A new pump can drain your pool 4 times faster than the old pump.

Running the two together, it takes 4 hours to drain the pool.

How long will it take the old pump on its own just to drain the pool water?​

How to find g (acceleration due to gravity)

We know,

Acceleration due to gravity (g)

\( = \frac{GM}{ {R}^{2} } \)

where, G = Gravitational constant

\( = 6.67 \times {10}^{11} N {m}^{2}/k {g}^{2} \\ \)

M = Mass of the earth

\( = 6 \times {10}^{24} \: kg\)

R = Radius of the earth

\( = 6.4 \times {10}^{6} m\)

Putting these values of G, M and R in the above formula, we get

\(g \: = \: \frac{6.67 \times {10}^{11} N {m}^{2}/k {g}^{2} \times \: 6 \times {10}^{24} \: kg }{(6.4 \times {10}^{6}m {)}^{2} } \\ = 9.8m/ {s}^{2} \)

So, the value of acceleration due to gravity is

\(9.8m/s ^{2} \)

Hope it helps.

Do comment if you have any query.

Answer: Hope this helps ;) don't forget to rate this answer !

Explanation:

There are two correct answers:

A) A corporation leader makes direct payment to the candidate.

D) A corporation contributes to a Super PAC that a PAC accepts contributions for a candidate.

Option A describes a scenario where a corporation directly donates money to a presidential candidate, which is allowed as long as it is done within the limits set by campaign finance laws.

Option D describes a scenario where a corporation donates money to a Super PAC, which is a type of political action committee that can accept unlimited donations from individuals, corporations, and other organizations. The Super PAC can then use the money to support or oppose a particular candidate, but it is not allowed to coordinate directly with the candidate or the candidate's campaign.

I hope this helps! Let me know if you have any other questions.

A parallel circuit is an electrical circuit with more than one current path and all circuit components are connected between the same two sets of electrically common points. The current supplied by the source in a parallel circuit is equal to the sum of all branch currents in the circuit.

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Answer: NO, there are many examples of non-conservative forces.

Explanation: Conservatives forces are special forces whose work is zero in a closed path.

Answer:

F = F₀ 0.2

Explanation:

For this exercise we apply Coulomb's law with the initial data

     F₀ = k q_A q_B / d²

indicate several changes

q_A ’= ½ q_A

q_B ’= 1/10 q_B

d ’= ½ d

let's substitute these new values ​​in the Coulomb equation

          F = k q_A ’q_B’ / d’²

          F = k ½ q_A 1/10 q_B / (1/2 d)²

          F = (k q_A q_B / d2) ½ 1/10 2²

          F = F₀ 0.2

ANSWER:

585.6 Joules

STEP-BY-STEP EXPLANATION:

The work is given by the following equation:

Where F is the force and d the distance, therefore we replace and calculate the value of the work:

Work is 585.6 Joules

Answer:

b (i think)

Explanation:

Answer:

The animal will move forward with a slight tilt to the right due to the net force of 72 N to t

Explanation:

The motion of the animal will be the movement towards the right direction due to an unbalanced force on the right. Thus, the correct option is B.

Newton's first law of Motion states that every object which is in motion or rest will remain at rest or in uniform motion in a straight line unless and until compelled to change its state of motion by the action of an external force.

Motion can be defined as the change in position of an object with respect to its surrounding in a given interval of time period. The motion of an object with some mass can be described in terms of the distance, displacement, and speed of the object.

The animal which is experiencing multiple forces will move towards the right direction due to an unbalanced force on the right which is more than other forces.

Therefore, the correct option is B.

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Your question is incomplete, most probably the complete question is:

An animal is walking forward. There is an applied force from the animal of 25 N to the right, a frictional force of 18 N to the left, a force of gravity of 65 N down and the animal is being pushed up by the ground with 65 N. What best describes the motion of the animal?

a. The animal will move to the left due to an unbalanced force on the left

b. The animal will move to the right due to an unbalanced force on the right

c. The animal will move down due to an unbalanced force down

d. The animal will move up due to an unbalanced force upwards

Answer:

14285.71N/m2

Explanation:

Young modulus known as modulus of elasticity is defined as;

E = σ/ε

Where E is young modulus

ε is strain defined as extention / length

σ is stress defined as force /area

Let's calculate σ;

Force = mass× gravity =200/1000. × 10 =0.2kg× 10 = 2N

The area impacted by the force is raduis surface of the wire and it's calculated thus;

πr^2 = 22/7 × (0.04)^2 ; 4cm in m = 0.04m=0.005m2

Hence σ = 2/0.005=400N/M2

Let's calculate ε;

ε= extension/ original length

extension = final length - original length

extension=25.7-25=0.7cm= 0.007m

ε= 0.7/25

Hence E = 400/ 0.7/25

E = 400 × 25/ 0.7= 14285.71N/m2

Organelles are specialized structures within cells that perform specific functions, such as energy production, protein synthesis, and waste removal.

Some examples of organelles include mitochondria, which produce energy for the cell, and ribosomes, which are involved in protein synthesis.

The size of cells can vary widely depending on the organism and the type of cell. For example, human cells can range from 10 to 30 micrometers in diameter, while bacterial cells are typically much smaller, ranging from 1 to 5 micrometers in diameter.

In summary, organelles are specialized structures within cells that perform specific functions, and the size of cells can vary widely depending on the organism and the type of cell.

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Answer:

9.8m/s

Explanation:

Answer: The speed 1934

Heat will flow from the metal to the water until both are at a temperature somewhere between 20°C and 300°C because of thermal equilibrium.

When there is no temperature differential between the system and its surroundings, a system is said to be in thermal equilibrium.

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The ranking of the boy's location in the ferris wheel ridding motion above comparing his felt weight from the highest to the lowest is 1, 2 and 4 tie, 3.

The correct answer choice is option c.

The correct image is attached.

In motion above by the boy, the boy feels he weighs the greatest at location 3 among all the location simply because there is a force known as centripetal force which technically acts upward at that point which makes more weight be felt among all.

However, at the locations 2 and 4, the force actually was acting side ways, which would still not affect the weight from 3 in the circular movement. And at location, the weight felt feels the lowest among all.

In conclusion, the locations of the boy on a ferris wheel ridding from the greatest is highest to the lowest is 1, 2 and 4 tie, 3.

Complete question:

The diagram above represents a Ferris wheel-a circular ride that rotates in a vertical circle with seats where people sit. The numbers correspond to a seat in four difference places as the Ferris wheel rotates.

Imagine a boy sitting in this seat riding the ride with the Ferris wheel rotating in the direction shown (at constant speed). Rank the locations according to how much the boy would feel like he weighs,greatest first.

a. 1, 2, 3, 4

b. 1 and 3 tie, 2 and 4 tie.

c. 1, 2 and 4 tie, 3

d. 4, 3, 2, 1.

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The wavelength of light that should be used to obtain fringes that are 0.0045 m wide after reducing the distance between the screen and the slit by half is 2.25 * 10^7 Å.

Huygens's Principle states that every point on a wavefront can be considered as a source of secondary spherical wavelets that spread out in all directions with the same speed as the original wave. The new wavefront is formed by the envelope of these secondary wavelets at a later time.

Now, let's consider a Young's double-slit experiment. In this experiment, when light passes through two narrow slits, it creates an interference pattern on a screen behind the slits. The fringe width is the distance between two consecutive bright or dark fringes in the pattern.

Given that the fringe width obtained is 0.6 cm and the wavelength of light used is 4500 Å (Angstroms), we can calculate the wavelength of light required to obtain fringes that are 0.0045 m wide.

We can use the formula for fringe width in Young's double-slit experiment:

w = (λ * D) / d

Where:

w is the fringe width,

λ is the wavelength of light,

D is the distance between the screen and the double slits, and

d is the distance between the two slits.

Let's calculate the value of D/d using the given information:

D/d = w / λ

= 0.006 m / 4500 Å (1 m = 10^10 Å)

= 0.006 * 10^10 / 4500 m^-1

Now, if the distance between the screen and the slit is reduced by half, the new value of D/d would be:

(D'/d) = (0.006/2) * 10^10 / 4500 m^-1

Now, we can rearrange the equation to solve for the new wavelength (λ'):

(λ' * D') / d = (D/d)

λ' = (D/d) * d / D

= [(0.006/2) * 10^10 / 4500] * (4500 / 0.006) Å

= 0.0045 m * 10^10 / 2 Å

= \(0.00225 * 10^{10\) Å

=\(2.25 * 10^7\)Å

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It would take approximately 546 days for the decay rate of the sample of this radioactive isotope to fall to 0.58 of its initial rate.

1. The decay rate of a radioactive isotope is proportional to the number of radioactive atoms present in the sample at any given time.

2. The decay rate can be expressed as a function of time using the formula: R(t) = R₀ * \(e^{(-\lambda t\)), where R(t) is the decay rate at time t, R₀ is the initial decay rate, λ is the decay constant, and e is the base of the natural logarithm.

3. The half-life of a radioactive isotope is the time it takes for half of the radioactive atoms in a sample to decay. In this case, the half-life is given as 210 days.

4. Using the half-life, we can find the decay constant (λ) using the formula: λ = ln(2) / T₁/₂, where ln(2) is the natural logarithm of 2 and T₁/₂ is the half-life.

5. Substituting the given half-life into the formula, we have: λ = ln(2) / 210.

6. Now, we need to find the time it takes for the decay rate to fall to 0.58 of its initial rate. Let's call this time "t".

7. Using the formula for the decay rate, we can write: 0.58 * R₀ = R₀ * e^(-λt).

8. Simplifying the equation, we get: 0.58 = \(e^{(-\lambda t\)).

9. Taking the natural logarithm of both sides, we have: ln(0.58) = -λt.

10. Substituting the value of λ from step 5, we get: ln(0.58) = -(ln(2) / 210) * t.

11. Solving for t, we have: t = (ln(0.58) * 210) / ln(2).

12. Evaluating the expression, we find: t ≈ 546.

13. Therefore, it would take approximately 546 days for the decay rate of the sample of this radioactive isotope to fall to 0.58 of its initial rate.

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Answer:

Units named after scientists are written in lowercase but their symbols are written as capital

Unit of power is watt, since it is named after a scientist, then symbol will be written as W

Farad, symbol = F

Henry, symbol = H

Units whose names aren't culled from that of scientists are written in lower case and their symbols are also in lower case.

Units such as meter, kilogram should be represented with symbols in small letters as: m and kg respectively.

Explanation:

Kindly check answer

Answer: A solar eclipse results when the moon passes in between the earth and the sun hiding the sun fully or partly for some time. A lunar eclipse occurs when the earth passes in between the moon and the sun casting its shadow on the moon and thus hiding it fully or partly for some time.

Based on the information, we can infer that A. represents a Mitochondria.

Mitochondria is a term to refer to the eukaryotic cell organelles responsible for supplying most of the energy necessary for cell activity through the process called cellular respiration.

Based on the information, we can infer that the element that is labeled with the letter A is a mitochondrion because its location is that of a mitochondrion. In this case, the mitochondria is red, although in other models it can be represented with another color. In general, it is given this shape and this color to distinguish it from other elements of the cell.

Note: This question is incomplete. Here is the complete information:

Attached image

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Answer:

1 and 3 im not sure

Explanation:

The magnitude of the electric flux through the sheet is 4.05 N m² C⁻¹ (Option E).

The electric flux through a surface is given by the product of the electric field strength and the area of the surface projected perpendicular to the electric field.

In this case, the electric field strength is 18 N C⁻¹, and the area of the sheet projected perpendicular to the electric field is 0.450 m²

(since the normal to the sheet makes an angle of 60° with the electric field). Multiplying these values gives the electric flux:

Electric flux = Electric field strength × Area

Electric flux = 18 N C⁻¹ × 0.450 m²

Electric flux = 8.1 N m² C⁻¹

In summary, the magnitude of the electric flux through the sheet is 4.05 N m² C⁻¹. This value is obtained by multiplying the given electric field strength by the projected area of the sheet perpendicular to the electric field.

The angle of 60° is taken into account to determine the effective area for calculating the flux.(Option E).

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A reflective surface reflection of light rays is called a specular or regular reflection. Here, light beams that are reflected off of a mirror or another smooth, shining surface.

How do light rays work?

Light Rays constitute merely a model for describing how light travels from one place to the other. A point source refers to any point of light that emits a cluster of sun beams or an emissive. Three types of light beams are possible. Both convergent and divergent, they are parallel.

What do you name a collection of light rays?

A point light supply is a collection of incoming light or an emissive that emanates from a light bulb. Three types of light beams are possible. Both convergent and divergent, they are parallel. Parallel: A similar light beam is created when photons from a far point source move in a specific direction parallel to one another.

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Answer:

Initial velocity = 0 × 5/18 = 0 m/s

Final Velocity = 100 × 5/18 = 27.77 m/s

Time = 6 sec

Acceleration

We know that

a = v - u/t

a = 27.77 - 0/6

a = 27.77/6

a = 4.6 m/s²

\( \\ \)

The average acceleration of the car is equal to 4.63 m/s².

The average acceleration is the change in velocity of an object divided by the elapsed time. Acceleration for an object can be described as the rate of change of velocity of the body.

The average acceleration for an interval is the change in velocity for that interval per time. So, the mathematical expression for the average acceleration can be written as:

Average acceleration (a) = △v/△t

If 'u' is the initial velocity and 'v' is the final velocity, and t is the time for the change of the velocity from u to v then a = v - u.

Given, the initial velocity of the car, u = 0

The final velocity of the car, v = 100 Km/hr = 27.77 m/s

The time is taken to change the velocity from 0 to 100 km/hr, t = 6 s

The average acceleration = (27.77 - 0)/6 = 4.63 m/s²

Therefore, the average acceleration of the car is equal to  4.63 m/s².

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If a person swims at a constant speed of 1 meter per second, than the linear function will be used to model the distance travelled by the swimmer.

The parent function is "the principal's of ice"

A linear function is a function that forms a straight line on a graph. It is generally a polynomial function whose degree is at most 1 or 0. Although linear functions are also represented in terms of calculus and linear algebra.

Here Y-axis represents Distance and X-axis represents Time.

Also speed is the rate of change of distance with respect to time i.e. distance is changing linearly with time

Mathematically it is  \(Speed = \frac{distance}{time}\).

Change in Distance = Change in time and hence speed is constant.

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The answer is  energy 3 times as much. option A.

To calculate the amount of energy released when a 5 kg object is converted to pure energy, we can use Einstein's famous equation: E = mc². In this equation, E represents energy, m represents mass, and c represents the speed of light.

Given that the mass of the object is 5 kg, we can calculate the energy using the equation:

E = (5 kg) * (c²)

Now, to compare this energy with the amount of energy the Earth receives from the Sun every second, we need to determine the Earth's solar energy input.

The solar constant is the amount of solar radiation received per unit area at the Earth's distance from the Sun. Its average value is approximately 1361 Watts per square meter (W/m²). Multiplying this value by the surface area of the Earth (approximately 510 million square kilometers), we can estimate the total energy received by the Earth from the Sun every second.

Energy from the Sun = (1361 W/m²) * (510,000,000,000 m²)

To compare the energy released from converting a 5 kg object to energy with the energy received from the Sun, we divide the former by the latter:

Energy conversion / Energy from the Sun = [(5 kg) * (c²)] / [(1361 W/m²) * (510,000,000,000 m²)]

Simplifying the equation, we find:

Energy conversion / Energy from the Sun = (5 kg * c²) / (1361 W/m² * 510,000,000,000 m²)

The value of c² is approximately (3x10^8 m/s)² = 9x10^16 m²/s².

Plugging in the values, we get:

Energy conversion / Energy from the Sun = (5 kg * 9x10^16 m²/s²) / (1361 W/m² * 510,000,000,000 m²)

Simplifying further:

Energy conversion / Energy from the Sun ≈ 3.52

Therefore, the amount of energy released when a 5 kg object is converted to pure energy is approximately 3.52 times larger than the amount of energy the Earth receives from the Sun every second.

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Answer: The rate at which an object moves towards a target is Speed

Explanation:

Rate is something that tells us amount of solmething that changes in one unit of time.

Speed is defined as the measure of the rate of movement of a body expressed either as the distance travelled divided by the time taken.

Arc is defined as the apparent path described above and below the horizon taken up by a celestial body.

Force is defined as a push or pull upon an object resulting from the object's interaction with another object.

Trajectory is defined as the path followed by an object moving under the action of given force.

A 3rd harmonic of a tube open at both ends will have displacement antinodes at both ends.

In a tube of length L with two open ends, the longest standing wave has displacement antinodes (pressure nodes) at both ends. The fundamental or first harmonic is what it is known as. The second harmonic is the longest standing wave in a tube of length L with two open ends.

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Answer:

Snell's law says that

n1*sin(a1) = n2*sin(a2)

n1 < n2

son n2/n1 > 1

then:

sin(a1) = (n2/n1)sin(a2)

the maximum possible value of sin(x) is 1 when x =90°

total internal reflection means that a2= 90°

but as the coefficient that is multiplying sin(a2) is bigger than 1, we can not have a2 = 90°, because the right side will be greater than 1 and the left side can not be bigger than 1, so we can not have a2 = 90°, so we can not have total internal reflection

The maximum possible value of sin(x) is 1 when x =90°total internal reflection means that a2= 90°.

Snell's law asserts that the ratio of the sines of the angle of incidence 1 and angle of refraction 2 for a given set of media is equal to the ratio of phase velocities (v1 / v2) in the two media, or equivalently, the refractive indices (n2 / n1).

If n1*sin(a1) = n2*sin(a2) and n1 n2 son n2/n1 > 1 according to Snell's law, then:

(n2/n1)sin = sin(a1) (a2)

When x =90°, the maximum feasible value of sin(x) is 1.

Total internal reflection indicates a2=90°, but because the coefficient multiplying sin(a2) is more than 1, we can't have a2 = 90° because the right side will be greater than 1 and the left side will be smaller than 1, therefore we can't have a2 = 90°. so we dont have total reflection.

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Answer:

104 km

Explanation:

Displacement = Velocity x Time

                       = 13 x 8

                       = 104 km

Answer:

1.12 N

Explanation:

Let the masses be m and M and distance be d . Force between them is .28 N .

Applying Newton's law of Gravitation

.28 = G x m M / d²

distance is halved , so distance becomes d /2

Force of attraction = G m M / ( d/2)²

= 4 Gm M / d²

= 4 x .28

= 1.12 N .

The force of attraction be if the distance between these masses is halved is equal to 1.12 N.

To calculate the gravitational force of attraction it is necessary to use the following relationship:

                                          \(F_{g} = G \frac{M \times m}{d^{2}}\)

Thus, with the value given by the question, we have that:

                                          \(0.28 N = G \frac{M \times m}{d^{2}}\)

When the distance is divided in half we will have:

                                         \(F_{g} = G \frac{M \times m}{(d/2)^{2}}\)

                                        \(F_{g} = G \frac{M \times m}{d^{2}/4}\)

                                        \(F_{g} = 4\times G \frac{M \times m}{d^{2}}\)

                                       \(F_{g} = 4 \times 0.28 = 1.12 N\)

So, the force of attraction be if the distance between these masses is halved is equal to 1.12 N.

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Answer:

the small angle measurement from the central maximum is

Explanation:

The computation of the small angle measurement is as follows:

The constructive interference condition is

\(d \sin \theta = m \lambda \\\\Now \\\\\theta = sin^{-1} (\frac{\lambda}{d}) \\\\= sin^{-1}(\frac{610\times10^{-9}}{0.0250\times10^{-3}} )\\\\= 1.40^{\circ}\)

hence the small angle measurement from the central maximum is \(1.40^{\circ}\)