Determine the net capacitance C of each network of capacitors shown below. Assume that C1=1.0pF, C2=2.0pF, C3=4.0pF, and C4=5.0pF

When a vacuum is created, it is created for the purpose to remove anything.

The main purpose of creating vacuum is referred to removal of the air from a particular space or chamber.

Such a kind of procedure should guarantee tightness.

If there is a slight leakage then the air molecules can slip in through that space created.

This will allow air to remain in the place and there won't be any possibility of creating vacuum as there won't be full removal of air.

Therefore, it becomes important to ensure the tightness of vacuum while creating it so that there is no passage created for air to pass through.

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Ice at 0°C must have a minimum mass of 0.39 kg.

As we know that

M(ice) at Ti(ice) = 0°C

Mс = 350 ml at Tic = 90°C

Now,

The heat loss by coffee=heat gain by ice

So,

McScΔ₁ = M₁L₁

Then,

ρv = 10³×(350×10-³)×10-³ = 350g

The specific heat of coffee = 1 cal/9°C

The latent heat of ice = 80 cal/g

Now, we plug all the values in above formula

350×1×(90-0) - M₁x80

M₁ = [tex]\frac{350x90}{80}[/tex]

    =393.75g

    =0.393kg

The minimum mass of 0°C ice required is 0.393 kilograms

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The wavelength of the light is 1.92 * 10^-6 m which corresponds to the infrared region as shown in the image attached.

We know that the hydrogen atom has electrons that occupy energy levels that are in conformity with the Bohr model. According to the Bohr model, electrons can move from a higher to a lower energy level.

We now have;

1/λ = RH (1/[tex]n_{2} ^2[/tex] - 1/[tex]n_{1}^2[/tex])

λ = wavelength

RH = Rydberg constant

The initial and the final levels are also shown therefore;

1/λ = 1.097 * 10^7 ( 1/3^2 - 1/4^2)

1/λ= 1.097 * 10^7 (0.11 - 0.0625)

λ=1.92 * 10^-6 m

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Answer:

Potholes, large cracks, and a generally bumpy (and not smooth) road.

Explanation:

Rural roads tend to be poorly kept as they are not usually paid for by the city's tax money.

Poor road characteristics can include;

Potholes, fallen trees, uncovered water drains, and shoulder drop off (the shoulder – right side of the road past the solid white line – drops more than two inches from the road's surface).

SOURCE:

https://www.edgarsnyder.com/car-accident/cause-of-accident/bad-roads/hazardous-roads-types.html

800 kg, as mass= force divided by acceleration is 80N, and mass divided by 0.1m/s2 is acceleration divided by mass, is equivalent to mass.

The rate at which velocity, measured in terms of speed and direction, changes over time is known as acceleration. Anything is said to have been accelerated when it travels in a straight line at a quicker or slower rate. Because the direction is always shifting, motion on a circle accelerates even while the speed is constant.

The definition of force is: The pushing or pulling on a massed object changes its velocity. An outside force has the ability to change a body's resting or moving status. It has a size and a movement.

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Taking into account the Newton's Second Law, she accelerate the soccer ball from rest to 37.234 m/s² in the process.

Newton's Second Law states that this force will change the speed of an object because the speed and/or direction will change.

Newton's second law defines the relationship between force and acceleration mathematically. This law says that the acceleration of an object is directly proportional to the sum of all the forces acting on it and inversely proportional to the mass of the object.

Mathematically, Newton's second law is expressed as:

F= m×a

where:

In this case, you know:

Replacing in Newton's second law:

35 N= 0.94 kg× a

Solving:

a= 35 N÷ 0.94 kg

a=37.234 m/s²

Finally, she accelerate the soccer ball to 37.234 m/s².

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Explanation:

Gravity is the only force acting on an object in free-fall. According to Newton's second law, the force is equal to mg, so the mass is taken into account there.

Answer:

the gravitational attraction of each ball, so technically the others too lol

The sum of the currents through all the branches in the parallel circuit is 0.3 A.

A parallel circuit is a type of circuit which comprises branches so that the current divides and only part of it flows through any branch.

The voltage, or potential difference, across each branch of a parallel circuit is the same, but the currents may vary.

The sum of the current flowing in any branch of a parallel circuit is determined by applying Ohms law as follows;

I = V/R₁ + V/R₂ + V/R₃

where;

Thus, If the current leaving the cell in a parallel circuit is 0.3 A, then it implies that the resultant current or total current in the parallel circuit is 0.3 A.

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The electricity produced either by varying the magnetic field through a mechanical movement of the magnet or by rotating or moving the loop within a fixed magnetic field that does not move in both cases the magnetic flux through the loop varies with time.

The magnetic influence on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field.

A current will be induced in a coil of wire if it is exposed to a shifting magnetic field. Because of an electric field that is being generated, which drives the charges to move around the wire, current is flowing.

The electricity produced either by varying the magnetic field through a mechanical movement of the magnet or by rotating or moving the loop within a fixed magnetic field that does not move in both cases the magnetic flux through the loop varies with time.

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The relationship that would be able to describe this is that the gas does not dissolve into the water at a temperature below -5.83 units.

This is the term that is used to refer to the data types that includes Numbers such as weight, cost, and measurements

The descriptive and conceptual information gathered through surveys, interviews, or observation is referred to as qualitative data.

With a slope of 0.036, the volume v varies linearly with temperature T.

Volume v grows by 0.036 units for every unit increase in temperature as a result.

The volume of the gas dissolved in water is 0.21 units when the water's temperature is zero.

The smallest volume that is feasible is 0 because the volume cannot be negative. At a certain temperature, this occurs. This is the temperature at that time. Let's refer to it as Tc.

we have

Tc = -0.21 / 0.036

= -5.83

This means that the gas does not dissolve into the water below a temperature of -5.83 units.

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The possible outcome of the collision would be Cart A moving forwards with speed (v), cart B at rest. That is option D.

Speed is defined as the quality of movement of an object with respect to time without the consideration of the direction of its movement.

From the question, the experiment contains two carts, A and B. Cart B is moving with the speed of v towards cart A.

Since the both cart bears the same mass, the speed of cart B would reduce while causing the movement of cart A.

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If the basketball weighed more after it was inflated with air than when it was deflated, this show that gas is matter because it takes up space and has mass.

Generally matter can be described as a physical substance. Descriptively it can be said that anything that takes up space and has mass is called as matter.

Clearly, an inflated basketball is bigger in size than a deflated basketball. So, it can be said that with the help of air the inflated basketball has gained size. The basketball weighed more after it was inflated with air than when it was deflated, meaning the air has mass.

Therefore, this show that gas is matter because it takes up space and has mass.

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Answer:

  74.7 m

Explanation:

You want the minimum radius of curvature of a vertical circular arc so that vehicles traveling 95 km/h making the transition from horizontal to an 18° down grade will not leave the road.

The acceleration due to gravity on the vehicle at the point it is traveling 18° down is ...

  g·cos(18°) ≈ (9.8 m/s²)·0.95106 ≈ 9.32 m/s²

The radius of an arc and the speed of travel are related to the normal acceleration by ...

  r = v²/a

where v is the speed along the arc, and 'a' is the normal acceleration required to make an object follow the circular curve.

The speed of 95 km/h can be translated to m/s by ...

  (95 km/h) · (1000 m/(1 km)) · (1 h)/(3600 s) = 95/3.6 m/s ≈ 26.389 m/s

Using the above relation to find the radius, we get ...

  r = (26.389 m/s)²/(9.32 m/s²) ≈ 74.72 m

The minimum radius of the vertical circular arc should be 74.7 meters to prevent vehicles from becoming airborne.

__

Additional comment

In actual roadway design, factors of sight distance and stopping distance come into play. Sight distance over this crest would be about 25 m. It would need to be more than 6 times that distance for the roadway to be safe at 95 km/h.

An 18° down grade is about 3 times the usual maximum for roadway design, which will severely increase stopping distance. The vertical arc described here would leave the car with no normal force on the roadway at the end of the arc, so braking would be impossible. Passengers would be feeling weightless, too.

Roadway curves are generally parabolic (not circular), so they have a constant rate of change of slope with horizontal distance.

Explanation:

resultant motion = √x² + y²

this is using Pythagoras theorem whereas the x and y components can be used to construct a right angle triangle with the hypotenuse = resultant.

hope it helps. :)

Answer:

The other arrow/force should be in the same direction that Alex is pushing the heavy box.

Explanation:

If Alex is pushing the heavy box to the right, then another person helping him that is also pushing the heavy box to the right would lessen the amount that he has to push.

The acceleration of the SUV during crash as the crumple zone is collapsing is 0.0063 m/s².

Acceleration is the ratio of the force on a body to the mass of the body.

To calculate the acceleration of the  SUV, we use the formula below.

Formula:

Where:

Make a the susbject of the equation

From the question,

Given:

Substitute these values into equation 2

Hence, the acceleration of the SUV is 0.0063 m/s².

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Answer:

light travel faster than sound

Explanation:

because light, travels at about 300,000,000 meters per second, travels much faster than sound, which travels at 340 meters per second

iam for su

r it is A

Explanation:

ertically. ai What type of energy is stored in a compressed spring? [1 ii What happens to this stored energy when the handle of the plunger is released?

A i. what

Height to which the lift of the pail is taken is 0.37m.

Height is the vertical distance of an object from the surface of the Earth.

Work done = 13 J

Weight of the pail of the water = 35-N

Gravity is defined as the force that attracts a body to the Earth or any other physical body that has mass.

W = mgh

mg = 13 J

W = 35 N

h = [tex]\frac{W}{mg}[/tex]

h = [tex]\frac{13}{35}[/tex]

h = 0.37 m

The height to which the lift of pail will be raised will be 0.37m.

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Answer:79g +9a(y>3

Explanation::79g +9a(y>3

Every action has an equal and opposite response, states Newton's Third Law of Motion. When a bullet is fired from a gun, the gun exerts force on the bullet that causes it to move forward. The bullet also applies an equal and opposing force to the gun as it moves backward.

The term “translational motion” refers to a motion in which the body moves in a straight line from one location to another. The motion of a bullet launched from a gun is an illustration of translational motion.As the bullet goes rearward, it exerts an equal and opposite force on the gun.

Therefore, A bullet loses kinetic energy and gains potential energy when fired vertically upward. At greater altitudes, the bullet continues to lose kinetic energy while gaining potential energy.

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The energy, E of the given waves are as follows:

a. Energy, E  = 6.63 * 10⁻²⁸ J

b. Energy, E  = 6.63 * 10⁻²⁴ J

c. Energy, E  = 1.99 * 10⁻¹⁶ J

d. Energy, E  = 4.97 * 10⁻¹⁹ J

e. Energy, E  = 2.84 * 10⁻¹⁹J

f. Energy, E = 1.99 * 10⁻¹⁶ J

The formula to calculate the energy of a wave s given below as follows:

where;

h is Planck's constant = 6.63 * 10⁻³⁴ Js

c is the velocity of light = 3.0 * 10⁸ m/s

λ is the wavelength of the light

The energies of the waves are calculated as follows:

a. λ = 3.0 x 10¹¹ nm or 3.0 * 10² m

E = 6.63 * 10⁻³⁴ * 3.0 * 10⁸ / 3.0 * 10²

E = 6.63 * 10⁻²⁸ J

b. λ = 3.0 x 10⁷ nm or 3.0 x 10⁻² m

E = 6.63 * 10⁻³⁴ * 3.0 * 10⁸ / 3.0 * 10⁻²

E = 6.63 * 10⁻²⁴ J

c. λ = 1 nm or 1.0 x 10⁻⁹ m

E = 6.63 * 10⁻³⁴ * 3.0 * 10⁸ / 1.0 x 10⁻⁹ m

E = 1.99 * 10⁻¹⁶ J

d. λ = 400 nm or 4.0 x 10⁻⁷ m

E = 6.63 * 10⁻³⁴ * 3.0 * 10⁸ / 4.0 x 10⁻⁷ m

E = 4.97 * 10⁻¹⁹ J

e. λ = 700 nm or 7.0 x 10⁻⁷ m

E = 6.63 * 10⁻³⁴ * 3.0 * 10⁸ / 7.0 x 10⁻⁷ m

E = 2.84 * 10⁻¹⁹J

f. λ = 1 nm or 1.0 x 10⁻⁹ m

E = 6.63 * 10⁻³⁴ * 3.0 * 10⁸ / 1.0 x 10⁻⁹ m

E = 1.99 * 10⁻¹⁶ J

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The potential energy of the water having height of 45 m and has a mass of 250 kg is 110,250 Joule.

The force acting on the two objects affects the potential energy formula. The formula for gravitational force is P.E. = mgh, where g is the acceleration caused by gravity (9.8 m/s2 at the earth's surface) and h is the height in meters.

Substituting the value of mass (m), height(h) and g in the formula of potential energy

P.E = mgh

P.E. = 250*9.8*45

P.E.= 110,250 J  

Potential energy is the power that a thing possesses as a result of where it is in relation to other objects. Because the earth can pull you down through the force of gravity while doing work in the process, being at the top of a stairwell gives you more potential energy than standing at the bottom.

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The speed ball when it reaches the bottom of the homemade ramp is 1.68 m/s.

The speed of the ball at the bottom of the ramp is determined by applying the principle of conservation of energy as follows;

total kinetic energy = total potential energy

rotational kinetic energy + translational kinetic energy = total potential energy

¹/₂Iω²  +  ¹/₂mv²   =  mgh

where;

¹/₂I(v/r)²  +  ¹/₂mv²   =  mgh

¹/₂Iv²/r²  +  ¹/₂mv²   =  mgh

I = ¹/₂mr²

¹/₂(¹/₂mr²)v²/r²  +  ¹/₂mv²   =  mgh

¹/₄mv² + ¹/₂mv² = mgh

¹/₄v² + ¹/₂v² = gh

v² + 2v² = 4gh

3v² = 4gh

v² = 4gh/3

v = √(4gh/3)

where;

v = √(4 x 9.8 x 0.215/3)

v = 1.68 m/s

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When mass of Mars and Phobos are given then we can calculate that Mars and Phobos are 9.098x 10⁶ meters apart.

The gravitational force is that force that pulls objects with mass towards each other.

The formula for the gravitational force between two objects is given as:

Force = G  (M1) (M2) / (distance²)

Given, Force  =  4.98 x 10¹⁵N

G  =  6.673 x 10⁻¹¹  N·m²/kg²

Given One mass =   6.79 x 10²³ kg

and Other mass = 9.1 x 10¹⁵ kg  

Force = (G) · (M1) · (M2) / (distance²)

4.98x10¹⁵N = (6.673x10⁻¹¹N-m²/kg²)·(6.79x10²³kg)·(9.1x10¹⁵kg) / (distance²)

(distance²)·(4.98x10¹⁵N) = (6.673x10⁻¹¹N-m²/kg²)·(6.79x10²³kg)·(9.1x10¹⁵kg)

(distance²)=(6.673x10⁻¹¹N-m²/kg²)·(6.79x10²³kg)·(9.1x10¹⁵kg) / (4.98x10¹⁵N)

 (distance²)  =  8.279 x 10¹³  m²

distance  =  9.098x 10⁶ meters .  

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A statement of relation between objects is called as Concept.

How do you define a concept?

Concepts are regarded as intangible ideas. They are acknowledged as the basic conceptual building blocks of principles, thoughts, and beliefs.

They are critical to all facets of cognition. As a result, concepts are investigated by a variety of academic fields, including linguistics, psychology, and philosophy. These fields are curious about the logical and psychological structure of concepts as well as how they are combined to create thoughts and sentences.

An increasingly popular interdisciplinary approach known as cognitive science has made the study of concepts a focal point.

There are currently at least three popular approaches to understanding a concept:

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A battery is analogous to a pump in a water circuit

A pump receives water at low pressure, processes it, and ejects it at high pressure. A battery absorbs a charge at low voltage, processes it, and then expels it at high voltage.

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The magnitude of the work done on the particle by the applied force is 19.72 J.

The work done in moving a charged particle is determined from the product of force and displacement of the object.

W = Fd

where;

The magnitude of the particle's displacement is calculated as follows;

|d| = √[(x₂ - x₁)² + (y₂ - y₁)²]

where;

|d| = √[(-3.1 - 0.92)² + (5 - 2.5)²]

|d| = 4.73 m

The magnitude of the force is calculated as follows;

F = √(-3.6² + 2.1²)

F = 4.17 N

The work done = 4.17 N x 4.73 m = 19.72 J

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