. For laminar flow, the friction factor is constant and equal to 64/Re. For turbulent flow, the friction factor is more complicated and depends on the roughness of the pipe wall, as well as the Reynolds number.
Overall, the Darcy-Weisbach formula is an important tool for engineers and scientists who need to design and analyze piping systems. By using this formula, they can estimate the pressure drop across a pipe and ensure that the system is operating efficiently.
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An elaborate pulley consists of four identical balls at the ends of spokes extending out from a rotating drum. A box is connected to a light, thin rope wound around the rim of the drum. When it is released from rest, the box acquires a speed V after having fallen a distance d. Now the four balls are moved inward closer to the drum, and the box is again released from rest. After it has fallen a distance d, will its speed be equal to V, greater than V, or less than V? Show or explain why.
Answer:
its speed will be less than V
Explanation:
When the ball falls a distance d, its final kinetic energy plus rotational kinetic energy of the drum equals its initial potential energy.
K = U
With its speed V at the end of d, we have
1/2mV² + 1/2Iω² = mgd where I = rotational inertia of drum and balls, ω = angular speed of drum and balls and m = mass of box
1/2mV² + 1/2Iω² = mgd
1/2mV² = mgd - 1/2Iω²
V² = [2(mgd - 1/2Iω²)/m]
V = √[2(mgd - 1/2Iω²)/m]
When the four balls are moved inward closer to the drum, their rotational inertia increases and also its angular speed which thus causes an increase in rotational kinetic energy. But, since the box still falls the same distance of d, its final kinetic energy plus rotational kinetic energy of the drum plus balls still equals its initial potential energy
K = U
I' = new rotational inertia of drum and balls, ω' = new angular speed of drum and balls
With its new speed is now V' at the end of d,
1/2mV'² + 1/2I'ω'² = mgd
1/2mV'² = mgd - 1/2I'ω'²
V² = [2(mgd - 1/2I'ω'²)/m]
V' = √[2(mgd - 1/2I'ω'²)/m]
Since I' and ω' increase, the rotational kinetic energy of the drum and balls (1/2I'ω'²) increases. Thus, the difference (mgd - 1/2I'ω'²) < (mgd - 1/2Iω²) which implies that the kinetic energy of the box decreases. Hence, since its kinetic energy decreases, its speed V' also decreases.
So, V' < V
So, its speed will be less than V.
what are 3 sources of heat inside earth?
1. Heat from when Earth was formed.
2. Frictional Heat, which is caused by heavier core material sinking to the center of the Earth.
3. Heat from the decay of elements that are radioactive.
A square wire loop with 1.8 m sides is perpendicular to a uniform magnetic field, with half the area of the loop in the field as shown in the figure. The loop contains an ideal battery with emf Script uppercase E.
The net emf in the circuit is -0.81 V/s, and the net current flows counterclockwise around the loop.
To determine the net emf and the direction of the net current around the loop, we need to consider Faraday's law of electromagnetic induction, which states that the induced emf in a circuit is equal to the rate of change of magnetic flux through the loop.
The magnetic flux (Φ) through the loop can be calculated by multiplying the magnetic field (B) by the area (A) of the loop:
Φ = B * A
Given that half of the loop's area is in the magnetic field, the effective area will be \(\frac{A}{2}\).
(a) Net emf in the circuit:
The induced emf (ε) can be calculated as the negative rate of change of magnetic flux with respect to time:
ε = -dΦ/dt
Differentiating the given expression for Φ with respect to time (t), we get:
ε = -(d/dt)(B * \(\frac{A}{2}\))
= -(A/2) * (dB/dt)
Substituting the given values, where B = 0.50t² T, we can find the net emf:
ε = -(1.8 m * 1.8 m) * (dB/dt)
= -(0.81 m²) * (d/dt)(0.50t² T)
= -(0.81 m²) * (1 T/s)
Simplifying, we find the net emf:
ε = -0.81 V/s
(b) Direction of the net current around the loop:
According to Lenz's law, the direction of the induced current is such that it opposes the change in magnetic flux. Since the magnetic field is increasing with time, the induced current will flow in a direction to create a magnetic field opposing the external field.
Therefore, the net current in the loop will flow in a counterclockwise direction, as viewed from above the loop.
To summarize:
(a) The net emf in the circuit is -0.81 V/s.
(b) The net current flows counterclockwise around the loop.
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Complete Question is: A square wire loop with 1.8 m sides is perpendicular to a uniform magnetic field, with half the area of the loop in the field as shown in Fig. The loop contains an ideal battery with emf . If the magnitude of the field varies with time according to with in teslas and in seconds, what are
(a) the net emf in the circuit and
(b) the direction of the (net) current around the loop?
describe how the stars in a constellation are connected to one another.
The stars in a constellation are completely unrelated to one another. An arrangement of stars is called a constellation.
In astronomy, a constellation is a collection of stars that collectively form a particular fictitious pattern. Due to the identification and naming of these patterns over time, there are currently 88 constellations, including constellations like Orion and Aquarius.
Additionally, constellations serve a variety of functions because navigators have employed them for ages. For instance, a navigator may find Polaris, which denotes the North Pole, by pinpointing the constellation Ursa Minor. Additionally, it has made it possible for astronomers to find objects like planets. This suggests that constellations are designated star patterns used in astronomy and navigation.
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A 5 kg object is moving downward at a velocity of 12 m/s and is
currently 2.6 meters above the ground.
calculate its kinetic energy
calculate its potential energy
calculate its mechanical energy
Answer:
the first one i think
Explanation:
What is brewster’s angle for light traveling in water that is reflected from crown glass?.
The correct answer to Brewster’s angle is 48.8 degrees.
What is Brewsters's law?
The Brewster's angle is the angle of incidence at which polarised light travels perfectly through a clear dielectric surface without being refracted. The light that is reflected from the surface when unpolarized light is incident at this angle is therefore perfectly polarised.
This equation's name is Brewster's law, and the angle it specifies is Brewster's angle. For a glass medium in air, Brewster's angle for visible light is around 56° (n2 = 1.5), while it is roughly 53° for an air-water interface (n2 = 1.33)
Brewster's Angle is defined as the inverse tan of n 2 over n 1. The inverse tan of 1.52 divided by 1.33 is thus 48.8 degrees.
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Which is a characteristic of a physical change? (1 point)
a
The chemical bonds in the substance are unchanged.
b
The change cannot be seen.
c
The molecules all move at the same speed.
d
The substance has reacted with another substance.
What power is emitted by a circuit with a 9.00 volt battery and a 50.0 Ohm resistor? A)450 W B)0.00222 W C)1.62 W D)5.55 W E)0.180 W
Given,
Voltage, V=9 V
Resistor, R=50.0 ohm
To find
The power emitted by the battery.
Explanation
The power is:
\(\begin{gathered} P=\frac{V^2}{R} \\ \Rightarrow P=\frac{9^2}{50} \\ \Rightarrow P=1.62\text{ W} \end{gathered}\)Conclusion
The power is: C.1.62W
How energy efficiency can reduce energy consumption?
Answer:
The energy efficiency represents the things you can do with some amount of energy, and if you can do more with less, than it reduces the energy consumption.
Explanation:
The answer to this question is actually very simple. Imagine that you use only the half of the energy you produce, an efficiency of 50%. Lets say you need 5kJ, so you would need to produce 10kJ, because you can consume only the half. Now, imagine you increase the efficiency, you use exactly what you can generate, (efficiency of 100%). In this case, if you needed only 5kJ you would need to generate only 5kJ.
which of these traits is NOT found in invertebrates
a. antennae
b. eyes
c. endoskeleton
d. none of them
Answer:
D) None of the Above
I hope this is correct; Let me know if it is in the comments.
A group of friends push a van, using a total force of 220 N. The van moves a distance of 0.2 m. How much work have they done?
Answer:
44
Explanation:
Work = Force X Distance
A bullet is fired upward with an initial velocity of 100 m/s. What will be it’s velocity when it hit the ground?
A bullet is fired upward with an initial velocity of 100 m/s. What will be it’s velocity when it hit the ground?
Zero. It is sitting on the ground. This would almost always “assume” a friction-less environment where the only force acting on the bullet is gravity. In this case, it would be 100 m/s immediately before hitting the ground. (zero once it comes to rest)
what is the weight of a 45kg box
____ N
The weight of a \(45 kg\) box is \(441.45 N\).
Weight refers to the measure of the force exerted on an object due to the gravitational pull of the Earth.
Given the mass of the box is \(m=45 kg\).
The weight of an object (\(W\)) can be found by multiplying the mass of the object (\(m\)) by the acceleration due to gravity (\(g\)).
So, \(W=mg\).
It is known that acceleration due to gravity, \(g=9.81 m/s^2\).
Hence, the weight of the box, \(W=(45kg)\times (9.81 m/s^2)\).
\(\Rightarrow W=441.45 (kg\cdot m/s^2)\\\Rightarrow W=441.45 N\)
Therefore, the weight of the box is \(441.45 N\).
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What label should mateo place in the marked cell? uses electrical energy provides electrical energy measures electric current controls electric current
The product label which Mateo should place in the marked cell is that it: B. provides electrical energy.
What is a product label?A product label can be defined as a paper-document with specific information about the chemical elements, nutrients, and other chemical compounds that are present in a product and its general use or function.
In this scenario, the product label which Mateo should place in the marked cell shown in the image attached below is that, this product was designed and developed to provide electrical energy, based on the electrical symbol for battery.
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how is the frictional force produced?
Answer:
frictonal force due to the surface of irregularities
An Olympic sprinter runs towards you while holding a green glow stick. Assuming you had sensitive enough equipment, the light from the glow stick will appear: Blueshifted Greenshifted As a blackbody O Redshifted
The light from the green glow stick held by the Olympic sprinter will appear redshifted.
The phenomenon of redshift occurs when the source of light is moving away from the observer. In this case, as the sprinter is running towards you, the distance between you and the glow stick is decreasing over time. This decrease in distance causes a Doppler shift in the frequency of the light emitted by the glow stick.
Since the light is redshifted, its wavelength increases and the frequency decreases compared to its original emitted frequency. As a result, the light that reaches your eyes appears more towards the red end of the visible spectrum.
It is important to note that the color of the glow stick itself remains the same, but due to the relative motion between the source (the sprinter) and the observer (you), the light undergoes a change in frequency and appears redshifted.
This phenomenon is similar to the redshift observed in cosmology, where the light from distant galaxies appears to be redshifted due to the expansion of the universe.
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Compare the momentum of a 7160 kg truck moving at 5.00 m/s to the
momentum of a 2240 kg car moving at 15.0 m/s.
Answer:
2,200
Explanation:
truck=35800,car=33600
Two students record the distance they each traveled in 60 seconds in the data table shown.
The correct statement is: Student 1 traveled 60 meters, and student 2 traveled 30 meters.
Calculate the speed of each student:
Student 1: 40 meters / 60 seconds = 0.67 meters per second
Student 2: 20 meters / 60 seconds = 0.33 meters per second
Use the speed to calculate the distance each student would travel in 90 seconds:
Student 1: 0.67 meters per second × 90 seconds = 60 meters
Student 2: 0.33 meters per second × 90 seconds = 30 meters
Therefore, the correct statement is: Student 1 traveled 60 meters, and student 2 traveled 30 meters.
What is speed?
Speed is a measure of how fast an object is moving. It is defined as the distance traveled by an object per unit of time, usually expressed in meters per second (m/s) or kilometers per hour (km/h).
The formula for calculating speed is:
Speed = Distance / Time
Where distance is the distance traveled by the object, and time is the duration of the travel.
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Q3. A man walks with a speed of 8 m/sec in 40 sec. How much distance was covered?
Answer:
it is320 m.
Explanation:
by formula
d= m/s×t
d= 8× 40
d=320 m
Answer:
320
Explanation:
Solve the following question and select the final answer:
The momentum of a bullet of mass 20kg fired from a gun is 10 kg m/s. The kinetic energy of this bullet in Kj will be:
a)5
b)1.5
c)2.5
d)25
Answer: 2.5
Explanation:
The mass of bullet = 20kg
The momentum of the bullet = 10kg m/s
The kinetic energy of this bullet in Kj will be calculated as:
= p² / 2m
= 10² /(2 × 20)
= (10 × 10) /(2 × 20)
= 100/40
= 2.5
Therefore, the correct option is C.
49. A block is pushed across a horizontal surface with a
coefficient of kinetic friction of 0.15 by applying a
150 N horizontal force.
(a) The block accelerates at the rate of 2.53 m/s2
Find the mass of the block.
(b) The block slides across a new surface while
experiencing the same applied force as before.
The block now moves with a constant speed.
What is the coefficient of kinetic friction between
the block and the new surface?
Answer:
(a) 37.5 kg
(b) 4
Explanation:
Force, F = 150 N
kinetic friction coefficient = 0.15
(a) acceleration, a = 2.53 m/s^2
According to the newton's second law
Net force = mass x acceleration
F - friction force = m a
150 - 0.15 x m g = m a
150 = m (2.53 + 0.15 x 9.8)
m = 37.5 kg
(b) As the block moves with the constant speed so the applied force becomes the friction force.
\(F = \mu m g \\\\150 = \mu\times 37.5\\\\\mu = 4\)
ignore this accident
So free point OK ty see ya!
Car A runs a red light and broadsides Car B, which is waiting to make a left turn. Car A has a mass of 2,000 kg. Car B has a mass of 1,500 kg. After the impact, the cars stick together and slide away at a speed of 9.1m/s. How fast was Car A going when it hit Car B? Show your work.
The initial speed of Car A when Car B is waiting to turn left is 15.9 m/s. After hitting, Cars A and B travel at speeds of 9.1 m/s.
The law of conservation of momentum is defined as the momentum being conserved before and after the collisions. The momentum of the entire system remains constant. Momentum is defined as the product of speed with direction and mass.
From the given,
the collision is inelastic and hence the law of conservation of momentum is, m₁u₁ + m₂u₂ = (m₁+m₂)v
m₁ (mass of Car A) = 2000 kg
m₂(mass of Car B) = 1500 Kg
The initial momentum of Car A(u₁) =?
The initial momentum of Car B(u₂) = 0 (Car B is waiting to take a left turn and hence its velocity decreases and becomes zero)
The final momentum of both cars A and B =9.1 m/s
m₁u₁ + m₂u₂ = (m₁+m₂)v
2000×X + 1500×0 = (2000+1500)×9.1
2000X = 3500×9.1
X = 15.9 m/s
Thus the initial speed of car A is 15.9 m/s or 16 m/s.
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Module 3 Discussion!
After reading Ch.12 and 13 of the text (The essentials of Finance and Accounting for nonfinancial managers/ Third Edition) on Strategy and Financial Forecasting, watching the SWOT video based on Paley’s Products from the Ratio Analysis in Module 2 and the additional narrative information in Appendix C, Phase
Create a SWOT analysis that will reflect the TOWS analysis as described in Ch. 12 of the text. The purpose of the SWOT analysis is to lay out several issues and possibilities to be considered in Paley’s strategic planning. The strengths and weaknesses are internal issues, whereas the opportunities and threats are external.
The second part of the analysis is to create actions based on the SWOTs. This is sometimes called a TOWS analysis and is done by comparing the boxes, two at a time:
Offensive actions come from strengths that link to opportunities, so a specific strength can be applied to exploit an opportunity.
Adjusting actions come from addressing weaknesses, which then can be used to exploit opportunities that previously had not been possible.
Turnaround actions come from weaknesses that link to threats. These are high-risk issues where a priority needs to be given to addressing the weakness to minimize the vulnerability.
Defensive actions come from threats that link to strengths. These are latent issues because if the threat materializes, an already-existing strength is available to counter it.
Additional actions can be included to address other issues not directly identified in the SWOTs.
3. From the actions identified in part 2, pick 3-5 strategic actions that you feel Paley must achieve or at least start in the upcoming year and state your reasons for including them.
Attach your completed SWOT form and list of strategic actions with supporting logic and facts from the case as your answer for this discussion question. These actions are the foundation for the strategic plan
SWOT Analysis Strengths- Paley’s Products has a low overhead cost with the company operating at a high level of efficiency, resulting in competitive pricing.- They have a team of experienced employees who have worked in the industry for several years.- They have a variety of products in the portfolio that can satisfy customers from different sectors.- They are reputable and have a loyal customer base.Weaknesses- They have been slow to adopt new technology, and this may be a disadvantage to the company.- Limited marketing and sales promotion are affecting their sales revenue.-
They depend on a few key customers for the bulk of their sales revenue, leaving them vulnerable to market changes.Opportunities- Expansion of the product line to include unique products.- The establishment of strategic partnerships with other businesses in the industry.- Exploration of new markets, such as international markets.- Improvement of marketing techniques to increase brand awareness.Threats- Changes in consumer preferences towards environmentally friendly products.- Increase in competition from other businesses in the industry.- Fluctuating market prices for raw materials that may lead to price increases.
Strategic Actions to be taken by Paley Products1. Development of an E-commerce platform to allow online transactions with customers. The E-commerce platform will enable Paley to reach a wider customer base, expand its reach, and increase sales revenue.2. Investment in the research and development of new environmentally friendly products. Paley will remain competitive and cater to the needs of consumers who prefer green products.3. Establishment of strategic partnerships with other businesses in the industry to leverage the strength of other companies in the industry and to develop new products or increase market share.4. Improvement of marketing techniques to increase brand awareness and improve visibility. A marketing strategy that incorporates social media and other digital channels can help promote the brand to potential customers.5. Expansion into international markets. This will enable Paley to diversify its customer base and generate more revenue. Paley can start by targeting nearby countries, then expand globally as they gain more experience and financial stability.
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You can smell an open bottle of perfume in a room because __________.
A. the liquid vaporizes and the resulting gas molecules wander about the room
B. the scent travels without needing a medium to travel through
C. the air molecules bond with some of the perfume, carrying it around the room
D. the perfume in the bottle is under pressure
Answer:
The answer is C
Explanation:
I've just answered this question on a quiz
Silver has
5.8×10 28
free electrons per m 3
. If the current in a 2 mm radius silver wire is 5.0 A, find the velocity with which the electrons drift in the wire.
The velocity with which the electrons drift in the silver wire is approximately 1.58 x 10^-4 m/s.
To find the velocity with which electrons drift in a silver wire, we can use the formula:
I = nAvq
where:
I is the current (in amperes),
n is the number of free electrons per unit volume (in m^3),
A is the cross-sectional area of the wire (in m^2),
v is the drift velocity of electrons (in m/s), and
q is the charge of an electron (approximately 1.6 x 10^-19 C).
Given:
I = 5.0 A (current)
n = 5.8 x 10^28 m^-3 (number of free electrons per m^3)
A = πr^2 = π(0.002 m)^2 (cross-sectional area)
q = 1.6 x 10^-19 C (charge of an electron)
First, we calculate the cross-sectional area of the wire:
A = π(0.002 m)^2 = 1.2566 x 10^-5 m^2
Next, we rearrange the formula and solve for v:
v = I / (nAq)
v = 5.0 A / (5.8 x 10^28 m^-3 * 1.2566 x 10^-5 m^2 * 1.6 x 10^-19 C)
v ≈ 1.58 x 10^-4 m/s
Therefore, the velocity with which the electrons drift in the silver wire is approximately 1.58 x 10^-4 m/s.
The drift velocity represents the average velocity at which the electrons move in the wire under the influence of an electric field. It is relatively small due to frequent collisions with lattice ions and other electrons within the wire.
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Electrical energy is supplied to a string of lights. What forms of energy are lost?
Answer:
In what forms is the electrical energy that is supplied to a string of decorative lights dissipated? It is converted to thermal energy and light energy.
Answer:
Energy loss. When energy is transformed from one form to another, or moved from one place to another, or from one system to another there is some energy loss. This means that when energy is converted to a different form, some of the input energy is turned into a highly disordered form of energy, like heat.
Energy losses in lights are very large; most of the input energy is lost in the form of heat energy.
Explanation: