The calculated value is 5:2.
The reciprocal of the focal length is used to calculate a lens's power. In diopter's, lens power is expressed (D). Positive focal lengths and positive power values are characteristics of convergent (convex) lenses. Negative focal lengths and negative power values are characteristics of diverging (concave) lenses.
Given that a N l =1.25 and a Ng =1.5
The focal length of a glass (g) lens in a medium (m) may be calculated using the formula
f1= (mNg 1) [1/R1/ 1/R2].
fa1 = (aNg1) [1/R1/ 1/R 2] while the lens is in the air.
When the lens is submerged in liquid, f l1 = (aNg 1) [1/R 1/1/R2] =1.5/1.25, which divides equation 1 by equation 2, and
fi/fa = (1.5/1.251)/ (1.51)
=5/2 or
Pa / Pi = 5/2 (since f=1/P).
Therefore, Pa:Pi= 5:2.
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scientists are concerned about the decrease in ozone is allowing more ultraviolet. (True or False)
The given statement "scientists are concerned about the decrease in ozone is allowing more ultraviolet" is true because ozone is a molecule made up of three oxygen atoms that exist in the Earth's atmosphere. It's a form of oxygen that absorbs almost all of the Sun's harmful ultraviolet light.
Ultraviolet rays are very harmful to humans, causing skin cancer, immune system breakdowns, and cataracts in the eyes. When the ozone layer is damaged or thinned, it can allow more ultraviolet rays to penetrate the atmosphere, which is why scientists are so concerned about ozone depletion.What are the impacts of ozone depletion?It is estimated that a 1% reduction in the ozone layer increases the incidence of non-melanoma skin cancer by 2%.A decrease of 10% in the ozone layer may result in a 20% increase in the incidence of skin cancer.The thinning of the ozone layer may result in a decrease in plant production, which may result in food supply shortages.A decrease in ozone may have an impact on phytoplankton, which play a crucial role in ocean food webs. These tiny creatures consume carbon dioxide and produce half of the world's oxygen. As phytoplankton numbers decline, ocean ecosystems may change, affecting everything from fish populations to weather patterns.
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What type of substances is an alloy?
A) Moleclue?
B) Mixture?
C) Compound?
D) Element?
It is possible for a fault to have a N-S strike and an East dip False True
True, it is possible for a fault to have a north-south (N-S) strike and an eastward dip.
Faults can have various orientations and dips depending on the tectonic forces and geological conditions in a particular region. The strike refers to the direction of the fault line on the Earth's surface, while the dip indicates the angle at which the fault plane is inclined from the horizontal. Therefore, a fault can have any combination of strike and dip, including an N-S strike and an eastward dip.
Faults are geological fractures where movement has occurred, and their orientations can vary. A fault with a north-south (N-S) strike means it extends in that direction horizontally. The dip refers to the angle of the fault plane from the horizontal. So, it is possible for a fault to have an N-S strike and an eastward dip.
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A car advertisement states that a certain car can accelerate from rest to 70 km/s in 7 seconds. Find the car’s average acceleration.
Please find attached photograph for your answer. Please do comment whether it is helpful or not.
What is an effect of continental drift?
Answer: An effect of continental drift is causing tectonic plates resting upon the convecting mantle to move which results in natural disasters like earthquakes, volcanic eruptions, and more.
A. Tick (1) the best alternatives. 1. What is the acceleration due to gravity on the surface of moon ? (a) 9.8m/s (b)1.6m/s2 (c) 6.67x10-1m/s (d) 9.8m/s?
Answer:
\( \green{ \sf \: \: 1.6 \: m {s}^{ - 2} \: \: \: is \: the \: correct \: answer}\)
Explanation:
\( \sf \: \huge{g } _{ \small{moon}} = \frac{ {\huge{g}}_{earth}}{6} \\ \\ \sf \implies \: \sf \: \huge{g } _{ \small{moon}} = \frac{ 9.8}{6} = 1.6 \: \: m {s}^{ - 2} \)
A temperature sensor is put into the following circuit as Rsensor. An identical, matching reference sensor Rref is held at a constant 37°C. R3 Rsensor Vin V3 R2 R1 V1 Vout R2 Rref Vin R3 V4 R1 V2 a) b) c) What is the purpose of each amplifier in the circuit? Derive a relation for the output voltage Vout in terms of the problem parameters. Given Vin-80 mV, Rsensor-Ref= 30 kΩ at37 °C, K =-5000 Ω/oC for the sensor, and given R1 = 600 Ω, R2 = 400 Ω, and R3-60 kQ, what is Vout when the sensor is at 37.002 °C?
In the given circuit, there are two operational amplifiers (amplifiers a and b) used for different purposes:
a) Amplifier a (difference amplifier): The purpose of amplifier a is to amplify the difference in voltage between the voltage across Rsensor (temperature sensor) and the voltage across Rref (reference sensor). It compares the two input voltages and produces an output voltage proportional to their difference.
b) Amplifier b (inverting amplifier): The purpose of amplifier b is to amplify the voltage produced by amplifier a and provide the final output voltage, Vout. It amplifies the voltage from amplifier a with a gain determined by the resistors R1 and R2.
To derive a relation for Vout, we can use the concept of a difference amplifier:
Vout = - (R2 / R1) * (Vin - Vref)
Given Vin = -80 mV, Rsensor-Ref = 30 kΩ at 37°C, K = -5000 Ω/°C for the sensor, R1 = 600 Ω, R2 = 400 Ω, and Vref = 0 V, we need to calculate Vout when the sensor is at 37.002°C.
Using the given values, we can substitute them into the equation and calculate Vout accordingly.
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imagine now that charge 2q is released, and it drifts away from the rest of the charges, which remain fixed in place. what would be the kinetic energy k2q of charge 2q at a very large distance from the other charges?
A particle with a mass of m/2 and a charge of 2q has kinetic energy of 2K when it is propelled from rest by the same potential difference.
Due to the fact that mass has no impact on kinetic energy, W = K = QV. where charge = Q ,q, V = possible discrepancy, mass and k, m = kinetic energy. The kinetic energy of a particle with a 2q charge and a v potential difference is given by the equation K = QV, where K1 = Q1V1. K¹ = 2Q¹ x V¹ = 2(QV) (QV). Due to K = QV, K1 = 2K is obtained by substituting K = QV into 2(QV). Applying the equation E=(k)(q/r2), If q becomes 2q and r becomes 2r, When an electric charge is present in a specific region of space, its properties are altered and an electric field is generated. The term "electric field" refers to the physical field that surrounds electrically charged particles and acts to either attract or repel other charged particles in the field.
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What is the answer to this assignment?
The vertical component of the force vector 42 N is 7.29 N and the that of the vector B is 26 N. Then the resultant vector is 18.71 N. The equilibrant is the same but opposite in direction ie., - 18.71.
What are vectors ?Vectors are physical quantities having both magnitude and direction. The quantities with magnitude only are called scalar quantities. Force, work done, displacement , momentum etc are vector quantities.
The resultant of two vectors depends on their magnitude and direction. The given two vectors A and B are in opposite directions. Hence, the resultant vector will be their difference in magnitude.
Vertical component of vector A = 42 cos 80 = 7.29 N
component of vector B = 34 cos 40 = 26 N.
Then, resultant vector = 26 N - 7.29 N = 18.71 N
equilibrant = - 18.7 N.
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Create a poem or a song explaining the principles of force and motion. Use at least 5 of these terms in your work: inertia, unbalanced force, balanced force, net force, gravity, speed, acceleration, velocity, Newton’s Laws.
Answer:
the laws of motion is what keeps everything going an back without gravity they couldn't been no us . let them say what they was but newton knows best if they want to come an say newtons discovery changed the world without him we couldn't rest
if buoyant force push things upwards, why don't hot air balloons and planes get pushed into outer space
Answer:
I think that's because the force of gravity is greater than the buoyant force, and for the hot air balloons, they can increase/decrease the temperature of the air in the balloon in order for it to rise/fall for more control. For planes, they use aerodynamics as well as the help of a couple of engines to thrust the plane forward. I hope this helps.
If the net force on an object is zero, then what is true about the object?
A
The forces applied to it are only action forces.
B
The forces applied to it are balanced.
С
The forces applied to it are unbalanced.
D
The forces applied to it are only reaction forces.
If the net force on an object is zero, then the forces applied to it are balanced.When the net force on an object is zero, the object is said to be in a state of equilibrium. In other words, the object is either at rest or moving at a constant velocity (i.e., it is not accelerating).This is because the forces acting on the object are balanced. That is, there are equal and opposite forces acting on the object, canceling each other out. As a result, there is no net force acting on the object.
A net force is the sum of all forces acting on an object. If the net force on an object is zero, it means that the sum of all forces acting on the object is zero. When the net force is zero, the object will either be at rest or moving at a constant velocity.
To determine the net force acting on an object, you need to add up all of the forces acting on the object. If the forces are acting in the same direction, you add them up. If they are acting in opposite directions, you subtract them. The resulting force is the net force acting on the object.
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5) Calculate the moment caused by a 2 kg mass placed at a distance of 0.5 m to the left of the pivot. Is this
moment clockwise, or anti-clockwise? (2 marks)
The moment caused by the 2 kg mass placed at a distance of 0.5 m to the left of the pivot is 1 kg m. This moment is anticlockwise.
What is moment ?Moment is a physical parameter equal to the product of the distance or displacement and another physical quantity such as mass, force etc.
For a mass of 2 kg and distance of 0.5 m the moment is :
moment = mass × distance
= 2 × 0.5 = 1 kg m
If we are taking the moment of force, then it the product of the distance and force acting on the body is taken.
force = mg
F = 2 kg × 9.8 m/s² = 19.6 N
then moment of force = 19.6 N × 0.5 m = 9.8 N
The moment from left to right in direction is anticlockwise.
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Question 5
A ball is thrown straight down with an initial speed of 4.30 m/s, from a height of
8.80 m. What is the velocity of the ball when it reaches a height of 5.80?
Answer:We can use the kinematic equations of motion to solve this problem. The equation we need to use is:
v^2 = u^2 + 2as
where v is the final velocity, u is the initial velocity, a is the acceleration due to gravity (which is -9.81 m/s^2), and s is the displacement.
Initially, the ball is thrown straight down with an initial speed of 4.30 m/s and a height of 8.80 m. Let's take the upward direction as positive. Using the equation of motion for displacement, we can find the time it takes for the ball to reach a height of 5.80 m:
s = ut + (1/2)at^2
-3 = 4.3t + (1/2)(-9.81)t^2
-4.905t^2 + 4.3t - 3 = 0
Using the quadratic formula, we find that the time it takes for the ball to reach a height of 5.80 m is t = 0.956 s (rounded to three significant figures).
Now, we can use the equation of motion for velocity to find the velocity of the ball at this point:
v^2 = u^2 + 2as
v^2 = (4.3 m/s)^2 + 2(-9.81 m/s^2)(-3 m)
v = -5.08 m/s
The negative sign indicates that the velocity is in the downward direction. Therefore, the velocity of the ball when it reaches a height of 5.80 m is 5.08 m/s downward.
Explanation:
If the coefficient of kinetic friction between the object and the incline is 0.200, what minimum power does the winch need to pull the object up the incline at 4.00 m/s
The winch needs a minimum power of 320 Watts to pull the object up the incline at 4.00 m/s. To determine the minimum power required by the winch, we need to consider the work done against friction and the time it takes to move the object.
The power (P) can be calculated using the formula:
P = work / time
The work done against friction can be calculated using the formula:
work = force * distance
The force of friction (F) can be determined by multiplying the coefficient of kinetic friction (μ) with the normal force (N). The normal force can be calculated by multiplying the mass of the object (m) with the acceleration due to gravity (g).
force of friction (F) = μ * N
force of friction (F) = μ * m * g
The distance traveled by the object can be determined using the formula:
distance = speed * time
Now, let's calculate the power:
First, we need to calculate the force of friction (F):
F = μ * m * g
Given that the coefficient of kinetic friction (μ) is 0.200, the mass of the object (m) is not provided, and the acceleration due to gravity (g) is approximately 9.8 m/s².
Next, we need to calculate the distance traveled by the object. It is not provided in the question, so we cannot proceed with the calculation of power without this information.
Without knowing the distance traveled by the object, we cannot calculate the minimum power required by the winch to pull the object up the incline at 4.00 m/s.
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How are nuclear reactions important to the universe?Justify your answer.
pls help this is due in 15 minutes :(
Answer:
its very important in science because without atoms the universe would have not been created and our sun and our own planets
The nuclear reactions generally occurs in the deep part of the earth called the core. It is the fusion reaction which produce huge amount of energy to the universe. So the nuclear reactions important to the universe.
What is a nuclear fusion?The process in which two lighter nuclei fuse together to form a heavier nucleus with the simultaneous release of a huge amount of energy is defined as the nuclear fusion. Some mass is always lost which is converted into energy in accordance with Einstein's equation.
It is the fusion reactions which are common in the interior of stars. The energy of our sun is believed to arise from a number of complex fusion steps. The sun is the ultimate source of energy in the universe which is due to the fusion reaction.
The nuclear reactions are responsible for the nucleosynthesis which means the formation of the elements in the universe.
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A plane flying into a headwind travels 2000 miles in 5 hours. The return flight along the same route with a tailwind takes 4 hours. Find the wind speed and the plane's speed.
The plane's speed is 450 miles per hour, and the wind speed is 50 miles per hour. This is determined by solving the equations derived from the distances and times of the flight with and against the wind.
Let's assume the speed of the plane (without considering the wind) is P, and the speed of the wind is W.
When flying into a headwind, the effective speed of the plane is reduced by the wind speed. So the equation for the outbound flight is:
P - W = 2000 miles / 5 hours
P - W = 400 miles per hour (mph) ---(Equation 1)
When flying with a tailwind, the effective speed of the plane is increased by the wind speed. So the equation for the return flight is:
P + W = 2000 miles / 4 hours
P + W = 500 miles per hour (mph) ---(Equation 2)
Now we have a system of two equations (Equation 1 and Equation 2) with two variables (P and W). We can solve this system to find the values of P and W.
Adding Equation 1 and Equation 2 together, we eliminate the variable W:
(P - W) + (P + W) = 400 mph + 500 mph
2P = 900 mph
P = 450 mph
Substituting the value of P back into Equation 1 or Equation 2, we can solve for W:
450 mph - W = 400 mph
W = 450 mph - 400 mph
W = 50 mph
Therefore, the plane's speed is 450 mph and the wind speed is 50 mph.
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A box with a mass of 100.0 kg slides down a ramp with
a 50 degree angle.
What is the weight of the box?
N
What is the value of the normal force? Round the
answer to the nearest whole number.
N
What is the acceleration of the box? (Disregard friction
and air resistance.) Round the answer to the nearest
tenth.
m/s2
Answer:
Weight of the box? 980 N
Value of the normal force? 630 N
Acceleration of the box? 7.5 m/s^2
Explanation:
I got the answer right
Aurora binge drinks. what does this most likely mean for aurora? a she drinks enough alcohol to become intoxicated. b she only drinks at social occasions. c she drinks one or two drinks every night. d she avoids alcohol altogether.
The most likely mean for aurora. She drinks one or two drinks every night. Option C is correct.
What is Binge-drinking?Binge-drinking is explained as having five or more drinks in one sitting for males, and four or more drinks in one sitting for women.
The majority of people who binge-drink do not have a serious alcohol problem. Binge-drinking, on the other hand, is a dangerous risk behavior linked to significant injuries and a variety of disorders.
Hence, option C is correct.
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6tyhfdytythftyhyhfytfyht
Answer:
Six is the only number that is both the sum and the product of three consecutive positive numbers.
Explanation:
TRUE/FALSE
1) A test booklet is sitting at rest on a desk. Compared to the force of the booklet on the
desk, the force of the desk on the booklet is the same. _______________
True
False
2) The acceleration of an object is always in the direction of the net force acting on it.
True
False
Answer:
TRUE - A test booklet is sitting at rest on a desk. Compared to the force of the booklet on the desk, the force of the desk on the booklet is the same.
TRUE - The acceleration of an object is always in the direction of the net force acting on it.
Two changed objects, A and B, are exerting an electric force on each other . What will happen if the charge on A is increased
Answer:According to Coulomb's law, the electrostatic force between two bodies is proportional to the product of their two charges. If the charge on A is increased this product increases in size (it must have been non-zero to begin with, since there was a force between them at first). Thus, the force between them rises.
Explanation:
A particular engine takes in 10,000 J of heat, does 2,000 J of work, and as it runs discharges heat. Its own energy is the same when it
has finished as when it started. How much heat did it discharge if this is a closed system?
10,000 J
12,000 J
2,000 J
8,000 J
Answer:
8000 J
Explanation:
There is a Quizlet made by a teacher with this answer.
How would you connect multiple batteries in order to get the biggest possible voltage?
We connect multiple batteries in series in order to get the biggest possible voltage.
Series connection
A circuit is set to be connected in series when there is same flow current through all the component in the circuit.
There is only one path for current to flow.
Parallel connection
A circuit is said to be connected in parallel when all the components are connected across each other's lead.
If we connect two batteries in series then the two batteries add up their voltage. And we have the combined voltage. (as shown in image)
series means connecting one anode to the another cathode of next.
similarly if batteries placed in parallel then the voltage in circuit is same as of individual battery.
We connect multiple batteries in series in order to get the biggest possible voltage.
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A 50 kg object is accelerating to the right at 5 m/s2. What is the net force acting on the object?
Answer:
250 NExplanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × acceleration
From the question we have
force = 50 × 5
We have the final answer as
250 NHope this helps you
As a result, the total energy in a ____ system (in other words, a system with no external forces) will remain constant
Answer:
Isolated or Closed system, both are correct
What is the speed of a wave in (m/s) with a 5 meter wavelength and a period of 20 seconds?
Answer: 0.25 m/s
Explanation: Speed = wavelengt · frequency
v = λf and frequency is 1/period f = 1/T
Then v = λ/T = 5 m / 20 s = 0.25 m/s
your friend, who is in a field 60 meters away from you, kicks a ball towards you with an initial velocity of 17 m/s . assuming the grass causes the ball to decelerate at a constant rate of 1.0 m/s2 , how long does it take for the ball to reach you?
It takes approximately 7.7 seconds for the ball to reach you from your friend who is 60 meters away from you. This is calculated by using the formula v=u+at, where v is the final velocity, u is the initial velocity and t is the time taken for the ball to reach you.
Here, the final velocity is 0 m/s, the initial velocity is 17 m/s and the acceleration due to the grass is -1.0 m/s2. By substituting these values in the formula, we get t=v-u/a. After solving the equation, we get t=17-(-1)/1=7.7 seconds. This is the time taken for the ball to reach you from your friend who is 60 meters away.
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The calculated value of static friction
A) increases as force increases
B) is the amount of friction present for an object at rest
C) causes a net acceleration
D) is the maximum value possible
Assume a simply supported beam with span of 15m. It will be exposed to a dead load of 20kN/m (including self-weight) and a live load of 2kN/m along the full span. At the same time, it will be experiencing a concentrated dead load of 23kN + a live load of 1kN at midspan, as well as an additional dead load of 15kN located at 4m from the right support.
The beam has a rectangular cross-section with a width of 600mm and total height of 1000mm. The beam is reinforced with 10- 25M tensions bars at effective depth of 920 mm. The maximum aggregate size used is 20mm, and has the following material properties: f’c = 25MPa ,fy = 400 MPa.
Please perform the following task:
1) Draw the governing shear and bending moment diagram for the factored load.
2) Calculate the moment resistance of the cross section.
3) Comment if this cross section is adequately designed to resist the factored bending moment. (LRFD)
The values of all sub-parts have been obtained.
(1). The maximum factored load the beam can withstand is 45.2 kN/m.
(2). The moment resistance of the cross-section is 291735.65 Nm.
(3). The factored moment demand is 27939.6 Nm
1) To draw the governing shear and bending moment diagram for the factored load, we need to first calculate the maximum factored load that the beam can withstand.
The maximum factored load on the beam is given by:
Dead Load = 20 kN/m + 15 kN
= 35 kN/m.
Live Load = 2 kN/m + 1 kN
= 3 kN/m.
Total Factored Load = 1.2 x Dead Load + 1.6 x Live Load
= 1.2 x 35 kN/m + 1.6 x 3 kN/m
= 45.2 kN/m.
The maximum factored load the beam can withstand is 45.2 kN/m.
The shear force and bending moment diagrams for the given factored load can be obtained as shown below:
Shear Force Diagram:
Bending Moment Diagram:
2) To calculate the moment resistance of the cross-section, we can use the formula:
MR = σst A'(d - a/2) + 0.85f'c A''(d - a/2)
Where, σst = yield stress of tension steel [σst = fy / γst],
γst = safety factor for tension steel [γst = 1.15A']
A' = area of tension steel, [A'' = b(d - a)].
Where,
b = width of the beam [b = 600 mm],
d = total height of the beam [d= 1000 mm],
a = effective depth of tension steel [a = 920 mm]
f'c = compressive strength of concrete [f'c = 25 MPa],
MR = σst A'(d - a/2) + 0.85f'c A''(d - a/2)
MR = (400 / 1.15) x 10 x (1000 - 920/2) + 0.85 x 25 x 590 x (1000 - 920/2)
MR = 291735.65 Nm
The moment resistance of the cross-section is 291735.65 Nm.
3) To check if this cross-section is adequately designed to resist the factored bending moment (LRFD), we need to calculate the factored moment demand and compare it with the moment resistance.
The factored moment demand is given by:
MF = ϕ x Mu
Where,ϕ = resistance factor = 0.9, Mu = factored bending moment
Mu = 1.2 x Dead Load x L2 / 8 + 1.6 x Live Load x L2 / 8 + 1.2 x (Dead Load + Live Load) x L2 / 2
= 1.2 x 35 x 152 / 8 + 1.6 x 3 x 152 / 8 + 1.2 x 38 x 152 / 2
= 31044 Nm
MF = ϕ x Mu
= 0.9 x 31044
= 27939.6 Nm
The factored moment demand is 27939.6 Nm, which is less than the moment resistance of the cross-section, i.e., 291735.65 Nm.
Therefore, this cross-section is adequately designed to resist the factored bending moment.
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