Suppose you were bungee jumping from a bridge while blowing a hand-held air horn. How would someone remaining on the bridge hear the pitch of the air horn as time increased?

a. The pitch would get progressively lower (i.e., smaller frequency)

b. The pitch would get progressively higher (i.e., larger frequency)

c. The pitch would remain the same (i.e., constant frequency)

Explanation:

There are three ways in which the thermal transfer (heat) occurs:

1. By Conduction, when the transmission is by the direct contact.  

2. By Convection, heat transfer in fluids (like water or the air, for example).  

3. By Radiation, by the electromagnetic waves (they can travel through any medium and in vacumm or empty space)

Since outter space is vacuum (sometimes called "empty"), energy cannot be transmitted by convection, nor conduction. It must be transmitted by electromagnetic waves that are able to travel with or without a medium.

Explanation:

1. Average acceleration is change in velocity over change in time.

a = Δv / Δt

a = (12 m/s - 9.6 m/s) / 0.8 s

a = 3 m/s²

2. a = Δv / Δt

9.8 m/s² = (14.7 m/s - 0 m/s) / Δt

Δt = 1.5 s

3. Force is mass times acceleration.

F = ma

F = (1250 kg) (40 m/s²)

F = 50,000 N

4. F = ma

500 N = m (9.8 m/s²)

m ≈ 51 kg

The problems are solved by applying physics concepts and formulas: acceleration (`(final velocity - initial velocity)/time`), time (`velocity/acceleration`), force (`mass x acceleration`), and weight (`mass x gravity`), thereby finding the acceleration as 3 m/s², the time as 1.5s, the force as 50,000N, and the person's mass as 51kg.

The questions are related to fundamental concepts in Physics; namely acceleration, time, force, and mass.

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Answer:

Check the first and the third choices:

Explanation:

Rewrite the table for better understanding:

Temperature of gas (K)     Volume of gas (L)

     298                                     4.55

     315                                      4.81

     325                                     4.96

     335                                        ?

Calculate the ratios temperature to volume with 3 significant figures:

Then, those numbers show a constant temperature-to-volume ratio, which may be expressed in a formula as:

Hence, the correct choices are:

The data provided by the student supports the formulation of a tentative law that aligns with Charles's law, indicating that the temperature of a gas is directly proportional to its volume, and the temperature-to-volume ratio of a gas is constant when pressure is held constant.

The student's measurements of the volume of a gas sample at different temperatures demonstrate a principle in chemistry known as Charles's law. According to this law, the volume of a gas is directly proportional to its temperature when pressure is held constant. Given the data provided, we can infer that as the temperature of the gas increases, so does its volume. This observation can be used to tentatively declare a law based on the student's measurements.

From the answer choices provided:

These explanations are consistent with the observed data that show the volume of the gas increases with increasing temperature. Thus, choices (a) and (c) are the correct interpretations of the experimental data.

The electric field inside a parallel plate capacitor is given by:

E = Q/(ε₀A)

E is the electric field, Q is the charge stored on one of the plates, and A is the area of one of the plates.

The plates are circular, so the area A of one of the plates is given by:

A = πr²

where r is the radius.

Therefore the electric field is given by:

E = Q/(ε₀πr²)

Given values:

E = 3×10⁶N/C (max E field allowed before breakdown occurs)

r = 54×10⁻²m

Plug in these values and solve for Q:

3×10⁶ = Q/(ε₀π(54×10⁻²)²)

Q = 2.4×10⁻⁵C

Answer:

The impulse delivered to the bungee jumper is 1.32 kN.s

Explanation:

The situation can be shown graphically as shown in the figure.

Impulse delivered to the bungee jumper = Area under the curve.

The curve represents a triangle and the area of traiangle = (1/2)base×height

The base of the triangle from the graph = 1.2 seconds.

The height of the triangle from the graph = 2.2 kN

Thus,

Impulse = (1/2)×(1.2 seconds)×(2.2 kN) = 1.32 kN.s

(a) [tex]18.4^{\circ}[/tex]

We know that the horizontal distance travelled by the arrow is

d = 75.0 m

We also know that the horizontal range of a projectile is given by

[tex]d=\frac{v^2}{g} sin 2\theta[/tex]

where

v is the speed of the projectile

g = 9.8 m/s^2 is the acceleration of gravity

[tex]\theta[/tex] is the angle of the projectile

Here we have

v = 35.0 m/s

Substituting into the equation and solving for [tex]\theta[/tex], we find

[tex]\theta=\frac{1}{2}sin^{-1} (\frac{dg}{v^2})=\frac{1}{2}sin^{-1} (\frac{(75.0 m)(9.8 m/s^2)}{(35.0 m/s)^2})=18.4^{\circ}[/tex]

(b) 6.2 m

In order to answer this part of the problem, we have to calculate what is the maximum height reached by the projectile in its trajectory.

First of all, we can calculate the vertical component of the velocity, which is given by:

[tex]u_y = u sin \theta = (35.0 m/s) sin 18.4^{\circ} = 11.0 m/s[/tex]

The motion along the vertical direction is a uniformly accelerated motion with constant acceleration

g = -9.8 m/s^2

(negative since it points downward). So we can write

[tex]v_y^2 - u_y^2 = 2gh[/tex]

where

[tex]v_y = 0[/tex] is the vertical velocity at the point of maximum height

h is the maximum height

Solving for h, we find

[tex]h=\frac{v_y^2 - u_y^2}{2g}=\frac{0-(11.0 m/s)^2}{2(-9.8 m/s^2)}=6.2 m[/tex]

Therefore, the arrow will go over the branch (which is located 3.50 m above the ground).

Projectile motion principles can be used to solve this problem. θ can be calculated by substituting the given values into the kinematic equation. To know if the arrow goes over or under the branch, calculate the arrow's height at halfway point and compare with the height of the branch.

The subject of this question pertains to projectile motion in physics. In order to solve this, we must apply kinematic equations, specifically the equation for horizontal projectile motion which is θ = arctan[(v² ± √(v⁴ - g*(g*x² + 2*y*v²)) / (g*x)], where v is the initial speed, g is the acceleration due to gravity, x is the horizontal distance, and y is the vertical distance.

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Answer:

Nuclear energy originates from the splitting of uranium atoms – a process called fission. This generates heat to produce steam, which is used by a turbine generator to generate electricity. Because nuclear power plants do not burn fuel, they do not produce greenhouse gas emissions.

Explanation:

Nuclear energy primarily comes from the process of nuclear fission, specifically the splitting of Uranium-235 atoms. This process releases immense energy which is utilized to generate power in nuclear power plants.

Nuclear energy, used feasible in power plants, comes primarily from the process of splitting atoms of Uranium-235, a process known as nuclear fission. In this process, a neutron collides with a Uranium atom, causing the atom to split and release more neutrons along with a large amount of energy. This energy, in the form of heat, is then used to produce steam which drives turbines, thereby generating electricity.

Thus, it's clear that the process of splitting large, complex atomic nuclei, particularly those of Uranium-235, not only induces a chain reaction (due to the release of more neutrons) but also provides us with a sophisticated method of generating power in the form of nuclear energy.

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Explanation:

Force = Mass × Acceleration

1.6 = 2.2 × a

a = 1.6/2.2

= 0.73 m/s^2

Note that the acceleration will be negative.

Answer: The acceleration of the book is [tex]0.73m/s^2[/tex]  

Explanation:

Force is defined as the push or pull on an object with some mass that causes change in its velocity.

It is also defined as the mass multiplied by the acceleration of the object.

Mathematically,

[tex]F=ma[/tex]

where,

F = force exerted on the book = 1.6 N

m = mass of the book = 2.2 kg

a = acceleration of the book = ?

Putting values in above equation, we get:

[tex]1.6kg.m/s^2=2.2\times a\\\\a=\frac{1.6}{2.2}=0.73m/s^2[/tex]

Hence, the acceleration of the book is [tex]0.73m/s^2[/tex]

Answer:

height from where rock was thrown is 27.916 m

Explanation:

speed = 7.50 m/s

θ = 30°

g= 9.8 m/s²

horizontal distance = 18 m

time require for vertical displacement

[tex]time = \frac{distance}{velocity} \\t = \frac{18}{7.5\ cos30^0}[/tex]

t = 2.8 sec

now for calculation of height

s = ut + 0.5 a t²

-h = v sinθ× t + 0.5 ×(-9.8)× (2.8²)

-h = 7.5 sin30°× 2.8 - 0.5 ×(9.8)× (2.8²)

-h = -27.916 m

h= 27.916 m

height from where rock was thrown is 27.916 m

Final answer:

To find the height from which the rock was thrown, we can use the equations of projectile motion to calculate the time it takes for the rock to hit the ground and then find the height using another equation. The rock was thrown from a height of 5.7 meters.

Explanation:

To find the height from which the rock was thrown, first, we need to determine the time it takes for the rock to hit the ground.

Using the equation d = v_iy * t + (1/2) * g * t^2, where d is the vertical distance, v_iy is the initial vertical velocity, t is the time, and g is the acceleration due to gravity, plug in the values:

d = 0 (since the rock starts and ends at the same height)

v_iy = 7.5 m/s * sin(30°)

g = 9.8 m/s^2

Solving for t, we get t = 1.22 s.

Next, we can find the height by using the equation d = v_iy * t - (1/2) * g * t^2 and plugging in the values:

d = ?, the height we want to find

v_iy = 7.5 m/s * sin(30°)

t = 1.22 s

g = 9.8 m/s^2

Solving for d, we get d = 5.7 m.

Therefore, the rock was thrown from a height of 5.7 meters.

Acetic acid, with the chemical formula C2H4O2, is composed of B. 8 atoms.

Acetic acid is represented by the chemical formula C2H4O2. In this formula, there are 2 carbon atoms, 4 hydrogen atoms, and 2 oxygen atoms.

Each letter in the chemical formula corresponds to one atom, and the subscripts denote the number of atoms of each element present. By adding these numbers together (2 + 4 + 2), we obtain the total number of atoms in acetic acid, which is 8. Therefore, the correct option is B (8).

Acetic acid, with its molecular formula C2H4O2, consists of 8 atoms in total, comprising carbon, hydrogen, and oxygen.

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Like any other wave, the speed of the wave on the rope is

Speed = (frequency) x (wavelength)

Speed = (4 Hz) x (0.5 m)

Speed = 2 m/s

True IF the engine is 25% efficient. False otherwise.

Answer:

.864 M

Explanation:

For first order decomposition,

rate constant k = 1/t x ln a / (a - x )

given , a = 1.33 M , t = 644 s , k = 6.7 x 10⁻⁴ , a - x  = ? = b( let )

6.7 x 10 ⁻⁴ = 1/644 x ln 1.33/b

ln 1.33/b = 6.7 x 10⁻⁴ x 644 = .4315

1.33 / b = e⁰ ⁴³¹⁵ = 1.5395

b = 1.33 / 1.5395 = .864 M.

Explanation:

Galileo observed that Venus presented phases (such as those of the moon) together with a variation in size; observations that are only compatible with the fact that Venus rotates around the Sun and not around Earth.  

This is because Venus presented its smaller size when it was in full phase and the largest size when it was in the new one, when it is between the Sun and the Earth.  

In other words: When Venus is in its full phase it is not possible to observe it from the Earth because always in this phase, Venus, the Sun and the Earth are in conjunction (or aligned).  This means the Sun is between Venus and Earth, in the orbit that both planets describe around this star.

Therefore, from the Earth, the Sun covers Venus.

This fact along with other discoveries were presented by Galileo to the Catholic Church (which supported the geocentric theory at that time) as a proof that completely refuted Ptolemy's geocentric system and affirmed Copernicus' heliocentric theory.

Answer:

1.9 m.

Explanation:

Three complete waves in the length of 5.7 m

The distance traveled by one complete wave is called wavelength.

Thus, the distance traveled by one wave = 5.7 / 3 = 1.9 m

Thus, the wavelength is 1.9 m.

Answer:

wavelength = 3.8 m

Explanation:

As we know that linear mass density is defined as the ratio of mass and length

so here we have

[tex]\mu = \frac{m}{L}[/tex]

[tex]\mu = \frac{0.180}{5.70}[/tex]

now we have

[tex]\mu = 0.0315 kg/m[/tex]

Now it is given that string contains three complete waves

length of one segment on string is half of the wavelength

so here we have

[tex]3\frac{\lambda}{2} = 5.70 m[/tex]

[tex]\lambda = 3.8 m[/tex]

So wavelength of the wave on string is 3.8 m

Answer:

Charge, [tex]q=1.72\times 10^{-16}\ C[/tex]    

Explanation:

It is given that, two tiny spheres have the same mass and carry charges of the same magnitude. Let charge on both sphere is q.

Also, the gravitational force that each sphere exerts on the other is balanced by the electric force i.e.

[tex]F_g=F_e[/tex]

[tex]G\dfrac{m^2}{r^2}=k\dfrac{q^2}{r^2}[/tex]

[tex]q=\sqrt{\dfrac{Gm^2}{k}}[/tex]

Where

G is the universal gravitational constant

k is the electrostatic constant

[tex]q=\sqrt{\dfrac{6.67\times 10^{-11}\ Nm^2/kg^2\times (2\times 10^{-6}\ kg)^2}{9\times 10^9\ Nm^2/C^2}}[/tex]

[tex]q=1.72\times 10^{-16}\ C[/tex]

So, the charge on both the spheres is [tex]1.72\times 10^{-16}\ C[/tex]. Hence, this is the required solution.

Answer:

[tex] q =5.439\times 10^{-17}C[/tex]

Explanation:

Given:

Mass of the tiny sphere, M = 2.0 × 10⁻⁶ kg

also masses are equal i.e M₁ = M₂

Now,

the gravitational force between the two masses M₁ and M₂ is given as:

[tex]F_G = \frac{GM_1M_2}{r^2}[/tex]

where,

G is the gravitational force constant = 6.67 x 10⁻¹¹ m³/kg.s²

r = center to center distance between the masses

also,

Electric force between the charges is given as

[tex]F_e=\frac{kq_1q_2}{r^2}[/tex]

where,

q₁ and q₂ are the charges and also it is given that q₁=q₂=q

k is the coulomb's law constant =  9.0 x 10⁹ N.m²/C²

since it is mentioned that [tex]F_G = F_e[/tex]

we have

[tex]\frac{kq_1q_2}{r^2} = \frac{GM_1M_2}{r^2}[/tex]

or

[tex]{9\times 10^9\times q^2} ={6.67\times 10^{-11}(2.0\times 10^{-6})^2}[/tex]

or

[tex] q =5.439\times 10^{-17}C[/tex]

Answer: The volume of balloon when it reaches the surface is 7.5 L.

Explanation:

The normal pressure at the surface of sea is 1 atm.

To calculate the volume of balloon, we use the equation given by Boyle's law.

This law states that pressure of the gas is inversely proportional to the volume of the gas at constant temperature. The equation for this law follows:

[tex]P_1V_1=P_2V_2[/tex]

[tex]P_1\text{ and }V_1[/tex] are initial pressure and volume.

[tex]P_2\text{ and }V_2[/tex] are final pressure and volume.

We are given:

[tex]P_1=2.5atm\\V_1=3.00L\\P_2=1atm\\V_2=?L[/tex]

Putting values in above equation, we get:

[tex]2.5atm\times 3L=1atm\times V_2\\\\V_2=7.5L[/tex]

Hence, the volume of balloon when it reaches the surface is 7.5 L.

Answer:

B) 1.2 N, toward the center of the circle

Explanation:

The circumference of the circle is:

C = 2πr

C = 2π (0.70 m)

C = 4.40 m

So the velocity of the ball is:

v = C/t

v = 4.40 m / 0.60 s

v = 7.33 m/s

Sum of the forces in the radial direction:

∑F = ma

T = m v² / r

T = (0.015 kg) (7.33 m/s)² / (0.70 m)

T = 1.2 N

The tension force is 1.2 N towards the center of the circle.

Answer:

1.2 N, toward the center of the circle

Explanation:

It is given that,

Mass of the ball, m = 0.015 kg

The radius of the circle, r = 0.7 m

Time taken by the ball to complete complete circle, t = 0.6 s

We need to find the tension in the string and its direction that provides the centripetal force acting on the ball to keep it in the circular path. Here, tension in the string balances the centripetal force so that the ball moves in circular path. So,

[tex]T=\dfrac{mv^2}{r}[/tex]

Since, [tex]v=\dfrac{2\pi r}{t}=\dfrac{2\pi \times 0.7}{0.6}=7.33\ m/s[/tex]

So, [tex]T=\dfrac{0.015\times (7.33)^2}{0.7}[/tex]

T = 1.15 N

or

T = 1.2 N

The direction of centripetal force is toward the center of circle. So, the correct option is (b).

Explanation:

According to classical physics, a magnetic field always has two associated magnetic poles (north and south), the same happens with magnets. This means that if we break a magnet in half, we will have two magnets, where each new magnet will have a new south pole, and a new north pole. However, the magnetic force of each magnet will be less than that of the original magnet.

This is because for classical physics, naturally, magnetic monopoles can not exist.

Nevertheless,  according to quantum physics, magnetic monopoles do exist, which was predicted by Paul Dirac in 1981. This has led to several experiments and investigations, among which the most recent one so far (year 2014), is the experiment led by a group of scientists from the Amherst College (United States) and the University of Aalto (Finland), that reported having synthesized for the first time in a laboratory a magnet of a single magnetic pole.

Microwaves is a form of electromagnetic waves like light.

Answer: Option A

Explanation:

Electromagnetic spectrum constitutes a broad classification of waves of different wavelength starting from radio waves to gamma rays. Microwaves are in the order of Giga hertz (i.e) 10^9 where it finds major applications like antennas used in the television, frequency of FM radio channels, cellular phones, e.t.c.

Their wavelength ranges from 1 meter to one millimeter. The sun is also capable of emitting microwaves where most of them are observed by the earth's atmosphere.

Answer:

Explanation:

tube:

f=v/4L = 343/(4*1.2)= 71.4583Hz tube's fundamental frequency  

wire:  

f=v/2L -> v=2Lf

v= 2*0.323*71.4583= 46.162m/s  

ρ= 0.0095/0.323= 0.02941kg/m  

v=√(T/ρ) -> T=v^2*ρ

T= 46.162^2*0.02941= 62.67[N] Tension of wire.

Answer: the creect answer is 10^-4

Explanation:

CGS stands for Cetimetre-Gram-Metre system and Gaussian units constitute a metric system of physical units.  

One gauss (G) is equivalent to 1x10^-4 tesla (T) and is used as a unit for measuring magnetic field strength.

The cgs unit for magnetic field strength is the gauss (G), which is a smaller unit compared to the SI unit of tesla (T). When converting from gauss to tesla, the relation is that 1 gauss is equal to ×10-4 tesla. For reference, the Earth's magnetic field at its surface is about 0.5 G, or 5 × 10-5 T.

Explanation:

The diffraction angles [tex]\theta_{n}[/tex] when we have a slit divided into [tex]n[/tex] parts are obtained by the following equation:

[tex]dsin\theta_{n}=n\lambda[/tex] (1)

Where:

[tex]d[/tex] is the width of the slit

[tex]\lambda[/tex] is the wavelength of the light  

[tex]n[/tex] is an integer different from zero

Now, the first-order diffraction angle is given when [tex]n=1[/tex], hence equation (1) becomes:

[tex]dsin\theta_{1}=\lambda[/tex] (2)

We know:

[tex]\theta_{1}=34\°[/tex]

In addition we are told the diffraction grating has 750 slits per mm, this means:

[tex]d=\frac{1mm}{750}[/tex]

Solving (2) with the known values we will find [tex]\lambda[/tex]:

[tex]\lambda=(\frac{1mm}{750})sin(34\°)[/tex] (3)

[tex]\lambda=0.00074559mm[/tex] (4)

Knowing [tex]1mm=10^{6}nm[/tex]:

[tex]\lambda=745.59nm[/tex]  >>>This is the wavelength of the light, wich corresponds to red.

Explanation:

The Drag Force equation is:

[tex]F_{D}=\frac{1}{2}C_{D}\rho A_{D}V^{2}[/tex] (1)

Where:

[tex]F_{D}[/tex] is the Drag Force

[tex]C_{D}[/tex] is the Drag coefficient, which depends on the material

[tex]\rho[/tex] is the density of the fluid where the bicycle is moving (air in this case)

[tex]A_{D}[/tex] is the transversal area of the body or object

[tex]V[/tex] the bicycle's velocity

Now, if we assume [tex]C_{D}[/tex], [tex]\rho[/tex] and [tex]A_{D}[/tex] are constant (do not change) we can rewrite (1) as:

[tex]F_{D}=C.V^{2}[/tex] (2)

Where [tex]C[/tex] groups all these coefficients.

So, if we have a new velocity [tex]V_{n}[/tex] , which is the double of the former velocity:

[tex]V_{n}=2V[/tex] (3)

Equation (2) is written as:

[tex]F_{D}=C.(V_{n})^{2}=C.(2V)^{2}[/tex]

[tex]F_{D}=4CV^{2}[/tex] (4)

Comparing (2) and (4) we can conclude the Drag force is four times greater when the speed is doubled.

Answer:

B. upper end

Explanation:

An engine's upper end contains the cylinder head, the valves, the valve train components, the manifolds, and the engine covers.

Final answer:

The upper end of an engine contains important components such as the cylinder head, valves, and valve train components.

Explanation:

The answer to the question is B. upper end. The upper end of an engine refers to the components located above the engine block. This includes the cylinder head, valves, valve train components, manifolds, and engine covers. These components are responsible for controlling the flow of air and fuel into the cylinders and the expulsion of exhaust gases.

Answer:

0.6375 m/s

Explanation:

Let x be the distance of the man from the building

from the figure attached

initially the value of x=12

Given:

[tex]\frac{dx}{dt}=-1.7m/s[/tex]

where the negative sign depicts that the distance of the man from the building is decreasing.

Now, Let The length of the shadow be = y

we have to calculate [tex]\frac{dy}{dt}[/tex] when x=4

from the similar triangles

we have,

[tex]\frac{2}{12-x}=\frac{y}{12}[/tex]    

or

[tex]y=\frac{24}{12-x}[/tex]

Differentiating with respect to time 't' we get

[tex]\frac{dy}{dt}=-\frac{24}{12-x}^2\frac{-dx}{dt}[/tex]

or

[tex]\frac{dy}{dt}=\frac{24}{12-x}^2\frac{dx}{dt}[/tex]

Now for x = 4, and [tex]\frac{dx}{dt}=-1.7m/s[/tex]  we have,

[tex]\frac{dy}{dt}=\frac{24}{12-4}^2\times (-1.7)[/tex]

or

[tex]\frac{dy}{dt}=-0.6375m/s[/tex]

here, the negative sign depicts the decrease in length and in the question it is asked the decreasing rate  thus, the answer is 0.6375m/s

Explanation:

The reason why Marina sees the colour red, white and blue or the original colour of the American flag is that because of a phenomenon known as Afterimage. The retina in our eyes have mainly three receptors that are colour sensitive known as cones. These receptors can perceive the colour green, red and blue. Now when we look or stare at a particular colour for a long time, what happen is that our retina becomes tired and they ignore the colours that stared at. And now they work to form other colours at the retina just like the way when we produce other colour from the primary colour.

If the red receptor gets exhausted we will see the colour red. Likewise when we see the colour orange when we stare at the colour blue.

This explains the optical illusion of the American flag.

Final answer:

Marina's observation of a red, white, and blue afterimage after staring at a green, yellow, and black flag is explained by the opponent-process theory of color perception. This theory indicates that colors are perceived in opposing pairs, and overstimulation of certain color-sensitive cells can lead to the perception of their opposite colors when looking away.

Explanation:

The Opponent-Process Theory of Color Perception

The optical illusion experienced by Marina where she sees an afterimage of the American flag in red, white, and blue after staring at a flag colored green, yellow, and black can be explained by the opponent-process theory of color perception.

This theory suggests that color perception is controlled by the activity of two opposing sets of colors: red versus green, and blue versus yellow, plus a black versus white system. When Marina stares at the green, yellow, and black flag, the respective ganglion cells in her retina which are associated with these colors become fatigued.

After looking away and viewing a blank screen, these cells reduce their activity, resulting in Marina's brain interpreting the lack of those colors as their opposites, which are red, white, and blue. This means that the afterimage is not just a random occurrence but rather a direct consequence of the way our visual system works to perceive colors.

The opponent-process theory is supported by how the retinal ganglion cells and the neurons in the visual cortex process color signals, as well as experimental demonstrations like staring at a flag and observing the afterimage that appears.

This illusion occurs because while staring at the flag, the green, black, and yellow sensitive ganglion cells become overstimulated and when the gaze is moved to a white background, the decreased stimulation is interpreted as their opponent colors. This effect persists until the ganglion cells return to their normal activity state, at which point the afterimage will fade away.

Answer:

The ratio of kinetic energies of 5 kg object to 20 kg object is 1:1.

Explanation:

Kinetic energy is defined as energy possessed by an object due to its motion.It is calculated by:

[tex]K.E=\frac{1}{2}mv^2[/tex]

Kinetic energy of the 5 kg object.

Mass of object,m = 5 kg

Velocity of an object = v

[tex]K.E=\frac{1}{2}mv^2=\frac{1}{2}\times 5kg\times v^2[/tex]

Kinetic energy of the 20 kg object.

Mass of object,m' = 20 kg

Velocity of an object = v'

[tex]K.E=\frac{1}{2}mv^2=\frac{1}{2}\times 20kg\times v'^2[/tex]

The ratio of the kinetic energy of the 5 kilogram object to the kinetic energy of the 20-kilogram object:

[tex]\frac{K.E}{K.E'}=\frac{\frac{1}{2}\times 5kg\times v^2}{\frac{1}{2}\times 20kg\times v'^2}[/tex]

Given that, v = 2v'

[tex]\frac{K.E}{K.E'}=\frac{1}{1}[/tex]

The ratio of kinetic energies of 5 kg object to 20 kg object is 1:1.

Answer: Option (A) is the correct answer.

Explanation:

A diamagnetic material does not contain any unpaired electrons and therefore, in a magnetic field direction they will always flow in the direction opposite to the magnetic field.

Hence, a diamagnetic material will always repel the magnetic field whenever it comes in contact with that.

Thus, we can conclude that when the other end of the cylinder is brought near the North pole of the magnet then the other end of the cylinder will be repelled by the magnet.

At maximum displacement (amplitude) in simple harmonic motion, the speed of the object is zero and the restoring force is at its maximum. This is because the object has momentarily stopped before changing direction to move back towards the equilibrium.

When an object in simple harmonic motion is at its maximum displacement from the equilibrium position, its speed is zero and the magnitude of the restoring force is at its maximum. This is because at maximum displacement, the object has stretched the spring to its limit and hence the spring force (the restoring force) is at its peak. This force aims to pull the object back to the equilibrium position. However, at this point, the object has not yet started moving back, so its speed is zero.

Consider a scenario with a spring-object system: if the object is pulled max away from the equilibrium position (max displacement or amplitude), the spring force is at max (Hooke's law: F = -kx where F is the restoring force, k is the spring constant, and x is the displacement). Since the object is momentarily at rest before it starts moving back towards the equilibrium, its velocity or speed is zero.

Consequently, at maximum displacement (amplitude), the speed is zero while the restoring force is maximum.

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