An object is placed 10cm in front of a concave mirror whose radius of curvature is 10cm calculate the position ,nature and magnification of the image produced
Answers
Answer:
The focal length, f = − 15 2 c m = − 7.5 c m The object distance, u = -10 cm Now from the mirror equation 1 v + 1 u = 1 f 1 v + 1 − 10 = 1 − 7.5 v = 10 × 7.5 − 2.5 = − 30 c m The image is 30 cm from the mirror on the same side as the object.
Given:
Object distance (u) = -10 cm (negative sign indicates the object is in front of the mirror)
Radius of curvature (R) = -10 cm (negative sign indicates a concave mirror)
Using the mirror equation:
1/f = 1/v - 1/u
Since the radius of curvature (R) is twice the focal length (f) for a concave mirror, we can substitute R = -2f into the equation:
1/(-2f) = 1/v - 1/u
Simplifying the equation:
-1/2f = 1/v - 1/u
Now, substitute the given values:
-1/2f = 1/v - 1/(-10 cm)
To solve for v, we need to solve the equation above.
To determine the nature of the image, we consider the following scenarios:
- If v is positive, the image is formed on the same side as the object (real image).
- If v is negative, the image is formed on the opposite side as the object (virtual image).
To find the magnification (m), we can use the formula:
m = -v/u
Now, let's calculate the position, nature, and magnification of the image.
Substituting the values into the equation and solving for v:
-1/2f = 1/v + 1/10 cm
Simplifying the equation:
-1/2f - 1/10 cm = 1/v
Combining the fractions:
(-5 cm - f) / (10f cm) = 1/v
Multiplying both sides by v:
v(-5 cm - f) / (10f cm) = 1
Simplifying:
v = (10f cm) / (-5 cm - f)
Substituting the value of f (focal length) for a concave mirror (R/2 = -10 cm/2 = -5 cm):
v = (10(-5 cm) cm) / (-5 cm - (-5 cm))
v = 50 cm / 0
v = Undefined (Division by zero)
Based on the calculation, we can observe that the image position is undefined. This indicates that no image is formed by the concave mirror in this scenario.
Related Questions
Which of the following best describes the relationship between the flow rate of streams and the types of organisms that live in the streams?
A.
The faster the stream flows, the more plant life it contains.
B.
The slower the stream flows, the more plant life it contains.
C.
There is no relationship between the flow rate of streams and the organisms that live in them.
D.
The faster the stream flows, the more diverse its organisms are.
Answers
The flow rate of streams can affect the types of organisms that live in them. In general, faster-flowing streams tend to have more diverse communities of organisms than slower-moving streams. This is because fast-moving water can support a wider variety of species, including those that require high oxygen levels and those that are adapted to withstand the force of the water. Slower-moving streams, on the other hand, may have fewer species and are often dominated by plants, algae, and other organisms that can thrive in low-oxygen environments.
Therefore, option D is the best description of the relationship between the flow rate of streams and the types of organisms that live in them.
For every increase in mass, the gravitational force
.
If the total mass increases by a factor of 4, the gravitational force
.
Answers
For every increase in mass, the gravitational force increases by the same amount. If the total mass increases by a factor of 4, the gravitational force increases by a factor of 4.
What is Gravitational force?This is referred to as the force of attraction which exists between matters which are present in the universe and it has a direct relationship with mass and effect also being the same in which the higher the mass, the higher the gravitational force and vice versa.
This therefore explains why when the total mass increases by a factor of 4, the gravitational force increases by a factor of 4 ad vice versa thereby making it the most appropriate choice.
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The car was initally traveling at 25 m/s. The car slows with a negative acceleration as shown. How long does it take the car to slow to a final velocity of 2.0 m/s?
Answers
Answer:
t = 2.35sExplanation:
Using one of the equation of motion expressed as v = u+at where;
v is the final velocity = 2.0m/s
u is the initial velocity = 25m/s
a is the acceleration = -a (since the acceleration is negative)
t is the time taken
Substituting the given parameters into the formula above;
2.0 = 25-9.81t
subtract 25 from both sides
2.0 - 25 = 25-9.81t - 25
-23 = -9.81t
Divide both sides by -9.81
-23/-9.81 = -9.81t/-9.81
t = 23.0/9.81
t = 2.35s
Hence it took the car 2.35s to slow to a final velocity of 2.0 m/s
The motion of a particle is described by x= 10 sin2t + 8cos2t. Determine the period, amplitude and phase angle
Answers
If the motion of a particle is described by x=10 sin2t+8cos2t then the period , amplitude and phase angle will be:-
Period of the function is given by the reciprocal of the frequency, which is 1/2. Thus, the period is T = 2/1 = 2.
The amplitude of the function is given by the maximum value of the function minus the minimum value of the function. The maximum value of the function is 10 + 8 = 18 and the minimum value of the function is -10 + 8 = -2. Thus, the amplitude is A = 18 - (-2) = 20.
The phase angle is given by the angle between the x-axis and the line representing the function. The function is a combination of sine and cosine functions, so the phase angle is given by the angle between the x-axis and the line y = 10x + 8. The slope of this line is 10, so the phase angle is tan^-1(10) = 84.3 degrees.
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What is defined by force per unit area?
O temperature
O gravity
O force
O pressure
Answers
Kinetic energy is transferred from a bowling ball to a bowling pin, causing the pin to fly away at a much higher speed than the bowling ball. What does this tell you about the bowling pin? (1 point) The pin has a much lower mass than the ball. The pin has much less kinetic energy than the bowling ball. O The pin has a much higher mass than the ball. The pin has more kinetic energy than the bowling ball.
Answers
Answer:
this might help
Explanation:
A bowling ball collides with a pin and pushes the pin toward the right. ... The object has mass, but it does not have any "mass in motion" ... a 20-kilogram object falls 2.0 meters to the floor. at what point in its fall does the kinetic energy if a body equal its potential energy.
Which acid-base chemical reaction is irreversible?(1 point)
weak acid added to water
strong acid added to water
water on its own
weak base added to water
Answers
An irreversible reaction is a reaction that tends to completion. When a strong acid added to water, the reaction is irreversible.
In chemistry, a reaction may be reversible or irreversible. In a reversible reaction, the reaction could move forward or backwards. An irreversible reaction only tends towards completion. It doesn't goes in the reverse direction.
When a weak acid or base is added to water, the reaction is reversible because the substance does not ionize to a large extent in water and the equilibrium position may lie towards the far left. However, a strong acid or base achieves 100% ionization in water hence the reaction is irreversible.
Therefore, when a strong acid added to water, the reaction is irreversible.
https://brainly.com/question/1515003
Answer:
1. strong acid added to water
2. The dissociation constant for hydrochloric acid is greater than the dissociation constant for acetic acid.
3. HA, HC, HB
4. decreasing the concentration of OH– ions
HOPE THIS HELPS
In the photoelectric effect, a beam of light impinges on a metal, and it is observed that electrons are ejected from the metal in greater numbers as the?
Answers
In the photoelectric effect, a beam of light impinges on metal, and it is observed that electrons are ejected from the metal in greater numbers as the intensity of light increases.
In physics, the photoelectric effect refers to a phenomenon in which the emission of charged particles takes place from a material or substance after absorbing electromagnetic radiation.
When light hits the surface of the material then electrons are released known as photoelectrons.
This phenomenon better explains the quantum nature of electrons and light.
Moreover, the study of the dual nature of wave particles has further expanded the scope, investigation, and understanding of the matter.
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how to calculate displacement
Answers
Velocity = displacement/time
Using the formula above
Displacement = velocity•time
Based on the forces of inertia and momentum, ________ varies according to speed, weight, and the distance between impact and stop.
Answers
The amount of force required to stop an object, based on the forces of inertia and momentum, varies according to speed, weight, and the distance between impact and stop.
Inertia is the tendency of an object to remain in motion unless acted upon by an outside force, while momentum is the product of an object's mass and velocity. The amount of force required to stop an object is proportional to its mass, velocity, and the distance it needs to travel before it comes to a stop. The greater the mass, velocity, and distance, the more force is required to stop the object.
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what hold two or more atom together i a compound
Answers
Answer:
Chemical bonds are forces that hold atoms together to make compounds or molecules. Chemical bonds include covalent, polar covalent, and ionic bonds. Atoms with relatively similar electronegativities share electrons between them and are connected by covalent bonds.
Explanation:
What type of circuit is pictured?
O Parallel Circuit
Series Circuit
Answers
Answer:
Parallel Circuit
Explanation:
Check the image below
in series circuits currents can only flow in one direction
In parallel circuits currents can flow through more than one path
Because the circuit shown has two pathways it is considered a parallel circuit
Answer:
Parallel Circuit
Explanation:
Hope this helps
In the figure below. O is the centre of the circle and AB is a chord. For each of the following cases, find the perpendicular distance of the chord from O.
(a) radius = 13 cm and AB = 10cm
(b) radius = 11 cm and AB = 7.8cm
Answers
The perpendicular distance of the chord from(a) radius = 13 cm and AB = 10cm is 6 cm, (b) radius = 11 cm and AB = 7.8cm is 5.52 cm.
To find the perpendicular distance of a chord from the centre of a circle, we need to draw a perpendicular line from the centre to the chord and measure the length of this line.
Using the formula d = √\((r^2 - (AB/2)^2)\), where d is the perpendicular distance, r is the radius, and AB is the length of the chord, we can solve for the distance in each case.
(a) d = √\((13^2 - (10/2)^2)\)= √(169-25) = √144 = 12, so the perpendicular distance is 6 cm.
(b) d = √\((11^2 - (7.8/2)^2)\)= √(121-30.69) = √90.31 ≈ 9.50, so the perpendicular distance is 5.52 cm (rounded to two decimal places).
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an electric current transports of charge in milliseconds. calculate the size of the electric current.
Answers
The size of the electric current is 155 Amperes.
Calculation:
I = Q / t
I = 93.0 C / 0.601 s
I = 155 C/s
I = 155 A
Electric current is the flow of charged particles such as electrons and ions, that travel through a conductor or space. It is measured as the net flux of charge to the surface or control volume. Electricity starts with atoms.
Atoms are made up of protons neutrons and electrons. Electricity is generated when electrons are moved from atom to atom by an external force. The flow of electrons is called current. Current refers to the flow of current in an electronic circuit and the amount of current that flows through the circuit.
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a constant force of 160n acts on an object in the horizontal direction. the force moves the object forward 75m in 2.3 seconds. what is the object’s mass?
Answers
Substituting the given values, we have: mass = 160 N / (75 m / 2.3 s). To determine the object's mass, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.
In this case, the force is 160 N and the acceleration can be calculated using the formula: acceleration = change in velocity / time
The change in velocity can be determined by dividing the displacement (75 m) by the time (2.3 s). Once we have the acceleration, we can rearrange Newton's second law equation to solve for the mass: mass = force / acceleration
Substituting the given values, we have: mass = 160 N / (75 m / 2.3 s)
Evaluating this expression gives the mass of the object.
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A machine used in production has an effective capacity of 8,849
and a design capacity of 9,050. If the actual output is 7,407 what
is the efficiency for the machine?
Answers
The machine's efficiency is 81.61%, indicating that it converts 81.61% of the input energy into useful output energy, while the remaining percentage is lost as waste or dissipated in the process.
Determine the efficiency?To calculate the efficiency, we can use the formula:
Efficiency = (Actual Output / Design Capacity) × 100
Given:
Actual Output = 7,407
Design Capacity = 9,050
Substituting the values into the formula:
Efficiency = (7,407 / 9,050) × 100
= 0.817 × 100
= 81.61%
Therefore, the efficiency of the machine is 81.61%.
Efficiency is a measure of how effectively a machine or system is utilizing its available capacity. In this case, the machine has a design capacity of 9,050 units, but it only produced an actual output of 7,407 units.
By dividing the actual output by the design capacity and multiplying by 100, we find that the machine's efficiency is 81.61%. This indicates that the machine is operating at approximately 81.61% of its full capacity.
A higher efficiency percentage would indicate a more optimal utilization of the machine's capacity, while a lower percentage suggests room for improvement in maximizing output.
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A resistor has a resistance of 120 12. How much current is in the resistor if there is a potential difference of 12.0V across the resistor?
A. 160 A
B. 0.43 A
C. 0.10 A
D. 2.3 A
Answers
Answer:
c 0.10
Explanation:
V=IR
12.0V=I x 120.12ohms
I=0.099
I= 0.10
what is the weight of an object with a force of 35 pounds ?
Answers
Answer:
156 Newton I think if it's wrong correct me
When the roller coaster rolls onto a flat section of track, what force would ultimately bring it to a stop if no other forces are added?.
Answers
Identify the forces present on the divers in the picture below.
Gravity
Spring
Tension
Normal
Sliding Friction
Air Resistance
Answers
Answer:
sliding friction/air resistance
During a lab you combined 5g of sodium bicarbonate and 10g of vinegar to produce sodium acetate, water, and carbon dioxide. After the reaction the contents of the beaker only weighed 14.5g. How much of the reactants were converted into carbon dioxide?
Answers
Answer:
Explanation:
Na₂CO₃ + CH₃COOH = CH₃COONa + CO₂ + H₂O .
1 mole 1 mole
mol weight of sodium carbonate = 106
mol weight of acetic acid = 60
5 g of sodium carbonate = 5 / 106 = .047 moles
10 g of acetic acid = 10 / 60 = .167 moles
sodium carbonate is the limiting reagent
.047 moles will react with .047 moles of acetic acid to give products .
grams of acetic acid reacted = .047 x 60 = 2.82 gram
grams of sodium carbonate reacted = 5 grams .
Volume of 10 coin is 25ml what is the volume of 1 coin
Answers
Answer: 2.5 ML
Explanation:
10 ÷ 10 = 1
25 ÷ 10 = 2.5
The volume of 1 coin is 2.5 ML
Select the best option to explain why the moon is described as a time capsule for Earth’s history?
Question 4 options:
The Apollo astronauts placed a time capsule on the moon’s surface.
The moon has not experienced any changes since its formation.
The moon does not have weather to erode the evidence of asteroid impacts.
Answers
Answer:
The moon does not have weather to erode the evidence of asteroid impacts.
How does a jack spread out the work over a large distance?
Answers
Why are there time zones? What is there purpose?
Answers
Answer:
Timezones exist because of rotation and revolution
Explanation:
As Earth rotates on its axis, it moves about 15 degrees every 60 minutes. After 24 hours, it has completed a full rotation of 360 degrees. The scientists used this information to divide the planet into 24 sections or time zones. Each time zone is 15 degrees of longitude wide.
Which part of an atom is mostly empty space?
Answers
Answer:
The electron cloud is mostly empty space
EARS: Two ears (E) is dominant to one ear (e). Both parents are heterozygous.
Answers
Answer:
what's the question
Explanation:
I don't understand the question
True or false? Balanced forces cause a change in motion. T/F
How do you know this?
Help me, it's due soon!
Answers
Balanced forces do not change the motion of an object, Because the forces are the same size and acting in opposite directions.
Answer:
Balanced forces do not change the motion of an object. The motion of an object will not change if the forces pushing or pulling the object are balanced. An object that is sitting still will stay still if the forces acting on it are balanced.
If a rock sample has a mass of 1.17 g and a volume of 0.33 cm3,
Answers
Answer:
then it's a rock
Explanation:
Science is a hands. on class. this is for safety in a lap
Answers
Answer:
Science is also a dog because sometimes it can can be nice such as a flower growing or the pretty flower turning into a flower that can attack you
Explanation: