an ellipse is the locus of points in a plane such that the sum of the distances from any point in the locus to two points, called the foci, is a .

Explanation:

We can represent the situation with the following figure

Therefore, we need to calculate the magnitude of F1 and F2.

The magnitude of electric force between two charges is equal to

Where k = 8.98 x 10^9, q1 and q2 are the charges and r is the distance between the charges. The distance between the object of charge -4 x 10^(-3) C and the object of charge +1C can be calculated using the Pythagorean theorem as

Therefore, the distance between the charges is 70.71 m.

Then, replacing q1 = -4 x 10^(-3) C, q2 = +1C and r = 70.71 m, on the initial equation, we get:

To calculate F2, we need to replace q1 = +2 x 10^(-3) C, q2 = +1C, and r = 50 m, so

Now, we need to calculate the resultant force, so we need to identify the x and y coordinates of each force and add them

Finally, we can calculate the magnitude and direction of the force as follows

Therefore, the magnitude of the electric force is 5498.40 N and the direction is 22.5 degrees.

The maximum value of x, the distance the firefighter can climb up the ladder without it slipping, is 5.14 m.

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The car can go at a top speed of about 15.49 m/s without skidding.

A car can go at a maximum speed of 54 km/h on a curved road that is banked at an angle of =tan1(0.24). The coefficient of friction between the road and the tyre should be in the case where another road is flat and a vehicle must navigate a curve at its top speed. Both roads have the same radius (Radius).

a = v² / r

a = 12 m/s²

r = 20 m

a = v² / r

12 m/s² = v² / 20 m

240 m/s² = v²

v = sqrt(240) m/s

v ≈ 15.49 m/s

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Hi there!

We can use the following equation for the period of an oscillating spring system:

\(\large\boxed{T = 2\pi \sqrt{\frac{m}{k}}}\)

\(T\) = Period (s)
\(m\) = mass (kg)
\(k\) = Spring Constant (N/m)

Plug in the givens and solve.

\(T = 2\pi \sqrt{\frac{1}{10}} = \boxed{1.987 s}\)

The frequency of light with a wavelength of 655 nm is\(4.57 x 10^14 Hz\) and 515 nm is \(5.82 x 10^14\) Hz and  475 nm is\(6.31 x 10^14 Hz\)

The equation that links the speed of light to wavelength and frequency is

c = λν

Where, c = speed of lightλ = wavelengthν = frequency c is a constant of 2.998 x 10^8 m/s.

Calculating the frequency of light with a wavelength of

655 nm:λ = 655 nm = \(6.55 x 10^-7m\)

Using the above equation, we get

c = λνν = c/λ = \((2.998 x 10^8 m/s)/(6.55 x 10^-7m)ν = 4.57 x 10^14 Hz\)

Therefore, the frequency of light with a wavelength of 655 nm is 4.57 x \(10^14 Hz.\)

Calculating the frequency of light with a wavelength of 515 nm:λ = 515 nm = \(5.15 x 10^-7m\)

Using the above equation, we get

c = λνν = c/λ =\((2.998 x 10^8 m/s)/(5.15 x 10^-7m)ν = 5.82 x 10^14 Hz\)

Therefore, the frequency of light with a wavelength of 515 nm is 5.82 x \(10^14 Hz\).

Calculating the frequency of light with a wavelength of 475 nm:λ = 475 nm = \(4.75 x 10^-7\)m Using the above equation, we get

c = λνν = c/λ = \((2.998 x 10^8 m/s)/(4.75 x 10^-7m)ν = 6.31 x 10^14 Hz\)

Therefore, the frequency of light with a wavelength of 475 nm is 6.31 x \(10^14 Hz.\)

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Answer:

B 1,3, and 4

Explanation:

The polynomial relationship between position and time for the bowling ball is linear.

A linear relationship between two variables is a term used to describe a straight-line relationship between the two variables.

Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b.

From the equation of linear relationship between two variable, the highest power of x is one.

The given equation for position and time;

x(t) = vot + xo

From this given equation, the highest power of t is one, hence it is called linear relationship.

Thus, the polynomial relationship between position and time for the bowling ball is linear.

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Galaxies were originally found to rotate at a rate that was too fast for said amounts of gravity that might be produced by the luminous mass. This led to the discovery of dark matter.

The force that pulls items toward the center of a planetary or other entity is called gravity. Each one of the planets are kept in orbits around the sun by gravity.

Albert Einstein discovered the solution in 1915 when he released his general relativity theories. All entities with mass, including our Earth, really bend and curve spacetime, which is what causes gravity to pull you toward the ground.

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Answer: A dynamo falls under the branch of physics known as electromagnetism or electromagnetic physics. Electromagnetism is the study of the relationship between electricity and magnetism and how they interact with each other.

A dynamo is a device that converts mechanical energy into electrical energy using the principles of electromagnetism. It typically consists of a rotating coil of wire (armature) within a magnetic field. As the coil rotates, the magnetic field induces an electric current in the wire through electromagnetic induction.

The operation of a dynamo involves the application of various electromagnetic principles, such as Faraday's law of electromagnetic induction and Lenz's law. Understanding the behavior and functioning of dynamos requires knowledge of electromagnetism, including the principles of magnetic fields, electric currents, electromagnetic induction, and the relationship between electricity and magnetism.

Therefore, the study and analysis of dynamos and their operation fall within the domain of electromagnetism, a branch of physics.

Explanation:)

For signs of such collisions on the moons of the outer planets, look for craters, ray systems, fissures and fractures, melted or evaporated material, and changes in the moon's surface composition.

Huge fragments of the newly discovered comet Shoemaker-Levy 9 (SL9) collided with Jupiter over a period of days from July 16 to 22, 1994, leaving vast, dark scars in the planet's atmosphere and lofting superheated plumes into its stratosphere.

Dust was also left floating on top of Jupiter's clouds after the collision. The movement of the planet's dust allowed researchers to trace Jupiter's high-altitude winds for the first time.

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When using a dial test indicator (DTI), it is essential to ensure that the gauge is positioned at a right angle to the contact surface for accurate readings.

However, in certain situations, it may be challenging to achieve a perfect right angle alignment. In such cases, adjustments can be made to compensate for the misalignment and obtain accurate measurements.To adjust the DTI reading when the gauge is not positioned at a right angle to the contact surface, the following steps can be taken:Determine the misalignment angle: Measure the angle at which the DTI is misaligned from the right angle position. This can be done using a protractor or by estimating the deviation visually.Calculate the correction factor: Based on the misalignment angle, calculate the correction factor using trigonometric functions such as sine or cosine. The correction factor accounts for the difference between the actual displacement and the displacement measured by the DTI.Apply the correction factor: Multiply the correction factor by the DTI reading to adjust the measurement. This compensates for the misalignment and provides a more accurate reading.It's important to note that adjusting the DTI reading can introduce some degree of error, especially if the misalignment is significant. Therefore, it is always preferable to position the gauge at a right angle to the contact surface whenever possible to obtain the most precise measurements.

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PHYSICS

Mass = 10 kg

Force = 2 N

Acceleration = ____?

Answers :

\(f \: = m \times a\)

2 = 10 × a

2 / 10 = a

0,2 m/s² = a ✅

Answer: It is because we can adjust the speed

A) Therefore, the amount of work performed by heart is \($2.9289 \times 10^{-3} \mathrm{~J}\)

b) Therefore, the power require is \($0.013313 \mathrm{~W}\)

c) Therefore, the efficiency of heart is\($0.2219 \%$.\)

A) Calculate the amount of the work performed by the heart during the systole by using the following relation:

\($$\begin{aligned}W & =\frac{1}{2} m_b v^2 \\& =\frac{1}{2}\left(\rho_b A v\right) v^2 \\& =\frac{1}{2} \rho_b A v^3 \\& =\frac{1}{2} \rho_b\left(\frac{\pi}{4} d^2\right) v^3 \\& =\frac{1}{2} \times 1.057 \times 10^3 \times\left(\frac{\pi}{4} \times(0.029)^2\right) \times(0.2032)^3 \\& =2.9289 \times 10^{-2} \mathrm{~J}\end{aligned}$$\)

Therefore, the amount of work performed by heart is \($2.9289 \times 10^{-3} \mathrm{~J}$.\)

b) Calculate the power during systole by using the following relation:

\($$\begin{aligned}P & =\frac{W}{t} \\& =\frac{2.9289 \times 10^{-3}}{0.22} \\& =0.013313 \mathrm{~W}\end{aligned}$$\)

Therefore, the power require is \($0.013313 \mathrm{~W}$.\)

C) Calculate the efficiency of the heart by using the following relation:

\($$\begin{aligned}\eta & =\frac{P_{\text {out }}}{P_{\text {ov }}} \\& =\frac{0.013313}{6} \\& =0.0022188(0.2219 \%)\end{aligned}$$\)

Therefore, the efficiency of heart is\($0.2219 \%$.\)

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The option that  correctly describes the magnetic fields from the wires in the region between the wires and provide evidence to support this claim is option B The magnetic fields are in opposite directions, because the region is on opposite sides of the wires: to the right of wire 1 and to the left of wire 2.

A full loop is formed by magnetic lines of force. Magnets' opposing poles attract one another while their like poles repel one another. At a magnet's poles, the magnetic lines of force are more dense. Magnetic lines of force that are parallel and move in the opposing directions cancel one another out.

In contrast to the direction of the current, electrons move. This produces a magnetic field with a north and south magnetic pole. Wrapping a single coil of wire around a core, such as an iron nail, is a straightforward approach to make an electromagnet.

Therefore, based on the above, the magnetic field from one wire is in opposition to that from the other because the two currents' directions are in opposition. This implies that the magnetic fields will partially cancel one another.

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See full question below

Wire 1 Wire 2 Long, straight, parallel wires 1 and 2 carry current I in opposite directions, as shown. Which of the following correctly describes the magnetic fields from the wires in the region between the wires and provide evidence to support this claim? A The magnetic fields are in opposite directions, because the currents are in opposite directions. B The magnetic fields are in opposite directions, because the region is on opposite sides of the wires: to the right of wire 1 and to the left of wire 2. с The magnetic fields are in the same directions, because both wires are long and straight. D The magnetic fields are in the same directions, because the currents have the same magnitude. The magnetic fields are in the same directions, because the currents are in opposite directions and are on opposite sides of the wires: to the right of wire 1 and to the left of wire

The new gravitational force between the two planets, when they are moved to two million miles apart, is 250,000 N

The gravitational force between two objects can be calculated using Newton's Law of Universal Gravitation, which states that the force is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

Given:

Initial distance between the planets = 1 million miles

Initial gravitational force = 1,000,000 N

Final distance between the planets = 2 million miles

To determine the new gravitational force, we need to compare the ratios of the distances and apply the inverse square law.

Let's denote the initial distance as d1, the initial gravitational force as F1, the final distance as d2, and the unknown final gravitational force as F2.

According to the inverse square law, the ratio of the gravitational forces is the square of the ratio of the distances:

(F2/F1) = (d1/d2)²

Substituting the given values:

(F2/1,000,000 N) = (1 million miles / 2 million miles)²

Simplifying:

(F2/1,000,000 N) = (1/2)²

(F2/1,000,000 N) = 1/4

F2 = (1/4) * 1,000,000 N

F2 = 250,000 N

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The coefficient of static friction places a limit of approximately 3.42 seconds on the minimum time required for the car to accelerate from rest to 60.0 mph (26.8 m/s).

To find the limit that the coefficient of static friction places on the minimum time required for a car to accelerate from rest to 60.0 mph (26.8 m/s), we need to consider the maximum acceleration the car can achieve due to the friction between the rear tires and the pavement.

The maximum acceleration can be determined using the formula:

a_max = μs * g

where μs is the coefficient of static friction and g is the acceleration due to gravity (approximately 9.8 m/s²).

In this case, since the car's engine only turns the two rear wheels, the maximum acceleration is limited by the friction force between the rear tires and the pavement.

Now, to calculate the minimum time required to accelerate to 60.0 mph (26.8 m/s), we can use the following kinematic equation:

v = u + a * t

where v is the final velocity (26.8 m/s), u is the initial velocity (0 m/s), a is the acceleration, and t is the time.

Rearranging the equation, we have:

t = (v - u) / a

Plugging in the values, we get:

t = (26.8 m/s - 0 m/s) / a_max

t = 26.8 m/s / (μs * g)

Substituting the given value for the coefficient of static friction (μs ≈ 0.800) and the acceleration due to gravity (g ≈ 9.8 m/s²), we can solve for the minimum time required:

t = 26.8 m/s / (0.800 * 9.8 m/s²)

t ≈ 3.42 seconds

Therefore, the coefficient of static friction places a limit of approximately 3.42 seconds on the minimum time required for the car to accelerate from rest to 60.0 mph (26.8 m/s).

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Given :

A baseball Is traveling with a momentum of 6.5kg m/s.

To Find :

The magnitude of the force stopping it If it gets stopped in 0.020 s.

Solution :

We know, force in terms of magnitude is given by :

\(Force = \dfrac{Momentum}{Time\ Taken}\\\\Force = \dfrac{6.5 \ kg\ m/s}{0.020\ s}\\\\Force = 325 \ kg \ m/s^2\)

Therefore, the magnitude of the force stopping it is 325 kg m/s² .

Answer:

\(Vf^2=Vo^2+2aS\\(0m/s)^2=(4.67m/s)^2+(2*-10m/s^2)S\\-(4.67)^2 m^2/s^2=-20m/s^2*S\\S=(21.8089/20) m\\S=1.090445 m\\\)

The term for basic unit of electric current is called the ampere

Electricity is a collection of physical phenomena related to the presence and motion of matter having an electric charge. Both electricity and magnetism are related to the phenomenon of electromagnetic, as defined by Maxwell's equations.

For electricity generation, the three basic forms of energy are fossil fuels (coal, natural gas, and petroleum), nuclear energy, and renewable energy sources. The majority of electricity is produced by steam turbines powered by fossil fuels, nuclear, biofuels, geothermal, and solar thermal energy.

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here are a total of two electrons being shared between the atoms in the H-H bond diagram.

In the bond diagram H-H, the symbol "H" represents a hydrogen atom. Hydrogen is an element that exists as diatomic molecules, meaning it naturally forms pairs of atoms. In the case of H-H, two hydrogen atoms are bonded together.

Each hydrogen atom contributes one electron to the shared pair in the bond. Therefore, in the H-H bond diagram, there is a single pair of electrons being shared between the two hydrogen atoms.

Since each pair of electrons consists of two electrons, we can say that there are a total of two electrons being shared between the atoms in the H-H bond diagram. It is important to note that hydrogen forms a single covalent bond with another hydrogen atom, resulting in a stable H2 molecule.

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Drehex Corporation may need to make trade-offs between cost and time to complete the project, considering the hourly rates and time estimates of their team members.

Corporation may have to make several trade-offs to complete the project based on the cost and time estimates provided. Here are some possible trade-offs they may need to consider:

Ultimately, the trade-offs Drehex Corporation makes will depend on their specific project goals, budget, timeline, and the importance they place on factors such as cost-effectiveness, timeliness, expertise, and quality. Balancing these trade-offs effectively is crucial for successful project completion.

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Answer:

Sample Response: Oracio is the most cost-effective choice because he would cost the least to complete the project. However, he would also take the longest amount of time. Camilla could complete the job the fastest, but she costs more than Oracio. Drehex Corporation will have to decide if it is more important to save money or complete the work quickly to meet the deadline.

Explanation:

The distance travelled by the body is determined as 9 m.

The distance travelled by the body is calculated by applying the following kinematic equation as shown below.

Mathematically, the kinematic equation is given as;

v² = u² + 2as

where;

The given parameters include the following;

the initial velocity of the body = 0

the final velocity of the = 6 m/s

the constant acceleration of the body = 2 m/s²

the distance travelled by the body = ?

The distance travelled by the body is calculated as follows;

v² = u² + 2as

v² = 0 + 2as

v² =  2as

s = v² / 2a

s = ( 6² ) / ( 2 x 2 )

s = 9 m

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The complete question is below:

A body started from rest at constant acceleration of 2 m/s², the body reaches a velocity of 6 m/s. Calculate the distance travelled by the object to reach this velocity.

The most dense thing inside the column is the little star. It's pink, and it's resting on the bottom of the cylinder.

The red part under the star is the solid base that the cylinder is standing in. It's probably wood or plastic, it's not free to move, and it's not involved in the experiment.

Answer: That is not meant to be red, it‘s the bottom of the beaker. The star is at the very bottom of the beaker. it’s just the base of the beaker.

ANSWER

EXPLANATION

First, let us convert the frequency from beats per minute to beats per second (Hertz):

To find the frequency of the lower note, we have to find the difference between the frequency of the higher note and the frequency calculated above.

That is:

The answer is option 3.

Answer:

plenty of exercise

Explanation:

If you are unhealthy or not happy with yourself. try this. Do a 30 minute walk everyday and eat normal amounts of food portions a human should have an in a day. Make sure you drink plenty of water. If that doesn't work maybe taking to someone about it and see what information they have for you. These things do work because i was over weight and lost 73 pound just by doing those few things.

Answer:

We can solve for the magnitude of vector C by first isolating it on one side of the equation:

2A - 6B + 3C = 2j

3C = 2j - 2A + 6B

C = (2/3)j - (2/3)A + 2B

Now that we have an expression for vector C, we can find its magnitude using the formula:

|C| = sqrt(Cx^2 + Cy^2 + Cz^2)

where Cx, Cy, and Cz are the x, y, and z components of vector C, respectively.

Since the equation only gives us information about the y-component of vector C, we can assume that the x and z components are zero. Therefore,

Cx = 0

Cy = 2/3

Cz = 0

|C| = sqrt((0)^2 + (2/3)^2 + (0)^2)

|C| = sqrt(4/9)

|C| = 2/3

Therefore, the magnitude of vector C is 2/3.