An airplane flies with a velocity of 55.0 m/s [ 35° N of W] with respect to the air (this is
known as air speed). If the velocity of the airplane according to an observer on the ground
is 40.0 m/s [53° N of W], what was the wind velocity?

The direction of the electric field at point P is to the left which is. The answer is\(qx-2ax\)

To determine the electric field at point P, we can use Coulomb's law, which states that the electric field at a point in space due to a point charge is given by:

\(E = k*q/r^2\)

where E is the electric field, k is Coulomb's constant, q is the charge of the point charge, and r is the distance between the point charge and the point where we want to find the electric field.

In this case, we have two point charges with charge +q and -q, separated by a distance 2a, as shown below:

      +q        -q

--------|--------|--------

  a     x        a

The midpoint between the two charges is at a distance a from each charge, so the distance from each charge to point P is given by:

\(r1 = sqrt(x^2 + a^2)r2 = sqrt(x^2 + a^2)\)

Using Coulomb's law, we can find the electric field due to each charge at point P:

\(E1 = kq/r1^2E2 = k(-q)/r2^2 = -k*q/r2^2\)

The electric field at point P due to the two charges is the vector sum of the electric fields due to each charge:

E = E1 + E2

The direction of the electric field at point P is determined by the signs of the charges. Since the positive charge is closer to point P, its electric field points towards the positive charge. The negative charge is farther away from point P, so its electric field points away from the negative charge. Therefore, the electric field at point P points to the left.

The magnitude of the electric field at point P is given by:

|E| = |E1 + E2| = |E1| + |E2|

Substituting the expressions for E1 and E2 and simplifying, we get:

\(|E| = kq(1/r1^2 - 1/r2^2)\)

Substituting the expressions for r1 and r2, we get:

\(|E| = kq(2*a^2 - x^2)/[(x^2 + a^2)^3/2]\)

Therefore, the direction of the electric field at point P is to the left and its magnitude is given by:

\(|E| = kq(2*a^2 - x^2)/[(x^2 + a^2)^3/2]\)

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the primary function of a wave is to carry energy

Answer:

In mathematics, an ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant.

I don’t know how ellipse change tho sorry

The function of sleep theory supported by the illustration is sleep conserves and protects.

From the first sentence, bats sleep a lot because they face little danger from predators and as such, they have a high-calorie diet of insects.

From the second sentence, cows sleep less, because they face more danger from predators and as such, they have a low-calorie diet of insects.

We can conclude that sleep helps to keep animal safe. Therefore, the correct option will be, "Sleep conserves and protects".

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Answer:

3000 kg*m/s

6000 kg*m/s

Explanation:

p = m*v

p = 150kg*20m/s

p = 3000 kg*m/s

p = 150kg*40m/s

p = 6000 kg*m/s

Answer:

I don't know of velocity but

acceleration: 6m/s

Explanation:

here

initial velocity(u):0m/s

final velocity(v):36m

time taken(t): 6s

now

a:v-u/t

or a: 36-0/6

a:6m/s#

The correct statements which describes current theories about dark energy and dark matter among the choices above are given below:

The answers are options a, b, and d.

Dark energy refers to that energy which acts against gravity, thereby resulting in the expansion of the universe. It's major constituent is current characterized with vacuum fluctuation. It is on this premise that dark energy was theorized to be causing the expansion of the universe to accelerate and itself including dark matter is filled in empty space.

So therefore, from the simple note above, it can be deduced that this type of energy does not produce electromagnetic radiation.

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Answer:

a b d

Explanation:

Which statements explain current theories about dark energy and dark matter? Check all that apply.

Space that appears empty actually contains dark energy and dark matter.

Dark matter does not emit electromagnetic radiation.

Scientists believe dark energy will cause the universe to collapse inward to a single point.

Scientists theorize that dark energy is causing the expansion of the universe to accelerate.

Dark matter includes all of the dust, ice, and debris that scientists observe in black holes.

Answer:

A

Explanation:

Hopefully this helps

The resulting equation of motion for the system is given by m × x''(t) + k × x(t) = f(t), which is 2 × x''(t) + 18 * x(t) = 2 * sin(2t).

What is  equation of motion?

The equations of motion are a set of mathematical relationships that describe the motion of objects under the influence of forces. There are different sets of equations of motion, depending on the specific scenario and the type of motion being considered (linear motion, projectile motion, circular motion, etc.). The equations of motion for linear motion, also known as the equations of uniformly accelerated motion.

To find the equation of motion for the system, we start with Newton's second law of motion, which states that the sum of forces acting on an object is equal to the mass of the object multiplied by its acceleration. In this case, the object is the 2-kg mass attached to the spring.

The force exerted by the spring is proportional to the displacement of the mass from its equilibrium position, and it can be expressed as F_spring = -k× x(t), where k is the spring constant and x(t) is the displacement of the mass at time t.

In addition to the force exerted by the spring, there is an external force f(t) = 2 ×sin(2t) acting on the mass.

Applying Newton's second law, we have the equation of motion: m ×x''(t) + k ×x(t) = f(t).

Substituting the given values, m = 2 kg and k = 18 N/m, we obtain 2 ×x''(t) + 18 × x(t) = 2 ×sin(2t).

Therefore, the resulting equation of motion for the system is 2 × x''(t) + 18 × x(t) = 2 × sin(2t).

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Drag racers are designed to provide high accelerations.

drag racing, form of motor by the  racing that originated in the United of  States and in which 2  contestants race from a particular standing starting side by side on a drag strip—a flat, straight courses, mostly commonly 1/4 mile (0.4 km) long.

In drag racing, acceleration is more importantly than the speed, and therefore drag by the  racers are designed by  the  provide Higher accelerations. Supposed a drag racer has a mass of 1250 kg and accelerates at the constant rate of 16.5 m/s².

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Answer:

At the topmost point where the velocity has only horizontal component whereas the acceleration is vertical.

Explanation:

There is only a horizontal component of velocity at the ap3x of the projectile, and acceleration is vertically downwards owing to gravitation, therefore velocity and acceleration are perpendicular to one another.

The Sun's surface emits as a black body its surface temperature is \($5.78 \times 10^3 \mathrm{~K}$\).

The sun's surface area is,

A 3D object's surface area is the entire area that all of its faces cover. If we need to figure out how much paint is needed to paint a cube, for example, we may use the cube's surface area. It is consistently expressed in square units.

\(A=4 \pi r^2\)

The sun's radius, r, is indicated here.

Substitute \($6.96 \times 10^8 \mathrm{~m}$\) for r.

\(A & =4 \pi\left(6.96 \times 10^8 \mathrm{~m}\right)^2 \\& =6.09 \times 10^{18} \mathrm{~m}^2\)

The radiated power is, according to Stefan's law

Energy that emanates from an origin and moves through space at the speed of light is referred to as radiation. This radiation has wave-like qualities and is accompanied by an electric field and a magnetic field.

\(P & =\sigma A e T^4 \\T^4 & =\frac{P}{\sigma A e} \\T & =\left(\frac{P}{\sigma A e}\right)^{\frac{1}{4}}\)

Substitute \($6.09 \times 10^{18} \mathrm{~m}^2$\) for A,

\(5.67 \times 10^{-8} \mathrm{~W} / \mathrm{m}^2. \mathrm{K}^4$\) .  for \($\sigma$\),

and \($3.85 \times 10^{26} \mathrm{~W}$\) for P.

\(T & =\left(\frac{3.85 \times 10^{26} \mathrm{~W}}{\left(5.67 \times 10^{-8} \mathrm{~W} / \mathrm{m}^2 \cdot \mathrm{K}^4\right)\left(6.09 \times 10^{18} \mathrm{~m}^2\right)(1)}\right)^{\frac{1}{4}} \\& =\left(1.12 \times 10^{15} \mathrm{~K}^4\right)^{\frac{1}{4}} \\& =5.78 \times 10^3 \mathrm{~K}\)

The temperature is \($5.78 \times 10^3 \mathrm{~K}$\).

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Note:- The correct question would be as follow,

The radius of our Sun is \($6.96 \times 10^8 \mathrm{~m}$\), and its total power output is \($3.85 \times 10^{26} \mathrm{~W}$\). (a) Assuming the Sun's surface emits as a black body, calculate its surface temperature.

Answer:

6.03 m/s

Explanation:

Average speed = total distance traveled/total time taken

7 = 450 + 100/total time

total time = 550/7 = 78.57 s

Speed of camel on the bicycle = distance/time

25 = 100/time

time = 100/25 = 4 s

Total time = 78.57 s

Time spent riding bicycle = 4 s

Time spent walking = total time - time spent riding bicycle

                                  = 78.57 - 4 = 74.57 s

Speed of walking = distance walked/time spent walking

                             = 450/74.57

                                 = 6.03 m/s

Answer:

10m/s

Explanation:

Data

mass=55kg, Maximum height (h1) =10m

Height reached when going down (h2)= 5m

final velocity (v)=?

At Maximum height the velocity is zero

hence intial velocity is 0m/s

The change in Potential energy = change in kinetic energy

mgh1-mgh2=1/2mv²-1/2mu²

But (u)= 0m/s

mgh2-mgh1=1/2mv²

mg(h1-h2)=1/2mv²

2g(h1-h2)=v²

v²=2(10m/s²)(10m-5m)

v²=100m²/s³

v=10m/s

The moon of Jupiter, Ganymede is the largest moon in the solar system. The mass of Jupiter when the orbital period and the distance from the centre of the orbit are given is calculated to be 1.57 × 10²⁷ kg.

The time required to complete one revolution in an orbit around the planet is known as the Orbital Time period of motion. The orbital distance's cube is directly proportional to the square of the time period.

Given that,

Orbital distance R = 1.07 × 10⁹ m

Time period T = 6.18 × 10⁵ s

We know the formula of time period as,

T² = 4 π² R³/ G M

where, M is the mass of Jupiter

G is the gravitational constant

(6.18 × 10⁵)² = 4 π² (1.07 × 10⁹)³/(6.67 × 10⁻¹¹) M

Making M as subject, we have,

M = 4 π² (1.07 × 10⁹)³/[ (6.67 × 10⁻¹¹) (6.18 × 10⁵)²] = 1.57 × 10²⁷ kg

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The vertical lines in a fold and thrust belt likely represent faults.

The vertical lines in a fold and thrust belt likely represent faults. Faults are breaks in the Earth's crust along which there has been displacement of the rock on either side of the break. The vertical lines in a fold and thrust belt are typically caused by compressional forces that squeeze the crust together.

This compressional force causes the rock to bend and fold, and eventually, the rock breaks along a fault plane. The vertical lines in a fold and thrust belt are typically parallel to the direction of the compressional force.

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Answer:

Goldilocks zone of habitability.

Explanation:

The speed at which the catcher slides on the ice after catching the 149 kg baseball moving at 17.7 m/s is 12.80 m/s.        it can be found using the conservation of momentum formula: MaVa + MbVb = (Ma + Mb)(Va+b).

In this case, Ma represents the mass of the baseball (149 kg)

Va represents the initial velocity of the baseball (17.7 m/s)

Mb represents the mass of the catcher (57 kg), and Vb represents the initial velocity of the catcher (0 m/s, as he is at rest).

We need to solve for Va+b, which represents the final velocity of the catcher after catching the baseball.

Plugging in the given values, we have:

(149 kg)(17.7 m/s) + (57 kg)(0 m/s) = (149 kg + 57 kg)(Va+b)

2637.3 kg·m/s = (206 kg)(Va+b)

To find the final velocity of the catcher (Va+b), we can now divide both sides by the total mass (206 kg):

Va+b = 2637.3 kg·m/s / 206 kg = 12.80 m/s

Therefore, the catcher slides on the ice with a speed of approximately 12.80 m/s after catching the baseball. Please remember to round your answer to 3 decimal places as required.

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Answer:

possible answer from edge

Explanation:

After World War II the only coal available to burn residentially, either for cooking or warmth, was of poor quality and contained large amounts of contaminants that made its fumes toxic. So when millions of homes in London burned this low quality coal and the local atmosphere over and around London stagnated, there was nowhere for the fumes to go. This stagnation allowed the toxic coal fumes to build up until they became physically harmful to humans and animals.

Burning of low quality coal was ultimately responsible for London’s “killer fog” in 1952.

This is a type of sedimentary rock which is combustible and contain high amounts of carbon and hydrocarbon.

The low quality coal contained a lot of contaminants which was released into the atmosphere thereby creating the “killer fog” which adversely affected residents.

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Answer:

More energy is transferred in situation A

Explanation:

Each of the situations are analyzed as follows;

Situation A

The temperature of the cup of hot chocolate = 40 °C

The temperature of the interior of the freezer in which the chocolate is placed = -20 °C

We note that at 0°C, the water in the chocolate freezes

The energy transferred by the chocolate to the freezer before freezing is given approximately as follows;

E₁ = m×c₁×ΔT₁

Where;

m = The mass of the chocolate

c₁ = The specific heat capacity of water = 4.184 kJ/(kg·K)

ΔT₁ = The change in temperature from 40 °C to 0°C

Therefore, we have;

E₁ = m×4.184×(40 - 0) = 167.360·m kJ

The heat the coffee gives to turn to ice is given as follows;

E₂ = m·\(H_f\)

Where;

\(H_f\) = The latent heat of fusion = 334 kJ/kg

∴ E₂ = m × 334 kJ/kg = 334·m kJ

The heat required to cool the frozen ice to -20 °C is given as follows;

E₃ = m·c₂·ΔT₂

Where;

c₂ = The specific heat capacity of ice = 2.108 kJ/(kg·K)

Therefore, we have;

E₃ = m × 2.108 ×(0 - (-20)) = 42.16

E₃ = 42.16·m kJ/(kg·K)

The total heat transferred = (167.360 + 334 + 42.16)·m kJ/(kg·K) = 543.52·m kJ/(kg·K)

Situation B

The temperature of the cup of hot chocolate = 90 °C

The temperature of the room in which the chocolate is placed = 25 °C

The heat transferred by the hot cup of coffee, E, is given as follows;

E = m×4.184×(90 - 25) = 271.96

∴ E = 271.96 kJ/(kg·K)

Therefore, the total heat transferred in situation A is approximately twice the heat transferred in situation B and is therefore more than the heat transferred in situation B

Energy transferred in situation A = 543.52 kJ/(kg·K)

Energy transferred in situation B = 271.96 kJ/(kg·K)

Energy transferred in situation A ≈ 2 × Energy transferred in situation B

∴ Energy transferred in situation A > Energy transferred in situation B.

Answer:

4 m/s^2

Explanation:

To get the acceleration you are going to use the acceleration formula which is

Acceleration= Force/Mass.

You then do the math which is 20/5, which equals 4

Therefore you get a value of 4. You may be asking what the units are. The units of acceleration are m/s^2 (meters per second squared)

So your final answer is 4 m/s^2

Answer:

Newton's first law of motion states that objects state of rest or uniform motion will stay unless acted upon by an external force

Explanation:

Newton's first law of motion is also called the Law of Inertia. Because, it describes the property of inertia of the body. Newton's First Law states that every object continues its state of rest or uniform motion, until or unless it is acted upon by an external force. It means that if an object is in state of rest, it will remain at rest until or unless an external force is not applied to it. Same goes for the state of uniform motion. Hence, the answer will be:

Newton's first law of motion states that objects state of rest or uniform motion will stay unless acted upon by an external force

Answer: Newton's first law of motion states that objects at rest or in motion will stay unless acted upon by a net external force.

Explanation:

Motion is typically described in terms of velocity, acceleration, displacement and time. An object's velocity cannot change unless it is acted upon by a force, as described by Newton's first law also known as inertia. More generally, the term motion signifies any spatial and or temporal change in a physical system.

Many scientists have studied motion and it's properties because of its importance to life. The Italian, Galileo Galile, who lived from 1564 to 1642, did the first systematic study of motion. Also Sir Issac Newton did more detailed work on the study of motion. In his works in motion he came about three different laws.

- Newton's first law: This states that objects at rest or in motion will stay unless acted upon by a net external force.

-- Newton's second law: This states that the force on an object is equal to its mass times its acceleration.

- Newton's third law: This states that for every action there is an equal and opposite reaction.

Answer:

Ferrari would stop first.

Explanation:

The momentum of a moving body is given as:

momentum, P = mass of the body x its velocity

i. For the Freight,

mass = 5000 tons = 4535924 kg

speed = 10 mph  = 4.4704 m/s

P = mv

  = 4535924 x 4.4704

  = 20.28 x \(10^{6}\)

P = 20.28 x \(10^{6}\) kgm/s

ii. For the Ferrari,

mass = 3250 lb = 1474.175 kg

speed = 250 mph = 111.76 m/s

P = mv

   = 1474.175 x 111.76

   = 16.48 x \(10^{4}\)

P = 16.48 x \(10^{4}\) kgm/s

Comparing the momentum of the two objects, the Ferrari would stop fist when break is applied.

Permissive parenting is characterized by low expectations and high responsiveness. Permissive parenting characteristic that lends itself to wanting to be more of a friend than a parent.

Permissive parenting is characterized by low expectations and high responsiveness. Permissive parents are usually very caring, but they don't have a lot of restrictions or boundaries.

Permissive parents are exceedingly loose and rarely develop or enforce any form of rules or structure, instead of handing over their children's every move.

Hence Permissive parenting characteristic lends itself to wanting to be more of a friend than a parent.

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Answer:

Explanation:

Permissive parenting is characterized by low expectations and high responsiveness. Permissive parenting characteristic that lends itself to wanting to be more of a friend than a parent.

What is permissive parenting?

Permissive parenting is characterized by low expectations and high responsiveness. Permissive parents are usually very caring, but they don't have a lot of restrictions or boundaries.

Permissive parents are exceedingly loose and rarely develop or enforce any form of rules or structure, instead of handing over their children's every move.

Hence Permissive parenting characteristic lends itself to wanting to be more of a friend than a parent.

Pluto differs significantly from the eight solar system planets in that it has a highly eccentric and inclined orbit.

Pluto stands out from the eight planets in the solar system due to its unique orbital characteristics.

Unlike the relatively circular and aligned orbits of the other planets, Pluto's orbit is highly eccentric, meaning it is elongated and deviates from a perfect circle.

Additionally, Pluto's orbit is significantly inclined with respect to the plane of the solar system.

These distinctive orbital features set Pluto apart and contribute to its classification as a dwarf planet rather than a traditional planet.

We learnt about the properties and characteristics of Pluto, including its eccentric and inclined orbit, and the reclassification of Pluto from a planet to a dwarf planet.

Exploring the history of Pluto's classification and the discoveries that led to a better understanding of our solar system will provide further insights into this topic.

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If the proper voltage is supplied ,the possible causes could be a defective heater or an open limit switch. The correct options are C) the heater is defective or D) the limit switch is open.

When an electric heating element does not get hot despite the proper voltage being supplied, there are a few potential reasons for this issue. Firstly, the heater itself may be defective.

There could be a problem with the heating element, such as a broken or burnt-out filament, a faulty connection, or internal damage. If the heater is defective, it will not generate heat even when the correct voltage is applied.

Alternatively, the limit switch may be open. A limit switch is a safety device designed to shut off power to the heating element if certain conditions, such as excessive temperature or pressure, are detected. If the limit switch is open, it disrupts the circuit and prevents the heating element from receiving power, resulting in no heat production.

It is important to note that the circuit breaker being reset or the fusible link melting would not directly cause the heating element to not get hot. The circuit breaker is a protective device that trips to interrupt the flow of electricity when there is an overload or a short circuit.

Resetting the circuit breaker may be necessary if it has tripped, but it is not the primary cause of the heating element not heating. Similarly, a fusible link melting is typically associated with protecting the circuit from excessive current flow, but it does not directly impact the heating element's functionality.

In summary, if the proper voltage is supplied to an electric heating element and it does not get hot, the likely causes are a defective heater or an open limit switch.

The heater may have internal issues preventing it from generating heat, while the limit switch being open interrupts the power supply to the heating element. Therefore, the correct options are C) the heater is defective or D) the limit switch is open.

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Answer:

Jo

Explanation:

irradiating food doesn't make it radioactive (that's contamination) and beta particles are stopped by aluminium foil or thin metals, so it may not pass through thick packaging (usually gamma is used to irradiate foods as it can pass through the packaging)

The intensity level of sound 2 is 63.386 W/m².

Intensity of sound 1 = 40.0 W/m²

Intensity of sound 2 = 2.0 dB

We know that I₁ = 10⁻¹² W/m²

Intensity level of sound 2 =

= Using the equation of the sound level intensity

= Iₓ = 10log (I/I₁)

= Iₓ = 10 log(40/ 10⁻¹²)

= Iₓ = 136.02 dB

Given that intensity of sound 2 is greater than sound 1 by 2.0 dB

Thus,

= Iₙ = 136.02 + 2.0

=  Iₙ = 138.02 dB

To calculate intensity of sound 2 =

= I₂ = 10log(Iₙ / 10⁻¹²)

= I₂ = 63.386 W/m²

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The image characteristics for the given convex lens setup are option (a) upright, virtual, and smaller.

When an object is placed in front of a convex lens, the lens bends the incoming light rays toward each other, causing them to converge at a point on the opposite side of the lens. This point is called the focal point. In this case, the object is located at a distance of 5 cm, which is less than the focal length of the lens.

Therefore, the image formed by the lens is virtual and upright, which means that the light rays do not actually converge to a point, but rather appear to diverge from a point behind the lens. Also, since the object is located at a distance less than the focal length, the image is smaller than the object. Hence, the image characteristics for this setup are upright, virtual, and smaller, which corresponds to option (a).

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