If Amanda runs 30 kilometers in 3 hours, how fast is she going? (type which formula you are using (1pt), what numbers you are dividing or multiplying (1pt) and then show your answer with correct units

Answer:

The ocean

Explanation:

Answer:

stationary in an electric field.

moving perpendicular to a magnetic field.

moving perpendicular to an electric field.

Explanation:

Negative charge: In physics, the term "negative charge" is defined as a phenomenon that consists of a surplus or different electrons in any field i.e magnetic or electric field.

However, the correct answer in the question above, would be:

"stationary in an electric field".

"moving perpendicular to a magnetic field".

"moving perpendicular to an electric field".

An open-tube manometer is a device used to measure the pressure difference between two points in a fluid, such as in a pipe or a tank. It consists of a U-shaped tube partially filled with a liquid, typically water or mercury, and open to the atmosphere on one or both ends. Here's a simple diagram and explanation of how an open-tube manometer works:

Open-tube manometer diagram

In this diagram, the open-tube manometer is connected to a pipe carrying a fluid whose pressure difference we want to measure. The left side of the manometer is open to the atmosphere, while the right side is connected to the pipe.

To measure the pressure difference, we first fill the manometer with a liquid, such as water or mercury, until the liquid level is the same on both sides of the U-tube. Let's assume the liquid is water and the fluid in the pipe is at a higher pressure than the atmosphere. As the fluid flows into the right side of the manometer, it pushes the water down, creating a difference in liquid levels in the two arms of the manometer. The height difference, h, between the two liquid levels is proportional to the pressure difference between the fluid in the pipe and the atmosphere.

Using the equation for pressure in a fluid, we can relate the pressure difference, ΔP, to the height difference, h, and the density of the liquid, ρ, as follows:

ΔP = ρgh

where g is the acceleration due to gravity. So, by measuring the height difference, h, and knowing the density of the liquid, we can calculate the pressure difference, ΔP.

Note that the direction of the pressure difference depends on the direction of the flow. If the fluid in the pipe is at a lower pressure than the atmosphere, the water level in the left arm of the manometer will be higher than that in the right arm, and the height difference, h, will be negative.

Overall, an open-tube manometer is a simple and effective device for measuring pressure differences in fluids.

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The temperature difference between the wooden wall is 16⁰C, and the heat current per square metre of the wall is 7,325 W/m².

The temperature difference between the wooden wall is calculated as follows;

\(\frac{dQ_A}{dt } = \frac{dQ_B}{dt} \\\\\frac{K_A \Delta T_A \times A}{L_A} = \frac{K_B \Delta T _B \times A}{L_B}\\\\\frac{K_A \Delta T_A }{L_A} = \frac{K_B \Delta T _B}{L_B}\\\\\frac{0.5 \times 20}{0.1} = \frac{0.125 \times \Delta T _B }{0.02} \\\\100 = 6.25\Delta T _B\\\\\Delta T _B = \frac{100}{6.25} \\\\\Delta T _B = 16 \ ^oC\)

Q = KL(ΔT)

Q = 0.5 x 0.1 x (20 + 273)

Q = 14.65 W

QA = W/A

QA = (14.65)/A

QA = 14.65/0.002

QA = 7,325 W/m²

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An individual on a motorboat with a top speed of 10 km/h wants to travel across a 2 km wide river to a location that is exactly opposite the beginning spot. The time required for crossing the river is approximately 12.4 minutes.

To calculate the time required for crossing the river, we can use the formula:

time = distance/speed

Let's call the speed of the boat in still water "v" and the speed of the river "u". The boat is moving at its maximum speed in still water, so its speed relative to the shore is also "v" km/h.

Now, to cross the river, the boat must move at an angle to the shore to compensate for the sideways drift caused by the river current. We can use trigonometry to determine the composition of the boat's speed in the direction perpendicular to the river, which is the distance that the boat covers while crossing the river.

The component of the boat's speed perpendicular to the river is given by:

v_perp = v * sin(theta)

where theta is the angle between the boat's path and the direction of the current, and sin(theta) is the sine of this angle.

Since the boat is moving at its maximum speed, v = 10 km/h, and the speed of the river is u = 6 km/h, we can use trigonometry to find the angle theta:

sin(theta) = u / v = 6 / 10 = 0.6

theta = sin^-1(0.6) = 36.87 degrees

Now we can find the distance that the boat covers while crossing the river:

distance = 2 km * sin(theta) = 1.2 km

The time required to cover this distance at the boat's maximum speed is:

time = distance / v_perp = 1.2 km / (10 km/h * sin(36.87)) = 0.206 hours

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You will likely need to push a swing with two twin brothers on it more frequently than when pushing the swing with one on it,

To answer  how often do you need to push a swing with two twin brothers on it compared to when pushing the swing with one on it, let's consider the following steps:

1. First, understand that the frequency of pushing the swing will depend on the combined weight of the twins and the force applied during each push.
2. When pushing a swing with one twin on it, you will need less force to achieve the same height as with two twins, as there is less weight to move.
3. When pushing a swing with two twins on it, you will need to apply more force to achieve the same height as with one twin, since there is more weight to move.
4. As a result, the frequency of pushing the swing with two twins will likely be higher compared to when pushing the swing with one twin, as you need to apply more force more often to maintain the same swinging motion.

In summary, you will likely need to push a swing with two twin brothers on it more frequently than when pushing the swing with one on it, as there is more weight to move and more force required to maintain the same swinging motion.

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According to  Taylor Series, The Answer is False.

If p(x) is the Taylor series for f centered at 0, then it is valid only for values of x near 0. If we substitute x - 1 into the Taylor series for p(x), we get a new function:

 \(p(x-1) = f(0) + f'(0)(x-1) + (1/2)f''(0)(x-1)^2 +\)...

This new function is the Taylor series for f(x) centered at x = 1, not at x = 0. Therefore, p(x-1) is not necessarily a valid Taylor series for f(x) centered at 0.

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A cyclotron that uses a magnetic field of 0.450 T within a 2.20 m radius to accelerate protons has:

(a) the cyclotron frequency is approximately 4.42 x 10^7 Hz.

(b)  the maximum speed is approximately 3.29 x 10^7 m/s.

(a) The cyclotron frequency is given by the equation:

f = qB/(2πm)

where f is the frequency, q is the charge of the particle, B is the magnetic field, and m is the mass of the particle.

For protons, q = 1.60 x 10^-19 C and m = 1.67 x 10^-27 kg. Substituting these values and the given magnetic field, we have:

f = (1.60 x 10^-19 C)(0.450 T)/(2π)(1.67 x 10^-27 kg) ≈ 4.42 x 10^7 Hz

Therefore, the cyclotron frequency is approximately 4.42 x 10^7 Hz.

(b) The maximum speed acquired by the protons can be found using the equation for the kinetic energy of a particle:

K = 1/2 mv^2

where K is the kinetic energy, m is the mass of the particle, and v is the speed.

In a cyclotron, the magnetic field is used to accelerate the particles in a circular path. The radius of this circular path is given by:

r = mv/(qB)

where r is the radius of the circular path, m is the mass of the particle, v is the speed, q is the charge of the particle, and B is the magnetic field.

Since the protons are accelerated in a circular path, the kinetic energy gained by the particles is converted into an increase in speed. At the maximum speed, the kinetic energy gained by the protons is equal to the potential energy gained in crossing the voltage gap between the dees of the cyclotron. This is given by:

K = qV

where V is the voltage gap between the dees.

Setting K = qV and substituting the equation for r, we have:

qV = 1/2 mv^2

qV = 1/2 m(v^2B^2)/(q^2B^2)

qV = 1/2 mv^2/(qB)

v = (2qV)/(mB^2)

Substituting the given values, we have:

v = (2)(1.60 x 10^-19 C)(10 kV)/(1.67 x 10^-27 kg)(0.450 T)^2 ≈ 3.29 x 10^7 m/s

Therefore, the maximum speed acquired by the protons is approximately 3.29 x 10^7 m/s.

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By considering the relationship between impulse and momentum, we can show that the average force exerted by the seat belt on the dummy is 18,750 N.

The law state that the rate of change of momentum is directly proportional the force applied.

Given that a car carrying a 75-kg test dummy crashes into a wall at 25 m/s and is brought to rest in 0.1 s. The impulse of the car will be equal to its momentum. That is,

Ft = mv

Where

Substitute all the parameters into the equation given above.

0.1 F = 75 × 25

0.1F = 1875

F = 1875/0.1

F = 18750 N

Therefore, It is shown that the average force exerted by the seat belt on the dummy is 18,750 N.

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According to the question it took the plane 675 seconds (11 minutes and 15 seconds) to travel 3.2 km.

Travel is the act of moving from one place to another, either for leisure or business purposes. It is often associated with exploration and discovery, as well as the opportunity to experience new cultures, cuisines, and landscapes.

The velocity of the plane relative to the ground is the vector sum of the air velocity (3.0 m/s [E]) and the wind velocity (1.75 m/s [25° W of S]).

The vector sum can be calculated using the Law of Cosines and the Law of Sines.

Using the Law of Cosines, we can calculate the magnitude of the vector sum:

|v| = √(3.0 m/s)2 + (1.75 m/s)2 - 2(3.0 m/s)(1.75 m/s)cos(25°)

|v| = 4.73 m/s

Using the Law of Sines, we can calculate the angle of the vector sum:

sin(θ) = (1.75 m/s)sin(25°) / 4.73 m/s

θ = 20.9°

Therefore, the velocity of the plane relative to the ground is 4.73 m/s [20.9° W of S].

To find the time it took the plane to travel 3.2 km, we can use the equation:

t = d / v

where t is the time in seconds, d is the distance in meters, and v is the velocity in m/s.

t = 3200 m / 4.73 m/s

t = 675 s

Therefore, it took the plane 675 seconds (11 minutes and 15 seconds) to travel 3.2 km.

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The two vectors [\(-\frac{7}{3}\), 0, 1] and [0, 1, 0] serve as a basis for the subspace.

To find a basis for the subspace of ℝ³ consisting of all vectors [x₁ x₂ x₃] such that -3x₁ - 7x₂ - 2x₃ = 0, we need to find a set of vectors that satisfy this equation and spans the subspace.

We can rewrite the equation as a linear combination: -3x₁ - 7x₂ - 2x₃ = 0.

To find a basis, we can set one of the variables (x₁, x₂, or x₃) as a parameter and express the other variables in terms of that parameter.

Let's set x₃ = t (a parameter).

From the equation -3x₁ - 7x₂ - 2x₃ = 0, we can solve for x₁ and x₂ in terms of t:

-3x₁ - 7x₂ - 2t = 0

-3x₁ = 7x₂ + 2t

\(x_1 = -\frac{7}{3}x_2 - \frac{2}{3}t\)

Now we can express the vector [x₁ x₂ x₃] in terms of our parameter t:

\(\[ [x_1 \, x_2 \, x_3] = \left[ \frac{-7}{3} t, x_2, t \right] = t \left[ \frac{-7}{3}, 0, 1 \right] + x_2 \left[ 0, 1, 0 \right] \]\)

Therefore, a basis for the subspace is given by the two vectors [\(-\frac{7}{3}\), 0, 1] and [0, 1, 0].

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Answer:

The pressure of the air in the tyre is 20 kPa

Explanation:

The parameters for the bicycle pump and tyre are;

The volume of air contained in the bicycle pump, V₁ = 20 cm³

The pressure of the air contained in the bicycle pump, P₁ = 100 kPa

The volume (available) of the tyre, where the air is pumped, V₂ = 100 cm³

Let P₂ represent the pressure in the tyre after the air is pumped

By Boyle's law, we have that at constant temperature, the volume of a given mass of gas is inversely proportional to its pressure;

Mathematically, Boyle's law gives the following equation;

P₁ × V₁ = P₂ × V₂

∴ P₂ = (P₁ × V₁)/V₂

Substituting the known values gives;

P₂ = (100 kPa × 20 cm³)/(100 cm³)

∴ P₂ = 100 kPa × 1/5 = 20 kPa

P₂ = 20 kPa

The pressure of the air in the tyre = P₂ = 20 kPa.

Answer:

Explanation:

The mass of the object can be found by using the formula

\(m = \frac{f}{a} \\ \)

f is the force

a is the acceleration

From the question we have

\(m = \frac{6}{12} = \frac{1}{2} \\ \)

We have the final answer as

Hope this helps you

m = f/a

6 / 12 = 0.5

answer - 0.5

The atomic mass units of muon which has a mass of 106 MeV/c2 is approximately: 0.113 atomic mass units (amu).

To convert the mass of a muon from MeV/c² to atomic mass units, we need to use the relationship between mass and energy expressed by Einstein's famous equation, E=mc².

We can rearrange this equation to solve for mass, which gives us m=E/c².

First, we convert the mass of the muon from MeV/c² to kg using the conversion factor 1 MeV/c² = 1.78 x 10^-30 kg, which gives us:
m = 106 MeV/c² x (1.78 x 10^-30 kg/MeV/c²) = 1.89 x 10^-28 kg

Next, we can convert the mass in kg to atomic mass units (amu) using the conversion factor 1 amu = 1.66 x 10^-27 kg:
m = (1.89 x 10^-28 kg) / (1.66 x 10^-27 kg/amu) = 0.113 amu

Therefore, the mass of a muon is approximately 0.113 atomic mass units.

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The two things that must exist for an electric current to be produced are:

An electric potential between two bodies and a conducting path joining the bodies.

This comes from the fact that when there is a potential difference there is an electrical field and hence a force that makes some free charges to move in the conductor. For this reason, there's an electrical current.

Answer: An electric potential between two bodies and a conducting path joining the bodies

The magnitude of the force of attraction between Star and Tony, given that they are 20 m apart is 5.84×10¯¹⁰ N

From the question given above, the following data were obtained:

Applying the Newton's law of universal gravity formula, we can obtain the magnitude of the force of attraction between Star and Tony as illustrated below:

F = GM₁M₂ / r²

F = (6.67×10¯¹¹ × 70 × 50) / 20²

F = 0.00000023345 / 400

F = 5.84×10¯¹⁰ N

Thus, from the above calculation, we can conclude that the magnitude of the force between them is 5.84×10¯¹⁰ N

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The handle of a metal spoon submerged in boiling soup feels hot due to the process of heat transfer. Heat energy travels from the hot soup to the metal spoon through a process called conduction. In this process, the hot molecules of the soup transfer their energy to the metal molecules of the spoon, which then vibrate rapidly and increase in temperature.

As the spoon gets hotter, some of the heat energy is conducted through the handle, making it feel hot to the touch. Additionally, metals are good conductors of heat, meaning they can easily transfer heat energy from one area to another. This makes the handle of the metal spoon particularly susceptible to becoming hot when submerged in a hot liquid.

In summary, the handle of a metal spoon submerged in boiling soup feels hot because of the transfer of heat energy from the hot soup to the metal spoon through the process of conduction, and the good heat conductivity of the metal material.

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Answer:

the layers of atmosphere are heated through radiation and convection.

Explanation:

Answer:

Systems always tend toward a state of decreasing order unless more energy is provided into the system to counteract this tendency.

Answer:

1 is the y intercept

Explanation:

the y intercept is where the line crosses the y axis

Answer:

1

Explanation:

The straight line intercepts to the y coordinate at 1. This line is not proportional because it doesn't go through the origin (0,0).

Answer:

C. 3.2 x 10^8 Ω•m

Explanation:

An insulator is a material that resists the flow of electricity.

In the given data the material with the highest resistivity is the best insulator

3.2 x 10^8 Ω•m

The correct answer is B. Different observers must always agree on the order in which all events happen, but can disagree on whether they happen at the exact same time.

Special relativity, as formulated by Albert Einstein, introduced the concept that the order in which events occur is not absolute but can be relative to different observers.

However, there is a fundamental principle in special relativity known as causality, which states that the order of cause and effect must be preserved.

This means that if one event can causally influence another event, all observers must agree on the order of these causally connected events.

However, special relativity also introduced the concept of relative simultaneity, which means that different observers moving relative to each other can have different perceptions of whether two events happen at the exact same time.

This is due to the relativity of time and the fact that the notion of "simultaneity" depends on the observer's reference frame.

Therefore, different observers can disagree on the simultaneity of events, but they must agree on the overall order in which events happen, especially if they are causally connected.

So, option B is correct: Different observers must always agree on the order in which all events happen, but can disagree on whether they happen at the exact same time.

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The opposite direction is exerted on the object, so that the forces camel The object is is brought to rest rapidly.

Direction is a term used to describe the way something is moving or pointing. It is often used in reference to the orientation of objects, or the path something is taking. Direction can be described in terms of three-dimensional coordinates, including length, width, and height. Direction can also be described in terms of four cardinal directions (north, south, east and west), and eight ordinal directions (north-east, south-east, south-west and north-west). Direction can also be expressed in terms of angles and compass bearings. Direction is an important part of navigation, and is used to calculate distances. It is also essential for planning journeys and understanding the environment.

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Answer:

refraction

Explanation:

When the wave moves from medium 1 to medium 2, then the wave gets refracted. Then the correct option is C.

A wave is an energetic disturbance in a medium that doesn't include any net particle motion. Elastic deformation, a change in pressure, an electric or magnetic intensity, an electric potential, or a change in temperature are a few examples.

A wave is a dynamic disturbance of one or more variables that propagates in physics, geometry, and related sciences. When waves oscillate frequently around an equilibrium value at a certain frequency, they are said to be periodic.

The bending of waves as they go from one substance to another is known as wave refraction. It bends when the wave enters a new material because the wave's speed changes. The optical density or index of refraction of the material affects how light waves bend.

Thus, the correct option is C.

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The missing options are given below.

absorption

diffraction

refraction

reflection

If a fish looks upward at 45 degrees with respect to the water's surface, it will see option a, the sky and possibly some hills.

When a fish looks upward at a 45-degree angle with respect to the water's surface, it will see the sky and possibly some hills. This is because light rays refract when they pass from one medium to another with different optical densities.

As light travels from air to water, it slows down, and its path bends towards the normal, which is perpendicular to the water's surface. This bending of light is called refraction. When the fish looks upwards, it sees the light that has been refracted by the water, and this light carries information about the sky and the surrounding landscape.

However, the amount of refraction depends on the angle of incidence of the light ray, so the fish will not see the entire sky but only a portion of it. At a 45-degree angle, the fish will see a wider view of the sky and possibly some hills, depending on the surrounding topography. Therefore, the fish will not see the bottom of the pond, which is below its line of sight.

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Answer:

The ball has a potential energy of 53 J.

Explanation:

Mechanical energy, E = Kinetic energy + Potential energy

E = K.E + P.E

65 = 12 + P.E

P.E = 65 – 12

P.E = 53 J

Therefore the potential energy of the ball is 53 J

Answer:

53

Explanation:

on e2021

The constant 1.06 reveals that the rate of change of the quantity is a continuous increase of 6% per hour

The constant 1.06 in the function f(t) = 8800(1.06)^t represents the growth factor or rate of change of the quantity. Specifically, it reveals the percentage increase in the quantity per unit of time (in this case, per hour).

In the given function, the base of the exponential term is 1.06. This means that for every unit of time (t), the quantity is multiplied by a factor of 1.06.

The constant 1.06 represents a growth rate of 6% per hour. This indicates that the quantity is increasing by 6% each hour.

By multiplying the previous value of the quantity by 1.06, the function accounts for continuous growth at a constant rate.

The exponent t determines the number of hours the growth has occurred. As t increases, the quantity undergoes exponential growth based on the rate of 6% per hour.

Therefore, the constant 1.06 reveals that the rate of change of the quantity is a continuous increase of 6% per hour.

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Motion of car from market 40 m in one direction then after shopping, she drives the car back to her house 40 m in the opposite direction. he total displacement is 0 meter.

The phenomenon of an item changing its position with respect to time is known as motion in physics. In mathematics, displacement, distance, velocity, and acceleration are used to explain motion.

Displacement is change in distance between two points.

Motion of car from market 40 m in one direction then after shopping, she drives the car back to her house 40 m in the opposite direction. he total displacement is 0 meter.

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