If the antenna elements are horizontally polarized dipoles with Eθ = âθ jµ (kIol / 4πr) e^(-jkr) |cos θ| what is the expression for the total radiated field of the array? (5 pts)

The movement of wave can be detected using scientific instruments.

One such example is Seismometer.

Thus, the statement is false.

Increase in mass and velocity, increases the momentum of a rugby player and a player with more momentum will be difficult to stop and he be of advantage to his team.

Momentum is important in sport, particularly contact sports where collisions are involved. For example rugby, the more momentum a rugby player has the harder it is to stop him.

Momentum is defined as the product of mass and velocity.

P = mv

where;

The massive a player is, the more momentum he will have and also the greater the velocity of the player, the more momentum the player will have.

Thus, increase in mass and velocity, increases the momentum of a rugby player and a player with more momentum will be difficult to stop and he be of advantage to his team.

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Answer:

When the sun shines onto a solar panel, energy from the sunlight is absorbed by the PV cells in the panel. This energy creates electrical charges that move in response to an internal electrical field in the cell, causing electricity to flow.

Answer:

If the water in the left side drops .2 m then the water on the right side rises by .2 m

The pressure on the gas is due to the height difference of the water on the two sides.

P = ρ g h

ρ g = 9.8 m/s^2 * 1000 kg / m^3 = 9800 N/m^3      weight density of water

P = 9800 N/m^3 * .4 m = 3920 N / m^2 = 3.92E3 N/m^2

Absolute pressure of gas = 3.92E3 / 1.01E5 = .0388 atmosphere

The current through the circuit after 12.5 ms is 2.5864 A.

The characteristic time constant of a 23.2 mh inductor that has a resistance of 4.21 ω is 5.82115 ms.

If it is connected to a 12.0 v battery, the current after 12.5 ms will be 2.5864 A.

Below are the steps to get to the answer:(a) Calculate the characteristic time constant of the circuit using the formula:τ = L/RWhere τ is the time constant, L is the inductance of the inductor, and R is the resistance of the circuit.tau=23.2mH/4.21Ω=5.82115ms

Hence, the characteristic time constant of the circuit is 5.82115 ms.

(b) To calculate the current through the circuit, we need to use the formula:i = (V/R) [1 - e(-t/τ)]Where i is the current, V is the voltage of the battery, R is the resistance of the circuit, t is the time, and τ is the characteristic time constant of the circuit.i = (12/4.21) [1 - e(-12.5/5.82115)]i = 2.5864

Hence, the current through the circuit after 12.5 ms is 2.5864 A.

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Answer:

Distance travelled is 7 meters and the displacement is 3 meters

Any item that is at rest has zero momentum. At rest, there is no “mass in motion” or momentum for the object. For the purpose of comparing the momentum of two objects, mass and velocity are both significant factors. Thus, option A is correct.

A force accelerates an object if it acts in the same direction as the object's motion. A force will alter an object's velocity either way. Additionally, if an object's velocity changes, its momentum will as well.

Therefore, In a collision, an object encounters a force for a predetermined period of time, changing the velocity of its mass (i.e., that results in a momentum change). The impulse-momentum change theorem refers to this.

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Answer:

there is less mass to move so the 2kg ball will move faster. the kinetic energy of the 5kg ball will move slower due to the fact that it needs more energy to move if it has more mass.

Answer:

the 2kg ball

Explanation:

there is less mass to move so the 2kg ball will move faster. the kinetic energy of the 5kg ball will move slower due to the fact that it needs more energy to move if it has more mass.

The speed of the baseball when it hits the ground will be 14.7 m/s.

To solve this problem, we can use the equations of motion to determine the horizontal distance traveled by the baseball and its final speed when it hits the ground.

Let's denote the horizontal distance traveled by the baseball as "x" and the initial vertical velocity as "vy" (which is zero in this case since the ball is projected horizontally). The vertical position of the ball can be described by the equation:

y = yi + vy*t + (1/2)*g*t^2

where:

- y is the vertical position at any time t

- yi is the initial vertical position (2.05 m)

- vy is the initial vertical velocity (0 m/s)

- g is the acceleration due to gravity (-9.8 m/s^2)

- t is the time

Since the ball hits the ground, the vertical position y becomes zero. We can solve for the time it takes for the ball to reach the ground:

0 = yi + vy*t + (1/2)*g*t^2

0 = 2.05 + 0*t + (1/2)*(-9.8)*t^2

0 = 2.05 - 4.9t^2

Solving this quadratic equation, we find two solutions for t: t = 0.643 s and t = -0.643 s. We discard the negative value since time cannot be negative in this context.

Now that we know the time it takes for the ball to hit the ground, we can calculate the horizontal distance x using the equation:

x = vx*t

where:

- vx is the horizontal velocity (14.7 m/s)

Substituting the values, we have:

x = (14.7 m/s) * (0.643 s)

x ≈ 9.46 m

Therefore, the ball will hit the ground at a horizontal distance of approximately 9.46 meters.

To find the speed of the baseball when it hits the ground, we can use the equation for horizontal velocity:

vx = initial velocity

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A gas water heater is 75% efficient. The energy output used to heat the water is 4.6 kWh.then the energy input is 6.1  kWh

The efficiency of an Indian can be defined as the ratio of the total useful work done by the engine to the total heat absorbed by the engine

It can be represented in the form of percentages or in terms of fractions as well.

In general, the efficiency of an engine is represented by the greek symbol η.

Efficiency = output heat  /input heat

η = output heat /input heat

0.75  = 4.6 kWh /input heat

energy input = 6.1  kWh

Thus, the energy input is 6.1  kWh, therefore the correct answer is option C

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(a) As σ is increased, The minimum  angle will be "19.2°".

(b) The acceleration will be "0.91 m/s²"once the box has began to move.

(c) The speed will be "3 m/s" as the box slid a distance 4.7 m along the loading map.

According to the question,

Mass = 25.0 kg

Kinetic friction = 0.25

Coefficient of static friction = 0.35

(a) We know,

⇒ static friction = mg sine

⇒ mg cosine * u = mg sine

then,

tan A = u = 0.35

a = 19.2

Therefore, as α is increased,  the minimum angle at which the box starts to slip is 19.2°.

(b) We know that:

Kinetic friction = mgCos19.2 * 0.25

                        = 2.31m

and,

Net force downwards = mgSin19.2 -  mgCos19.2* 0.25

By substituting the values, we get

                                        = m(3.22-2.31)

                                        = 0.91m/s²

Therefore, As this angle, the acceleration once the box has begun to move at 0.91 m/s².

(c) since the box is sliding at a distance of 4.7 meter:

Thus,

The speed will be:

→ \(v^{2} - u^{2} + 2as\)

\(0 + 2* 0.91* 5\)

= 9.21

\(v = 3m/s\)

Therefore, at this angle, at 3m/s will the box be moving after it has slid a distance 4.7m along the loading ramp

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One piece of evidence that supported the heliocentric view and contradicted the geocentric view was the observation of the phases of Venus.

Galileo Galilei observed that Venus went through a complete set of phases, ranging from a thin crescent to a nearly full disk. This observation directly contradicted the geocentric model, which could not account for the varying phases of Venus.

In the geocentric model, all celestial bodies were believed to revolve around the Earth. According to this view, Venus should always appear as a thin crescent, similar to the Moon, because it would be seen from Earth on the same side of the Sun. However, Galileo's telescopic observations revealed a different reality. He observed that Venus exhibited a complete set of phases, just like the Moon. These phases included a thin crescent, a half phase, and a nearly full disk.

This observation strongly supported the heliocentric model proposed by Nicolaus Copernicus, where Venus orbits the Sun. In the heliocentric model, as Venus orbits around the Sun, its position relative to Earth changes, causing the observed phases to vary. Galileo's observation of the changing phases of Venus provided concrete evidence contradicting the geocentric view and lending support to the heliocentric model. This evidence played a pivotal role in the scientific revolution and the acceptance of the heliocentric model of the solar system.

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Answer:

Explanation:

For every action (or force), there is an equal and opposite action (or force).

Answer:

FALSE

Explanation:

Rotation is spinning on its axis

Revolution is spinning around the sun

Answer:

what are the statements?

Explanation:

Answer:

(a) 477 m

(b) 44.6 s

(c) 21.16 m

(d) 19.24 m

Explanation:

initial speed, u = 77km/h = 21.4 m/s

acceleration, a = - 0.48 m/s2

final speed v =  0  

(a) let the stopping distance is s.

Use third equation of motion

\(v^2 = u^2 + 2 a s\\\\0 = 21.4^2 - 2 \times 0.48\times s\\\\s = 477 m\)

(b) Let t is time.

Use first equation of motion

v = u + at

0 = 21.4 - 0.48 t

t = 44.6 s

(c) Let the distance is s in first second.

Use second equation of motion

\(s = u t + 0.5 at^2\\\\s = 21.4\times 1 - 0.5\times 0.48\times 1\\\\s = 21.4 - 0.24 = 21.16 m\)

(d) distance traveled in 5 th second is given by

\(s = u + 0.5 a (2 n - 1) \\\\s = 21.4 - 0.5\times 0.48 \times (2\times 5 -1)\\\\s= 21.4 - 2.16 = 19.24 m\)

Answer: B

Explanation: it is perpendicular to a surface

Answer:

it is perpendicular to a surface

Explanation:

The wheelbarrow is a second-class lever because the load (the weight being carried) is located between the fulcrum (the wheel) and the effort (the person pushing or lifting the handles).

In a second-class lever, the load is in the middle of the fulcrum and the effort, which allows for mechanical advantage in lifting heavy loads.

The fulcrum is the point around which the lever rotates. In the case of a wheelbarrow, the fulcrum is located at the wheel axle. It serves as the pivot point for the lever to move.

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Rutherford  conducted the experiment that showed that atoms were mostly made up of empty space.

Rutherford done an experiment in which he allowed alpha particle to bombard on gold foil . Which shows  that the atom is mostly empty space with a tiny, dense, positively-charged nucleus. Based on these results, Rutherford proposed the nuclear model of the atom.

The observations made by Rutherford led him to conclude that: A major fraction of the α-particles bombarded towards the gold sheet passed through the sheet without any deflection, and hence most of the space in an atom is empty.

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when the open organ pipe is cut in half, the new fundamental frequency is twice the original fundamental frequency.  

When an open organ pipe (a pipe open at both ends) of length L has a fundamental frequency f, the new fundamental frequency can be calculated when the organ pipe is cut in half. Let L be the original length of the organ pipe, then the new length is L/2. Since the fundamental frequency of the organ pipe is given by f, the speed of sound is v, and the length is L, then:f1 = v/2L. When the pipe is cut in half, the length changes to L/2, so the new fundamental frequency is given by:

f2 = v/2(L/2) = v/L.

The new fundamental frequency is thus given by: f2 = v/L.

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Explanation:

speed = distance covered/time taken

= 79/8 m/s

Answer:

Explanation:

The speed of an object given it's distance and time taken can be found by using the formula

\(v = \frac{d}{t} \\ \)

where

d is the distance

t is the time

From the question we have

\(v = \frac{79}{8} \\ = 9.875\)

We have the final answer as

Hope this helps you

Answer:

The correct option is B.

Tissue paper

Explanation:

Tissue paper absorb most sound waves because it is porous. Materials that absorb sound most are highly porous like tissue because that have pores and allow sound to penetrate through it channels or cavities which makes it to loss part or all of it energy. This material allow sound wave to enter through it.

Sound energy is distributed as a result of heat loss which is caused by the air molecules of the pores wall in the material.

Answer:

Option A: Earplugs is your answer.

Explanation:

Merry Christmas

Answer: D) zero loss of kinetic energy

Explanation:

(a) The efficiency of the PV panel can be calculated using the formula:Efficiency = (Power output / Power input) × 100Where,Power output = The power generated by the PV panel (300 W in this case)Power input = The solar insolation (1000 W/m2 in this case) × Area of the panel (2.0 m2 in this case)Efficiency = (300 / (1000 × 2)) × 100= 15%

(b) The total power generated by 10 pieces of 300 W PV panels is given as:Total power = Power of 1 panel × Number of panels= 300 × 10= 3000 WPeak sun hours in Wyoming = 3.2 hours Therefore, the total energy produced daily is given as:Energy produced = Total power × Peak sun hours= 3000 × 3.2= 9600 Wh or 9.6 kWh(c) The energy produced by the PV panel is given as:Energy produced = Power output × Time= 300 × 3.2 × 50/100= 48 kWh= 48,000 Wh= 48,000 / 3.6 × 106 kWh= 0.013 kWh or 13 Wh Weight of 1 gallon of water = 4.546 × 1 = 4.546 kg Mass of water = Volume × Density= 4.546 × 15 = 68.19 kg= 68.19 / 1 = 68.19 liters

Heat required to increase the temperature of 1 liter of water from 15°C to 55°C is given as:Heat = mass × specific heat capacity × temperature rise= 1 × 4.18 × (55 - 15)= 209.2 JHeat required to increase the temperature of 68.19 liters of water from 15°C to 55°C is given as:Heat = 68.19 × 209.2 J= 14,250 J or 0.01425 kWh Energy produced by the PV panel is 0.013 kWh Therefore, the number of gallons of water that can be heated up is given as:Number of gallons = Energy produced / Heat required= 0.013 / 0.01425= 0.91 gallons Therefore, the PV panel can supply to heat up 0.91 gallons of water from 15°C to 55°C.

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If an early frost destroys most of the apple crop, the equilibrium price of an apple is likely to increase.

An early frost that damages a significant portion of the apple crop would result in a decrease in the supply of apples. When the supply decreases, while demand remains constant or even increases, it creates a situation where the quantity demanded exceeds the quantity supplied. This imbalance in the market typically leads to an increase in the equilibrium price of apples.

With a reduced supply of apples, consumers would still desire to purchase them at the same or even higher quantities, especially if there are no close substitutes available. As a result, buyers may be willing to pay a higher price to secure the limited supply of apples. This increased demand coupled with the decreased supply causes the equilibrium price to rise.

Moreover, the extent of the increase in price will depend on the severity of the frost damage and the elasticity of demand. If the damage is severe and there are no alternative sources of apples, the price increase may be significant. However, if there are other regions or countries with unaffected apple crops that can fulfill the demand, the price increase may be relatively moderate.

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Answer: The area of brick in contact with the floor is 1539 \(cm^{3}\).

Explanation:

Given: Length = 19 cm

Width = 9 cm

Height = 9 cm

As the brick is rectangular in shape. Hence, its area will be calculated as follows.

\(Area = length \times width \times height\)

Substitute the values into above formula as follows.

\(Area = length \times width \times height\\= 19 cm \times 9 cm \times 9 cm\\= 1539 cm^{3}\)

Thus, we can conclude that area of brick in contact with the floor is 1539 \(cm^{3}\).

Answer:

injecting

Explanation:

Once the atomic number of an atom is known, the number of electrons can be deduced depending on if the atom is an ion or a neutral one.

The atomic number of an atom is the number of protons in the nucleus of the atom.

For atoms that are neutral, that is, no net charges, the number of protons is always equal to the number of electrons. In other words, the positive charges always balance the negative charges in neutral atoms.

Thus, if the atomic number of a neutral atom is 6, for example, the proton number will also be 6. Since the proton must balance the electron, the number of electrons will also be 6.

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