You have a circuit of three resistors in series connected to a battery. You add a fourth resistor, also in series, to the combination. As a result:_______.
A. Power delivered from the battery to combination increases.
B. It is impossible to give the answer without knowing the actual resistances and voltage of the battery.
C. Power delivered from the battery to combination is unchanged.
D. Power delivered from the battery to combination decreases.

Answer:

A) 0.12 m

B) 11.5 degrees

A) Two convex lenses

D) Amplitude

A) 491.8 m

B) 2.92 m

C) 9.677 MHz

I couldn't see the options for number eight, so I'm unsure if this is correct, but I got 507.7 K in my calculations.

Hello!

(i)

Recall the equation for the capacitance of a parallel-plate capacitor:
\(C = \frac{\epsilon_0 A}{d}\)

C = Capacitance (F)
ε₀ = Permittivity of Free Space (8.85 × 10⁻¹² C²/Nm²)

A = Area of each plate (A = πr² = π(0.082²) = 0.0211 m²)
d = separation between plates (0.0013m)

Plug in the values to solve.

\(C = \frac{(8.85 \times 10^{-12})(0.0211)}{0.0013} = 1.4387 \times 10^{-10} F = \boxed{0.14387 nF}\)

(ii)
Using the following equation:
\(C = \frac{Q}{V}\)

Q = Charge on capacitor (C)

V = Potential difference of capacitor (V)
Rearrange to solve for charge and solve.

\(Q = CV\\\\Q = (1.4387\times 10^{-10}) (120) = 1.7265 \times 10^{-8} C = \boxed{17.265nC}\)

**Remember that NEITHER charge OR voltage affects the capacitance; capacitance is STRICTLY determined by geometry.

(B)
We can begin by deriving the equation of the capacitance of a two-sphere spherical capacitor using the following:
\(C = \frac{Q}{|\Delta V|}\)

We know that:
\(\Delta V = -\int E \cdot dr\)

Let's say that the inner sphere's radius is 'r', and the outer sphere's radius is '2r'. These are our limits for the integral. The electric field of a spherical charge is given as:

\(E = \frac{kQ}{r^2}\)

Now, we can integrate to find the potential difference between the two spheres.

\(\Delta V = -\int\limits^{2r}_r {\frac{kQ}{r^2}} \, dr\\\\\Delta V = \frac{kQ}{r}\left \| {{2r} \atop {r}} \right. \\\\\Delta V = \frac{kQ}{2r} - \frac{kQ}{r} = -\frac{kQ}{2r}\\\\ |\Delta V| = \frac{kQ}{2r}\)

Using the equation for capacitance:
\(C = \frac{Q}{\frac{kQ}{2r}}\\\\C = \frac{2r}{k}\)

Solve for 'r'. Recall that k = 8.99 × 10⁹ Nm²/C².

\(r = \frac{Ck}{2} = \frac{(0.000002)(8.99\times 10^9)}{2} = 8990 m\)

Since the radius of the outer is '2r', we can easily solve for the outer sphere's radius and subtract the volume of the inner from the outer to find the volume of the region between the spheres.

\(V_{outer} = \frac{4}{3}\pi (17980^2) = 1354153772.92 m^3\\\\V_{inner} = \frac{4}{3}\pi (8990^2) = 338538443.23 m^3\\\\V_{outer} - V_{inner} = 1015615329.69 m^3 = \boxed{1.0156 \times 10^9 m^3}\)

The value of the fourth resistor in the parallel circuit is 6 ohms.

The value of the fourth resistor is calculated by applying the formula for effective resistance of a parallel circuit.

1/Re = 1/R₁ +1/ R₂ + 1/R₃ + 1/R₄

where;

1/0.5 = 1/1 + 1/2 + 1/3 + 1/R₄

2 = 1 + 0.5 + 0.333 + 1/R₄

0.167 = 1/R₄

R₄ = 1/0.167

R₄ = 6 ohms

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A hypothesis about the D dwarf planet pLito can be classified as falsifiable or non-falsifiable based on the specific claims and whether they can be tested or contradicted by empirical evidence.

To determine whether a hypothesis about a D dwarf planet, pLito, is falsifiable or non-falsifiable, we need to consider the concept of falsifiability in scientific hypotheses.

Falsifiability refers to the property of a hypothesis or scientific statement being able to be proven false or contradicted by empirical evidence. In other words, a hypothesis is considered falsifiable if there is a potential for empirical observations or experiments that could demonstrate it to be incorrect.

If a hypothesis is non-falsifiable, it means that no conceivable observation or experiment could contradict or disprove it. Non-falsifiable hypotheses often fall outside the realm of empirical science because they cannot be tested or subjected to empirical scrutiny.

Now, without specific details or context about the hypothesis regarding the D dwarf planet pLito, it is challenging to determine its falsifiability. However, I can provide some general examples to illustrate how a hypothesis about a dwarf planet like pLito could be classified:

Falsifiable Hypothesis:

"pLito has an atmosphere composed primarily of nitrogen."

"The surface temperature of pLito is below freezing."

Both of these hypotheses can be potentially tested through empirical observations or experiments. For example, we could study the spectrum of light reflected by pLito to analyze its atmospheric composition or use telescopic observations to estimate its surface temperature. If these observations or experiments yielded results contradicting the hypotheses, they would be considered falsified.

Non-Falsifiable Hypothesis:

"pLito is the most important planet in the universe."

"pLito possesses an invisible shield protecting it from any external influence."

These hypotheses fall into the category of non-falsifiable because they are not based on measurable or testable parameters. They involve subjective or unverifiable claims that cannot be tested through empirical evidence or observation.

Therefore,, the classification of a hypothesis about the D dwarf planet pLito as either falsifiable or non-falsifiable depends on the specific claims and whether they can be tested or contradicted by empirical evidence.

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Answer:

The orbital velocity \(v = 16.4 \ km/s\)

The period is  \(T = 14.8 \ hours\)

Explanation:

Generally centripetal force acting ring particle is equal to the gravitational  force between the ring particle and the planet , this is mathematically represented as

       \(\frac{GM_s * m }{r^2 } = m w^2 r\)

=>    \(w = \sqrt{ \frac{GM}{r^3} }\)

Here G is the gravitational constant with value  \(G = 6.67*10^{-11}\)

        \(M_s\)  is the mass of with value  \(M_s =5.683*10^{26} \ kg\)

        r is the is distance from the center of the  to the  outer edge of the  A ring

i.e r = R  + D  

Here R  is the radius of the planet   with value  \(R = 60300 \ km\)

         D  is the distance from the  equator to the outer edge of the  A ring with value  \(D = 80000 \ kg\)

So  

       \(r =80000 + 60300\)

=>    \(r =140300 \ km = 1.4*10^{8} \ m\)

So

    =>    \(w = \sqrt{ \frac{ 6.67*10^{-11}* 5.683*10^{26}}{[1.4*10^{8}]^3} }\)

    =>    \(w = 1.175*10^{-4} \ rad/s\)

Generally the orbital velocity is mathematically represented as

       \(v = w * r\)

=>     \(v = 1.175*10^{-4} * 1.4*10^{8}\)

=>     \(v = 1.64*10^{4} \ m /s = 16.4 \ km/s\)

Generally the period is mathematically represented as

     \(T = \frac{2 \pi }{w }\)

=> \(T = \frac{2 * 3.142 }{ 1.175 *10^{-4} }\)

=> \(T = 53473 \ second = 14.8 \ hours\)

Answer:

The orbital velocity \(v = 16.4 \ km/s\)

The period is  \(T = 14.8 \ hours\)

Explanation:

Generally centripetal force acting ring particle is equal to the gravitational  force between the ring particle and the , this is mathematically represented as

       \(\frac{GM_s * m }{r^2 } = m w^2 r\)

An acidic solution is indicated by values between 0 and 7. A basic answer is indicated by values between 7 and 14. A solution is neutral when its pH value is exactly 7, meaning it is neither acidic nor basic.

By taking into account the reactivity of both the cation and the anion with water, we may determine whether a salt solution will be acidic, basic, or neutral. Water will not react with either species, leaving a neutral solution.

Since phenolphthalein's colour change is easier to see, it is typically preferred. It would be wise to utilize phenolphthalein, which is used and undergoes a sharp change at the equivalency point.

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Values between 0 and 7 suggest an acidic solution. Values between 7 and 14 indicate a basic response. When a solution's pH is exactly 7, it is considered neutral and is neither acidic nor basic.

We can tell whether a salt solution will be acidic, basic, or neutral by considering how the cation and anion react with water. Both species will not interact with water, leaving a neutral solution.

It is often used because phenolphthalein's color change is simpler to see. It is advisable to use phenolphthalein, which has a strong change at the equivalence point and is widely utilized. When a solution's pH is exactly 7, it is considered neutral and is neither acidic nor basic.

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The difference in these numbers is likely due to the fact that there are a few very highly paid female tennis players who skew the average upwards.

Average is a term used to describe a value that is representative of a set of data. It is calculated by adding up all the values in a set and dividing by the number of values in the set. Average can be used to describe the mean, median, or mode of a set of data. It is often used to average out the highs and lows in a set of data, to give an overall picture of the data set. Average can also be used to compare different sets of data to each other.

The median, however, only takes into account the middle value of the data set, so it doesn't take into account outliers like the highly paid female tennis players. This is why the median is usually considered a better measure of central tendency than the average.

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Answer:

becaude of electricity

Given that,

The earth's moon has a gravitational field strength of about 1.6 n/kg

Mass of Moon, \(M=7.35\times 10^{22}\ kg\)

To find,

The radius of the Moon.

Solution,

The formula for the acceleration due to gravity is given by :

\(g=\dfrac{GM}{r^2}\)

r is radius of the Moon

\(r=\sqrt{\dfrac{GM}{g}} \\\\r=\sqrt{\dfrac{6.67\times 10^{-11}\times 7.35\times 10^{22}}{1.6}} \\\\r=1750437.44\ m\\\\r=1.75\times 10^6\ m\)

So, the radius of the Moon is \(1.75\times 10^6\ m\).

Answer:

100

Explanation:

F = m * a

Given that the mass (m) of the toy car is 20 grams (or 0.02 kilograms, since 1 kilogram = 1000 grams) and the acceleration (a) is 5 m/s^2, we can plug these values into the formula to calculate the force (F):

F = 0.02 kg * 5 m/s^2 = 0.1 N

So, the amount of force required to accelerate the 20 gram toy car at 5 m/s^2 is 0.1 N, which is equivalent to 100 N when rounded to the nearest whole number. Therefore, the correct answer is 100 N.

The dependent, independent, and controlled variables​ are as follows:

1. Dependent - The effect of lime urea table salt and compost on the soil

2. Independent - The soil on which the elements are incorporated.

3. Controlled variable - The height of the plants.

The dependent variable is that which is tested in the experiment and in this experiment, Chandani is testing the effect of lime, urea, table salt, and compost on the soil.

The independent variable is the altered element in the experiment and for this experiment, this is the soil that receives different additives. Finally, the controlled variable is that which remains constant and that is the height of each plant that the researcher checks.

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The tension in the strings are 31.47 and 19.25 N respectively.

Mass of the block, m = 3 kg

From the figure, consider the vertical components,

T₁ sin45° + T₂ sin30° = mg

(T₁/√2) + (T₂/2) = 3 x 9.8 = 29.4

Also, consider the horizontal components,

T₁ cos45° = T₂ cos30°

T₁/√2 = T₂ x√3/2

T₁ = T₂ x √3/2 x √2

So,

T₁ = 0.612T₂

Applying in the first equation,

(T₁/√2) + (T₂/2) = 29.4

(0.612T₂/1.414) + 0.5T₂ = 29.4

0.434 T₂ + 0.5 T₂ = 29.4

0.934 T₂ = 29.4

Therefore, the tension,

T₂ = 29.4/0.934

T₂ = 31.47 N

So, the tension,

T₁ = 0.612 T₂

T₁ = 0.612 x 31.47

T₁ = 19.25 N

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Answer:

The greater the amount of output for a given unit of input, the higher the overall productivity. Businesses generally aim to improve productivity over time to maintain competitiveness and increase the business's profitability. Individuals are familiar with the idea of productivity in their own lives.

Answer:

a ut will move faster than the large object was moving initially

Answer: It will move faster than the large object was moving initially.

Explanation:

Answer:

The water cycle shows the continuous movement of water within the Earth and atmosphere. ... Liquid water evaporates into water vapor, condenses to form clouds, and precipitates back to earth in the form of rain and snow. Water in different phases moves through the atmosphere (transportation).

Explanation:

It's the water cycle.

Displacement is equal to the area under a velocity-time graph.

Answer:

Explanation:

The velocity of the car can be found by using the formula

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

d is the distance

t is the time taken

From the question we have

\(v = \frac{50}{2} \\ \)

We have the final answer as

Hope this helps you

Answer:

negative 1 charge

Explanation:

one electron is extra so there will be -1 chargw

If an atom has two protons and three electrons than the atom is negatively charged.

An atom is a matter particle that defines a chemical element uniquely. An atom is made up of a central nucleus and one or more negatively charged electrons.

The nucleus is positively charged and contains one or more protons and neutrons, which are relatively heavy particles.

It is made up of protons, which have a positive charge, and neutrons, which do not have any charge. Protons, neutrons, and the electrons that surround them are long-lived particles found in all natural atoms.

The modern atomic hypothesis was founded by John Dalton, a great chemist. His atom, on the other hand, was like a solid billiard ball.

An atom is negatively charged if it has two protons and three electrons.

Thus, the given atom bears negative charge.

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Two forces f1=(8i+3j)N and f2=(4i+6j) are acting on 5kg object then  the magnitude of the resultant force is 15 N and the direction of the resultant force is approximately 36.87 degrees from the positive x-axis.

The acceleration of the object in the x-component (\(a_x\)) is 2.4  \(m/s^{2}\), and the acceleration in the y-component (\(a_y\)) is 1.8  \(m/s^{2}\).

The magnitude of the acceleration of the object is 3  \(m/s^{2}\).

To find the magnitude and direction of the resultant force, we need to add the two given forces together.

Given:

f1 = (8i + 3j) N

f2 = (4i + 6j) N

To find the resultant force (\(F_res\)), we simply add the corresponding components:

\(F_res\) = f1 + f2

= (8i + 3j) + (4i + 6j)

= (8 + 4)i + (3 + 6)j

= 12i + 9j

The magnitude of the resultant force (\(|F_res|\)) can be found using the Pythagorean theorem:

\(|F_res|\)= \(\sqrt{(12^2) + (9^2)}\)

= \(\sqrt{144 + 81}\)

= \(\sqrt{225}\)

= 15 N

So, the magnitude of the resultant force is 15 N.

To find the direction of the resultant force, we can use trigonometry. The direction can be represented by the angle θ between the positive x-axis and the resultant force vector. We can calculate θ using the inverse tangent function:

θ = arctan(9/12)

= arctan(3/4)

≈ 36.87 degrees

Therefore, the direction of the resultant force is approximately 36.87 degrees from the positive x-axis.

Now let's calculate the acceleration of the object in the x and y components. We know that force (F) is related to acceleration (a) through Newton's second law:

F = ma

For the x-component:

\(F_x\)= 12 N

m = 5 kg

Using  \(F_x\)= \(ma_x\), we can solve for \(a_x\):

12 N = 5 kg * \(a_x\)

\(a_x\)= 12 N / 5 kg

\(a_x\) = 2.4 \(m/s^{2}\)

For the y-component:

\(F_y\) = 9 N

m = 5 kg

Using \(F_y\) = \(ma_y\), we can solve for \(a_y\):

9 N = 5 kg * \(a_y\)

\(a_y\) = 9 N / 5 kg

\(a_y\)= 1.8  \(m/s^{2}\)

So, the acceleration of the object in the x-component (\(a_x\)) is 2.4  \(m/s^{2}\), and the acceleration in the y-component (\(a_y\)) is 1.8  \(m/s^{2}\).

To find the magnitude of the acceleration (|a|), we can use the Pythagorean theorem:

|a| = \(\sqrt{(a_x^2) + (a_y^2)}\)

= \(\sqrt{(2.4^2) + (1.8^2}\)

= \(\sqrt{5.76 + 3.24}\)

= \(\sqrt{9}\)

= 3  \(m/s^{2}\)

Therefore, the magnitude of the acceleration of the object is 3  \(m/s^{2}\)

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Answer: 12,339

Explanation:

Answer:

c is correct

Explanation:

I hope this helps.

When Drake lifted a couch to a height of 0.2 meters in 1.3 seconds. He did 300 j of work then the power used by Drake is

The total amount of energy transferred when a force is applied to move an object through some distance

The work done is the multiplication of applied force with displacement.

Work Done = Force * Displacement

As given in the problem Drake lifted a couch at a height of 0.2 meters in 1.3 seconds. He did 300 j of work.

Work done by the drake = 300 J

Time taken by the drake to do the work = 1.3 seconds

By substituting the values of the work and time in the formula of power

Power = work done  / time

          = 300/1.3

          = 230.77 Watt

Thus, the power used by Drake is 230.77 Watt

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Let m₁ = 3.0 kg and v₁ = + 8 m/s (so right is positive), and m₂ = 1.0 kg and v₂ = 0. The total momentum of the two balls before and after collision is conserved, so

m₁v₁ + m₂v₂ = m₁v₁' + m₂v₂'

where v₁' = + 5 m/s and v₂' are the velocities of the two balls after colliding, so

(3.0 kg) (8 m/s) = (3.0 kg) (5 m/s) + (1.0 kg) v₂'

Solve for v₂' :

24 kg•m/s = 15 kg•m/s + (1.0 kg) v₂'

(1.0 kg) v₂' = 9 kg•m/s

v₂' = (9 kg•m/s) / (1.0 kg)

v₂' = + 9 m/s

which is to say, the second ball is given a speed of 9 m/s to the right after colliding with the first ball.

Answer:

is a guideline to help an individual write and achieve well-specified goals.

Explanation:

An action plan  is a guideline to help an individual write and achieve well-specified goals.

Answer:

yes, the guideline is to help an individual write and achieve well-specified goals.

Explanation:

Answer:

it would remain the same speed

Explanation: the rock isnt going down a hill or anything so therefore if gravity isnt pulling it down a slope then it would remain the same pace

Explanation

Step 1

Diagram:

Step 2

the work done by an object is defined as:

the product of the displacement of an object and the component of the applied force which is in the direction of the object's displacement:

so,let

therefore,l to reduce the amount of force needed , we need to affect the distnace or the angle

Step 3

let's check every option

A)Make the ramp higher.

as the distnace becomes greater the force must increase too, so this is not the rigth option,in other words , a higher distnace will neeed a stronger force

B)making the ramp longer will make the angle becomes smaller, and this makes the distance becomes greater,

C) when yuo make the ramp shorter ,you will need the same force because the displacementis vertical

when the angle becomes smaller, the work will be the same, but the distnace and force, change, cos

when the angle goes to 0° degrees the required force becomes smaller, so

the answer is

b. Make the ramp longer.

D)finally, if yuo lift the object witouth the ramp ( vertically) , the distnace becomes smaller, ( only 3 m),but the force is the total weigth of the object ( 300 N)

I hope this helps you

Answer:

a. TRUTH

b. FALSE

c. TRUTH

d. FALSE

Explanation:

The emf (electromagnetic force) is generated in a loop or solenoid by the change in the magnetic flux in a closed conductor path (for example, a wire).

This can be noted in the following formula, which is known as the Lenz's law:

\(emf=-N\frac{d\Phi_B}{dt}=-N\frac{d(AB)}{dt}\)   (1)

Then, the change, in time, of the area of the conductor, or the change in the magnitude of the magnetic field, the induced emf acquires different values. Furthermore, the loops have a resistance, then, a current can be measured when an emf is induced.

Based on this information you have:

a. an induced emf is caused by a changing magnetic flux. TRUTH

b. an emf can only be induced in a conducting loop by moving the loop through an area that has a constant magnetic field. FALSE

c. an induced emf can be observed by measuring the current that is created. TRUTH

d. an induced emf and conventional induced current are in opposite directions. TRUTH (the minus sing in the equation (1) )

Explanation:

ghost do exist and the science behind it is people have experienced paranormal activities

Answer: science has no evidence that ghosts are real

Explanation:

The introduction of catalysts in the process allows it to proceed more quickly by lowering the activation energy required for the reaction.

Energy is the capacity to perform work, according to scientists. Because of the ability to transform energy from one type to another and use it to accomplish tasks, modern civilisation is feasible.

The definition of energy is "capacity of doing work, which really is ability to apply force causing movement of an object." Energy is merely the force that moves objects, despite this definition's seeming complexity. Both potential and kinetic energy fall under this category.

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