what is the power factor for a series ac circuit containing a 50-ω resistor, a 10-μf capacitor, and a 0.45-h inductor, when connected to a 60-hz power supply?

a)

The initial speed, u = 0 m/s (The boat starts from rest)

Th final speed, v = 7 m/s

The time, t = 15 s

To find the average acceleration, use the equation below

The acceleration of the boat is in the direction of the motion

b) If the boat continues with the same acceleration for another 6 seconds:

Total time, t = 6 + 15 = 21 s

Speed = Acceration x time

Speed = 0.47 x 21

Speed = 9.87 m/s

Answer: 30

Explanation:

Answer:

Explanation:

While pure science deals with knowledge discovery Applied science deals with knowledge use

Answer:

Sedimentary rocks.

Explanation:

A rock cycle can be defined as a concept used to describe the continuous process that leads to a rock's creation, formation, transformation from one form to another, destruction and reformation over a specific period of time. The natural phenomenons that influences the rock cycle are weathering, plate tectonic activity, erosion, etc.

A fossil can be defined as the mineral impression or remains of living organisms such as plants and animals that are prehistoric in nature.

Basically, the three (3) main types of rocks are; igneous rock, sedimentary rock and metamorphic rock.

Sediments come from living organisms such as plants to form organic sedimentary rocks and they are usually formed at pressure and temperature that doesn't destroy the fossils contained therein. Organic sedimentary rocks includes chalk, fossiliferous, coal, diatomite, etc. Also, some examples of inorganic land-derived sedimentary rocks are conglomerate, brescia and sandstone.

Hence, an organic sedimentary rock is a type of rock that contains or comprises of fossils.

Answer:

Hewo there! I Will Be Very Happy to Help you! :)

⇒ A. Pure substances can be divided into two groups: elements and compounds.

Explanation:

Pure substances can be recognized because they have a definite constant composition, as can be seen in the formula, and distinct chemical properties.

And I took the the quiz and got it  right! :)

I hope this helps you! <3

-Rain-

When you change the thickness of the wire in a circuit, option B. the resistance (R) and current (I) will also change, but the voltage (V) will remain constant.

The resistance of a wire is directly proportional to its length and inversely proportional to its cross-sectional area (thickness). As the thickness of the wire changes, the cross-sectional area changes, which in turn affects the resistance. Thicker wires have a larger cross-sectional area, resulting in lower resistance, while thinner wires have a smaller cross-sectional area, resulting in higher resistance. Therefore, changing the thickness of the wire will cause a change in resistance.

According to Ohm's Law (V = IR), the voltage (V) in a circuit is equal to the product of the current (I) and the resistance (R). If the voltage is kept constant, and the resistance changes due to the thickness of the wire, the current will also change to maintain the relationship defined by Ohm's Law. When the resistance increases, the current decreases, and vice versa.

However, it's important to note that changing the thickness of the wire will not directly affect the voltage. The voltage in a circuit is determined by the power source or the potential difference applied across the circuit and is independent of the wire thickness. As long as the voltage source remains constant, the voltage across the circuit will remain constant regardless of the wire thickness. Therefore, the correct answer is option B.

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Answer:

Explanation:

2) From F=ma

Force =15×40=600N or kgm/s2

3)From the same equation making acceleration the subject of the formula will give

a=f÷m

=24÷4=6m/s2

4)m=f÷a

=45÷15=3kg

Answer: \(219.65\ \text{km}\)

Explanation:

Given

Car drives 215 km east and then 45 km North

Displacement is East direction is

\(\Rightarrow \vec{r_1}=215\hat{i}\)

Now, the displacement from that to 45 km North is given by

\(\Rightarrow \vec{r_{21}}=45\hat{j}\)

Net displacement is \(\vec{r_2}\)

\(\Rightarrow \vec{r_2}=\vec{r_1}+\vec{r_{21}}\\\Rightarrow \vec{r_2}=215\hat{i}+45\hat{j}\)

Magnitude of the displacement is

 \(\Rightarrow \left | r_{2} \right |=\sqrt{\left ( 215 \right )^2+\left ( 45 \right )^2}\\\Rightarrow \left | r_{2} \right |=\sqrt{48250}\\\Rightarrow \left | r_{2} \right |=219.65\ \text{km}\)

It is best if you have trained with a qualified instructor, practiced proper techniques, and make sure that the coals have cooled down to a safe temperature before walking on them.

When you walk barefoot on red-hot wooden coals, it is best if:

You walk quickly and with purpose.

You distribute your weight evenly and avoid putting excessive pressure on any particular area of your foot.

You maintain a confident and steady pace to minimize the amount of time your feet spend in contact with the hot coals.

You keep your feet relaxed and avoid tensing up, as tension can increase discomfort and the risk of injury.

You ensure the coals are evenly spread and there are no sharp or dangerous objects hidden within them.

You have prepared your mind and body for the experience by receiving proper instruction and guidance from a trained professional who is familiar with fire walking techniques.

You stay focused on your goal and maintain a positive mindset.

It is important to note that firewalking can be a potentially dangerous activity, and proper precautions should be taken. It is always recommended to seek guidance from trained professionals and follow established safety protocols when attempting fire walking or any similar activities.

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Answer:

1st: Radiation

2nd: Conduction

3rd: Convection

Explanation:

I actually learned this before in school. Yay

A truck is traveling at speed of 15 m/s on a slippery road. It will travel a distance of 57.4 meters before finally stop.

Using the Newton's 2nd law of motion:

Fs = m . a

Where:

Fs = friction force

m = mass of the truck

a = acceleration

Fs = μ . N

    = μ . mg

Where:

μ = coefficient of kinetic friction the tires and the road = 0.2

N = normal force = m . g

Hence,

μ . mg = m . a

a = μ . g

  = 0.2 x 9.8 = 1.96 m/s²

Using the equation of motion for a decelerated motion:

v² = u² - 2as

Where:

v = final speed = 0 (since the truck finally stop)

u = initial speed

s = distance

Hence,

0 = 15² - 2 x 1.96 x s

s = 225 / 3.92 = 57.4

Hence, the truck will travel a distance of 57.4 meters before finally stop.

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The velocity with which the electrons drift in the silver wire is approximately 1.58 x 10^-4 m/s.

To find the velocity with which electrons drift in a silver wire, we can use the formula:

I = nAvq

where:

I is the current (in amperes),

n is the number of free electrons per unit volume (in m^3),

A is the cross-sectional area of the wire (in m^2),

v is the drift velocity of electrons (in m/s), and

q is the charge of an electron (approximately 1.6 x 10^-19 C).

Given:

I = 5.0 A (current)

n = 5.8 x 10^28 m^-3 (number of free electrons per m^3)

A = πr^2 = π(0.002 m)^2 (cross-sectional area)

q = 1.6 x 10^-19 C (charge of an electron)

First, we calculate the cross-sectional area of the wire:

A = π(0.002 m)^2 = 1.2566 x 10^-5 m^2

Next, we rearrange the formula and solve for v:

v = I / (nAq)

v = 5.0 A / (5.8 x 10^28 m^-3 * 1.2566 x 10^-5 m^2 * 1.6 x 10^-19 C)

v ≈ 1.58 x 10^-4 m/s

Therefore, the velocity with which the electrons drift in the silver wire is approximately 1.58 x 10^-4 m/s.

The drift velocity represents the average velocity at which the electrons move in the wire under the influence of an electric field. It is relatively small due to frequent collisions with lattice ions and other electrons within the wire.

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Answer:

2 sec

Explanation:

time taken = \(\frac{v-u}{a} = \frac{12-7}{2.5} = 2\)

The change in the momentum of the object moving along a straight line is determined as 3 Ns.

The change in the momentum of the object is equal to impulse received by the object.

The impulse received by the object is determined from the product of force and time of action.

J = Ft

Ft() = kt + τ

at time 0 s

Ft(0) = 1(0) + 1

Ft(0) = 1 Ns

at time , t = 3 s

Ft(3) = 1(3) + 1

Ft(3) = 4 Ns

Change in momentum from 0 s to 3 s, =  4 Ns - 1 s = 3 Ns

Thus, the change in the momentum of the object moving along a straight line is determined as 3 Ns.

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Answer:

Conduction

Explanation:

When one object touches another heat moves through it (think of a saucepan on a hot stove). Aluminium foil is a great conductor of heat, which means it is a poor insulator when it is in direct contact with something hot.

All components of the velocity vector are zero for t = 0, the particle is at rest for t = 0.

For what values of t is the particle at rest?

The position of a particle moving in the xy-plane is given by the parametric equations r = (3t) and v = (2t, 3t², 12t). To find for what values of t the particle is at rest, we need to find when the velocity vector (v) is equal to zero.

The velocity vector v is given by (2t, 3t², 12t). For the particle to be at rest, all components of the velocity vector must be equal to zero.

1. For the x-component (2t) to be zero: 2t = 0. Solving for t, we get t = 0.

2. For the y-component (3t²) to be zero: 3t² = 0. Solving for t, we get t = 0.

3. For the z-component (12t) to be zero: 12t = 0. Solving for t, we get t = 0.

Since all components of the velocity vector are zero for t = 0, the particle is at rest for t = 0.

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Mars cannot hold on to a molecular hydrogen atmosphere but can hold on to a molecular oxygen atmosphere.

A planet will typically retain a gas in its atmosphere only if the escape speed is at least 6 times larger than the peak thermal speed of the gas.

Mars has an escape speed of about 5 km/s.

Molecular hydrogen has a higher peak thermal speed compared to molecular oxygen, which makes it more likely to escape Mars' gravitational pull.

On the other hand, molecular oxygen has a lower peak thermal speed, allowing Mars to retain it in its atmosphere.

Summary: Mars is unable to retain a molecular hydrogen atmosphere due to its high peak thermal speed, while it can hold on to a molecular oxygen atmosphere.

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Answer:

The electron gives up It's extra energy in a form called "photon light" and falls back down to its normal energy level

Explanation:

Assuming C1 and C2 are in series, C3 and C4 are in series, and C5 and C6 are in parallel, the total capacitance is 16.29 µF, calculated by adding the capacitances of the parallel combination and the series combinations.

To find the total capacitance of the combination of capacitors, we first need to identify the series and parallel connections.
Let's assume C1 and C2 are connected in series (Cs1), C3 and C4 are connected in series (Cs2), and C5 and C6 are connected in parallel (Cp). The total capacitance (Ct) can be found by connecting Cs1, Cs2, and Cp in parallel.
For capacitors in series, the formula is:
\(1/Cs = 1/C1 + 1/C2\)
For capacitors in parallel, the formula is:
Cp = C3 + C4
Now let's calculate the values:
\(1/Cs1 = 1/4.1 + 1/3.1\)
\(Cs1 = 1.7514 µF\)
\(1/Cs2 = 1/7.1 + 1/1.1\)
\(Cs2 = 0.9864 µF\)
Cp = 0.55 + 13
\(Cp = 13.55 µF\)
Finally, connect Cs1, Cs2, and Cp in parallel:
\(Ct = Cs1 + Cs2 + Cp\)
Ct = 1.7514 + 0.9864 + 13.55
\(Ct = 16.2878 µF\)
The total capacitance of the combination of capacitors is approximate \(16.29 µF\).

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A wave with a frequency of 14 Hz and a wavelength of 3 meters is an example of a mechanical wave. This means that the wave requires a medium to travel through, such as air or water.

A wave with a frequency of 14 Hz and a wavelength of 3 meters is an example of a mechanical wave. This means that the wave requires a medium to travel through, such as air or water. The frequency of the wave refers to the number of complete cycles the wave makes in one second. In this case, the wave completes 14 cycles in one second. The wavelength of a wave refers to the distance between two corresponding points on the wave, such as two crests or two troughs. In this case, the distance between two crests or two troughs is 3 meters. The speed of the wave can be calculated by multiplying the frequency by the wavelength. Therefore, the speed of this wave can be calculated by multiplying 14 Hz by 3 meters, which gives a value of 42 meters per second. Understanding the frequency and wavelength of a wave is important in various fields, such as physics, engineering, and telecommunications. For example, in telecommunications, understanding the frequency and wavelength of electromagnetic waves is crucial for designing and optimizing wireless communication networks. In conclusion, a wave with a frequency of 14 Hz and a wavelength of 3 meters is a mechanical wave that requires a medium to travel through. The speed of the wave can be calculated by multiplying the frequency by the wavelength.

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Ohm's law states that the current flowing through a conductor is directly proportional to the voltage applied across it, and inversely proportional to its resistance. This can be expressed mathematically as I = V/R, where I is the current, V is the voltage, and R is the resistance.

In practical terms, this means that if the voltage applied across a circuit remains constant, increasing the resistance will result in a decrease in current flow. Conversely, if the resistance remains constant, increasing the voltage will result in an increase in current flow.
It's important to note that Ohm's law only applies to materials that exhibit a linear relationship between current and voltage, known as Ohmic materials. Non-Ohmic materials, such as diodes and transistors, do not follow this relationship and require more complex equations to describe their behavior.
In summary, Ohm's law provides a fundamental understanding of the relationship between current, voltage, and resistance in electrical circuits and allows engineers and technicians to design and troubleshoot electrical systems.

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Explanation:

Given that,

Force with which a child hits a ball is 350 N

Time of contact is 0.12 s

We need to find the impulse received by the ball. The impulse delivered is given by :

\(J=F\times t\\\\J=350\times 0.12\\\\J=42\ N-m\)

So, the impulse is 42 N-m..

We know that he change in momentum is also equal to the impulse delivered.

So, impulse = 42 N-m and change in momentum =42 N-m.

Transformation of Energy

Voltage represents the energy per charge, while current is the flow of charge over time. These properties highlight the fundamental differences between these two important electrical concepts.

Some properties of voltage and current can be described as follows:

1. A voltage is an energy divided by a charge: Voltage, also known as electric potential difference, represents the amount of energy needed to move a unit charge between two points.

Mathematically, voltage (V) is equal to energy (E) divided by charge (Q), or V = E/Q.

2. A current is a charge divided by a time: Electric current is the flow of electric charge in a circuit or conductor. It is calculated by dividing the amount of charge (Q) that flows through a point in a specific time interval (t).

The formula for current (I) is I = Q/t.

3. A voltage is a force times a charge: Voltage can also be expressed as the product of the electric force (F) acting on a charge and the charge (Q) itself, or V = F x Q.

This relationship demonstrates how voltage is linked to the electric force acting on charged particles.

4. A current is an electric field per second: While this description is not entirely accurate, it emphasizes the relationship between electric current and electric field.

The movement of charges in an electric field produces a current, and the electric field influences the speed and direction of these charges.

In summary, voltage represents the energy per charge, while current is the flow of charge over time. These properties highlight the fundamental differences between these two important electrical concepts.

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Answer:yeah its true

Answer:

three

Explanation:

It just is

Answer:

6 i think

Explanation: