Consider the cooling curve above. The substance is changing state from a gas to a liquid to a solid. As the temperature changes we also know that

A total differential is an equation in which all the differentials can be integrated independently of each other. To verify that the given expressions are total differentials, we must check if they meet the conditions of being an exact differential function.The given expression is not an exact differential function.

According to the exact differential function, an expression dQ should be equal to the sum of two partial derivatives of the same function. i.e, dQ= dP+ dRA primitive function of an expression is obtained by integrating the given expression partially. Let's solve the given expressions, one by one:

1. Expression : (x² + 2xy-y²)dx + (x²-2xy - y²)dy. Now, we need to find the partial derivatives of the above function with respect to x and y.∂P/∂x = x² + 2xy - y²  ∂Q/∂y = x² - 2xy - y².

On verifying, we get:∂P/∂x = ∂Q/∂y.

Hence, the given expression is an exact differential function.

To find the primitive function, we need to integrate any one of the partial derivatives with respect to x and other with respect to y.

∴ P(x,y) = ∫(x² + 2xy - y²)dx = x³/3 + x²y - xy² + C1 and ∴ Q(x,y) = ∫(x² - 2xy - y²)dy = x²y - y³/3 + C2.

Therefore, the primitive function of the expression is: P(x,y) = Q(x,y) = x³/3 + x²y - xy² - y³/3 + C2.

Expression : (2xcosy - y² sinx) dx + (2ycosx - x² siny) dy. Now, we need to find the partial derivatives of the above function with respect to x and y.∂P/∂x = 2cosy  ∂Q/∂y = 2ycosx.

On verifying, we get:∂P/∂x ≠ ∂Q/∂y .

Hence, the given expression is not an exact differential function.

Therefore, there does not exist a primitive function for the given expression.

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The amount of force is referred to as the magnitude of a force. Hence, option B is correct.

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Answer:

Explanation:

Given,

Speed of a car = 25 km

Converting 25 km into m

\( \sf{1km = 1000m}\)

\( \sf{25 \: km = 25 \times 1000m = 25000m}\)

Time taken ( t ) = 15 minutes

Converting minutes into seconds

\( \sf{1 \: minutes = 60 \: seconds}\)

\( \sf{15 \: minutes = 15 \times 60 sec = 900 \: seconds}\)

Finding the speed of the car

\( \boxed{ \sf{speed = \frac{distance \: travelled}{time \: taken} }}\)

\( \sf{ = \frac{25000 \: m}{900 \: s} }\)

\( \sf{ = 27.78 \: m/s}\)

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The following Celsius temperatures to Kelvin

a} The boiling point of liquid hydrogen -252.87C is 20.28K

b} The temperature of a winter day in the north pole -40.0C is 233.15K

c} The melting point of gold 1064C is 1337.15K

Temperature is defined as the physical quantity that quantitatively expresses the perception of hotness and coldness which is measured with a thermometer.

For the conversion of Celsius to Kelvin, the following formula is used

Kelvin = Celsius + 273.15.

For above given example,

Conversion of Liquid hydrogen into Kelvin= -252.87+273.15= 20.28K

Conversion of temperature of a winter day into Kelvin= -40+273.15= 233.15K

Conversion of Melting point of Gold into Kelvin= 1064+273.15= 1337.15K

Thus, following are the conversion:

a} The boiling point of liquid hydrogen -252.87C is 20.28K

b} The temperature of a winter day in the north pole -40.0C is 233.15K

c} The melting point of gold 1064C is 1337.15K

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The effective resistance of any circuit can be obtained by summing the individual resistance or taking the sum of their reciprocals.

The effective resistance of a circuit is calculated depending on the circuit arrangement.

For series circuit arrangement, the effective resistance is calculated as;

Re = R₁ + R₂ + R₃ + -----

Where;

For parallel circuit arrangement, the effective resistance is calculated as;

1/Re = 1/R₁ + 1/R₂ + 1/R₃

Where;

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Answer:

175

Explanation:

its for Acellus

The potential difference is V=1.743*10^-7

The voltage is generally referred to as the electric potential difference and  it can be measured using a voltmeter. The electrical potential difference between the two plates is expressed as q=CV.

CALCULATION

we know,

q=CV

q={EA/d}*V

here q= 5.24*10^-8C

       A=8.22*10^-5m^2

       d=2.42*10^-8m

therefore , C={( 8.85*10^-12)*(8.22*10^-5)}/(2.42*10^-8)

                 C=3.006*10^-1

q=CV

q/C=V

V=1.743*10^-7

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Answer:

Option A. 500

Explanation:

From the question given, we obtained the following:

Numbers of home with pet dogs = 250

Percentage with pet dogs = 50%

Total number of homes =.?

Thus, we can obtain the total number of homes represented by the chart as follow:

Let T be the total number of Homes.

Number of homes with dog = percentage of homes with dog × total number

Numbers of home with pet dogs = 250

Percentage with pet dogs = 50%

Total number of homes = T

250 = 50% × T

Divide both side by 50%

T = 250 ÷ 50%

T = 250 ÷ 50/100

T = 250 × 100/50

T = 250 × 2

T = 500

Therefore, the total number of homes represented by the chart is 500.

Answer:

Three thousand seven hundred fifty hours

The average velocity of the plane during the total time is 16.7 km/hr.

The initial velocity of the plane, v₁ = 390 km/hr

The time taken for this travel, t₁ = 5 hours

The final velocity of the plane, v₂ = -450 km/h

The time taken for this travel, t₂ = 4 hours

The initial displacement of the plane, d₁ = v₁ x t₁

d₁ = 390 x 5

d₁ = 1950 km

The final displacement of the plane, d₂ = v₂ x t₂

d₂ = -450 x 4

d₂ = -1800 km

The average velocity of an object is the constant velocity that, over a certain amount of time, would produce the same resultant displacement as a variable velocity in the same time frame of reference.

The average velocity of the plane during the total time is given by,

Average velocity = total displacement/total time

v = (d₁ + d₂)/(t₁ + t₂)

v = (1950 + -1800)/(5 + 4)

v = 150/9

v = 16.7 km/hr

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Your question was incomplete, but most probably your question would be:

A plane travels at +390 km/h for 5 hours, and then at -450 km/h for 4 hours.  What is the plane's average velocity over the 9 hours of the flight?

Answer: A

Explanation:

The more current flows through a bulb, the brighter the bulb and vice versa. Resistance and current are inversely proportional to each other. Since 100W lamp is brighter, more current flows through it, thus meaning that its resistance is lower than that of the 25W lamp.

The electrical resistance of the 100-W lamp is Less. The correct option is A.

The electrical resistance of a lamp is determined by its physical properties such as the length and cross-sectional area of its filament. A 100-W lamp glows brighter than a 25-W lamp because it is designed to dissipate more power as light energy, indicating that the 100-W lamp has a lower resistance than the 25-W lamp.

This is because, according to Ohm's Law, the power dissipated by a resistive element is equal to the square of the current passing through it multiplied by its resistance. If the power is increased, the current passing through the lamp will also increase, and in order to maintain the same voltage across the lamp, the resistance must decrease. Therefore, the electrical resistance of the 100-W lamp is less than that of the 25-W lamp.

Therefore the correct option is A.

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Answer:

The cap expanded

Explanation:

As you run hot water (Or any substance) onto something it expands, With coldwater it shrinks. Its like clothes, If a shirt is to small wash it in hot water. If it is to big run it in cold water.

The ways that the motor design would be improved have been written below

Here are two ways to improve the design of the motor and make it spin faster:

Increase the number of turns on the coil: The coil of wire in the motor generates a magnetic field when electric current flows through it. By increasing the number of turns in the coil, the magnetic field will be stronger, which will cause the motor to spin faster. This is because the force that causes the motor to spin (called the torque) is proportional to the strength of the magnetic field.

Increase the voltage of the battery: The battery in the motor provides the electric current that flows through the coil and generates the magnetic field. By increasing the voltage of the battery, more current will flow through the coil, which will increase the strength of the magnetic field and cause the motor to spin faster. This is because the torque is also proportional to the amount of current flowing through the coil.

Overall, by increasing either the number of turns on the coil or the voltage of the battery (or both), the students can increase the strength of the magnetic field and the amount of torque generated by the motor, which will make it spin faster.

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When the angle of incidence of a ray is greater than the critical angle, the refracted ray is in the same medium, i.e., the light is totally reflected in the same medium. This is known as total internal reflection.

Total internal reflection is a phenomenon that happens when a ray of light moves from a dense medium towards a less dense medium (for example, air). When the angle of incidence becomes greater than the critical angle, the light does not refract. Instead, it is totally reflected in the same medium. This is known as total internal reflection.

The critical angle is the minimum angle of incidence that causes total internal reflection to occur. When the angle of incidence is equal to the critical angle, the refracted ray will travel along the surface of the medium separating the two media, while the angle of refraction will be 90°.

Therefore, we can say that the given situation is known as total internal reflection.

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Answer:

3m/s²

Explanation:

final velocity - initial velocity

______________________ = Acceleration

           elapsed time

A downhill skier reaches the steepest part of a trail. Her speed increases from 9 m/s to 18 m/s in 3 seconds.  Her average acceleration is 3 m/sec².

The rate at which an item changes its velocity is known as acceleration, a vector quantity. If an object's velocity is changing, it is acceleration.The net acceleration that objects get as a result of the combined action of gravity and centrifugal force is known as the Earth's gravity, or g. It is a vector quantity whose strength or magnitude is determined by the norm and whose direction correlates with a plumb bob.

Average acceleration = (18 -9)/3 = 3 m/sec²

A downhill skier reaches the steepest part of a trail. Her speed increases from 9 m/s to 18 m/s in 3 seconds.  Her average acceleration is 3 m/sec².

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Answer:

Polar molecules occur when there is an electronegativity difference between the bonded atoms. Nonpolar molecules occur when electrons are shared equal between atoms of a diatomic molecule or when polar bonds in a larger molecule cancel each other out.

Explanation:

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If F = 37 N, the static frictional force between the block and the table and the minimum force required to move it must be equal.

It is the force that regulates itself. The value of static friction varies from zero to the smallest force required to initiate motion. The formula for determining static friction is as follows: Normal Force divided by the static friction coefficient is static friction.

Although the maximum static friction will rise, the frictional force will always be the same as the weight in mg because friction cannot accelerate an object. Because FrN can take any value less than N to balance the weight, this is the case.

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Answer:

tốt ý bạn là gì?

Explanation:

Newton's Second Law of Motion states that the net force acting on an object is directly proportional to its acceleration. The proportionality constant, which is the object's mass, gives the equation ma = f (force equals mass times acceleration). This means that if a force is applied to an object with a certain mass, it will accelerate proportionally to the magnitude of the force.

Applying Newton's Second Law of Motion allows us to determine the force required to move an object of a certain mass a certain distance. We can also use it to calculate the acceleration of an object given its mass and the force acting on it. The second law states that the acceleration of an object is proportional to the force applied to it and inversely proportional to its mass. If the mass of the object remains constant, the acceleration produced is directly proportional to the force applied.

The second law also tells us that if a net force is acting on an object, it will accelerate in the direction of that force. This law can be used to explain the motion of objects in both linear and rotational motion. For example, when a bat hits a ball, the force of the bat on the ball causes it to accelerate, and the ball moves in the direction of that force. In summary, applying Newton's Second Law of Motion is a powerful tool for understanding the motion of objects and how they respond to forces acting on them.

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The angular position of first-order maximum: θ1 = 0.00116 radians, for second-order maximum: θ2 = 0.00231 radians. Intensity at θ1 with slit width b = 0.310 mm and the same goes for Intensity at θ2.

1. To determine the angular position of the first-order interference maximum, we can use the formula for the angular position of the maxima in a double-slit interference pattern: \(sin(\theta) = m * \lambda / d\), where m is the order of the maximum, \(\lambda\) is the wavelength of light, and d is the distance between the slits.

Given a wavelength of 510 nm (or \(510 * 10^{(-9)}\) m) and a slit separation of 0.450 mm (or\(0.450 * 10^{(-3)}\) m), and considering the first-order maximum (m = 1), we can calculate the angular position:

\(sin(\theta) = (1 * 510 * 10^{(-9)}) / (0.450 * 10^{(-3)})\\\theta = arcsin((1 * 510 * 10^{(-9)}) / (0.450 * 10^{(-3)}))\)

2. To determine the angular position of the second-order interference maximum, we use the same formula but with m = 2:

\(sin(\theta) = (1 * 510 * 10^{(-9)}) / (0.450 * 10^{(-3)})\\\theta = arcsin((1 * 510 * 10^{(-9)}) / (0.450 * 10^{(-3)}))\)

3. If the slits have a width of 0.310 mm (or \(0.310 * 10^{(-3)}\) m), the intensity at the angular position of theta1 can be calculated using the formula for the intensity in a double-slit interference pattern:

\(I(\theta) = I0 * (cos^2(\pi * b * sin(\theta) / \lambda)) / (\pi^2 * (b * sin(\theta) / \lambda)^2)\)

Where I0 is the intensity at the centre of the central maximum and b is the width of the slit.

4. Similarly, the intensity at the angular position of \(\theta2\) can be calculated using the same formula.

Please note that the specific values for \(\theta1\) and \(\theta2\) can only be calculated by substituting the respective values into the equations provided.

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The true cost of cheap fashion is much higher than the price tag on the clothing item. The environmental, social, and economic impacts of fast fashion are significant and long-lasting. It is essential to consider the true cost of our clothing choices and make more sustainable and ethical choices to protect our planet and its people.

Firstly, the environmental impact of fast fashion is enormous. The production of clothing requires a lot of water, energy, and resources, leading to a significant carbon footprint. Additionally, the use of toxic chemicals in textile production and the disposal of textile waste contribute to water pollution and soil contamination.

Secondly, the social impact of cheap fashion is also concerning. Fast fashion relies on exploitative labor practices, with many garment workers being paid low wages and working in unsafe and unhealthy conditions. Moreover, the fast fashion industry promotes a culture of overconsumption, which has led to a throwaway culture where clothing items are disposed of after just a few wears.

Lastly, the economic impact of fast fashion is complex. While the industry creates jobs and boosts economies in developing countries, it also perpetuates a system of exploitation and inequality. The pressure to produce cheap clothing quickly often results in worker exploitation and underpayment, contributing to poverty and inequality.

In conclusion, the true cost of cheap fashion is much higher than the price tag on the clothing item. The environmental, social, and economic impacts of fast fashion are significant and long-lasting. It is essential to consider the true cost of our clothing choices and make more sustainable and ethical choices to protect our planet and its people.

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Answer:

Magnesium phosphate | Mg3(PO4)2

Explanation:

The formula for the compound that forms between magnesium and phosphorous is Mg3(PO4)2

Answer:

P = 5880  J

Explanation:

Given that,

The mass of the block, m = 30 kg

The block is sitting at a height of 20 m.

The block will have gravitational potential energy. The formula for gravitational potential energy is given by :

\(P=mgh\\\\=30\times 9.8\times 20\\\\=5880\ J\)

So, the required potential energy is equal to 5880  J.

From the calculation, we can conclude that both race car A and B have the same magnitude of velocity but accelerate at different magnitude

VELOCITY AND ACCELERATION

The rate of change of displacement is called Velocity. While acceleration is the rate of change of velocity.

Given that  a race Car A accelerates on a straight track from 0 to 100 kilometers/second in 6 seconds.

Since acceleration = \(\frac{Change in velocity}{time taken} \)

a = 1000(100 - 0)/6

a = 100000/6

a = 16666.67 m/\(s^{2} \)

And race Car B accelerates on a straight track from 0 to 100 kilometers/second in 5 seconds.

acceleration =  \(\frac{Change in velocity}{time taken} \)

a = 1000(100 - 0)/5

a = 100000/5

a = 20000 m/\(s^{2} \)

From the calculation above, we can conclude that both race car A and B have the same magnitude of velocity but accelerate at different magnitude.

Race car A accelerates at 16666.67 m/\(s^{2} \), while race car B accelerates at 20000 m/\(s^{2} \)

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Answer:

u would need to calculate both K. E and P. E

Explanation:

for K. E use = (mv^2)/2

for P. E use = m×g×h ;

where g is acceleration due to gravity and it's value is 10m/s^2

Answer:

By charging the two bodies oppositely by any electrostatic method such as induction, or rubbing.

Answer:

100 N

Explanation:

For ONE bullet ( .025 kg)

 fired to 1000 m/s   in  .25 s   ( four per second)

     acceleration = 1000 m/s   /  .25 s = 4000 m/s^2

then F = ma

           = .025 kg * 4000 m/s^2 = 100 N

Answer:

Produce energy, or make carbohydrates or fats.

Explanation:

ita called hematopoiesis

Hi there!

Kinetic energy can be calculated using the following:

\(\large\boxed{KE = \frac{1}{2}mv^2}}\)

Where:

KE = Kinetic energy (J)

m = mass (kg)

v = velocity (m/s)

Plug in the given values:

\(KE = \frac{1}{2}(625)(10^2) = \boxed{31250J}\)