a parallel-plate capacitor is made of two square plates 20 cm on a side and 1.5 mm apart. the capacitor is connected to a 30-v battery. this time, starting from situation in (a), with the batteries disconnected (but capacitors still charged), the plates are pulled apart to a separation of 3 mm. what is the energy stored in the capacitor now?

Answers

Answer 1

The energy stored in the capacitor after the plates are pulled apart is 0.245 μJ.

How to calculate the energy

The energy stored in a capacitor is given by the formula:

E = (1/2)CV²

The capacitance of a parallel-plate capacitor is given by the formula:

C = (ε_0)A/d

The area of the plates is 20 cm x 20 cm = 400 cm²

The original separation between the plates is 1.5 mm = 0.0015 m

The voltage across the capacitor is 30 V

We can now calculate the original energy stored in the capacitor:

E = (1/2)CV²= (1/2)(2.67 × 10^-9 F)(30 V)² = 0.735 μJ

When the plates are pulled apart to a separation of 3 mm, the capacitance of the capacitor decreases. The new capacitance can be calculated using the same formula as before:

C = (ε_0)A/d = (8.854 × 10^-12 F/m)(400 cm^2)/(0.003 m)

= 1.33 × 10^-9 F

The new energy stored in the capacitor can be calculated using the same formula as before:

E = (1/2)CV² = (1/2)(1.33 × 10^-9 F)(30 V)^2 = 0.245 μJ

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Related Questions

El profesor de Pedro mencionó en su clase que la distancia promedio de la Tierra a la Luna es de 384 000 000 metros. Ayuda a Pedro a escribir este número en notación científica

Answers

Answer:

384 000 000 en notación científica es 3.84*10⁸

Explanation:

La notación científica es una forma de representar números para simplificar la forma en que se escriben. Esta notación se utiliza para poder expresar muy fácilmente números muy grandes o muy pequeños.

Los números se escriben como un producto:

a*10ⁿ

donde:  

a es un número real mayor o igual que 1 y menor que 10.n es un número entero, que recibe el nombre de exponente u orden de magnitud. Representa el número de veces que se desplaza la coma. Siempre es un número entero, positivo si se desplaza a la izquierda, negativo si se desplaza a la derecha.

Para escribir el número 384 000 000 en notación científica, se realizan los siguientes pasos:

Se mueve la coma decimal hacia la izquierda tantos espacios hasta llegar a la derecha del primer dígito.  En este caso la coma se encuentra al final del número.Se escribe entonces este número, que será el coeficiente a en la expresión a*10ⁿ. En este caso es el valor 3.84, donde el punto representa la coma decimal.Se escribe la base 10 con el exponente igual a la cantidad de espacios que se mueve la coma. Este es un número positivo porque la coma se desplaza a la izquierda.  Entoces, como la coma decimal se mueve 8 lugares, n=8

Entonces, 384 000 000 en notación científica es 3.84*10⁸

Eating pizza with friends after a football game is most likey an example of which food choice factors?

A.time and cost
B.family and friends
C.nutritional content
D.advertising
E.Other:

Answers

Answer:

time and cost

Explanation:they have to pay for the pizza and take time to eat it

Answer:

B: Family and Friends

Explanation:

According to the class I had on this a few years ago, I can confirm that this was the answer.

My answer would be this because you are socializing with friends (according to the question) and you would just select it automatically due to background knowledge.

Hope I helped! ☺

electrostatic precipitators use electrical charges to attract and track what pollutants?

Answers

Electrostatic precipitators use electrical charges to attract and trap pollutants, such as dust particles, sulfur dioxide, and smoke particles.

This technology works by using high voltage to ionize the pollutant particles, which changes their electrical charge and results in an attractive electrical force that is directed to metal plates or tubes, known as collectors.

Once the particles reach the collector, they build up and can be removed from the air. This technology is usually used to control emissions of particles that are too small to be blocked by traditional mechanical filters, such as those found in large power plants and fossil fuel facilities.

Because electrostatic precipitators are so efficient and powerful, they are now frequently used in many industries where air pollution control is needed. With proper maintenance and upkeep, this technology can be very effective in reducing air pollution, and keeping the surrounding air clean.

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Jeremy had 20 books which he arranged in 4 shelves of a rack. His brother, Brandon takes away 4 books from each of the shelves. How many books are there now in each shelf? ​

Answers

Answer:

1 book per shelf

Explanation:

So, there's 20 books, and Jeremy has 4 shelves

If Jeremy arranges the books equally. so each shelf has the same out of books, do 20 / 4 to get the amount of books per shelf

20 / 4 = 5 books per shelf

Now, if Brandon takes away 4 books from each shelf, do 5 - 4 to find the remaining amount of books per shelf

5 - 4 = 1

1 book per shelf left

Calculate the potential at the centre of a square of side √4.5 m which carries at its
four corners and charges of + 5 x 10° C, 2 x 10°C, -5 x 10° C and - 7 x 10°C
respectively

Answers

Thus, the total potential is then V_total = \(-1.2 * 10^9V\)


How to solve

The potential at a point due to a charge is given by V = kQ/r, where k is Coulomb's constant (~\(9x10^9 Nm^2/C^2\)), Q is the charge, and r is the distance from the charge.

The total potential at the center of the square is the sum of the potentials due to each charge.

The distance of each charge to the center is half the diagonal of the square, which is \(\sqrt2 * side/2 = \sqrt2 * \sqrt4.5/2 = 1.5m.\)

The total potential is then V_total

= \(k * [(510^8/1.5) + (210^8/1.5) - (510^8/1.5) - (710^8/1.5)] = -2 * k * 10^8 / 1.5 \\= -1.2 x 10^9 V.\)

Thus, the total potential is then V_total = \(-1.2 * 10^9V\)

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"An airline is considering operating a new service. The aircraft has a maximum capacity of 200 passengers. Each flight has fixed costs of £25,000 plus an additional cost of £75 per passenger (to cover things like catering, booking, baggage handling)." "The company is considering charging £225 per ticket, how many passengers will the airline need on each flight to break even?""An airline is considering operating a new service. The aircraft has a maximum capacity of 200 passengers. Each flight has fixed costs of £25,000 plus an additional cost of £75 per passenger (to cover things like catering, booking, baggage handling)." "The company is considering charging £225 per ticket, how many passengers will the airline need on each flight to break even?"

Answers

The airline will need to have at least 167 passengers on each flight to break even.

To calculate the number of passengers needed to break even, we need to consider the total costs and the revenue generated per flight.

The total cost per flight consists of the fixed costs (£25,000) and the variable costs (£75 per passenger). The revenue per flight is determined by the ticket price (£225) multiplied by the number of passengers.

Let's denote the number of passengers as 'P'. The total cost per flight is given by:

Total Cost = Fixed Costs + (Variable Cost per Passenger * Number of Passengers)

Total Cost = £25,000 + (£75 * P)

The revenue per flight is given by:

Revenue = Ticket Price * Number of Passengers

Revenue = £225 * P

To break even, the total cost should equal the revenue:

£25,000 + (£75 * P) = £225 * P

Now, we can solve this equation for P to find the number of passengers needed to break even:

£25,000 + (£75 * P) = £225 * P

£25,000 = £225 * P - £75 * P

£25,000 = £150 * P

P = £25,000 / £150

P ≈ 166.67

Since the number of passengers must be a whole number, we round up to the nearest whole number:

P = 167

The airline will need at least 167 passengers on each flight to break even. However, since the maximum capacity of the aircraft is 200 passengers, the airline will need to fill the aircraft to its maximum capacity to break even on each flight.

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A 7.7 V power supply is connected to a 79 Ohm resistor and a 87 Ohm resistor in parallel. What is the total current through the circuit? Round your answer to 2 decimal places.

Answers

The total current through the circuit is 0. 19A

How to determine the current

We have the formula for power to be;

Current, I = V/R

Voltage = 7. 7V

Resistance in parallel = R1R2/ R1 + r2

Resistance in parallel = \(\frac{79 * 87}{87 + 79}\) = \(\frac{6873}{166}\) = 41. 40 Ohms

Current = \(\frac{7. 7}{41. 40}\) = 0. 19 A

Thus, the total current through the circuit is 0. 19A

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which of the following wavelengths are used in eye safe lidar systems? group of answer choices 530 - 540 nm 760 - 780 nm 1040 to 1060 nm 2040 - 2050 nm none of the above

Answers

The wavelengths used in eye-safe LiDAR systems are 1040 to 1060 nm. Eye-safe LiDAR systems are designed to operate in the near-infrared range to ensure the safety of human eyes, and the wavelength range of 1040 to 1060 nm falls within this category, providing a balance between safety and performance.

The wavelengths that are commonly used in eye safe lidar systems are typically in the range of 1040 to 1060 nm. This wavelength range is considered eye safe because it does not cause damage to the retina of the human eye.

Other wavelength ranges, such as 530 - 540 nm or 760 - 780 nm, are not typically used in eye safe lidar systems because they can be harmful to the eye. Similarly, a wavelength range of 2040 - 2050 nm is not commonly used in eye safe lidar systems. Therefore, the correct answer to your question would be 1040 to 1060 nm.

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I have a circuit with a 200 V battery which produces 150 W of power. What is the
current in the circuit?

Answers

Explanation:

0.75

According to the formula, P=IV

150 = I×200

An electron (rest mass 9.11x10^(-31) kg, charge is 1.60x10^(-19) C) is moving opposite to an electric field of magnitude E = 5x10^5 N/C. All other forces are negligible in comparison to the electric field force. What is the magnitude of the force on electron F = qE
a. 8x10-24N
b. 8x10-19N
c. 8x10-14N
d. 8x10-15N

Answers

The force exerted on the electron has the magnitude of  \(8\times10^{-14} N\). The force on an electric charge q in an electric field E is given by the formula F = qE.

Here, the charge on the electron is \(q = 1.60\times 10^{-19} C\), and the electric field is \(E = 5\times10^5 N/C\).

the electron's Magnitude of force is given by :\(F = (1.60\times10^{-19} C)(5\times10^5 N/C) = 8\times10^{-14} N\)

This force is directed opposite to the direction of the electric field because the electron has a negative charge. Since all other forces acting on the electron are negligible in comparison to the electric field force, we can assume that the electron moves with a constant acceleration given by F = ma. The acceleration of the electron can be determined by using the formula a = F/m.

Substituting the values, we get

\(a = \frac{8\times10^{-14} N)}{(9.11\times10^{-31} kg)} = 8.78\times10^{16} m/s^2.\)

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An apple weighing 100g, located at a height of 1.5m, falls from the tree. (Air resistance is not taken into account) Find:
a) Gravitational potential energy possessed by the apple.
b) What is the kinetic energy at the moment of collision of the apple
- We throw the apple from the tree, giving it an initial energy of 1.2 J
What is the initial speed of the apple? c) What is the speed with which the apple hits the ground?​

Answers

a) Gravitational potential energy possessed by the apple is E = 1.47 J.

b) Kinetic energy at the moment of collision of the apple is E = 1.47 J.

   The initial speed of the apple is 3.92 m/s.

c) The speed with which the apple hits the ground is 5.42 m/s.

a) Gravitational potential energy possessed by the apple:

Given that the apple weighs 100 g, located at a height of 1.5 m, the gravitational potential energy can be calculated as follows:

E = mgh = 0.1 kg × 9.8 m/s² × 1.5 m = 1.47 J

b) Kinetic energy at the moment of collision of the apple:

Kinetic energy can be calculated using the formula:

K.E. = 1/2 mv² where m is the mass of the apple and v is the velocity of the apple.

Initially, the apple is at rest. The potential energy of the apple transforms into kinetic energy as the apple falls.The potential energy calculated above is transformed into kinetic energy when the apple reaches the ground.

Therefore,

1.47 J = 1/2 × 0.1 kg × v²v² = 2 × 1.47 J/0.1 kgv² = 29.4v = √29.4v = 5.42 m/s

c) Speed with which the apple hits the ground:

The velocity of the apple can be calculated as follows:

v² = u² + 2gh

where u is the initial velocity of the apple and h is the height from which the apple falls.

u² = v² - 2gh = 5.42² - 2 × 9.8 × 1.5 = 15.37u = √15.37u = 3.92 m/s

Therefore, the initial speed of the apple is 3.92 m/s and the speed with which the apple hits the ground is 5.42 m/s.

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Match the following –
a) High Wind Speed i) Rises up
b) Wind Current ii) Exerts a force of pressure
c) Hot Air iii) Uneven heating of land
d) Atmosphere iv) Reduced air pressure
e) Air Pressure v) decreases with increase in
temperature

Answers

Following are the matches:

a) High Wind Speed - ii) Exerts a force of pressure

b) Wind Current - i) Rises up

c) Hot Air - i) Rises up

d) Atmosphere - ii) Exerts a force of pressure

e) Air Pressure - iv) Reduced air pressure, v) decreases with increase in temperature

What are wind currents?

Wind currents are the horizontal movements of air in the atmosphere. They are caused by differences in air pressure and temperature, and are influenced by factors such as the Earth's rotation and the terrain.

Wind currents can range from light breezes to strong gusts, and can play a significant role in weather patterns and climate, as well as in the dissemination of pollutants and other atmospheric particles. They are also a major factor in the formation of storms, including hurricanes and typhoons.

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The boat's 'echo sounder' could not be used in an aeroplane to measure its heigh
above the ground unless it had been modified.

Answers

True, this is because the echo sounder that is applicable to boats cannot be used directly for airplanes

How does an echo sounder work?

By sending out sound waves and timing how long it takes for them to bounce back, an echo sounder, sometimes referred to as a sonar, is a device frequently used in boats to gauge the depth of the water beneath the craft.

When a sound pulse from an echo sounder strikes a solid item in the water, such as fish, vegetation, or other objects, the signal is reflected back to the surface.

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What is electrical resistance and types of electrical resistance

Answers

Answer:

Electrical Resistance is a measure of the opposition to current flow in an electrical circuit

Types: variable resistance and set resistance

Explanation:

FILL THE BLANK. The process by which an individual pursues important objectives by setting goals and monitoring progress is called self-_____.

Answers

The process by which an individual pursues important objectives by setting goals and monitoring progress is called self-regulation.

Self-regulation involves the ability to manage one's thoughts, emotions, and behaviors in order to achieve desired outcomes. It requires setting specific, measurable, attainable, relevant, and time-bound (SMART) goals and then actively monitoring and adjusting one's actions to stay on track.

Self-regulation encompasses various cognitive and behavioral processes, such as self-awareness, self-monitoring, self-control, and self-reflection. It involves being disciplined, persevering through challenges, and making adjustments when necessary.

By engaging in self-regulation, individuals can enhance their motivation, focus, and performance, leading to greater success in reaching their objectives. Self-regulation is a valuable skill that can be developed and honed through practice and self-awareness.

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A 0.225 kg block of iron at -28.7 °C is put in a cup of 0.150 kg of water at 18.9 °C. What is their equilibrium temperature?

Answers

Answer:

12.3°C should be the correct answer

Answer:

12.3

Explanation:

Which nanotechnology product would most likely help the
electronics company?
biomaterials
carbon wires
quantum dots
OLEDs

Answers

Answer: OLEDs

Explanation:

The nanotechnology uses the surface of the carbon materials to generate the electricity. The evaporation of water on the surface of carbon materials helps in generation of electrical energy due to generation of thermal energy.

OLEDs can be defined as solid-state devices that comprises of organic molecules like carbon that will create electricity by exposing a surface for generation of thermal energy.

3. A baseball player leads off the game and hits a long home run. The ball leaves the bat at
an angle of 30.00 from the horizontal with a velocity of 40.0 m/s. How far will it travel in
the air?

Answers

A baseball player launches a big home run to start the game. The ball leaves the bat with a speed of 40.0 m/s and an angle of 30.0° from the horizontal.

What is Projectile Motion?

An item or particle that is propelled into a gravitational field, for example from the surface of the Earth, and moves across a curved route only under the influence of gravity is said to be experiencing projectile motion. Most calculations make the assumption that the effects of air resistance are passive and insignificant in the specific instance of Earth projectile motion. The curving path of objects in projectile motion was proved by Galileo to be a parabola, but it could also be a straight line in the specific situation when it is hurled directly upwards. One such trajectory is a ballistic trajectory, which is the study of such motions.

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when you push a 1.70-kg book resting on a tabletop, it takes 2.16 n to start the book sliding. once it is sliding, however, it takes only 1.33 n to keep the book moving with constant speed. what is the coefficient of static friction between the book and the tabletop?

Answers

The coefficient of static friction between the book and the tabletop is 0.13.

The coefficient of static friction between the book and the tabletop can be calculated using the formula:

μs = Fs / N

Where μs is the coefficient of static friction, Fs is the force of static friction, and N is the normal force.

In this case, the force of static friction is the force required to start the book sliding, which is 2.16 N. The normal force is the weight of the book, which is 1.70 kg × 9.8 m/s2 = 16.66 N.

Plugging in the values into the formula, we get:

μs = 2.16 N / 16.66 N
μs = 0.13

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HELP!!!!
My science teacher is no help

A basketball player is dribbling a basketball at a speed of 10 mph. The basketball has a mass of 0.625 kg and a radius of 0.11 m. Calculate the angular momentum of the basketball.

Answers

In order to calculate the angular momentum of the basketball, we need to know the rotational speed of the ball. Since the ball is dribbled at a speed of 10 mph, we can assume that its rotational speed is much smaller than this. Let's assume that the rotational speed of the ball is r revolutions per minute (rpm).

The angular momentum of the ball is then given by the following formula:

L = I * w

Where I is the moment of inertia of the ball and w is its angular velocity.

The moment of inertia of a sphere is given by the following formula:

I = (2/5) * m * r^2

Where m is the mass of the ball and r is its radius.

Substituting these values into the formula for angular momentum, we get:

L = (2/5) * 0.625 kg * (0.11 m)^2 * r rpm

Solving for r, we get:

r = (5/2) * L / (0.625 kg * (0.11 m)^2)

Therefore, the angular momentum of the basketball is directly proportional to its rotational speed. If we want to increase the angular momentum of the ball, we would need to increase its rotational speed.

Can prolonged exposure to highly intense infrared light cause electrons to be ejected from a clean metal surface?

Infrared light doesn't have enough energy
electrons do not eject until the threshold frequency is reached, even after prolonged exposure; once the threshold frequency is reached, ejections take place immediately - supports a one to one relationship between the electrons and other particle
hypothesized that the energy radiated from a heated object, such as stove element or a light bulb filament, is emitted in discrete units, or quanta

Answers

No, prolonged exposure to highly intense cannot infrared light cause electrons to be ejected from a clean metal surface because Infrared light doesn't have enough energy. Option A is correct.

According to Einstein's photoelectric effect, prolonged exposure to highly intense infrared light cannot cause electrons to be ejected from a clean metal surface. The electrons do not eject until the threshold frequency is reached, even after prolonged exposure; once the threshold frequency is reached, ejections take place immediately and support a one to one relationship between the electrons and other particle.

The photoelectric effect is based on the hypothesis that the energy radiated from a heated object, such as a stove element or a light bulb filament, is emitted in discrete units, or quanta. The minimum energy required to eject an electron is determined by the threshold frequency. Infrared radiation is of lower frequency and cannot provide sufficient energy to overcome the threshold frequency.

Therefore, even if infrared radiation is exposed for a longer duration, electrons will not be ejected out of a clean metal surface. Thus, prolonged exposure to highly intense infrared light cannot cause electrons to be ejected from a clean metal surface.

Hence, Option A is correct.

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The [ Select ] the distance between the effort force and the fulcrum of a lever, the [ Select ] force is needed to complete the work. The [ Select ] the distance between the effort force and the fulcrum of a lever, the [ Select ] the mechanical advantage, making the work easier.

Answers

Answer:

Answer in explanation

Explanation:

What we want to do here is to basically put in words in the select pane that could actually beat complete the question.

The higher the distance between the effort and the function of a lever, the higher the force needed to complete the work.

The smaller the distance between the effort force and the fulcrum of a lever, the smaller the mechanical advantage , making the work easier

Which approach is currently prroving to be the most promising in determing how life?

Answers

The approach which currently is proving to be the most promising in determining how life on earth originated is the laboratory simulations of conditions present on the early earth.

The conditions that were present on the early earth were:

High temperature,Reducing atmosphere with no free oxygen,Volcanic eruptions, and many more.

The laboratory simulations of conditions on early earth was a chemical experiment named as Miller-Urey experiment, which in 1952 simulated the conditions that were present on the early earth.

In 1952, Stanley Miller and Harold Urey simulated the conditions of early Earth by sealing water, methane, ammonia and hydrogen in a glass flask. Then they applied electrical sparks to the mixture.

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A skater moves with 15 m/s velocity in a circle of radius circle of radius 30 m. The ice exerts a center force of 450 N. What is the mass of the skater?

Answers

he Hsb hejs us su she ejjj

When the liquid line is restricted, the supply of refrigerant to the metering device is reduced. What is the effect on suction pressure and superheat

Answers

Answer:

The suction pressure decreases and the superheat increases when the liquid line is restricted and the supply of refrigerant to the metering device is reduced.

Explanation:

1. The five components of refrigeration are:

Fluid refrigerantCompressorCondenser coilEvaporator coilExpansion device.

       The compressor limits the vapor released by the refrigerant. This            

       causes a rise in pressure (in refrigerant), which then pushes the  

       vapor into the coils on the outside of the refrigerator.

2. Now when the cooler air meets the warm gas present in the coils, it

   gets converted into liquid form.

3. Thus, when the liquid form is at high pressure, the refrigerant then  

   cools down as it flows through the coils placed in the fridge ( in both

   freezing and normal sections).

4. The refrigerant also absorbs the warm air present in the fridge, which  

   causes it to evaporate and flow back through the compressor and the

   cycle repeats in the same form.

Thus, when the liquid line is restricted and the supply of refrigerant to the metering device is reduced it causes a decrease in suction pressure and an increase in superheat.

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what is the acceleration due to gravity on a 9.8 x 1026 kg planet that has a radius of 2.8 x 107 m?

Answers

The acceleration due to gravity on this planet would be 6.69 m\(s^{-2}\). This can be calculated using the equation: g = G * (M\(r^{-2}\)).

What is acceleration?

Acceleration is the rate at which an object's velocity changes over time. It is a vector quantity, which means it has a magnitude (or size) as well as a direction. It is usually expressed in m\(s^{-2}\).

Steps for Calculating the Acceleration Due to Gravity on a Different Planet

Step 1: Identify the mass and radius of the planet.

Step 2: Calculate the acceleration due to gravity on the surface of that planet using the equation- g= GM/\(R^{2}\), where G is the universal gravitational constant (6.67 x \(10^{-11}\) \(m^{3}\) \(kg^{-1}\)\(s^{-2}\)), M is the mass of the planet (9.8 x \(10^{26}\) kg), and r is the radius of the planet (2.8 x \(10^{7}\) m).

g= (6.67408 * \(10^{-11}\) N\(m^{2}\) \(kg^{-2}\)) * (9.8 * \(10^{26}\) kg)/ (2.8 * \(10^{7}\) m) = 6.69m\(s^{-2}\).

The acceleration due to gravity will be in meters per second per second.

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Two cars collide head-on and stick together.
Car A, with a mass of 2000 kg, was initially
moving at a velocity of 10 m/s to the east. Car
B, with an unknown mass, was initially at rest.
After the collision, both cars move together at
a velocity of 5 m/s to the west. What is the
mass of Car B?

Answers

Two cars collide head-on and stick together Car A, with a mass of 2000 kg then the mass of Car B is 3000 kg.

The law of conservation of momentum can be used to find the mass of Car B after the collision.

Momentum is a quantity that is conserved in an isolated system in physics.

The law of conservation of momentum states that in a system, the total momentum remains constant unless acted upon by external forces.

The initial momentum of the system is given by the sum of the momentum of Car A and Car B.

Car A has a mass of 2000 kg and is moving to the east at a velocity of 10 m/s, therefore its momentum is: Momentum of Car A = mass of Car A x velocity of Car A= 2000 kg x 10 m/s = 20,000 kg·m/s

Car B is at rest initially, so its momentum is zero.

Therefore, the initial momentum of the system is 20,000 kg·m/s.

To calculate the final momentum of the system, we need to know the mass of Car B.

Let the mass of Car B be represented by m.

The final momentum of the system is the sum of the momentum of Car A and Car B after the collision.

After the collision, the two cars stick together and move at a velocity of 5 m/s to the west.

The momentum of the system after the collision is: Momentum of system after collision = (mass of Car A + mass of Car B) x velocity of the two cars= (2000 kg + m) x (-5 m/s)

The negative sign indicates that the velocity is in the opposite direction to that of Car A, which was moving to the east.

By applying the law of conservation of momentum, we can equate the initial momentum of the system to the final momentum of the system.

That is,20,000 kg·m/s = (2000 kg + m) x (-5 m/s)

Solving for m gives: m = 3000 kg

Therefore, the mass of Car B is 3000 kg.

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A girl attempts to swim directly across a stream 15meters wide. When she reaches the other side, she is15 meters downstream. The magnitude of herdisplacement is closest to

Answers

x
=

15
2
+
15
2

x
=
15

2
QED.

The pecific heat of a liquid X i 2. 09 cal/gC. A ample gram of thi liquid at 101 K i heated to 225K. The liquid aborb 5. 23 jack. What i the ample of liquid in gram?

Answers

The amount of sample of liquid in grams when its temperature is raised is calculated to be 20 g.

The term specific heat capacity refers to the amount of heat needed to raise a substance's temperature by one degree Celsius.

Q = m c Δt  

Q = 5.23 kcal of heat are absorbed by fluids = 5230 cal

C = heat capacity of liquid = 2.09 cal/g °C

Initial temperature of the liquid T i = 101 K

Final temperature of the liquid T f = 225 K

Change in temperature, Δt = T f - T i = 225 - 101 K = 124 K

Putting in the values, we get:

5230 = m × 2.09 cal/g °C × 124 K  

m = 20 g

The given question is incomplete. The complete question is 'The specific heat of a liquid x is 2.09 cal/g°c. A sample amount of grams of this liquid at 101 k is heated to 225 k. the liquid absorbs 5.23 k cals. what is the sample of liquid in grams? (round off decimal in the answer to nearest tenths)'

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Keisha has two large dogs and a small dog. The dogs like to play tug-the-rope together. Each of these three diagrams shows one way that the dogs play together with the rope. Look at each arrow and the number that goes with it. They show the direction and amount of force each dog exerts on the rope.

Answers

In the first diagram both dogs are pulling with the same force from opposite sides. Hence, balance each other and no displacement to the rope. In the second diagram force to the left dominates. A net force of 8 N to the left, pull the rope to left direction.

What is force ?

Force is an external agent acting on a body to change its motion or to deform it. The net force acting on the body depends on the direction and magnitude of all  the force acting on it.

If two equal forces acts on the body from the same side they add up together and the net force is their sum. If the forces are acting from the opposite sides, they will cancel each other and is said to be balanced.

In the first diagram, both dogs are pulling the rope with 12 N from opposites sides and the forces gets canceled each other.

In the second diagram, the force to the left dominates by 8 N. Then, the net force is 8N to the left. In the third case, both dogs are pulling from the same side. Hence, the net force is 32 N to the right.

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Your complete question is:

Explain whether the forces shown in each diagram are balanced or unbalanced.

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Keisha has two large dogs and a small dog. The dogs like to play tug-the-rope together. Each of these
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