Acceleration due to gravity on the surface of the earth
g=GM/r2
Escape velocity v = √GM/r
torque in terms of I and a τ = l*a
The definition of torque is the product of the force's strength and the angle at which the force's line of action is perpendicular to the axis of rotation. Torque can also be understood in terms of the law of conservation of energy. The lowercase Greek letter tau is frequently used as the sign for torque.The speed at which an object moves to escape the gravitational pull of a planet or moon without developing propulsion is known as escape velocity.The acceleration due to gravity value of 9.8 m/s2 means that the velocity of a body falling freely changes by 9.8 m/s every second.
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A 1. 2-kg spring-activated toy bomb slides on a smooth surface along the x-axis with a speed of 0. 50 m/s. At the origin 0, the bomb explodes into two fragments. Fragment 1 has a mass of 0. 40 kg and a speed of 0. 90 m/s along the negative y-axis. In the figure, the energy released by the explosion is closest to.
Fragment 2's velocity vector is 80.54°, and the x-axis is at 0.075 and the velocity of the y- axis is 0.46m/s.
We are given that,
Mass of the spring = m = 1.2kg
Speed of the spring = v = 0.05 m/s
Mass of the first fragment = m₁ = 40 kg
Initial speed of first fragment =u₁ = 0.9 m/s
m₂ = 0.8 kg
To find the second segment's velocity using the idea of linear momentum conservation,
Locate the x-axis,
m u cos θ = m₁ v₁ cos θ + m₂ v₂ cos θ
1.2 x 0.05 x cos (0) = 0 + 0.8 v₂ cos θ
v₂ cosθ = 0.075
Find the y-axis:
1.2 (0) = -0.4 (0.9) + 0.8 (v₂ sin θ)
v₂ sinθ = 0.36/0.8
v₂ sinθ = 0.45
By solving above two equation we can get ,
tanθ = 6.0
θ = 80.54°
Putting the value of θ in y- axis component then we get,
v₂ sinθ = 0.45
v₂ = 0.45/sinθ
v₂ = 0.46m/s
Therefore , fragment 2's velocity vector is 80.54°, and the x-axis is at 0.075 and the velocity of the y- axis is 0.46m/s.
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How fast does the depth of the water change when the water is 10 ft high if the cone leaks water at a rate of 10 ft3/min?.
Water depth decreases at 128/125π ft ^3/min when the cone leaks water at a rate of 10 ft3/min
The ratio of the radius(r) of the upper surface of the water to the water depth (w) is based on the overall dimensions of the cone r/w = 5/10.
The volume of a cone of water is given by the formula V(w) = (π/12)w^3
After differentiation we get dV/dW = π/4w^2
We are told that dV/dT = -3
dW/dT= (dW/dV)(dV/dT) = 4/πw^2(-3)
When the depth of water is 10 ft we get the rate of fall of water is 128/125π ft ^3/min.
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PLEASE I NEED ANSWERD OF D AND E
d) find the power cunsumption in 22 ohms lamp and 4.5 ohms lamp ?
e) find the power delivered by the battery
Answer:
2) find the power rating of the given transformer:
the transformer is rated at 250v,50hz, and it is used with a circuit which
consists of a 200v,50hz d.c. source and a rheostat.the rheostat is used to control the current in the primary of the transformer.the maximum readable current in the primary of the transformer is 250mA.the transformer is wired as an autotransformer with the primary winding of 250 turns and the secondary winding of 250 turns.the current in the secondary winding of the transformer is to be kept at 10mA when the load current in the rheostat is 10mA.
3) a single phase a.c. supply of 230v,50hz is connected across a series combination of a capacitor and a resistor in parallel with a pure inductor.the resistor and inductor are connected in series with each other.the impedance of the inductor is 100 ohms and the impedance of the capacitor is 60 ohms.the supply current is 10A.
a) find the impedance of the capacitor if the power factor of the circuit is 0.8 lagging.
b
Explanation:
Answer:
Explanation:
Given:
R₁ = 22 Ω
R₂ = 4.5 Ω
U = 45 V
_________
I - ?
P₁ - ?
P₂ - ?
P - ?
Circuit resistance:
R = R₁ + R₂ = 22 + 4.5 = 26.5 Ω
Circuit current:
I = I₁ = I₂ = U / R = 45 / 26.5 ≈ 1.7 А
Lamp voltages:
U₁ = I₁·R₁ = 1.7·22 ≈ 37.40 V
U₂ = I₂·R₂ = 1.7·4.5 ≈ 7.65 V
Power:
P₁ = U₁·I₁ = 37.40·1.7 ≈ 63.6 W
P₂ = U₂·I₂ = 7.65·1.7 ≈ 13.0 W
P = U·I = 45·1.7 ≈ 76.5 W
ip the weight of your 1410 kg car is supported equally by its four tires, each inflated to a gauge pressure of 32.0 lb/in2 . what gauge pressure is required to give an area of contact of 106 cm2 for each tire?
The gauge pressure required to give an area of contact of 106 cm2 for each tire is 35 lb/in².
Force is a push or pulls upon an object because of the object's interplay with some different object. stress is a energy that could change the movement of an object. A pressure can cause an object with mass to alternate its pace, i.e., to reinforce up. strain also can be described intuitively as a push or a pull. A force has every significance and route, making it a vector amount.
Calculation:-
P = F/A
The force acting on the car is supported equally on four tires
The mass on each tire is ;
m = Total mass/4
= 1440 kg/4
= 360 kg
Thus, the force on each tire is
F = mg
= (360 kg)(9.8)
= 3528 N
The gauge pressure is 35 lb/in²
The phrase 'Force' has a unique meaning. At this degree, it is absolutely appropriate to describe a force as a push or a pull. A force is exerted on one object through another. The concept of a force isn't always restricted to living matters or non-living matters.
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how many 75- w lightbulbs, connected to 120 v as in the figure, can be used without blowing a 17 a fuse?(figure 1)
P=VI,Current drawn by each light bulb Number of bulbs x Current produced by each bulb is 15, Number of bulbs = 17/0.625 = 11 Numbers, I=P/V = 75/120=0.625 Amp, Number of bulbs x Current drawn bulb is 15,.
What is happening right now?The pace at which charge moves across a location on a circuit is known as current. Multiple coulombs of charge passing over a wire's cross section in a circuit causes a large current to flow. High currents can be produced at low speeds if the charge carriers are tightly packed within the wire.
What exactly are current and electron?Electron current refers to the movement of electrons. The negative terminal releases electrons into the positive terminal. Traditional current—also known as just current—behaves as though positive charge carriers are the cause of current flow. Normal current moves from the positive electrode to a negative terminal.
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Tuesday
(13.) A teacher had 48 red
pens. The ratio of red pens to
blue pens she owns is 6: 1.
How many pens did she have
in total?
If a teacher had 48 red pens and the ratio of red to blue pens she owns is 6:1, she will have a total of 56 pens
Let the number of red pens be R and the number of blue pens be B.
R = 48
R / B = 6 / 1
48 / B = 6 / 1
B = 48 / 6
B = 8
Total number of pens = Number of red pens + Number of blue pens
Total number of pens = R + B
Total number of pens = 48 + 8
Total number of pens = 56 pens
Therefore, she has a total of 56 pens
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Almost all children like and love a glow stick since it is a popular toy and safety device. They bend the small flexible plastic tube to break a small glass capsule inside, at which point the stick begins to glow. How do you think this works?.
They bend the small flexible plastic tube to break a small glass capsule inside, at which point the stick begins to glow. This works on the Concept of chemi-fluorescence.
Encapsulation is the term used to describe a number of dosage form strategies used to enclose medications in a comparatively stable shell known as a capsule. Consumers have viewed capsules as the most effective way to take medication. The "caplet" was created by drug manufacturers as a result of this in order to highlight the potency of their products, such as OTC analgesics.
When a substance absorbs light or other electromagnetic radiation, chemi-fluorescence occurs and the substance emits light. It has luminescence characteristics. Several minerals and a variety of biological forms from all the kingdoms of life exhibit chemi-fluorescence frequently in nature. Indicating that the fluorophore is a component of or was extracted from a living organism, the latter is sometimes referred to as biofluorescence.
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A 2.50 kg book is placed on a flat desk. suppose the coefficient of static friction between the book and the desk is 0.448 and the coefficient of kinetic friction is 0.373. how much force is needed to begin moving the book?
Answer:
11 N
Explanation:
You will need enough force to overcome the static friction
Fn = 2.50 kg * 9.81 m/s^2
F of static friction = Fn * coeff static = 2.50 * 9.81 * .448 =~ 11 N
we can see all three objects clearly in the visible part of the spectrum, even though the peak intensity might lie outside that region. why is this so?
We an see all three objects clearly in the visible part of the spectrum, even though the peak intensity might lie outside that region because we perceive only what lies in the visible region.
The sun and Sirius A emits light in every part of the electromagnetic spectrum. But our eyes cannot perceive every frequency of light. We see only what can be perceived by a human eye. Just because we cannot see other spectrum does not mean that it is not present.
The visible spectrum of light is 400 nm to 780 nm. The colours are:
Violet - 400 to 420 nmIndigo - 420 to 440 nmBlue - 440 to 490 nm Green - 490 to 570 nmYellow - 570 to 585 nmOrange - 585 to 620 nmRed - 620 to 780 nmTherefore, we can see all three objects clearly in the visible part of the spectrum, even though the peak intensity might lie outside that region because we perceive only what lies in the visible region.
The given question is incomplete. The complete question is:
Consider three objects - Sirius A, Sun and light bulb. We can see all three objects clearly in the visible part of the spectrum, even though the peak intensity might lie outside that region. why is this so?
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What is the centripetal force on a car with a mass of 1,500 kg that is traveling in a circle with a radius of 19 m at a tangential velocity of 5 m/s?
The centripetal force on the car with a mass of 1500 kg is 1973.7N.
What is centripetal force?A centripetal force is a force that makes a body follow a curved path.
To calculate the centripetal force on a car, we use the formula below.
Formula:
F = mv²/r.............. Equation 1Where:
F = Centripetal forcem = Mass of the carr = radius of the circlev = Velocity of the car.Where:
m = 1500 kgv = 5 m/sr = 19 mSubstitute these values into equation 1
F = (1500×5²)/19F = 1973.7NHence, the centripetal force on the car is 1973.7N.
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3) a boat can travel 2.30 m/s in still water. (a) if the boat points its prow directly across a stream whose current is 1.20 m/s, what is the velocity of the boat relative to the shore? (b) what will be the position of the boat on the other side of the river if the river is 500 m wide?
(a)Velocity of boat relative to the shore is 2.93m/s
(b)Position of the boat will be 13800m down stream
The velocity of boat in still water=2.3m/s
velocity of water=1.2m/s
(a) Velocity of boat relative to the shore=?
the velocity of boat when crossing the river will be towards the North direction
While the velocity of the water in the flowing river would be in East direction
Since the boat is going across the river and the river is flowing in East direction with respect to the boat it will increase the velocity of the boat.
To calculate the velocity of the boat we use Vector addition
We know that the two vectors are perpendicular to each other
Resultant vector=[tex](v1)^{2}[/tex]+[tex](v2)^{2}[/tex]
Let the resultant vector be R
[tex]R^{2}[/tex]=[tex](2.3)^{2}[/tex]+[tex](1.2)^{2}[/tex]
[tex]R^{2}[/tex]=5.29+1.44
[tex]R^{2}[/tex]=6.73
R=[tex]\sqrt{6.73}[/tex]
R=2.93m/s
Thus,
Velocity of boat relative to the shore is 2.93m/s
(b) width of the river=500m
Then position of boat=?
Formula used:
Time =Speed x distance-(i)
Where
Speed is the velocity of boat in still water
Distance is the width of the river
Since here the distance traveled is the width of the river from one shore to the other thus the velocity used will be that of the boat in still water. One would assume to use the resultant velocity instead but that would not lead to the correct solution as the resultant velocity is the velocity with which the boat covers the diagonal distance between the two shores.
putting values in the equation (i)
2.3=500/t (where t represents the time taken to cross the river)
cross multiplying both sides
t=500x2.3
t=500x23/10
t=1150s
Distance =av Speed x Time
Distance= 1.2 x1150
Distance= 13800m
Position of the boat will be 13800m down stream
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a ray of light goes from a material of higher refractive index to one with a lower refractive index. which way does it bend?
The light bends towards the normal line when goes from higher refractive index to lower refractive index material.
Ray of light :
Ray of light is the name for the direct path that light takes.
Bending of a light is defined as:
The index of refraction of a substance affects how light bends
Refraction is the term for this bending of light, which causes it to split into various light wavelengths and display a rainbow (spectrum) of colors.when light beam bends towards the normal when it moves from a rarer to a denser medium, and it bends away from the normal when it moves from a denser to a rarer medium.
The light bends towards the normal line when goes from higher refractive index to lower refractive index material.
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a 10-kg bucket is lowered by a rope in which there is 63 n of tension. what is the acceleration of the bucket? is it up or down?
6.3 m/s^2 is the acceleration of the bucket.
T=ma
T=63 N
m=10 kg
a=T/m
a=63/10
a=6.3 m/s^2
Acceleration is the rate of change in a moving object's speed and direction over time. When anything moves faster or slower, it is considered to be accelerating. Motion on a circle increases even while the speed is constant because the direction is always changing.
Since acceleration has both a magnitude and a direction, it is a vector quantity. Velocity is a vector quantity as well. The definition of acceleration is the change in velocity vector during a time interval divided by the time interval.
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two rocket ships are each traveling at 90% of the speed of light toward one another. one turns on a beam which is seen by scientists aboard the second spaceship. what speed do the scientists measure for the light? a. 0.9 c b. 1.0 c exactly c. 1.8 c
The speed of the light that the scientists will measure will be 2.8c.
The speed of the light is represented by c. It is given that the speed of both the rocket is 90% of speed of light.
Speed of each rocket V = 0.9c
Both the rocket are moving towards one another.
When the beam abroad from one of the rockets, it will have the speed same that of the speed of light. So, let us say the speed of the beam = u
Hence, the relative speed V' of the one rocket with respect to another,
V' = V-(-V)
V' = 2V.
Now, when the beam arrives from the rocket, it will appear with a relative speed V''
V'' = 2V-(-u)
V'' = 2V+u
Now putting the values,
V'' = 2(0.9c)+c
V'' = 1.8c+c
V'' = 2.8c
So, the speed of light measured by the scientist will be 2.8c.
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What does it mean when the instructions say tare a container on an electronic balance.
The display of the balance is reset to zero by pressing tare. You shouldn't factor the weight of the container into a compound measurement. Place the container on the scale, wait for a steady reading, and then push the tare key to reset the display to zero to tare the container.
A heavy-duty galvanised steel frame and POWERCELL load cells are included in the Container Scale, an accurate, quick, and dependable solution. The NMI Trade-Approval and compliance with SOLAS regulations of the Container Scale are further advantages.
To zero out the weight of anything that was previously on the scale, such as a bowl, plate, or container, is to tare a scale. Learn how to tare a kitchen scale in this video to ensure that you precisely weigh each ingredient.
When freight exceeds: a 20-foot dry container with a cargo weight over 37,500 pounds (with certain exceptions); a 40-foot dry or high-cube container with a cargo weight over 43,500 pounds (with some exceptions).
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A system uses 49 J of energy to do work, and the change in internal energy is 58 J. How much heat was added to the system?
According to the given statement is internal energy 107 J heat was added to the system.
What is internal energy in physics?The sum of the kinematic and chemical potential energies of all of the particles in the system is the internal energy. Nanoparticles accelerate and pick up kinetic energy when energy is applied to raise the temperature.
Briefing:The equation utilized is based on the first rule of thermodynamics and reads as follows:
ΔE = q + w
where w represents the work completed by or on the system. A change in internal energy is represented by ΔE, and q is the heat energy that is either contributed to or released by the system.
The system performs the task, therefore w has a negative sign.
So w = -49 J
ΔE = 58 J
q = ?
Let's plug in the values in the equation:
58 J = q - 49 J
on rearranging this:
q = 58 J + 49 J
q = 107 J.
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According to the law of conservation of energy, the total amount of energy in a closed system will always.
According to the law of conservation of energy the total amount of energy in a closed system will always remain constant.
According to the law of conservation of energy, all the energy that is present in this world can only be converted from one form to another, it cannot be created or destroyed.
So, if there is a close system, the energy in that system will always remain constant because the energy will only change its state from one form to another.
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the standard deviation of a two-asset portfolio is less than the weighted average of the individual security standard deviations if the correlation of the two assets is
Firm-specific risk factors are eliminated by holding assets in a portfolio since these risk variables frequently cancel one another out. As a result, the standard deviation of a portfolio is typically lower than the standard deviation of the weighted average. The main advantage of diversification is this.
Systematic and ad hoc risk factors are both reflected by the standard deviation. A portion of the unsystematic risk is reduced when individual stocks are integrated into a portfolio, resulting in a portfolio standard deviation that is lower than the average of the standard deviations of the individual stocks. The SD of the portfolio will decrease if stocks that are not absolutely positively correlated with one another are included. The benefits of diversity are higher and the portfolio risk is lower when there are reduced correlations between the returns of the assets in the portfolio.
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A wheel and axle on a bicycle are designed with an axle radius of 0. 125 meters and a wheel radius of 0. 5 meters. If a force of 800 newtons is applied to the axle, what is the maximum output force of the bike wheel?.
The net force of the runner, given the data from the question is 280 N.
What is net force
The net force is the vector sum of forces acting on a particle or object.the net force is a single force that replace the effective of the original forces on the particles motion.
Sol-As per the given question the following data are obtained-
Exerting force = 325 N
Resistance force = 45 N
Net force =?
The net force of the runner can be obtained as illustrated below:
Net force = Exerting force - resistance force
Net force = 325 - 45
Net force = 280 N
From the calculation we can get the runner's net force is 280 N.
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8. (Inelastic) A 10,000 kg truck traveling at 4 m/s runs head-on into a stationary
Ford Pinto mass 1000 kg. How fast will the truck and Pinto be traveling as they
move down the street stuck together?
ans. 3.6 m/s
Answer:
Explanation:
Given:
m₁ = 10 000 kg
V₁ = 4 m/s
m₂ = 1 000 kg
V₂ = 0 m/s
____________
V - ?
The law of conservation of momentum in inelastic collision:
m₁·V₁ + m₂·V₂ = (m₁ + m₂)·V
V₂ = 0
m₁·V₁ = (m₁ + m₂)·V
V = m₁·V₁ / (m₁ + m₂)
V = 10 000 · 4 / (10 000 + 1 000) ≈ 3,6 m/s
Why would placing two very strong magnets in the middle of two separate balloons provide a good model for nuclear fusion?
Answer:
because the friction in the baloons and the magnetism make it like nuclear fision
Explanation:
The magnetic field and friction between the balloons when placing two very strong magnets in the middle of two separate balloons provide a good model for nuclear fusion.
What is nuclear fusion?Nuclear fusion is the process through which light elements interact to create heavier elements (up to iron). Significant amounts of energy are released when interacting nuclei are from elements with low atomic numbers, such as hydrogen (atomic number 1) or its isotopes deuterium and tritium.
Thermonuclear weapons, or hydrogen bombs, which were created in the decade immediately following World War II, were the first to utilize the tremendous energy potential of nuclear fusion.
There are two main categories of fusion reactions: those that maintain the ratio of protons to neutrons and those that convert protons to neutrons.
Therefore, the magnetic field and friction in the balloons when placing two very strong magnets in the middle of two separate balloons provide a good model for nuclear fusion.
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Assume that a particular reaction evolves 250kJ of heat and that 30 kJ of PV work is gained by the system. What are the values of Interal energy and Enthalpy of the system and surroundings?
For this reaction the values of Internal energy of the system comes out to be -220K.
Internal energy of the surrounding comes out to be +220KJ. For system enthalpy is -190KJ and for surrounding it is +190KJ.
250KJ heat is evolved
30KJ work is done.
The change in the internal energy of a system is the sum of the both things, heat transferred and the work done. The heat flow is equal to the change in the internal energy of the system and the PV work done.
Internal energy of the system = heat + work done
Internal energy of the system = -250 + 30 = -220J
Since heat is evolved, then internal energy will be decreased that's why we put negative sign to the heat. And work is gained by the system that's why it will increase the internal energy of the system, so work done will be taken as positive.
Now, for surrounding internal energy of the surrounding= heat + work.
30KJ work is gained by system, so loss from the surrounding and 250KJ heat is gained by system from the surrounding. So internal energy of the surrounding= +220J
The enthalpy of the system is defined as the sum of its internal energy and the product of its pressure and volume.
Enthalpy of the system= -220KJ+30KJ= -190KJ
(negative sign of enthalpy indicates heat is released to the surrounding.)
Increase in enthalpy of the surroundings is equal to decrease in enthalpy of the system
Enthalpy of the surrounding= +220-30KJ = +190KJ.
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A pilot wants to drop a bomb on a target. His plane is traveling at a speed of 166 m/s horizontallly and is at an altitude of 762.5 meters . How far in front of the target should he let go of the bomb to ensure succes?
Answer:
2070 m
Explanation:
Find the time to fall from d= 762.5 m to the ground :
d = 1/2 a t^2 shows t = 12.5 s
Horizontal distance = 166 m/s * 15.5 s = 2069.7 m =~2070 m
Dark colors absorb light. What happens with light colors?
A. They absorb light.
B. They contain light.
C. They split apart light.
D. They reflect light.
what is mach number?
Mach number is "the ratio of the speed of a body to the speed of sound in the surrounding medium" (Oxford Languages). Put simply, it's a ratio comparing the local flow velocity to the speed of sound in the medium.
It is represented with the following formula. M is the mach number, u is the local flow velocity, and c is the speed of the sound in the medium.
[tex]\boxed{\displaystyle M=\frac{u}{c} }[/tex]
The pressure at the bottom of a glass filled wlth water (p 1000 kg/m') Is P. The water Is poured out and the glass Is filled wlth ethyl alcohol (p 806 kg/m ). The pressure at the bottom of the glass Is now which of the following? equal to P smaller than P ~indeterminate ~larger than
Option (a) smaller than P This is because the pressure (P) at any depth 'd' from the top surface of the water with density (ρ).
P = ρ × g × d
where,
g is the acceleration due to the gravity
thus from the above equation it can be concluded that the pressure at any depth 'd' is directly proportional to the density of the water.
thus,
in the given case the density of the water is lower than that in the first case.
The term "Pressure" refers to the thrust (force) applied to a surface per unit area. It can alternatively be described as the force-to-area ratio (over which the force is acting).
Pressure (P) = Thrust/Area is the formula and the unit of pressure
Pascals (Pa) is the SI unit of pressure. 1 Pa = 1N/m2
An illustration would be that a sharp pin is simpler to hammer than a dull pin. This is due to the fact that a blunt pin's end has a lesser area than a sharp pin's end. As a result, there is an increase in pressure, which makes it simpler to hammer the sharp pin.
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a sign painted no a store window is reversed when viewed from inside the store if a person inside the store views the reversed sign in a plane mirror does the sign appear as itwould when viewed from outside the store
If a sign painted on a store window is reversed when viewed from inside the store and if a person inside the store views the reversed sign in a plane mirror it would appear as it would when viewed from outside the store.
A mirror typically reverses the image when seen from our point of view. Here the sign is initially reversed when seen from inside the store. If the sign is viewed in a mirror from inside the store, the sign would once again be reversed.
Since the sign is reversed from the reversed sign, it would appear normally as viewed from outside the store.
Therefore, if a sign painted on a store window is reversed when viewed from inside the store and if a person inside the store views the reversed sign in a plane mirror it would appear as it would when viewed from outside the store.
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total internal reflection only occurs when the index of refraction of the outside material is material the light is in.
From a medium with a high index of refraction, light moves to one with a low index of refraction.
What is total internal reflection?Total internal reflection is the complete reflection of a light ray from the surrounding surfaces back into a medium, such as glass or water, in physics. If the incidence angle exceeds a specific limiting angle known as the critical angle, the phenomenon will manifest.
A ray of light in a medium with a higher index of refraction typically causes total internal reflection at the border between two transparent media when it approaches the other medium at an angle of incidence larger than the critical angle.
The essential angle for a water-air surface is 48.5°. The critical angle (and thus the angle of total internal reflection) will vary significantly with wavelength and, therefore, with color since indices of refraction depend on wavelength. Both refraction and reflection take place in different amounts at all angles smaller than the critical angle.
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a small ball of mass 23 g is suspended from a string of length 27 cm and whirled in a circle lying in the horizontal plane. If the string makes an angle of 31◦ with the
vertical, find the centripetal force experienced
by the ball. The acceleration of gravity is
9.8 m/s
2
.
Answer in units of N
The centripetal force experienced by the small ball of mass 23 g suspended from the string is 0.1354 N.
Given in the question,
Mass of the ball = 23 g
Length of the string = 27 cm
Angle made with the verticle = 31◦
Let m is the mass of ball
g is the gravitational force.
T is the tension applied on the string,
The horizontal force acting on the small ball is,
Σ Fx = T cosθ - mg
= 0
T = mg / cosθ
The centripetal force acting on the small ball is,
Fc = T sinθ
T = Fc / sinθ
Comparing T and equating both the equations, we have
mg / cosθ = Fc / sinθ
Fc = mg tanθ
Putting the values given , we have,
Fc = 0.023 x 9.8 x tan 31◦
= 0.2254 x 0.60086
= 0.1354 N
Hence, the centripetal force experienced by the small ball of mass 23 g suspended from the string is 0.1354 N.
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How enzymes are working out of the living cells?.
Enzymes are working out of the living cells by binding to reactant molecules.
Enzymes work by binding to reactant molecules and holding them in such a way that the chemical bond-breaking and bond-forming processes take place more readily. Reaction coordinate diagram showing the course of a reaction with and without a catalyst. With the catalyst, the activation energy is lower than without.
Enzymes help with the chemical reactions that keep a person alive and well. For example, they perform a necessary function for metabolism, the process of breaking down food and drink into energy. Enzymes speed up (catalyze) chemical reactions in cells.
Therefore, enzymes are working out of the living cells by binding to reactant molecules.
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