Which statement best describes the superposition principle?
A.
If two in-phase waves arrive simultaneously at a point, their amplitudes add up.
B.
If two out-of-phase waves arrive simultaneously at a point, their amplitudes add up.
C.
If two in-phase waves arrive at a point one after another, their amplitudes add up.
D.
If two out-of-phase waves arrive at a point one after the other, their amplitudes adds up.

Here is your answer

[tex]<b>5 watts</b>[/tex]

REASON :

Given,

t= 20 secs

F= 20 N

s (displacement)= 5m

Now,

Power= \frac{Work done}{time}

P= W/t ...... (i)

W= F×s×cos(theta)

W= 20×5 × 1 (theta is 0 degree; so cos0= 1)

W= 100 J

Hence,

P= 100/20 (from eq. i)

P= 5 watts

HOPE IT IS USEFUL

The point with the greatest potential energy is B.

The potential energy of an object is depends on the relative distance between the object and the ground and its mass. The higher the object is from the ground the greater the potential energy posses.

Potential energy (P.E) = mgh

Where m is the mass, g is the gravity and h is the height from the ground to where the object is.

Since the mass and gravity is constant in this case, only the height will determine the point with the greatest P.E and that point is B.

An electrically charged element is called an "ion". A neutral element is an atom.

If your mass is 140kg , then your mass is 140kg.  

It doesn't make a bit of difference what time it is, whether you're happy or sad, sleeping or lifting weights or running, whether it's raining or shining, hot or cold, climbing a mountain or falling out of an airplane, on the surface of a planet, asteroid, comet or star, or floating or falling through empty lonely outer space.  Your mass is your mass.  The only way it can change is if YOU make changes in yourSELF, like eating a big steak, sweating through a long tough workout, or skipping dinner, or growing to maturity.

(I guess you're already pretty mature.  If your mass is 140kg, then you weigh about 308 pounds when you're on Earth.)

140 kg. since earth and space have different gravity, you will weigh differently. you dont grow or shrink in size. Weight is just how much your pulling on the earth and how much the earth is pushing back. Its in Newtons 3 laws.

Answer:

The correct answer is the acceleration will decrease.

Explanation:

This refers to Newton's second law, where it is established that if a force acts on an object, the object accelerates in the sense of force.

And if the mass of this object is continuous, as the force increases the acceleration will grow. But if what remains constant is force, and what we increase is mass, then the acceleration will be less.

To understand it in a simpler way, let's think about horses and a carriage. The horses begin to pull hard from a carriage, whose mass will remain the same all the way. If this movement continues, then the carriage will start to go faster.

But suppose we change the mass of the carriage, adding two men of 100 kg each. The strength of the horses remains the same, and remains constant. But having a greater mass to move, the carriage will lose speed.

Kinetic energy = (1/2) (mass) (speed)²

KE = (1/2) (1 kg) (30 m/s)²

KE = (1/2) (1 kg) (900 m²/s²)

KE = 450 kg-m²/s²

KE = 450 Joules

That's at the instant it leaves the thrower's hand.  After that, gravity immediately begins to rob its kinetic energy, so the KE starts decreasing right away.

The kinetic energy of a 1-kilogram ball thrown into the air with an initial velocity of 30 m/sec is 450 J.

The kinetic energy of an object is given by the formula KE = 1/2 mv[tex]^[/tex], where m is the mass of the object and v is its velocity.

In this case, the mass of the ball is 1 kilogram and the initial velocity is 30 m/sec.

Plugging these values into the formula, we get KE = 1/2 * 1 kg * (30 m/sec)[tex]^[/tex] = 450 J.

Answer:

[tex]96 m/s^2[/tex]

Explanation:

Centripetal acceleration is given by:

[tex]a_c = \omega^2 r[/tex]

where

[tex]\omega[/tex] is the angular frequency

r is the radius of the trajectory

In fan completes 2 rotations every second, so its frequency is

[tex]f=\frac{2}{1.0 s}=2 Hz[/tex]

And the angular frequency is

[tex]\omega=2\pi f=2\pi(2 Hz)=12.6 rad/s[/tex]

The radius of the trajectory is

r = 0.61 m

So, the centripetal acceleration is

[tex]a=(12.6 rad/s)^2 (0.61 m)=96.8 m/s^2 \sim 96 m/s^2[/tex]

Answer:

B. A virtual image that is larger than the object

Explanation:

The magnification of a lens is given by

[tex]m=\frac{h_i}{h_o}=-\frac{d_i}{d_o}[/tex] (1)

where

[tex]h_i[/tex] is the size of the image

[tex]h_o[/tex] is the size of the object

[tex]d_i[/tex] is the distance of the image from the lens

[tex]d_o[/tex] is the distance of the object from the lens

Some considerations:

[tex]h_o, d_o[/tex] are always taken as positive

if [tex]h_i > h_o[/tex], the image is larger than the object, otherwise it is smaller

if [tex]d_i > 0[/tex], the image is real, otherwise it is virtual

In this situation, we have M = 3.0 (positive number and larger than 1). Looking at eq.(1), this implies:

1) [tex]h_i > h_o[/tex] --> image is larger than the object

2) [tex]d_i < 0[/tex] --> the image is virtual

So, the correct choice is

B. A virtual image that is larger than the object

Answer:

B. A virtual image that is larger than the object

Explanation:

Quiz verified

Answer: D. A glass pane

Explanation: Glass is a poor conductor of electricity. Aluminum, copper and silver are all good conductors of electricity.

A pane of glass can be used as an insulator against electric current because it is a poor conductor of heat.

Glass is made up of silica which is abundant in nature.

The correct answer is B.

Astronomers use both apparent magnitude and absolute magnitude to define how bright a star is. By way of apparent magnitude, astronomers gauge how bright the star seems from the Earth, and b way of absolute magnitude, astronomers gauge how bright the star seems from 10 parsecs/32.6 light years which is a set standard distance.

Answer:

The answer is B. It is the one that has the triangle pointing up on the topside of the rope and seems to be a bit bigger than the other triangles.

Explanation:

Answer:

The second option with a vertex pointing upwards.

Explanation:

A wave is a disturbance that can be transmitted through a medium without causing a permanent displacement of the particles of the medium. The two types are; longitudinal and transverse.

In transverse wave, the direction of propagation of the wave is perpendicular to the direction of vibration of the particles of the medium. Examples are; water waves, light waves, X-ray etc. While in longitudinal waves, the direction of vibration of the particles is parallel to the direction of propagation of the waves. Examples are; waves in a slinky, waves in a rope, sound waves etc.

A wave in a rope is a form of longitudinal waves. When two wave pulses move toward each other, interference is observed.

Answer:

The coefficient of static friction between the hockey puck and the surface.

Explanation:

Static friction is the force that keeps an object from moving. A force must be applied enough to overcome the static friction to move the object. If a smaller force is applied on the object, there is an equal opposite force by static friction against it.

Force of static friction can be calculated if the coefficient of static friction is known.

Salt + water because salt dissolved in water

input force and output force

Answer:

input force and output force

Answer:

the amygdala, the prefrontal cortex, the cingulate cortex, the hippocampus, and the basal ganglia

Explanation:

These are the regions of the brain that read emotions

(not sure if i answered correctly  but i tried. )

An example of the emotional brain at work is the activation of the amygdala during stress, which can trigger a fight-or-flight response. Emotional intelligence involves managing these reactions to make balanced decisions, highlighting the intertwined nature of emotion and rational thought in our cognitive processes.

An example of the emotional brain at work can be seen when you react to a stressor, such as an argument with a friend. In this situation, your amygdala, a part of the limbic system, gets activated. The amygdala processes emotional responses and is known for its role in fear and other emotions. It sends a distress signal to the hypothalamus, which can trigger a fight-or-flight response, involving the release of stress hormones and activation of the sympathetic nervous system.

This reaction is not always rational and can sometimes be too quick, bypassing logical thought processes. However, emotional intelligence at work involves recognizing these emotional responses, understanding their impact, and managing them effectively to make balanced decisions. As research suggests, emotions are integral to rational thinking, and a lack of emotional response due to brain injury can make decision-making difficult and lead to significant life issues.

For the ball to go straight into the goal, the kicker needs to be no more than 6.54 meters away from the goal.

For the ball to arc into the goal, the kicker needs to be between 58.5 and 65.1 meters away from the goal.

How long does it take for the ball to reach the goal?

Let the distance between the kicker and the goal be [tex]x[/tex] meters.

Horizontal velocity of the ball will always be [tex]26.2\times\cos{34.2\textdegree}[/tex] until it lands if there's no air resistance.

The ball will arrive at the goal in [tex]\displaystyle \frac{x}{26.2\times\cos{34.2\textdegree}}[/tex] seconds after it leaves the kicker.

What will be the height of the ball when it reaches the goal?

Consider the equation

[tex]\displaystyle h(t) = -\frac{1}{2}\cdot g\cdot t^{2} + v_{0,\;\text{vertical}} \cdot t + h_0[/tex].

For this soccer ball:

[tex]\displaystyle t=\frac{x}{26.2\times\cos{34.2\textdegree}}[/tex]

when the ball reaches the goal.

[tex]\displaystyle h= - 9.81 \times \frac{x^2}{(26.2\times\cos{34.2\textdegree})^2} + (26.2 \times \sin{34.2\textdegree})\times\frac{x}{26.2\times\cos{34.2\textdegree}} \\\phantom{h} = -\frac{9.81}{(26.2\times\cos{34.2\textdegree})^2}\cdot x^{2} + \frac{\sin{34.2\textdegree}}{\cos{34.2\textdegree}}\cdot x[/tex].

Solve this quadratic equation for [tex]x[/tex], [tex]x > 0[/tex].

In other words,

Answer

4.8 N

If the box is moving with a constant velocity, then we can say that the system is in equilibrium. This is because if the external force (F->) was greater than other forces the box would be accelerating. This tells us that this force (F->) is just enough to overcome friction and so it must be equal to 4.8 N.

The normal force has no effect to the horizontal velocities or forces. It is equal to -Weight. That is -74 N. The negative sign shows that the force is in opposite direction.

During phase changes, energy changes are usually involved. For example, when solid dry ice vaporizes (physical change), carbon dioxide molecules absorb energy. Meanwhile, when liquid water becomes ice energy is released.

hope this helps :)

Energy can be converted from one form to another according to the law of conservation of energy. In physical changes, energy changes the state of a substance without altering its structure, whereas in chemical changes, it involves in forming and breaking bonds, releasing stored energy. These conversions are commonplace in everyday activities, including energy production from food and fuel.

Energy plays a vital role in both physical and chemical changes according to the law of conservation of energy, which states that energy can be neither created nor destroyed, only changed in form. In physical changes, energy is involved in changing the state of a substance without altering its chemical structure, such as melting ice into water. On the other hand, chemical changes involve the breaking and forming of chemical bonds with energy investment, releasing potential energy stored in molecules.

In everyday situations, energy involved in chemical changes significantly impacts our lives. For example, the macronutrients in food (proteins, fats, and carbohydrates) undergo metabolic reactions providing us with the energy we need. Similarly, fuels like gasoline, natural gas, and coal undergo combustion reactions to produce energy for different activities like transportation and heating.

The conversion of chemical energy into other forms of energy can be seen in many familiar instances, such as batteries in a cell phone or a car where chemical reactions produce electrical energy.

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1 hour is 3600 seconds. In 2 hours, it would be 7200 seconds.  Divide the amount of miles by seconds. 100/7200=.01388..

We don't know anything about the direction Jack was traveling, so we can't determine his velocity.  The best we can do is work with his speed.

Speed = (distance covered) / (time to cover the distance)

Speed = (100 miles) / (2 hours)

Speed = 50 miles/hour

The question has specified a different unit, so we'll need to convert the unit of our answer.  

Let's multiply the answer by (1 hour / 3600 seconds).  The numerator and denominator of this fraction are both the same quantity, so the value of the fraction is ' 1 ', and multiplying the answer by it won't change the answer in any way except the unit.

Speed = (50 mi / hr) x (1 hr / 3600 sec)

Speed = (50mi · 1hr)  /  (hr · 3600sec)

Speed = 50 mi / 3600 sec

Speed = 0.01389 mi/sec

Answer:

[tex]4.5\cdot 10^9 N[/tex]

Explanation:

The electric force between two charged objects is given by:

[tex]F=k\frac{q_1 q_2}{r^2}[/tex]

where:

k is the Coulomb's constant

q1 and q2 are the charges of the two objects

r is their separation

In this problem:

q1 = 2.0 C

q2 = 1.0 C

r = 2 m

So, the electric force is

[tex]F=(9\cdot 10^9 Nm^2C^{-2})\frac{(2.0 C)(1.0 C)}{(2 m)^2}=4.5\cdot 10^9 N[/tex]

6. The magnitude of the force that the 2 C object exerts on the 1 C object is 4.495 * 10^9 N. Option C is the right choice.

7. Only increasing the combined charge of both spheres increases the electrical force between them. Option C is the right choice.

6.  

The force between two charged objects is given by Coulomb's law:

F = k * |q1 * q2| / r^2

where:

F is the force between the two charges

k is Coulomb's constant, approximately equal to 8.99 * 10^9 N⋅m^2/C^2

q1 and q2 are the magnitudes of the charges of the two objects

r is the distance between the two objects

In this case, q1 = 2.0 C, q2 = 1.0 C, and r = 2 meters. Plugging these values into Coulomb's law, we get:

F = 8.99 * 10^9 N⋅m^2/C^2 * |2.0 C * 1.0 C| / (2 meters)^2

F = 4.495 * 10^9 N

So the answer is Option C. 4.495 * 10^9N.

7.

The electrical force between two charged spheres depends on the magnitude of their charges and the distance between them, as described by Coulomb's Law.

Increasing the combined mass of the spheres, the diameter of one sphere, or the distance between them has no effect on the force.

Therefore, the only option that increases the force is to increase the combined charge of both spheres. Option C is the right choice.

Shiny surface are poor radiators of heat

A shiny , silver and smooth surface reduce the heat loss of a hot object to its cooler surroundings​ because good radiators and good absorbed of heat have dull, black and rough surfaces while on the other hand poor radiators have smooth and shiny surfaces therefore they reduce the heat loss of a hot object.

To protect a material from the influence of an external magnetic field, the material should be kept in soft iron ring.

So the correct answer is A.

Hope this helps,

Davinia.

The chemical equation needs to be balanced so that it follows the law of conservation of mass. A balanced chemical equation occurs when the number of the different atoms of elements in the reactants side is equal to that of the products side. Balancing chemical equations is a process of trial and error.

In a closed all mass is conserved.  tThe Conservation of mass explains the balanced chemical equation.

This law states that in a closed system the mass of the total mass of all reactants is equal to the total mass of products in a reaction.

For example -

[tex]\bold {CH_4 + 2O_2 \rightarrow2 H_2O +CO_2}[/tex]

1 mole of methane reacts with 2 moles of oxygen to produce 2 moles of water and 1 mole of Carbon dioxide.

Means 3 moles or reactant 3 moles of products.

Therefore, the Conservation of mass explains the balanced chemical equation.

Learn more about Conservation of mass:

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[tex]\bf slope = m = \cfrac{rise}{run} \implies \cfrac{ \stackrel{out put}{f(x_2) - f(x_1)}}{ \stackrel{in put}{x_2 - x_1}}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}[/tex]

Hello! The function of the Pinna is to be a kind of funnel that assists in directing sound further into the ear. Without this funnel the sound waves would take more direct routes to the auditory canal. This would be difficult and wasteful as much of the sound would be lost making it harder to understand the sounds.  Hope this helps!

The pinna plays a crucial role in the auditory system by aiding in sound collection, localization, amplification, and protection of the more sensitive parts of the ear.

The function of the pinna, which is the external part of the ear, is to collect sound waves and funnel them into the ear canal towards the eardrum. Additionally, the pinna helps in localizing the source of a sound by providing directional cues, which are particularly important for vertical localization (determining if a sound is coming from above or below). The unique shape of the pinna also aids in amplifying certain frequencies, which can enhance the perception of sound.

To understand the role of the pinna in sound localization, consider the following:

 1. Sound Collection: The cupped shape of the pinna collects sound waves and directs them into the ear canal. This increases the sound pressure at the eardrum, which is beneficial for hearing faint sounds.

 2. Directional Cues: The pinna's shape causes different frequencies to be reflected or absorbed in a way that depends on the angle of incidence of the sound wave. This creates a unique frequency signature for sounds coming from different directions, especially in the vertical plane.

 3. Amplification: The pinna can amplify certain frequencies, particularly those in the range of human speech, making it easier to hear and understand conversations in noisy environments.

 4. Protection: The pinna also serves to protect the more delicate structures of the middle and inner ear from mechanical damage and foreign objects.

Work = 6N x 12 meters = 72 J

The work done in lifting a 6-newton object by 12 meters is 72 joules.

When a 6-newton object is raised 12 meters, the work done can be calculated using the formula Work (W) = [tex]force (F) imes[/tex] distance (d). In this case, the force is equivalent to the weight of the object since it is being lifted against gravity. Thus, the work done is calculated as W = (6 N)(12 m) = 72 joules (J). Remember, work is the product of the force applied to an object and the distance the object moves in the direction of the force.

As speed changes, wavelength changes and frequency stays constant. (1)

Answer:

As speed changes, wavelength changes and frequency stays constant.  

Explanation:

The gravitational force depends on the mass of objects and the distance between them, doubling in force with double the mass and reducing to one-fourth with double the distance due to the inverse-square law.

The relationship between gravitational force, mass, and distance is governed by the universal law of gravitation. According to this law, the gravitational force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. This can be expressed by the formula F = G (m1*m2) / d2, where F is the gravitational force, G is the gravitational constant, m1 and m2 are the masses of the objects, and d is the distance between the centers of the two masses.

Doubling the mass of an object would result in a doubling of the gravitational force since force is linearly proportional to mass. Conversely, doubling the distance between two objects would result in the gravitational force being reduced to a quarter of its original value, as the force is inversely proportional to the square of the distance. Therefore, doubling the distance has a more significant effect in decreasing the gravitational force than doubling the mass has in increasing it.

'Dispersion of Light' can be defined as the splitting of white light when it passes through a glass prism into its constituent spectrum of colors (i.e. violet, indigo, blue, green, yellow, orange and red).

Light can be split into seven wavelengths when the light is passed through a prism or scatterd by air molecules in the atmosphere.

The term diffraction has to do with the splittiing of light into several wavelengths. This is often achieved by passing the light through a prism which splits it into seven wavelengths.

Hence, light can be split into seven wavelengths when the light is passed through a prism or scatterd by air molecules in the atmosphere.

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The changing magnetic field caused by the material's motion induces a current in the coil of wire proportional to the change in field. If a 0 is represented, the magnetic field does not change between the two domains of a bit, so no current is induced as the magnetic material passes the coil.

Answer:

Change in the direction of current in a wire will change the magnetic field caused by that wire

Explanation:

As we know by Biot Savart law that magnetic field due to a current carrying element is given by

[tex]dB = \frac{\mu_o i (\vec {dL} \times \hat r)}{4\pi r^2}[/tex]

so here if the direction of current in the wire reversed then it will change the direction of length vector

This will reverse the direction of magnetic field at a given space

So magnetic field produced by a current carrying element only depends on the direction of the current so on reversing the direction of current we can change the magnetic field direction