Place a sensor near a single + or - charge. The arrow shows the direction of force on the sensor. What happens to the force as you get close to the charge?

Answer:

\(v_{1} = 19 m/s\)

Explanation:

\(v_{1} = \frac{(v_{2} + u)}{2}\), where \(v_1\) = avg. velocity, \(v_2\) = final velocity, and \(u\) = initial velocity.

Answer:

35 N to the left

Explanation:

Do 65 minus 30, and you get 35 N to the left

Because force is a vector quantity, you have to mention both magnitude and direction in your answer.

The magnitude of the net force required to bring the mass to a stop is 25 N

The mass, m = 40.0 kg

The initial velocity, u = 5.0 m/s

Since the mass comes to a stop in 8.0 seconds

The final velocity, v = 0 m/s

The time, t = 8.0 seconds

The magnitude of the netforce is given by the formula:

The magnitude of the net force required to bring the mass to a stop is

25 N

The potential energy is at the maximum when you reach the top of your jump on a trampoline. The correct answer is option B.

Potential Energy is the type of energy an object possesses by virtue of its position relative to others, stresses within itself, electric charge, and other factors. Potential energy exists in various forms, including gravitational potential energy, elastic potential energy, chemical potential energy, and electrical potential energy.

This type of energy can be converted into another type of energies. Examples, a charged battery has potential energy and it can be used as electrical potential energy. Petrol, diesel and and gas have chemical potential energy and be used as kinetic energy.

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Answer:

One of the waves that are propagated by simultaneous periodic variations of electric and magnetic field intensity and that include radio waves, infrared, visible light, ultraviolet, X-rays, and gamma rays.

Explanation:

The magnitude of the magnetic force on a proton is 1.68 ✕ 10^−16 N, directed towards the negative y-direction. The magnitude of the magnetic force on an electron is also 1.68 ✕ 10^−16 N, but directed towards the positive y-direction.

Begin by using the formula for the magnetic force on a charged particle moving in a magnetic field:

F = q * v * B * sin(θ)

where F is the magnetic force, q is the charge of the particle, v is the velocity of the particle, B is the magnetic field strength, and θ is the angle between the velocity vector and the magnetic field vector.

For a proton, the charge is +e, where e is the elementary charge (1.6 ✕ 10^−19 C). The velocity of the proton is given as 3.99 ✕ 10^5 m/s in the positive x-direction. The magnetic field strength is 2.93 ✕ 10^−8 T in the positive z-direction.

The angle θ between the velocity vector and the magnetic field vector is 90 degrees since the velocity is perpendicular to the magnetic field.

Substituting the values into the formula, we get:

F_proton = (+e) * (3.99 ✕ 10^5 m/s) * (2.93 ✕ 10^−8 T) * sin(90°)

F_proton ≈ 1.68 ✕ 10^−16 N

Since the proton has a positive charge, the magnetic force is directed opposite to the direction of electron flow, which is in the negative y-direction.

Repeat the steps for an electron, but note that the charge is -e. The direction of the force on an electron will be opposite to that of a proton.

F_electron = (-e) * (3.99 ✕ 10^5 m/s) * (2.93 ✕ 10^−8 T) * sin(90°)

F_electron ≈ -1.68 ✕ 10^−16 N

The force on an electron is also 1.68 ✕ 10^−16 N, but directed towards the positive y-direction.

Remember to consider the proper units and take into account the directions of charge, velocity, and magnetic field when calculating the magnetic force on a charged particle.

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Answer:

The location of the survey is biased.

Explanation:

If someone left a movie theater, it is most likely because he likes watching movies there. A better place to interview would be on the streets, as it’s less biased there

Answer:

It will be D/ The location of the survey introduced bias!

Explanation:

Answer:

it is B

Explanation:

Answer:

The velocity of the box is related to the angular velocity of the spool, which is given by the equation:

v = r * ω

where r is the radius of the spool and ω is the angular velocity of the spool. The angular velocity of the spool, in turn, is related to the torque applied to the spool by the tension in the string, which is given by the equation:

τ = I * α

where τ is the torque, I is the moment of inertia of the spool, and α is the angular acceleration of the spool.

The tension in the string is equal to the weight of the box, which is given by:

T = m * g

Putting all of these equations together, we can solve for the time it takes for the box to reach the floor. Here's how:

First, we can find the angular acceleration of the spool using the torque equation:

τ = I * α

T = m * g = τ

m * g = I * α

α = (m * g) / I

α = (35.30 kg * 9.81 m/s^2) / 4.00 kg*m^2

α = 86.53 rad/s^2

Next, we can find the angular velocity of the spool using the kinematic equation:

ω^2 = ω_0^2 + 2 * α * θ

where ω_0 is the initial angular velocity (which is zero), θ is the angle through which the spool has turned (which is equal to the distance the box has fallen divided by the radius of the spool), and ω is the final angular velocity (which is what we want to find). Solving for ω, we get:

ω^2 = 2 * α * θ

ω = sqrt(2 * α * θ)

ω = sqrt(2 * 86.53 rad/s^2 * (3.50 m / 0.10 m))

ω = 166.6 rad/s

Finally, we can find the time it takes for the box to reach the floor using the equation:

v = r * ω

v = 0.10 m * 166.6 rad/s

v = 16.66 m/s

t = d / v

t = 3.50 m / 16.66 m/s

t = 0.21 s

The length of the new runway In terms of (L) is 4L.

Your question is incomplete, it seems your question is missing the following information below;

"In terms of (L) , what must be the length of the new runway?"

The given parameters;

For the newly designed planes;

the take off speed is double of the original = 2V₁

the acceleration for both take is constant = a

The take off speed for the given constant acceleration is given as;

\(v^2 = u^2 + 2as\\\\v^2 = 0 + 2as\\\\v^2 = 2as\\\\a = \frac{v^2}{2s} \\\\\)

The length of the new runway In terms of (L) is calculated as follows;

\(a = \frac{v_1^2}{2s_1} = \frac{v_2^2}{2s_2} \\\\substitute \ the \ corresponding \ values \ for \ initial \ acceleration \ and \ new \\acceleration\\\\\frac{v_1^2}{2L} = \frac{(2v_1)^2}{2s_2}\\\\2s_2v_1^2 = 2L(4v_1^2)\\\\s_2 = \frac{2L(4v_1^2)}{2v_1^2} = \frac{8Lv_1^2}{2v_1^2} = 4L\)

Thus, the length of the new runway In terms of (L) is 4L.

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Answer:

According to Albert Einstein's equation, E = m·c², matter and energy are fundamentally related

Events that involve matter and energy that can be explained includes;

The boiling of water in a kettle

The rebound of objects including water after falling

The sound made by airplane and helicopters

Events involving matter and energy that are difficult to explain includes

The cause of the universe that manifest into about matter

The size of the universe

The fundamental object controlling gravity

Decipherable

1) The boiling of water in a kettle; Water boils by the addition of energy that raises the temperature of the particles which result in the forming of vapor as the bonds of the liquid state are broken by the fast moving molecules

2) The rebound of objects including water after falling from a height is proportional to the height from which the object is dropped, due to conservation of energy principle

3) The sound made by airplane and helicopters; This is due the interactions with the air to develop propulsion in the air

Difficult to decipher

1) The cause of the universe that manifest into about matter; The reason behind the formation of the universe is difficult to explain

2) The size of the universe; Will it be possible to know measure a universe

If the universe is measurable, how many universes do we have;

3) The fundamental object controlling gravity; What particle is responsible for gravity and the way if functions

Explanation:

The distance CE is called the altitude of the triangle ABD.

In mathematics, the distance CE is called the altitude of the triangle ABD.

An altitude is a line segment drawn from the vertex of a triangle to the opposite side, and it is perpendicular to that side.The altitude CE divides the triangle into two smaller right triangles, ACE and BCE.

The length of the altitude can be found using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

To find the length of the altitude CE, you would use the Pythagorean theorem on either of the right triangles.

For example, using the right triangle ACE, you would have:

AC² + CE² = AE²

Where AC is the length of one of the legs of the triangle, CE is the length of the altitude, and AE is the length of the hypotenuse.

By rearranging this equation, you can solve for CE:

CE² = AE² - AC²CE = √(AE² - AC²)

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Answer:

- 0.33 m/s

Explanation:

An illustration is shown above,

In this case, since the two objects move in opposite directions before collision, then move together, the formula to be used is,

m1u1 - m2u2 = (m1 + m2)v

Where,

m1 = mass of the first object

u1 = initial velocity of the first object

v1 = final velocity of the first object

m2 = mass of the second object

u2 = initial velocity of the second object

v2 = final velocity of the second object

Therefore,

(4.0 • 3.0) - (8.0 • 2.0) = (4.0 + 8.0)v

12 - 16 = 12v

-4 = 12v

Divide both sides by 12,

-4 / 12 = 12v / 12

-1 / 3 = v

v = -0.33 m/s

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Answer:

2.5m/s^2

Explanation:

Note that the boat is reducing its speed. It is having negative acceleration or deceleration.

V^2 = u^2 -2as ( minus sign is used because of speed is reduced)

Given that,

s = 12 m

v = 5.5 m/s

u = 9.5 m/s

a = (v^2 - u^2) ÷ (-2s)

a= ( 5.5^2 - 9.5^2) ÷ ( -2× 12)

a = 2.5 m/s^2

The acceleration of the boat is -2.5 m/s²

The given paramters;

distance traveled by the boat, d = 12 m

initial velocity of the boat, u = 9.5 m/s

final velocity of the boat, v = 5.5 m/s

The acceleration of the boat is calculated as;

\(v^2 = u^2 + 2as\\\\2as = v^2 - u^2\\\\a = \frac{v^2 - u^2}{2s} \\\\a = \frac{(5.5)^2 -(9.5)^2 }{2(12)} \\\\a = -2.5 \ m/s^2\)

Thus, the deceleration of the boat is 2.5 m/s²

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The electric field is given by E = F/q or E = kq/r^2

The formula for electric field (E) is:

E = F/q

where:

E is the electric field strength, measured in newtons per coulomb (N/C)

F is the electric force acting on the charge, measured in newtons (N)

q is the magnitude of the charge, measured in coulombs (C)

Alternatively, the electric field can also be expressed in terms of the distance (r) between the charges, using the formula:

E = kq/r^2

where:

k is Coulomb's constant, which has a value of 9 x 10^9 Nm^2/C^2

q is the magnitude

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The diagram of the electromagnetic spectrum representing the targeted wavelength is attached below.

Electromagnetic spectrum represents the complete range of all the wavelengths of radiations that travel in the form of waves, containing both electric and magnetic fields.

The wavelengths of visible light span from 400 nm to 700 nm. The wavelength and frequency of violet light are 400 nm and 7.5×10¹⁴ Hz, respectively. The wavelength and frequency of red light are 700 nm and 4.3×10¹⁴ Hz, respectively.

Infrared light, microwaves, radio waves, and television waves are examples of electromagnetic waves with longer wavelengths and lower frequency.

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The magnitude of the frictional force that must be overcome is 42.04 N.

The magnitude of the frictional force that must be overcome is calculated by applying Newton's second law of motion as follows;

Mathematically, the formula for the frictional force is given as;

F = μmg

where;

The magnitude of the frictional force that must be overcome is calculated as;

F = 0.39 x 11 kg  x  9.8 m/s²

F = 42.04 N

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56.1∘

Question: A glass is half-full of water, with a layer of vegetable oil (n = 1.47) floating on top. A ray of light traveling downward through the oil is incident on the water at an angle of 56.1∘ .

A glass is half-full of water, with a layer of vegetable oil (n ...https://study.com › academy › answer › a-glass-is-half-ful...

If It undergoes a displacement of Δ=−6.69 m the squirrel's final position would be f = - 3.32 m.

Displacement is a vector quantity. This indicates that it has both a direction and a magnitude and that it is visually represented as an arrow that points from the starting position to the ending position.

As given in the problem a squirrel runs along an overhead telephone wire that stretches from the top of one pole to the next. It is initially at position i=3.37 m, as measured from the center of the wire segment. It then undergoes a displacement of Δ=−6.69 m,

displacement = final position - initial position

−6.69 m = f - 3.37 m

f = - 6.69m + 3.37 m

 = - 3.32 m

Thus, the squirrel's final position would be f = - 3.32 m.

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The moment of inertia (I) will changes and net torque (Tnet) will also change, while the angular acceleration (a) remains constant.

The formula for net torque acting on an object is given as;

T(net) = Ia

where;

The  moment of inertia of an object is given as;

I ∝ MR²

where;

So mass, M changes, the moment of inertia (I) changes and net torque will also change, while the angular acceleration remains constant.

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Even before the advent of the telescope, ancient astronomers were able to observe the following:

1. Celestial Bodies: Ancient astronomers could observe celestial bodies such as the Sun, Moon, stars, and planets. They could track their movements across the sky and study their patterns and behaviors.

2. Solar and Lunar Eclipses: By carefully observing the positions of the Sun, Moon, and Earth, ancient astronomers could predict and witness solar and lunar eclipses. They noticed that during a solar eclipse, the Moon blocks the Sun's light, creating a temporary darkness on Earth, while during a lunar eclipse, the Earth casts a shadow on the Moon, causing it to appear reddish or darkened.

3. Stellar Positions: Ancient astronomers mapped and observed the positions of stars in the night sky. They recognized patterns and constellations, which helped them navigate and keep track of time.

4. Seasons and Celestial Movements: By observing the changing positions of the Sun and its daily and yearly motions, ancient astronomers could understand the changing seasons. They could determine solstices, equinoxes, and the length of days and nights.

5. Comet Appearances: Ancient astronomers were able to observe and document the appearance of comets in the night sky. They recognized these celestial objects as distinct from stars and noted their unusual and transient nature.

These observations formed the basis of ancient astronomy and laid the groundwork for the development of more advanced astronomical techniques and instruments, including the telescope.

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The acceleration can be calculated using the formula:

Acceleration = (Final velocity - Initial velocity) / Time taken

Given that the bus starts from rest, the initial velocity is 0 m/s.

Acceleration = (20 m/s - 0 m/s) / 21 sec = 20/21 m/s².

The distance travelled at maximum speed can be calculated by subtracting the distances covered during acceleration and deceleration from the total distance.

Distance during acceleration = (1/2) * acceleration * time² = (1/2) * (20/21 m/s²) * (21 sec)² = 210 m.

Distance during deceleration is the same as distance during acceleration.

Distance travelled at maximum speed = Total distance - 2 * distance during acceleration = 270 m - 2 * 210 m = -150 m.

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The total distance is 105 kilometers and the total displacement is 15 kilometers east. Option C

To calculate the total distance, we add the distances traveled in each leg of the journey: 60 kilometers (from A to B) + 45 kilometers (from B back to A) = 105 kilometers.

However, displacement refers to the change in position of an object in a straight line from its starting point to its ending point. In this case, since the boat starts and ends at the same point (A), the total displacement is zero.

Hence The total distance is 105 kilometers and the total displacement is 15 kilometers east.

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Answer:

0.5+690=690.5

Explanation:

Answer:

a) Connect a series resistance of 8,47 ohms

b)14,16 [A]

c) r = 10,96 ohms

Explanation:

My blower requires 120 (v) then, I have to connect a series resistor to make the nominal 240 (v) of the European voltage outlet drop to 120 (V) but at the same time keep the level of current to operate my blower

In America

P = V*I

1700 (w) = 120*I

I = 1700/120 [A]

I = 14,16 [A]        current needed for the blower

In Europe

120 (v)  (the drop of voltage I need) when a current of 14,16 passes through to series  resistor is

V = I*R          120 = 14,16* R         R = 8,47 ohms

c) P = I*r²

1700 (w) = 14,16 (A) * r²

r² = 120,06

r = 10,96 ohms

Special relativity and general relativity are both theories proposed by Albert Einstein. Special relativity deals with the laws of physics in the absence of gravity, while general relativity extends special relativity to include gravity and explains the curvature of spacetime caused by mass and energy.

Special relativity, proposed in 1905, deals with the laws of physics in the absence of gravitational fields. It introduces the concepts of time dilation and length contraction, stating that the laws of physics are the same for all observers moving at constant speeds relative to each other.

One piece of evidence supporting special relativity is the famous Michelson-Morley experiment, which failed to detect the existence of the hypothetical luminiferous aether.

On the other hand, general relativity, formulated in 1915, is an extension of special relativity that incorporates gravity. It postulates that gravity arises from the curvature of spacetime caused by mass and energy. General relativity explains the motion of celestial bodies, the bending of light in the presence of massive objects, and phenomena like black holes.

One piece of evidence supporting general relativity is the observed gravitational redshift, where light emitted from a source in a strong gravitational field is shifted to longer wavelengths.

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15.9 N

Explanation:

Let's assume that the downward direction on the inclined is the (+)-direction. Since the block is in equilibrium, the x-component of its weight is pointing in the +x-direction and the frictional force \(f_s\) is pointing up the incline. So the net force acting parallel to the incline can be written as

\(mg\sin36 - f_s = 0 \Rightarrow \mu N = mg\sin36\)

where N is the normal force.

The net force perpendicular to the incline can be written as

\(N - mg\cos36 = 0 \Rightarrow N = mg\cos36\)

or

\(N = (2\:\text{kg})(9.8\:\text{m/s}^2)\cos36 = 15.9\:\text{Newtons}\)

The velocity of this automobile as a function of time. At t = 5 seconds, the automobile is 90 meters from its initial position.

To determine the distance traveled by the automobile from its t = 0 initial position, we need to calculate the area under the velocity-time graph up to t = 5 seconds.

The graph shows the velocity of the automobile as a function of time. Let's assume that positive velocity represents forward motion, and negative velocity represents backward motion.

Since velocity represents the rate of change of displacement, the area under the velocity-time graph represents the displacement or distance traveled. In this case, the area will consist of two parts: the area above the x-axis (forward motion) and the area below the x-axis (backward motion).

To calculate the area, we can break it down into two separate integrals:

1. The area above the x-axis (forward motion):

Since the velocity is constant at 20 m/s for the first 4 seconds, the area is a rectangle:

Area1 = velocity * time = 20 m/s * 4 s = 80 m

2. The area below the x-axis (backward motion):

The velocity changes to -10 m/s at t = 4 seconds. From t = 4 seconds to t = 5 seconds, the velocity is -10 m/s. The area is a rectangle:

Area2 = velocity * time = -10 m/s * 1 s = -10 m

To find the total distance traveled, we add the absolute values of the areas:

Total distance = |Area1| + |Area2| = |80 m| + |-10 m| = 80 m + 10 m = 90 m

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An example of convection currents is the movement of air in a room when a heater is turned on. When the heater warms the air in the room, the warm air becomes less dense and rises, creating a convection current. As the warm air rises, cooler air from other parts of the room moves in to replace it, creating a continuous circulation of air. This process is known as natural convection.

Convection currents occur when there is a transfer of heat through the movement of a fluid, either liquid or gas. Here is a step-by-step explanation of convection currents:

Heating: In the example of a room with a heater, the heating element of the heater warms the air in the vicinity.

Expansion: As the air near the heater gets heated, it expands and becomes less dense. This decrease in density makes the warm air rise.

Rising: The warm air rises upward due to its buoyancy. This upward movement creates an area of low pressure near the heater.

Replacement: As the warm air rises, cooler air from other parts of the room moves in to fill the space left by the rising warm air. This cooler air is denser and moves downward.

Circulation: The cycle continues as the warm air rises, cools down, and then descends to be heated again by the heater. This creates a continuous circulation of air, forming convection currents.

Other examples of convection currents include the movement of boiling water in a pot, the circulation of air in the atmosphere resulting in wind patterns, and the movement of magma in the Earth's mantle leading to plate tectonics. Convection currents play a significant role in distributing heat energy and maintaining fluid movements in various natural and artificial systems.

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