A boat's initial velocity is 30 m/s. After 2.5 seconds, its velocity
is 5 m/s. What is the boat's rate of acceleration?
a -10 m/s
b 27 m/s
C 5 m/s2
d 20 m/s4

The magnitude of the induced voltage depends on the time rate of change of the magnetic flux. If one wants to increase or reduce the induced voltage, they can either increase or decrease the rate of change of the magnetic flux.

According to Faraday's law of electromagnetic induction, the magnitude of the induced voltage in a coil is directly proportional to the rate of change of the magnetic flux passing through the coil. The magnetic flux is a measure of the total magnetic field passing through a given area.

When there is a change in the magnetic field strength or the orientation of the magnetic field relative to the coil, the magnetic flux through the coil changes. This change in magnetic flux induces an electromotive force (EMF) or voltage in the coil.

To increase the induced voltage, one can either increase the rate of change of the magnetic flux or increase the number of turns in the coil. This can be achieved by moving the coil in a stronger magnetic field or by increasing the speed of the magnetic field's change.

Conversely, to reduce the induced voltage, one can either decrease the rate of change of the magnetic flux or decrease the number of turns in the coil. This can be achieved by reducing the speed of the magnetic field's change or by shielding the coil from the magnetic field.

In summary, the magnitude of the induced voltage is directly proportional to the rate of change of the magnetic flux. To increase or reduce the induced voltage, one can adjust the rate of change of the magnetic flux by manipulating the magnetic field strength, the speed of change, or the coil configuration.

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The information given on the X-axis of the graph attached is the years from 1920-2005 (option B).

A graph in mathematics or statistics is a data chart (graphical representation of data) intended to illustrate the relationship between a set (or sets) of numbers (quantities, measurements or indicative numbers) and a reference set.

A graph consists of two axes namely; X-axis and Y-axis. The x-axis on a graph is usually drawn left to right and usually shows the range of values of an independent variable.

On the other hand, the Y-axis is the axis on a graph that is usually drawn from bottom to top and usually shows the range of values of variable dependent on one other variable.

Therefore, according to the graph illustrated above, the x-axis shows the years from 1920-2005.

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Answer:

Its lack of mass production

Explanation:

Your Welcome;)

The limitation of using cellulose is its lack of mass production.

Cellulose is a polymer of glucose. It is obtained from glucose by condensation polymerization to yield a long chain.

Cellulose materials have a high potential of being quite useful as important materials for diverse applications.

However, the problem with cellulose materials is that they can not really be mass produced. This limitation has long encumbered the possibility of using cellulose materials for various applications in material science.

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The electric field strength at a distance of 1.20 m on the x-axis is -1.5 × 10⁴ N/C.

To find the electric field strength at a distance 1.20 m on the x-axis, we can use Coulomb's law:

\($$F=k\frac{q_1q_2}{r^2}$$\)

where F is the force between two charges, q1 and q2 are the magnitudes of the charges, r is the distance between the charges, and k is the Coulomb constant.For a single point charge q located at the origin of the x-axis, the electric field E at a distance r is given by:

\($$E=\frac{kq}{r^2}$$\)  where k is the Coulomb constant.

So, let's calculate the electric field due to each charge separately and then add them up:

For the +2.0 C charge at x = 0, the electric field at a distance of 1.20 m is:\($$E_1=\frac{kq_1}{r^2}=\frac{(9\times10^9)(2.0)}{(1.2)^2}N/C$$\)

For the -3.0 C charge at x = 0.40 m, the electric field at a distance of 1.20 m is:

\($$E_2=\frac{kq_2}{r^2}\)

\(=\frac{(9\times10^9)(-3.0)}{(1.20-0.40)^2}N/C$$\)

The negative sign indicates that the direction of the electric field is opposite to that of the positive charge at x = 0.

To find the net electric field, we add the two electric fields\(:$$E_{net}=E_1+E_2$$\)

Substituting the values of E1 and E2:

\($$E_{net}=\frac{(9\times10^9)(2.0)}{(1.2)^2}-\frac{(9\times10^9)(3.0)}{(0.8)^2}N/C$$E\)

net comes out to be -1.5×10⁴ N/C.

Therefore, the electric field strength at a distance of 1.20 m on the x-axis is -1.5 × 10⁴ N/C.

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Answer:

5.625km/h

Explanation:

We are given that

Distance between home and market, d=2.5 km

Speed, v1=5km/h

Speed, v2=7.5 km/h

We have to find the average speed of the man over the interval of time 0 to 40min.

Time,\(t=\frac{distance}{speed}\)

Using the formula

\(t_1=\frac{2.5}{5}=0.5 h=0.5\times 60=30 min\)

1 hour =60 min

\(t_2=\frac{2.5}{7.5}=\frac{1}{3}hour=\frac{60}{3}=20min\)

Distance traveled by man in 10 min with speed 7.5 km/h=\(\frac{2.5}{20}\times 10=2.5/2km\)

Therefore,

Total distance covered=2.5+2.5/2=3.75 km

Time=40 min=40/60=2/3 hour

Average speed=\(\frac{total\;distance}{total\;time}\)

Average speed=\(\frac{3.75}{2/3}=5.625km/h\)

Answer:

Energy is stored in the bonds between atoms

Answer:

Energy is stored in the bonds between atoms

Explanation:

Ape-x

In this given circuit, there are two resistors, R2 and R3 connected in series with a battery of 12 V as shown below;\(\Delta V = V = 12 V\)Let us first find the total resistance of the circuit.

Using the formula, resistances in series add up to give the total resistance of the circuit\(R_T = R_2 + R_3 = 8\ \Omega + 12\ \Omega = 20\ \Omega\)

Using Ohm's Law; the current through the circuit can be calculated as follows;

\(I_T = \frac{V}{R_T} = \frac{12\ V}{20\ \Omega} = 0.6\ A\)

Thus, the current through each of the resistors, R2 and R3 is the same and it is equal to the total current of the circuit;\(I_1 = I_2 = 0.6\ A\)

The potential difference across each of the two resistors, R2 and R3 is different because of the difference in resistance. Using Ohm's Law, the potential difference across each resistor can be calculated as follows;

\(\Delta V_2 = V_{R_2} = I_2 \cdot R_2 = 0.6\ A \cdot 8\ \Omega = 4.8\ V\)

\(\Delta V_3 = V_{R_3} = I_2 \cdot R_3 = 0.6\ A \cdot 12\ \Omega = 7.2\ V\)

Thus, the potential difference across resistor R2 is 4.8 V and across resistor R3 is 7.2 V.

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A fluctuating needle could indicate a variety of issues, including mechanical or electrical problems with the gauge, an issue with the system being measured, or environmental variables affecting the measurement. When a needle is fluctuating, it can be difficult to determine the correct reading. If the needle on the pressure gauge(GP) is fluctuating, read and record the valve located in the center between the high and low extremes.

A pressure gauge is a device that determines and measures the pressure(P) of a gas or liquid in a closed container. A pressure gauge measures pressure by means of a bourdon tube(BT), which is a mechanical system. When pressure is put on it, it deforms. This deformation is calculated by a system of gears and springs and displayed on a dial.

The following are some of the most common types of pressure gauges: Manometer(Mr) is a kind of pressure gauge that works by comparing the pressure of a liquid in a U-shaped tube to the pressure of the gas being measured, which compresses the liquid. Piezometer(Pr) is a form of pressure gauge that works by measuring the weight of the liquid in a container, which is proportional to the pressure being measured. Bourdon Tube: The most common type of pressure gauge is the bourdon tube. It works by comparing the pressure of a gas or liquid in a chamber to a spring inside a tube. Wheel Gauge is a kind of pressure gauge that works by converting pressure into a rotary motion. This rotary motion is measured by a series of gears, which then display the pressure.

What is a fluctuating needle?

A fluctuating needle(FN) is a needle that is not steady on a gauge or instrument.

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Answer:

86605.08 N

Explanation:

The equation to calculate the force is:

Force = mass * acceleration

The force and the acceleration does not have the same direction in this case, so we need to decompose the force into its horizontal component, which is the force that will generate the horizontal acceleration:

Force_x = Force * cos(30)

Then, we have that:

Force_x = mass * acceleration

Force * cos(30) = 25000 * 3

Force * 0.866 = 75000

Force = 75000 / 0.866 = 86605.08 N

The deposit would contain approximately 4.10 × 10\(^ 32\) kg of iron.

(a) The magnetic moment of an atom is given by the Bohr magneton, μB:

μB = eh/4πm

where e is the electron charge, h is Planck's constant, and m is the mass of the electron.

The magnetic moment of an atom with unpaired electrons is the sum of the magnetic moments of the unpaired electrons. For iron, the number of unpaired electrons can be determined from its electron configuration, which is [Ar]\(3d^6 4s^2\). This means that there are four unpaired electrons per iron atom, since the 3d subshell has a maximum of ten electrons and the 4s subshell has two.

Thus, the number of unpaired electrons that would participate in the magnetization of the iron deposit is:

number of unpaired electrons = (number of iron atoms/m3) x (4 unpaired electrons/iron atom)

=\(8.50 × 10^28 x 4\\= 3.40 × 10^29 unpaired electrons\)

(b) The mass of iron per unit volume of the deposit can be calculated using the density of iron and Avogadro's number:

= (\(4.75 × 10^27 kg/m^3) x [(8.00 × 10^22 A · m^2)/(9.27 × 10^-24 A · m^2/\)magnetic moment of one iron atom)]

= 4.10 × \(10^32\) kg

Therefore, the deposit would contain approximately 4.10 × 10\(10^32\) kg of iron.

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The thermodynamic process happens very quickly in the Adiabatic process. Thus, option B is correct.

The thermodynamic process is the process that defines the movement of the heat flow in the system. Thermodynamics gives the relationship between heat, work, energy, and temperature. It also gives the relation between pressure, volume, and temperature.

In the isobaric process, the pressure remains constant in the system and the volume of the system changes. In the isothermal process, the temperature of the system remains constant. In the isovolumetric process, the volume remains constant, and pressure and temperature will change.

In the adiabatic process, there is no flow of heat energy between the system. This tends the thermodynamic process to proceed faster than the other.

Thus, the ideal solution is option B.

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Answer:

mulitipy the numbers and u will get the answer!!

The distance between the two masses of 10764 kg and 12008 kg, with a force of attraction of 0.00006 N cating on them is  36.99 m.

Distance can be defined as the length between two points.

To calculate the distance between the masses, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values intoe quation 1

Hence, the distance between the masses is 36.99 m.

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According to the type of radiation, this classification is made in ascending order of wavelength. Typically, electromagnetic radiation is divided into radio wave, microwave, infrared, visible light, ultraviolet, X-rays, and gamma rays categories based on its wavelength.

The electromagnetic spectrum's bands blend into one another rather than having clearly defined boundaries, like the bands of a rainbow (which is the sub-spectrum of visible light).

When electromagnetic waves travel through a medium containing substance, their wavelength is shrunk.

Although it is not often explicitly stated, electromagnetic radiation wavelengths are typically expressed in terms of the vacuum wavelength, regardless of the medium they are moving through.

The wavelength of electromagnetic radiation affects how it behaves. The behavior of electromagnetic radiation (EM radiation) in its interactions with single atoms and molecules also depends on the energy per quantum (photon) that it contains.

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Answer:

Insertion

Explanation:

It causes a frameshift.

Answer: You have the right answer xD

Its AC/DC

According to the given statement , the work done to stretch the spring by 0.04 m is 16 joules (J).

To calculate the work done in stretching a spring, you can use the formula:

Work = (1/2) * k * (x²)

where:
- Work is the amount of work done in stretching the spring (in joules)
- k is the force constant of the spring (in newtons per meter, N/m)
- x is the displacement or stretch of the spring from its equilibrium position (in meters)

In this case, the force constant (k) is given as 2.0 × 10⁴ N/m and the displacement (x) is given as 0.04 m.

To find the work done, substitute these values into the formula:

Work = (1/2) * (2.0 × 10⁴ N/m) * (0.04 m)²

First, calculate (0.04 m)² = 0.0016 m²

Work = (1/2) * (2.0 × 10⁴ N/m) * 0.0016 m²

Next, multiply (2.0 × 10⁴ N/m) by 0.0016 m²:

Work = (1/2) * 32 N * m

Finally, calculate (1/2) * 32 N * m:

Work = 16 N * m

Therefore, the work done to stretch the spring by 0.04 m is 16 joules (J).

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\(\\ \sf\longmapsto h=ut+\dfrac{1}{2}gt^2\)

\(\\ \sf\longmapsto h=5.2(11)+\dfrac{1}{2}(9.8)(11)^2\)

\(\\ \sf\longmapsto h=57.2+4.9(121)\)

\(\\ \sf\longmapsto h=57.2+592.9\)

\(\\ \sf\longmapsto h=650.1m\)

A truck travels on a straight road at a velocity of 17 meters per second. Over 20 seconds, it accelerates uniformly to 27 meters per second. The acceleration of the truck was 0.5 m/s^2

The velocity of the truck after 20 seconds is 27 m/s and its initial velocity was 17 m/s, so the change in velocity is:

Δv = 27 m/s - 17 m/s = 10 m/s

The acceleration can be calculated as the change in velocity divided by the time it took to change, so:

a = Δv / t = 10 m/s / 20 s = 0.5 m/s^2

Acceleration is a measure of the rate of change of velocity over time. It is a vector quantity, meaning it has both magnitude and direction, and is defined as the derivative of velocity with respect to time. In other words, acceleration is the rate at which an object's velocity is changing. If an object is moving in a straight line and its velocity is increasing, then it is accelerating. If the velocity is decreasing, then the object is decelerating.

Acceleration has units of meters per second squared (m/s^2). Positive acceleration means an increase in velocity, while negative acceleration means a decrease in velocity. For example, when an object is accelerating upwards, its acceleration is positive, while when it is falling, its acceleration is negative.

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Explanation

Step 1

free body diagram

so, for m1

m1= 10 kg

so,

and for m2

Step 2

now, replace in equaiotn (1) and solve for a

finally, replace in equation (2) to find Tension

I hope this helps you

Answer:

Minimum uniform acceleration in Km/hr² is 20,505.05 km/hr²

Explanation:

In other to determine the acceleration, we can use the formula below

acceleration = velocity/time

Time wasn't given in the question, hence we calculate for time using the parameters given and the formula below

Velocity= distance/time

time = distance/velocity

distance = 2000m ⇔ 2km

time = 2/203

time = 0.0099

Hence, we look for acceleration

which is

acceleration = 203/0.0099

= 20,505.05 km/hr² ⇔ 2.0 × 10⁴

The formula to calculate how far the boat sinks into the liquid is:

Depth = (Weight of the boat - Buoyant force) / (Length x Width of the submerged part of the boat)

To calculate how far a boat sinks into a liquid, we need to take into account the weight of the boat and the buoyant force of the liquid acting on the boat. The buoyant force is equal to the weight of the liquid displaced by the boat, which depends on the volume of the boat submerged in the liquid. We can use the following steps to calculate how far the boat sinks into the liquid:

So, the formula to calculate how far the boat sinks into the liquid is:

Depth = (Weight of the boat - Buoyant force) / (Length x Width of the submerged part of the boat)

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An object in motion is an object that is changing position relative to its surroundings.

Correct option is C.

For example, if one were to observe a ball rolling along the ground, the ball would be considered to be an object in motion. This is because the ball is changing position relative to its surroundings as it moves forward. Thus, if an object is moving in a certain trajectory, it is in motion. This motion may be linear, rotational, or even curvilinear.

Additionally, the object may be accelerating or decelerating. In any event, the object is still considered to be in motion as long as its position relative to its surroundings is changing. Although objects may remain still, objects at rest are not considered to be in motion.

Correct option is C.

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Answer:

y(x, t) = A Sin(ωt ± kx)

Explanation:

Waves can be classifies as either stationary (standing), or progressive (travelling). A progressive wave is one the is a traveling wave, transferring energy along its path. While a stationary wave seems not to be moving.

The general equation for a progressive wave is;

y(x, t) = A Sin(ωt ± kx)

Where: A is its amplitude, t is the time, k is the wave number.

When the wave travels in the positive x-axis direction, the equation changes to;

y(x, t) = A Sin(ωt - kx)

When it travels in the negative x- axis direction, the equation becomes;

y(x, t) = A Sin(ωt + kx)

NB: ω = 2\(\pi\)f and k = 2\(\pi\)/λ.

Answer:

my only true question is b

Answer:

vote me brainliest

Explanation:

The magnitude B of the magnetic field at the center of the semicircles is given by these expression B = (μ₀(I(outer) - I(inner)))/(π(a + b)). The B in terms of the asked variable.

In this case, we have two concentric semicircles, each carrying current in opposite directions. Let's consider a circular loop with radius r, where a < r < b. The magnetic field at the center of this loop will be the sum of the magnetic fields produced by the two semicircles.

For the outer semicircle (radius b), the magnetic field at the center can be calculated as follows:

∮ B · dl = μ₀I(outer)

For the inner semicircle (radius a), the magnetic field at the center has the opposite direction, so the equation becomes:

∮ B · dl = -μ₀I(inner)

Since the circular loop with radius r contains both the inner and outer semicircles, we can add these equations together:

∮ B · dl = μ₀(I(outer) - I(inner))

The line integral ∮ dl represents the circumference of the circular loop, which is 2πr:

B(2πr) = μ₀(I(outer) - I(inner))

B = (μ₀(I(outer) - I(inner)))/(2πr)

In this case, as we are interested in the magnetic field at the center of the semicircles, the radius r would be the average radius between a and b, given by:

r = (a + b)/2

Substituting this value into the equation, we get the final expression for the magnitude B of the magnetic field at the center of the semicircles:

B = (μ₀(I(outer) - I(inner)))/(2π((a + b)/2))

B = (μ₀(I(outer) - I(inner)))/(π(a + b))

Therefore, the magnitude B of the magnetic field at the center of the semicircles is given by B = (μ₀(I(outer) - I(inner)))/(π(a + b)).

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Answer:

1. 1. A quantity is completely described by magnitude alone. A quantity Is completely described by a magnitude with a direction.

[a]. scalar, vector

b. vector, scalar

2.2. Speed is a velocity is a quantity and quantity.

a. scalar, vector

[b]. vector, scalar

Science does not  work when every one does the same thing, some creative thinking will be major breakthroughs for an invention. Therefore, option B is correct.

So how do researchers come up with those particular questions to look into ! It may come as a shock to learn how much imagination is required for the procedure.

Peter Medawar, a Nobel Prize-winning biologist, once described scientific inquiry as "the art of the soluble"  In order to succeed in science, one must first identify the questions that may be answered by scientific study and then determine the answers to those questions, according to Medawar.

Because of how intricate the natural world is, it is frequently impossible to directly address the really intriguing, significant scientific topics

The art of science includes repeatedly re-imagining these complex issues, mentally dividing them into more manageable components, and then guessing as to which of these more manageable components might hold the answer to solving the larger issue.

Therefore, all the discoveries and inventions are resulted from the creative ideas and thoughts of scientists. Therefore, creativity is the only way to make a controlled experiment.

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