1. in the following circuit, the loop (mesh) currents have been already assigned. a. write all the equations needed for mesh/loop analysis. b. write the equation needed to find vo c. write the equation needed to find v1

Answer:

Below

Explanation:

The two PARALLEL resistors equal:    1 / (1/16 + 1/16) = 8 Ω

V = IR        =    .7 (8) = 5.6 v

Paraffin has a specific heat capacity of 1000 J/kg degrees Celsius.

The massic heat capacity, also known as the specific heat capacity or symbol c in thermodynamics, is the quotient of the heat capacity of a sample of a substance and its mass.

Informally, it is the quantity of heat needed to raise a substance's temperature by one degree for every unit of mass that is added to it.

SI unit of specific heat capacity is J-kg⁻¹-K⁻¹.

The  specific heat capacity of paraffin is about 1000 J/kg degrees Celsius. Hence, paraffin is the liquid.

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The horizontal acceleration of a ball thrown straight up just before it reaches its highest point is zero. As the ball is thrown vertically upward, its only acceleration is due to gravity, which acts in the downward direction. There is no force acting horizontally, so the horizontal acceleration is zero.

When a ball is thrown straight up, it experiences a gravitational force pulling it down. This results in a vertical acceleration of the ball towards the ground. However, at the highest point of its trajectory, the ball has stopped rising and has not yet started to fall. At this moment, there is no horizontal component of velocity and thus no horizontal acceleration. The ball is only being affected by gravity, which acts vertically, so the horizontal acceleration is zero. This means that the ball does not change its horizontal position or speed as it reaches its highest point.

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The speed of the liquid in the second segment is V2 = 2.8284 m/s and The speed of the liquid in the third segment is V3 = 14.1421 m/s.

What is speed?

The velocity (commonly denoted as v) of an object is the amount of change in its position over time, or the amount of change in its position per unit time. it is therefore a scalar quantity. The average speed of an object over a period of time is the distance traveled by the object divided by the duration of the interval;  The instantaneous speed is the limit of the average speed when the duration of the time interval approaches zero. Speed ​​is not the same as speed.

The speed of the liquid in the second segment is calculated as follows:

V2 = V1 * (A1/A2)^0.5

V2 = 4.0 m/s * (pi * 0.01^2 / pi * 0.02^2)^0.5

V2 = 2.8284 m/s

The speed of the liquid in the third segment is calculated as follows:

V3 = V2 * (A2/A3)^0.5

V3 = 2.8284 m/s * (pi * 0.02^2 / pi * 0.005^2)^0.5

V3 = 14.1421 m/s.

The SI unit of speed is meters per second (m/s), but the most common everyday unit of speed is kilometers per hour (km/h) or miles per hour (mph) in the US and UK. .For air and sea travel, the knot is widely used.

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Answer:

Δ p = F net Δ t

Before starting the engine, a pre-flight functional check should be performed on the electric gyroscopic instruments prior to an IFR flight.

The electric gyroscopic instruments should undergo a pre-flight functional check before the engine is started for an IFR (Instrument Flight Rules) flight. The following steps should be included in this check:

Check the power supply: Make that the instruments are powered by the appropriate, functional source.

Verify the display on each instrument to make sure it is operating properly and producing a visible and legible display.

Check the movements of the indicators: Look at each indicator's movement to make sure it is correct and fluid.

Verify electrical systems: Verify that the electrical systems connected to each instrument are in good working order and don't exhibit any symptoms of wear or damage.

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The magnitude of the velocity of the second runner relative to the first is 1.50 m/s

The velocity of the second runner relative to the first runner can be found using the following formula:

v_rel = v_2 - v_1

Where v_rel is the relative velocity, v_2 is the velocity of the second runner (4.75 m/s), and v_1 is the velocity of the first runner (3.25 m/s). Plugging in the values, we get:

v_rel = 4.75 m/s - 3.25 m/s = 1.50 m/s

The magnitude of the velocity of the second runner relative to the first is the absolute value of v_rel:

|v_rel| = |1.50 m/s| = 1.50 m/s

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Newton's laws helped him mathematically describe the motion of the planets.

An object in motion will remain in motion unless something acts upon it. Because a planet is moving in an ellipse this law states that there must be some “force” acting upon the planet.

The second law tells how the motion will change when a force acts upon the object. An accelerating object can either change how fast it is moving, the direction it is moving, or both.

The third law describes, when the sun pulls on a planet with the force of gravity, the planet pulls on the sun with a force of equal magnitude. But, because the sun is so much more massive than the planet.

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--The complete question is, Newton's three laws of motion and his law of gravity have helped us better understand and describe the behavior of objects on Earth. How have they also been instrumental in helping us understand the Solar System?

Choose one:

Newton's laws helped prove that we are part of the Milky Way Galaxy.

Newton's laws helped him mathematically describe the motion of the planets.

Newton's laws helped prove that the Sun is at the center of the Solar System.

Newton's laws helped describe the formation of the Solar System.--

The gravitational potential energy of an object depend on its mass and the distance it falls, as well as the rate of gravitational acceleration.

The standard relation to find the gravitational potential energy of the body is,

PE = √Mgh

Where,

M is the mass of the body,

g is the rate of gravitational acceleration,

h is the distance it falls from.

So, we can clearly notice from the above relation that the gravitational potential energy does not depend on the time or speed of the fall, it only depends on the its mass and the distance it falls, as well as the rate of gravitational acceleration.

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Answer:

A changing current in the primary coil induces an e.m.f in the secondary. Since the e.m.f generated depends on the number of turns, the voltage induced in the secondary can be changed - stepped up or down - by altering the turn's ratio.

It is true that the force of attraction between two objects is called gravity. Gravity is the force that attracts two objects towards each other, and it is proportional to the mass of the objects and the distance between them.

The strength of the gravitational force depends on the masses of the objects and their separation, and it is described by Newton's law of gravitation.

According to Newton's law of gravitation, the gravitational force between two objects is proportional to the product of their masses and inversely proportional to the square of the distance between them.

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3.05s is taken for the nose of the train stay in the station which enters with an initial velocity of 22.0m/s and decelerates at a rate of 0.160 m/s^2 as it goes through the station is 205 m long.

Given the initial velocity of train (u) = 22m/s

The deceleration of train (a) = -0.160m/s^2

The length of station (Δd) = 205m

Time taken for the train to cross the station = t

From Newtons laws of motion, we know that Δd = ut + 1/2at^2

Then, 205 = 22 x t - 1/2 x 0.160 x t^2

22t - 0.08t^2 - 205 = 0

Then t = 3.05s

Hence the time required for nose of the train stay in the station is 3.05s.

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If the applied voltage is polarised in the opposite direction (negative on red and positive on black), the metre will display "backwards."

Some devices may be electrically charged at all times if an outlet has reverse polarity. Electricity will flow to the switch in a properly connected outlet; with reversed polarity, it will be present in the item even when it is not switched on.Reverse polarity protection is an internal circuit that ensures the device is not destroyed if the polarity of the power source is reversed. The reverse polarity protection circuit disables power to the transmitter or transducer's sensitive electronic circuitry.If you reside in a house that has had amateur electrical work done, there's a strong chance you have some outlets with reversed polarity. That essentially means that some of your channels may surprise you. Uh oh! While not all shocks are lethal, they are all painful and unpleasant. Only a qualified electrical contractor in North Scottsdale, AZ can perform electrical repairs in your home.

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The time a flea spends in the air from the time it jumps to the time it hits the ground depends on the initial velocity of the jump and the acceleration due to gravity.

To calculate the time, we need to know the initial velocity and the height the flea jumps. Without this information, it is not possible to determine the time the flea spends in the air.

You will use kinematic equations to analyze a jumping flea in this problem. Assume that the free-fall acceleration is 9.80.

In standard athletics, the running leap and standing jump have an initial velocity of 9.15 and 2.70 m/s and an initial angle of jump of 21 and 38 degrees, respectively. Maximal beginning velocity strength, angle of engaged force, and height are all strongly correlated with the maximum horizontal velocity of 9.15 m/s.

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The football was kicked at an angle of approximately 8.2 degrees relative to the horizontal.

The problem can be solved using kinematic equations of motion and conservation of energy. The initial vertical velocity component of the football can be calculated from the initial velocity, maximum height, and time of flight, which can be calculated from the vertical motion of the football.

The initial vertical velocity component, v0y, can be calculated as follows:

v0y = v0sinθ

where v0 is the initial velocity and θ is the angle at which the football was kicked. The maximum height, h, is related to the initial vertical velocity and the acceleration due to gravity, g, by the following equation:

h = v0ysinθ * t - 1/2 * g * t^2

Rearranging and substituting the values:

sinθ = (h + 1/2 * g * t^2) / (v0 * t)

where t is the time of flight and can be calculated as:

t = (2 * v0sinθ) / g

So,

t = (2 * 28 * sinθ) / 9.8

And the maximum height is:

h = 28sinθ * t - 1/2 * 9.8 * t^2

Substituting the given values:

26 = 28sinθ * (2 * 28 * sinθ) / 9.8 - 1/2 * 9.8 * (2 * 28 * sinθ)^2 / 9.8^2

Solving for sinθ:

sinθ = sqrt(520 / 506) = sqrt(13 / 127)

So,

θ = sin^-1(sqrt(13 / 127)) = approximately 8.2 degrees

Thus, the football was kicked at an angle of approximately 8.2 degrees relative to the horizontal.

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According to the general laws, the direction of friction is always the opposite of the direction of motion, parallel to the surface between objects, and perpendicular to the normal force.

According to general laws, the force of friction acts on moving objects in the opposite direction of motion. Frictional force always operates in the opposite direction of applied force.

The normal force is opposite of the object's surface, which implies that if the object is laying on the ground, the normal force will be opposite in direction of the surface on which the surface is lying, which in this case is the ground.

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In a circuit with two resistors, the equivalent resistance is smallest when the resistors are connected in parallel.

In a parallel circuit, the total resistance is smaller than the smallest individual resistor because the current is divided among the resistors. Each resistor in the circuit has its own current, and the total current is equal to the sum of the individual currents. This means that the total resistance in a parallel circuit is less than the smallest individual resistor, since the current flowing through each resistor adds up to the total current.

In a series circuit, the total resistance is equal to the sum of the individual resistors, so the total resistance is greater than the smallest individual resistor. This is because in a series circuit, the current flows through each resistor one after the other, so the total resistance is the sum of the resistances of each resistor.

Therefore, the equivalent resistance is smallest in a parallel circuit.

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No, its acceleration vector cannot point west because acceleration is defined as a change in velocity. If an object's velocity is moving in the east direction, then its acceleration vector cannot point in the opposite, west direction.

Yes, the direction of the acceleration vector is dictated by physical laws and principles. According to Newton's second law, the acceleration vector is directly proportional to the net force acting on an object and inversely proportional to its mass. The direction of the net force determines the direction of the acceleration vector. In addition, the acceleration vector is always in the direction of the change in velocity of the object, and it is opposite the direction of the change in velocity if the object is slowing down. These laws and principles help to explain the direction of the acceleration vector for objects in motion.

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The force due to hydrostatic pressure, of a horizontally oriented cylindrical water tank which is halfway full of water, that has a radius of 2 ft and is 5 ft long is 58,124.25 N.

Hydrostatic pressure is the pressure exerted by a fluid due to the force of gravity. Hydrostatic pressure in a liquid can be calculated as follow :

p = ρ g h             

p = pressure in liquid (N/m2)

ρ = density of liquid (kg/m3)

g = acceleration of gravity (9.81 m/s2)

h = height of fluid - (m)

*Density of water 1000 kg/m3

The cylinder tank has 5 ft long, so 5 ft = 1.5 meters

Since the tank is halfway full of water, h = 1.5 : 2 = 0.75 meter

p = ρ g h             

p = 1000 x 9.81 x 0.75 = 7357.5 N/m2

Then, to calculate the force, use the following formula : F = PA

where area of cylinder = [tex]2\pi r^{2} + 2\pi rh[/tex]

If radius is 2 ft = 0.6 meters and length is 5 ft = 1.5 meters,

area of cylinder = (2 x 3.14 x 0.6 x 0.6) + (2 x 3.14 x 0.6 x 1.5) = 7.9 m2

Thus, F = 7357.5 x 7.9 = 58,124.25 N

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The average speed of an object during a time interval can be found by dividing the total distance traveled by the time interval. So the average speed during the 2 s interval was 4.5 m/s.

If the speed changed at a constant rate during the interval, then we can use the average speed as an approximation for the speed at the midpoint of the interval.

In this case, the runner started from rest and reached a speed of 9 m/s in 2 s, so the average speed would be half of the final speed:

average speed = (0 + 9 m/s) / 2

= 4.5 m/s

So the average speed during the 2 s interval was 4.5 m/s.

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We have to be careful about work done by system and work done on system because they are completely different in nature.

In physics, work is said to be done on a system when force is applied to it and the system suffers displacement. Work is considered to be done by a system when it applies a force to something else and produces displacement.

Work done on the system indicates that anything outside the system (other than heat flow into the system) accomplished something to enhance the internal energy of the system. Because the system worked on anything outside the system, the system's internal energy diminished.

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Only the vertically component of the a projectile varies over time because gravity only affects objects vertically.

Gravitational force occurs vertically downward during projectile velocity. Other forces in either the horizontal or vertical axes have no effect on the missile. As a result, the gravitational force has an impact on the vertical motion. The projectile's momentum is accelerated by this force.

If there's no air pressure, the only force acting on an object once you let go of it is gravity. The relationship between the gravitational force and an object's mass. The gravitational pull is stronger for heavier items.

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Every objects moving with a velocity is associated with certain momentum. The momentum of the object with the mass m and velocity 10 m/s is 10 times its mass.

What is momentum ?

Momentum of an object is its ability to bring the applied force to make a maximum displacement. The force applied depends on the mass and acceleration of the body.

Similarly, momentum is the product of the mass and velocity of the moving body.

i.e., P = mv

An object at rest have no momentum.

If a body of mass say, m is moving with a velocity of 10 m/s, then the momentum  of the body is:

p = 10 m/s ×m Kg = 10m kg m/s.

Therefore, the momentum of the body will be 10 times the mass of that body.

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The speed (in m/s) at a height of 52 m is v = 20.8 m/s.

It is given that, a model rocket accelerates upward from the ground with a constant acceleration, u = 0

Height reached, d = 52 m

Time taken, t = 5 s

Let a is the acceleration of the rocket. It can be calculated using second equation of motion as,

[tex]d = ut + \frac{1}{2} at^{2}[/tex]

[tex]a = \frac{2d}{t^{2} }[/tex]

[tex]a = \frac{2 * 52 }{5^{2} }[/tex]

a = 4.16 [tex]m / s^{2}[/tex]

Let v is the speed at the height of 50 meters. So,

[tex]v = u + at[/tex]

[tex]v = 4.16 * 5s[/tex]

v = 20.8 m/s

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An indicator that orients you when defining a motion is called the reference point. The reference point provides a fixed frame of reference for observing and describing the position, velocity, and acceleration of an object.

If you are describing the motion of a car on a highway, you can use the side of the road or a specific landmark as the reference point. By using a reference point, you can determine the position, velocity, and acceleration of the car.

An object is considered to be in motion if its position changes relative to a reference point over time. There are several ways to determine if an object is in motion like Observing its position, measuring its velocity and observing its acceleration.

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When an elastic object collides with another object, the speed is unchanged. Accordingly, motion  if indeed the collision is elastic, the particles' final speed will be 4.00 m/s.

Speed is calculated as follows: speed = distance * time. Knowing the values for time and distance is necessary to calculate the units for speed. The measurements will be meters per second (m/s) in this example since the distance is measured in m. (m) and the time is measured in seconds (s).

Elastic Collision's momentum formula is m1u1 Plus m2u2 Equals m1v1 + m2v2. m(u1-v1) = m(v2-u2) (v2-u2) ⇢ (Algebra A) For elastic collisions, the kinetic formula is 1/2(m1u12) + 1/2(m2u22) Equals 1/2(m1v12) + 1/2. (m2v22).

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