Suppose you used a hot pot to convert a 150 g piece of ice that was initially at -15°C into liquid water at 50°C.
a. Represent this process in one complete energy-system diagram covering the entire interval. b. How much heat is added to complete this entire process?
c. if your hot pot has a power rating of 600 watts, show how to find how long it will take to complete the process. (make sure you are comfortable using standard units of energy, and that you understand the relation of power to energy. hint: what are watts?)

(a) Work function of the metal is 2.74 eV. (b)  maximum speed of the ejected electrons is 1.15 x 10^6 m/s (1.15 million m/s)

The work function is the minimum energy required to remove an electron from the surface of a metal.

AS, Work function (Φ) = hν - eV0

(V0) is stopping potential  and  (ν) is the frequency of the incident light

Given, wavelength of the incident light is 437 nm,

ν = c / λ = 3.00 x 108 m/s / 437 x 10-9 m = 6.87 x 1014 Hz

Hence, Φ = hν - eV0 = 6.626 x 10-34 J ∙ s * 6.87 x 1014 Hz - 1.60 x 10-19 C * 1.67 V = 4.36 x 10-19 J = 2.74 eV

So the work function of the metal is 2.74 eV.

(b) Maximum speed of the ejected electrons can be calculated using the formula: Vmax = √(2eV0/mel)

Vmax is the maximum speed of the ejected electrons, e is charge of an electron, V0 is stopping potential and mel is mass of the electron.

Vmax = √(2 * -1.60 x 10^-19 C * 1.67 V / 9.11 x 10^-31 kg) = 1.15 x 10^6 m/s

So, the maximum speed of the ejected electrons is 1.15 x 10^6 m/s (1.15 million m/s)

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(a) The electric field strength inside the capacitor is 2,519.35 N/C.

(b) The smallest possible spacing between the plates is 2 cm.

The time of motion of the electron is calculated as follows;

X = Vₓt

t = X / Vₓ

where;

t = ( 0.04 m ) / ( 5 x 10⁶ x cos 45 )

t = 1.13 x 10⁻⁸ s

The force of the electron is calculated as follows;

F = mv / t

where;

F = ( 9.11 x 10⁻³¹ x 5 x 10⁶ ) / ( 1.13 x 10⁻⁸ )

F = 4.03 x 10⁻¹⁶ N

The electric field strength inside the capacitor is calculated as follows;

E = F / q

E = ( 4.03 x 10⁻¹⁶  ) / ( 1.6 x 10⁻¹⁹ )

E = 2,519.35 N/C

The smallest possible spacing between the plates is calculated as follows;

vertical acceleration of electron;

a = ( Vy ) / t

a = ( 5 x 10⁶  x sin45 ) / ( 1.13 x 10⁻⁸ )

a = 3.13 x 10¹⁴ m/s²

The vertical displacement of the electron;

0 = Vy² - 2ay

y = Vy² / 2a

y = ( 5 x 10⁶ x sin 45 )² / ( 2 x  3.13 x 10¹⁴ )

y = 0.02 m

y = 2 cm

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The machine does 3000 J of work.

This is 80% of the energy that was put into the machine.

3000 J = 0.80 x (Input energy)

Divide both sides of the equation by 0.80 .

Input energy = 3000 J / 0.8

Input energy = 3750 J

The wall reaction at point A in newton is most nearly calculated to be equal to 60 N.

Wall reaction means that when you push on a wall, the wall pushes back on you with force equal in strength to the force you exerted.

Cylinder is in a state of static equilibrium, which means that net force and net torque acting on it are both zero. Force exerted by the wall at point A is equal in magnitude but opposite in direction to force exerted by the cylinder on wall at point A. Since the cylinder is not accelerating, net force acting on it is zero.

Since the force exerted by the wall at point A is equal in magnitude but opposite in direction to the weight of the cylinder, we say that the wall reaction at point A = 1/2 * weight of cylinder = 1/2 * 120 N = 60 N.

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The electric field strength from the origin is  1.95 x 10¹² q ( N/C ).

The electric field of a charged particle is the region of space where the influence of electric force is felt.

Mathematically, the formula for electric field strength is given as;

E = kq / r²

where;

The electric field strength from the origin is calculated as follows;

E = ( 9 x 10⁹ x q ) / ( 0.068 m )²

E = 1.95 x 10¹² q ( N/C )

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Single-touch method: The magnetic substance is moved from one end to the other by rubbing a magnet along it.

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The white residue on aquariums could be mineral , such as hard water stains, and it formed as a result of the hard substance remaining after water evaporation. It is from the water, and to remove it, a white vinegar and water mixture should be used.

Its significance includes that an aquarium can be a place for people to learn about aquatic animals, for the conservation of some animals, for entertainment, and also for use in research proposals, etc.

Hence, the white residue on aquariums could be mineral , such as hard water stains, and it formed as a result of the hard substance remaining after water evaporation. It is from the water, and to remove it, a white vinegar and water mixture should be used.

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The final momentum of the t-shirt can be evaluated by multiplying the mass of the t-shirt (from part a) by its final velocity (from part b). Final momentum = (1.0 kg) x (20.0 m/s) = 20 kg m/s.

Final momentum is the momentum of an object after it has been acted upon by an external force. It is calculated by taking the initial momentum of an object and adding or subtracting the force of the external force to determine the final momentum. The final momentum is equal to the initial momentum plus the change in momentum caused by the external force. Final momentum can be calculated using the equation pfinal = pinitial + FΔt, where pfinal is the final momentum, pinitial is the initial momentum, F is the force of the external force, and Δt is the change in time caused by the force.

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The speed of the car will remains the same but the direction will be changed, if the force applied by the wall is 20 N for 0.2 s.

Mass of the toy car, m = 2 kg

Initial velocity of the car, v₁ = 1 m/s

The force applied by the car, F = 20 N

Duration of the applied force, Δt = 0.2 s

So the impulse applied by the wall, = F×Δt = 20 × 0.2 = 4 N-s

We know, impulse =  change in momentum

Let the final velocity of the car is v, then

4 = m₁v₁ - m₁v₂

4 = 2 × 1 - 2 × v₂

4 = 2 - 2v₂

v₂ = (4-2)/-2 = -1 m/s

So v₂ = -1 m/s

A negative sign indicates that the direction of the car will be opposite to the initial velocity.

Hence the correct option is C.

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A) The initial velocity of the ball is 20.14 m/s, B) the height of the ball when it passes over player B is 11.36 ft.

Let the initial velocity of the basketball, = v

Horizontal component, = vcos30 = 0.866 v

Vertical component, = vsin30 = 0.5 v

Horizontal distance travelled by the ball, H = 25 + 4.5 = 29.5 ft

We know vcos30 × t = 29.5

vt = 29.5/0.866 = 34.06 ft

vt = 34.06

Now by the third equation of motion, vertical height(10 - 7 =3 ft) travelled by the vertical component of the ball

(10 - 7) = vsin30 × t - 0.5gt²

3 = 0.5vt - 0.5 × 9.81 × t²

we know vt = 34.06

3 = 0.5 × 34.06 - 4.9t²

t = 1.69 sec

So, v = 34.06/1.69 = 20.14 m/s

Now part B,

Height of the ball above the player B, = h

horizontal range, R = 25 ft

Time taken to reach 25 ft = 25/(20.14 cos30)

= 25/17.44 = 1.43 sec

vertical distance travelled by the ball in 1.43 sec,

d = 20.14×sin30×1.43 - 0.5 × 9.81 × 1.43²

d = 4.37 ft

Total height above the ground, H = 7 + 4.37 = 11.34 ft.

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Answer: d

Btw if you get it wrong, sry.. :(

I think its d because overly permissive means that you give people freedom and if a parent gives their kid freedom they would be very dependent and immature. (freedom as in the parent dosen't care what the kid does and gives into the kid.)

The magnitude and direction of the ball's total displacement is 119.6 cm and 29.8⁰ respectively.

The magnitude of the ball's total displacement is calculated by applying the following formula.

The sum of the horizontal displacement is calculated as follows;

∑X = 83 cm x cos (90)    +    57 cm  x  cos (159)  +  67 cm x cos (221)

∑X = -103.78 cm

The sum of the vertical displacement is calculated as follows;

∑Y = 83 cm x sin (90)    +    57 cm  x  sin (159)  +  67 cm x sin (221)

∑Y  = 59.47 cm

The magnitude of the displacement is calculated as follows;

d = √ [ ( -103.78 )² + ( 59.47)² ]

d = 119.6 cm

The direction of the displacement is calculated as follows;

θ = arc tan ( 59.47 / 103.78 )

θ = 29.8⁰

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True. Skills, which include balance and reaction time, are the talents or abilities that allow one to perform task.

Skills are the ability to perform a task due to training and experience.

The term skill is used to describe specific action or level of performance of an individual.

There are three types of skills and they include;

Functional skills are abilities or talents that are inherited at birth and developed through experience and learning

Thus, we can conclude that Skills, which include balance and reaction time, are the talents or abilities that allow one to perform task.

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Traces gases and heavy elements are the examples of the substances that could be in the earths spectrum. They cannot be detected because the technology to do this is not available.

There are several substances that could be present in Earth's spectrum, but it is difficult to say that they are definitely present due to the limitations of current technology and methods for detecting and analyzing these substances. Some examples include:

Trace gases: Gases such as methane, nitrous oxide, and carbon monoxide can be present in small concentrations in the Earth's atmosphere, but it is difficult to detect them with high accuracy due to the limitations of current sensing technology.

Heavy elements: Elements such as gold, platinum, and mercury are present in trace amounts in the Earth's crust, but it is difficult to detect them using current analytical methods.

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Inferential statistics is used to determine whether a process that fills bottles with soda is working properly by weighing a sample of bottles, so the given statement is true.

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Since the velocity at the highest location is 0, we are searching for the beginning velocity. The kangaroo will thus be moving vertically at a speed of 7 m/s when it leaves the ground.

The formula v = may be used to determine a kangaroo's vertical speed as it takes off from the ground (2gh). where h is the height of the kangaroo's leap, g is the acceleration caused by gravity (9.8 m/s2), and v is the vertical speed (2.5 m). After entering the numbers, we obtain the following: v = (49) = 7 m/s (2 * 9.8 * 2.5)

Therefore, the kangaroo's vertical speed when it lifts off the ground is 7 metres per second.

The equation t = (2h/g), where t is the duration in the air and h is the height the kangaroo is jumping from, may be used to determine how long it has been in the air (2.5 m). The values are entered, and the result is: t = ((2 * 2.5 / 9.8)) = (0.51) = 0.71 s.

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Formula for acceleration:

[tex]a=\dfrac{Vf-Vi}{t}[/tex]

acceleration(measured in m/s^2) = Final velocity(measured in m/s) - Initial velocity(measured in m/s) / time(measured in seconds)

__________________________________________________________

Given:

[tex]Vi=40m/s[/tex]

[tex]Vf=12m/s[/tex]

[tex]t=30s[/tex]

[tex]a=?[/tex]

__________________________________________________________

Finding acceleration:

[tex]a=\dfrac{Vf-Vi}{t}[/tex]

[tex]a=\dfrac{12-40}{30}[/tex]

__________________________________________________________

Answer:

[tex]\fbox{a = -0.93 m/s squared}[/tex]

The final current will be 32.7 A and Yes, the fuse will melt if the microwave and the coffeemaker are both on at the same time.

How to determine current and whether or not a fuse has melted?

To determine the current, we can use Ohm's Law, which states that current (I) is equal to power (P) divided by voltage (V).

I = P/V

The total power of the three appliances is 1800 W + 1000 W + 800 W = 3600 W.

Therefore, the current is:

I = 3600 W / 110 V = 32.7 A

The fuse is rated at 20 A, so it will melt if the current exceeds 20 A. Since the current is 32.7 A, the fuse will melt if the microwave and the coffeemaker are both on at the same time.

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When the same force was supplied to the loaded and unloaded cars, the loaded car accelerated less, which was visible since the laden car arrived at the track's finish more slowly. and after a little while, she started moving less swiftly.  so Option B  and option Dare correct

The rate at which an object's velocity with respect to time changes is referred to as the mechanics of acceleration. Acceleration is a vector quantity (in that they have magnitude and direction). The direction of an object's acceleration is determined by the direction of the net force acting on it.According to Newton's Second Law, an object's acceleration is determined by a combination of two factors: its mass, which depends on the materials it is made of, and the net balance of all external forces acting on it. The magnitude of an object's acceleration is inversely proportional to the mass of the object.

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The amount of energy required to compress spring A and spring B would be the same.

Energy is the capacity to do work. It is the ability to cause change and is found in many forms, including chemical, electrical, mechanical, nuclear, radiant, and thermal energy. It is often referred to as the "lifeblood" of our modern society, as it is necessary for everything from powering homes and businesses, to providing energy for transportation and communication.

This is because the springs are identical and the amount of compression (d) is the same. The masses of the objects don't affect the energy required to compress the springs since the objects are lying on a frictionless surface and will not resist the springs being compressed.

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The buoyant force forms a newton's third law pair with the force of gravity on the object helps explain why the buoyant force exerted on an object submerged in a fluid on earth is always directed upward.

The term "buoyancy" refers to the upward push a liquid applies to an object submerged in it. An upward force is imposed on an object when you try to submerge it in water, and this force grows as the object is pushed deeper. The tendency of a fluid to exert an upward force on an item that is partially or completely submerged in that fluid is known as buoyancy or a buoyant force. Newton is the SI unit for buoyant force. An object in water experiences an upward force known as buoyancy that is equal to the weight of the water that the object has displaced.

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• The position vector at location D: 1

• The change in position (the displacement) between location D and location F: 3

• The change in velocity between location D and location F: 2

• The change in momentum between location D and location F: 4

• The average net force between location D and location F: EP (zero magnitude)

The position vector at location D is represented by arrow 1, as it indicates the location of the object at that point. The change in position, or displacement, between location D and location F is represented by arrow 3, as it shows the overall change in position of the object from one location to the other. The change in velocity between location D and location F is represented by arrow 2, as it shows the overall change in the object's velocity during that time.

The change in momentum between location D and location F is represented by arrow 4, as it shows the overall change in the object's momentum during that time. The average net force between location D and location F cannot be determined with the information given.

The complete question is given below in the image.

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The work done by gravity on the sliding crate is 176.6 J.

The work done by gravity on the sliding crate is calculated by applying the following formula.

W = Fd cosθ

W = mg x d cosθ

where;

W = ( 14 kg x 9.8 m/s² ) x ( 1.61 m ) x cos ( 36.9 )

W = 176.6 J

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The volume of the Erlenmeyer flask when filled with water is 249 cm^3.

Volume is a measure of the amount of three-dimensional space an object occupies. It is measured in cubic units, such as cubic centimeters (cm3) or cubic meters (m3). Volume is an important concept in many areas of science, including physics, chemistry and geology. It can also be used to describe the capacity of a container, such as a bottle, or the amount of liquid it can hold. Knowing the volume of a substance or object is important in many everyday situations, from measuring food portions to calculating the amount of paint needed to cover a wall.

This is calculated by subtracting the weight of the empty flask (246.3 g) from the weight of the flask filled with water (495.0 g) and then dividing by the density of water (1.00 g/cm^3).

When filled with chloroform, the flask and its contents weigh 581.1 g. To calculate this, we multiply the density of chloroform (1.48 g/cm^3) by the volume of the flask (249 cm^3), which gives us 371.52 g. We then add the weight of the flask (246.3 g) to the weight of the chloroform (371.52 g), which gives us a total of 617.82 g. The weight of the flask when filled with chloroform is 581.1 g.

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It might be limited to Region I exclusively. The electric field caused by the charge +2C is directed away from the charge, but the one caused by the charge -4C is directed towards it.

When put in an electromagnetic field, the physical feature of matter known as electric charge causes that matter to experience a force. A positive or negative electric charge can exist. Like charges repel one another, whereas unlike charges attract one another. A neutral object is one that does not have any net charge. Charge, also known as electric charge, electrical charge, or electrostatic charge, and denoted by the symbol q, is a property of matter that reflects the amount to which it contains more or less electrons than protons.

Here,

It may only be available in Region I. The electric field caused by charge +2C is directed away from the charge, but the one caused by charge -4C is directed towards it.

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A stone is dropped from rest at an initial height h above the surface of the earth. Show that the speed with which it strikes the ground is v= 2gh.

Let x(t) be the position of the stone above the ground.

The differential equation x'= - g relates the position of the stone to the acceleration due to gravity.

A differential equation is an equation which contains one or more terms and the derivatives of one variable (i.e., dependent variable) with respect to the other variable (i.e., independent variable)

dy/dx = f(x)

Here “x” is an independent variable and “y” is a dependent variable

For example, dy/dx = 5x

A differential equation contains derivatives which are either partial derivatives or ordinary derivatives. The derivative represents a rate of change, and the differential equation describes a relationship between the quantity that is continuously varying with respect to the change in another quantity. There are a lot of differential equations formulas to find the solution of the derivatives.

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The ratio of the mass of oxygen inhaled for each breath at high altitude and at sea level is 0.629.

Let the mass of oxygen inhaled at sea level, = m₀

Let the mass of oxygen inhaled at 15000 ft, = m₁₅

The volume of air inhaled is same for both case, = v

Density of the air at mean seal level, ρ₀ = 2.337 × 10⁻³ sl/m³

Density of the air at 15000 ft, ρ₁₅ = 1.469 × 10⁻³ sl/m³

m₀ = ρ₀V,     m₁₅ = ρ₁₅V

m₁₅/m₀ = ρ₁₅V/ρ₀V

m₁₅/m₀ = (1.469 × 10⁻³)/(2.337 × 10⁻³)

m₁₅/m₀ = 0.629

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"laser beam" can be handled as "light".

Speed of light in vacuum = 300,000 km/sec

Distance = (speed) x (time)

Distance light traveled = (300,000 km/sec) x (2.63 sec)

Distance the light traveled = 789,000 km

But this is DOUBLE the distance to the moon, because the laser light had to GO and COME BACK in order to be detected back on Earth.

So the distance to the moon was (1/2) of (789,000 km) = 394,500 km

The reason bulb A is brighter than bulbs B and C is because it has a higher voltage and a lower resistance than either of them.

Lower resistance is the measure of how easily an electrical current can flow through an object or circuit. It refers to how much opposition a material presents to the flow of an electric current. The lower the resistance of a material, the easier it is for an electric current to flow through it, and the higher its conductivity.

This is because the circuit containing bulb A has the least overall resistance, meaning more current is able to flow through it and it is able to operate at a higher voltage. This means that the current is able to provide more energy to the bulb, causing it to be brighter than bulbs B and C.

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The resistance between two points on the same finger is likely due to the resistance of the skin and the small amount of muscle and fat that is present in the finger.

The resistance between two points on opposite hands is likely due to the resistance of the skin and the larger amount of muscle and fat that is present in the hand. The resistance decreases when more skin is brought into contact with the probes of the ohmmeter because more skin in contact means more surface area for the current to flow through, thus reducing the resistance. The dramatic drop in resistance when the skin is wet is likely due to the fact that water is a better conductor than dry skin. This observation suggests that the resistance of the human body is largely due to the resistance of the skin, and that the internal resistance of the body (i.e., the resistance of muscles, bones, etc.) is relatively low in comparison.

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