1. An airplane flies with an airspeed (speed relative to the air) of 215
km/h. The wind is blowing at 45.0 km/h. Find the velocity of the
plane (relative to the ground) if the plane is pointed straight west and
the wind is:

A. blowing toward the
west (3 points)

B. blowing toward the east (3 points)

C. blowing toward the south (4 points)
(For part C be sure to calculate the angle as well.)

Answers

Answer 1

Answer:

Explanation:

A) 215 + 45.0 = 260 km/h West

B) 215 - 45.0 = 170 km/h West

C) √(215² + 45.0²) = 219.6588... 220 km/h

θ = arctan(45.0/215) = 11.8214... 11.8° S of W

Answer 2

The airplane's ground velocity is westward at 170 km/h regardless of wind direction. The south wind does not affect the plane's westward velocity in component C.

Vector addition will determine each scenario's plane velocity relative to the ground. We'll simplify by assuming a consistent horizontal breeze.

Let's divide the airplane's velocity and wind velocity into westward (negative) and eastward (positive) components.

Data: Plane airspeed = 215 km/h.

45 km/h wind.

A. West wind:

The airplane's westward (negative) ground velocity:

West aeroplane velocity = -215 km/h

-45 km/h west wind.

Find Vg when the wind blows west:

Vg (west) = Aeroplane velocity + Wind velocity (west)

Vg(west) = -215 km/h - (-45 km/h)

Vg (west)=-170 km/h

B. East wind: 2. Westward (negative) aeroplane velocity relative to the ground:

West aeroplane velocity = -215 km/h

Wind velocity (east) = 45 km/h (because the wind is blowing eastward)

Find Vg when the wind blows east:

Vg (west) = Aeroplane velocity (west) + Wind velocity (east).

Vg (west) = -215 + 45 km/h

Vg (west)=-170 km/h

C. Southerly wind: 3. Westward (negative) aeroplane velocity:

West aeroplane velocity = -215 km/h

Wind velocity (south) = 0 km/h (no effect since wind is not moving westward)

Find Vg when the wind blows south:

Vg (west) = Aeroplane velocity (west) + Wind velocity (south).

Vg (west) = -215 + 0 km/h.

Vg (west)=-215 km/h

All resultant velocities are westward and 170 km/h.

Part C's plane's westward velocity is unaffected by the south wind. The plane's ground velocity remains -215 km/h (westward). Since the heading is westward, no angle is needed.

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Related Questions

How/is climate change/human interaction affecting mutualism

Answers

Most mutualisms involve partnerships between ectothermic organisms. Therefore, they are particularly sensitive to changes in temperature, and most will be strongly affected by climate change. A mutualism will retain stability and function only under a particular set of environmental conditions.

A box is sitting on a board. The coefficient of static friction between the box and the board is 0.830216. The coefficient of kinetic friction between the box and the board is 0.326245. One side of the board is raised until the box starts sliding. Give a variable legend for this problem.
a) What is the angle at which the box starts sliding? The model for this problem:
θ=__________________________________ Answer________________________________

b) What is the magnitude of its acceleration after it starts sliding? The model for this problem:
a=__________________________________ Answer________________________________

Answers

Answer:

Explanation:

Coefficient of static friction μs = .830216

Coefficient of kinetic friction μk = .326245

a ) The angle at which the box starts sliding depends upon coefficient of static friction . If θ be the required angle

tanθ = μs

tanθ = .830216

θ = 39.7°

b )

When the box starts sliding , kinetic friction will be acting on it .

frictional force on the box = μk mg cos 39.7

net force on the box

= mg sin39.7 -  μk mg cos 39.7

Applying Newton's law of motion

mg sin39.7 -  μk mg cos 39.7  = m a

a = g sin39.7 -  μk g cos 39.7

= 9.8 x sin 39.7 - .326245 x 9.8 x cos 39.7

= 6.26 - 2.46

= 3.8 m /s² .

every
This equation is missing which
motion variable?
vz = v? + 2a Ax
A. Ax
B. a
ht
C. Vi​

everyThis equation is missing whichmotion variable?vz = v? + 2a AxA. AxB. ahtC. Vi

Answers

Answer:

t is missing in this equation.

Explanation:

The equation of motion is given by :

\(v_f^2=v_i^2+2a\Delta x\)

Where

\(v_f\ and\ v_i\) are final and initial velocities

a is acceleration

\(\Delta x\) is displacement

Time i.e. t is missing in the above equation. Hence, the correct option is (d) i.e. t.

HELP ME ASAPPPPPPPPPPP
A penny sinks to the bottom of a wishing well
What type of frictional force is that?

Answers

The frictional force involved when a penny sinks to the bottom of a wishing well is primarily due to viscous drag or fluid friction. As the penny moves through the water, it experiences resistance from the surrounding fluid. This resistance is caused by the frictional forces between the water molecules and the penny's surface.

Wanda is afraid of gaining weight and putting herself at high risk for disease. she works out on a regular basis and eats right most of time. recently, Wanda some testing done. her BMI with some 17.2 and her waist circumference is 30 inches. what statement best describes next move for Wanda so she will be at the least risk for disease?​

Answers

Answer:

C. Wanda's waist circumference indicates that she is not at risk, but her BMI indicates that she underweight. She should develop a plan to move her BMI into the normal range.

Explanation:

edge 2020 Brainliest would be appreciated

Answer:

Wanda's waist circumference indicates that she is not at risk, but her BMI indicates that she underweight. She should develop a plan to move her BMI into the normal range.

Explanation:

I just did the Cumulative Exam Review

which of the following describes the net force on an object?

A. The sum of all forces acting on an object
B. The Gravitational force minus any contact forces on an object.
C. The difference between the normal force and the Gravitational force acting on an object.
D. the sum of all forces acting on an object in the same direction. ​

Answers

The statement that describes the net force on an object is the sum of all forces acting on an object (option A).

What is net force?

Net force is sum of all forces acting on an object in a single plane.

When a force is applied to a body, not only is the applied force acting, there are many other forces like gravitational force, frictional force and the normal force that balances the other force.

The sum of all these forces acting on the object whether in the same or opposite direction is regarded as the net force.

Therefore, the statement that describes the net force on an object is the sum of all forces acting on an object.

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which describes a homogeneous mixture​

Answers

Answer:

A homogeneous mixture is a type of mixture in which the composition is uniform and every part of the solution has the same properties. Example, air

Explanation:

What are the types of energy?​

Answers

Answer:

Energy exists in many different forms. Examples of these are: light energy, heat energy, mechanical energy, gravitational energy, electrical energy, sound energy, chemical energy, nuclear or atomic energy and so on. Each form can be converted or changed into the other forms.

1.00 kg of ice at -24.0°C is placed
in contact with a 1.00 kg block of a
metal at 5.00°C. They come to
equilibrium at -8.88°C. What is
the specific heat of the metal?

Answers

1.00 kg of ice at -24.0°C is placed in contact with a 1.00 kg block of a metal at 5.00°C. They come to equilibrium at -8.88°C.

We can use the principle of conservation of heat to solve this problem. The heat lost by the metal must equal the heat gained by the ice.

The heat lost by the metal is given by

Q1 = m1c1ΔT1

Where m1 is the mass of the metal, c1 is its specific heat, and ΔT1 is the change in temperature.

The heat gained by the ice is given by

Q2 = m2c2ΔT2

Where m2 is the mass of the ice, c2 is its specific heat, and ΔT2 is the change in temperature.

Since the two objects come to thermal equilibrium, we can set Q1 equal to Q2

m1c1ΔT1 = m2c2ΔT2

Solving for c1, we get

c1 = m2c2ΔT2 / (m1ΔT1)

By putting these values we get

c1 = (1.00 kg)(2.06 kJ/kg·K)(-24.0°C - (-8.88°C)) / [(1.00 kg)(5.00°C - (-8.88°C))]

c1 = 0.902 kJ/kg·K

Hence, the specific heat of the metal is 0.902 kJ/kg·K.

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which of the following are ways in which energy can be transferred to or from a substance?
a.) heat and internal energy
b.) work and internal energy
c.) heat and work
d.) heat and kinetic energy ​

Answers

Answer:

a

Explanation:

the answer is a because it is feasible

A bar magnet has
a. one magnetic pole.
b. two magnetic poles.
c. three magnetic poles.
d. four magnetic poles.

Answers

Answer:

b

Explanation:

Bar magnets have two magnetic poles

The Lamborghini Huracan has an initial acceleration of 0.85g. Its mass, with a driver, is 1510 kg. If an 80 kg passenger rode along, what would the car's acceleration be?​

Answers

Answer:

7.9 \(\frac{m}{s^{2} }\)

Explanation:

Take the fact that mass is inversely proportional to accelertation:

m ∝ a

Therefore m = a, but because we are finding the change in acceleration, we would set our problem up to look more like this:

\(\frac{m_{1} }{m_{2} } = \frac{a_{2} }{a_{1} } \\\)

Using algebra, we can rearrange our equation to find the final acceleration, \(a_{2}\):

\(a_{2} = \frac{a_{1}*m_{1} }{m_{2} } \\\)

Before plugging everything in, since you are being asked to find acceleration, you will want to convert 0.85g to m/s^2. To do this, multiply by g, which is equal to 9.8 m/s^2:

0.85g * 9.8 \(\frac{m }{s^{2} }\) = 8.33 \(\frac{m }{s^{2} }\)

Plug everything in:

7.9 \(\frac{m }{s^{2} }\) = \(\frac{ 8.33\frac{m}{s^{2} }*1510kg }{1590kg}\)

(1590kg the initial weight plus the weight of the added passenger)

What is constant of a spring if there is 150 j when stretched 0.25 m?

Answers

0.45 This is the wrong answer

A spring scale hung from the ceiling stretches by 5.9 cm
when a 1.6 kg
mass is hung from it. The 1.6 kg
mass is removed and replaced with a 2.1 kg
mass.
Part A
What is the stretch of the spring?
Express your answer with the appropriate units.

Answers

The stretch of the spring is proportional to the weight of the mass hung from it. Since the spring stretches by 5.9 cm when a 1.6 kg mass is hung from it, we can use this information to find the stretch when a 2.1 kg mass is hung from it.

The stretch of the spring is given by:

stretch = (mass x gravity x length) / (spring constant)

where mass is the mass hung from the spring, gravity is the acceleration due to gravity (9.81 m/s^2), length is the stretch of the spring, and the spring constant is a measure of the stiffness of the spring (measured in N/m).

We can rearrange this equation to solve for the stretch of the spring:

stretch = (mass x gravity x length) / (spring constant)

length = (spring constant x stretch) / (mass x gravity)

Substituting the given values, we get:

length = (spring constant x 0.059 m) / (1.6 kg x 9.81 m/s^2)

Simplifying, we get:

length = 0.236 m

Therefore, the stretch of the spring when a 2.1 kg mass is hung from it is 0.236 m.

The acceleration of gravity on the
Moon is 1.62 m/s2. The mass of the
Moon is 7.35 x 10^22 kg. From this
information, what is the radius of the
Moon?

The acceleration of gravity on theMoon is 1.62 m/s2. The mass of theMoon is 7.35 x 10^22 kg. From thisinformation,

Answers

Answer:

Near the Earth's surface, the acceleration due to gravity is approximately constant. ... Its value is = 6.673 x 10-11 N·m2/kg2. ... The mass of the moon is 7.35 x 1022 kg. ... moon, the distance to the center of mass is the same as the radius: r = 1.74 x ... Handwriting · Spanish · Facts · Examples · Formulas · Difference Between ...

Explanation:

The acceleration of gravity on the Moon is 1.62 m/s2. The mass of the Moon is 7.35 x 10^22 kg. From this information, then the radius of the Moon is 3 * 10¹² m.

What is moon ?

The sole natural satellite of Earth is the Moon. With a diameter around one-quarter that of Earth (equivalent to the breadth of Australia), it is the largest and most massive compared to its home planet and the fifth largest satellite in the Solar System. The Moon is bigger than any known dwarf planets of the Solar System and is a planetary-mass object with a distinct rocky body, making it a satellite planet according to geophysical definitions of the word. There isn't much of an atmosphere, hydrosphere, or magnetic field there. With a surface gravity of 0.1654 g, it has a gravity that is around one-sixth that of Earth. Jupiter's moon Io is the only satellite in the Solar System that is known to have a greater gravity and density.

The Moon travels an average distance around Earth.

Given,

g = 1.62 m/s²

m = 7.35*10²² kg

according to formula,

g = GM/r²

1.62 = 6.67× 10⁻¹¹ m³ kg⁻¹ s⁻²*7.35*10²² kg/r²

solving this for r we get

r = 1.7 * 10⁶ m

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1) A parked car starts to move with a constant velocity of 3 m/s, after moving
3.4 seconds, how far did the car go?

Answers

Answer:

velocity (v) =distance(s) ÷ time (t)

Explanation:

v=s÷t

s=v×t

s=3×3.4

s= 10.2m

a what are the factors that causes change in the motion of jeep?​
b, How can a man change the friction speed of the jeep?

a what are the factors that causes change in the motion of jeep?b, How can a man change the friction

Answers

Changes in the terrain or road conditions, changes in the speed of the jeep, and external forces cause a change in motion of the jeep and a man changes the friction speed of the jeep by adjusting the amount of force applied to the brakes and the gas pedals and external factors.

a) There are several factors that can cause a change in the motion of a jeep. Firstly, changes in the terrain or road conditions such as an incline, rough surface, or gravel can affect the motion of the jeep. Secondly, changes in the speed of the jeep can also cause a change in motion, such as acceleration or deceleration. Additionally, external forces such as wind or other vehicles on the road can also impact the motion of the jeep.

b) The friction speed of a jeep can be changed by adjusting the amount of force applied to the brakes and the gas pedals. The brakes slow down the jeep by creating friction between the brake pads and the wheels, while the gas pedal increases speed by providing more power to the engine.

A driver can also change the friction speed by shifting gears or adjusting the clutch. Additionally, external factors such as the weight of the load in the jeep or the type of tires used can also affect the friction speed. It is important to note that changes in friction speed should be done safely and within the legal speed limits on the road.

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Which explanation is based on empirical evidence? Ancient text reveals that the universe is about 6000 years old

Answers

Answer:

Empirical evidence is evidence that is verified by observation or experience, rather than logic or theory.

Then an explanation is based in on empirical evidence is an explanation that uses a fact that was seen or experienced.

The case here:

"Ancient text reveals that the universe is about 6000 years old"

Is not empirical, because there is no observation or experience here, this is only a book that says the opinion of who wrote it.

An example of an empirical explanation would be:

"The universe is at least X years old because we can see remanents that are X years old"

What are some ways to change the resistance in a circuit?
Suppose you have an electrical device that needs a steady current of
10 milliamperes. You need to greatly increase the length of the wire
between the battery pack and the appliance. What changes will you
need to make in your circuit to keep a steady current?
Suppose you are designing a toaster, a device that requires several hot,
glowing wires to do its job. You want to use as little voltage as possible.
Describe the characteristics of the "toasting" wires.
Attachments

Answers

Some ways to change the resistance in a circuit.resistance can be changed in the circuit by changing the length of the wire, area of the wire, resistivity of the wire.

WHAT IS STEADY CURRENT?

steady current  means a continuous flow that has been going on forever, without change and without charge piling up anywhere.

A system (e.g. circuit) is in the steady state when the current at each point in the circuit is constant (does not change with time). –In many practical circuits, the steady state is achieved in a short time.

steady current can be produced in the circuit in which resistance is changing by varying the voltage. by increasing or decreasing the voltage  we can maintain a constant or steady current in a circuit which has varying resistance.

                        charecteristics of toasting wires:

it is made up of nichrome wiresnichrome is an alloy made up of nickel and chromiumit is resistant to oxidationit is resistant to alkali and chemicals it is resistant to heatThe most common way for a toaster to create the infrared radiation is to use nichrome wire wrapped back and forth across a mica sheet, Nichrome wire is an alloy of nickel and chromium. It has two features that make it a good producer of heatNichrome wire has a fairly high electrical resistance compared to something like copper wire, so even a short length of it has enough resistance to get quite hot.

The nichrome alloy does not oxidize when heated. Iron wire would rust very quickly at the temperatures seen in a toaster.

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Which law of motion accounts for the following statement? An apple accelerates as it falls from a tree

Answers

The law of motion that accounts for an apple accelerating as it falls from a tree is the law of gravity, specifically Newton's Second Law of Motion.

Newton's Second Law of Motion states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. In the case of an apple falling from a tree, the net force acting on it is the gravitational force pulling it toward the Earth. The acceleration of the apple is therefore determined by the strength of this gravitational force and the mass of the apple.

As the apple falls from the tree, it accelerates toward the ground due to the gravitational force acting on it. The faster the apple falls, the greater its acceleration. This acceleration is commonly referred to as acceleration due to gravity, which is a constant value of 9.81 m/s^2 near the surface of the Earth.

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Solve for x
–30 = 5(x + 1)

Answers

Answer:

-30=5(x+1) is -7

Explanation:

distribute flip subtract 5 from both sides divide both sides by 5

-30=(5)(x)+(5)(1) (Distribute)
-30=5x+5
Flip equation
5x+5=-30
Subtract 5 from both sides
5x+5-5=-30-5
5x=-35
Divide both sides by 5
X=-7

What happens to your kinectic energy when your gravitational potential energy decreases?

Answers

Answer:

As r decreases, we lose gravitational potential energy - in other words, U G U_G UG​U, start subscript, G, end subscript becomes more negative. Because energy is conserved, the velocity must increase, resulting in an increase in kinetic energy.

Explanation:

Calculate the ratio of H+ ions to OH– ions at a pH = 8. Find the concentration of H+ ions to OH– ions listed in Table B of your Student Guide. Then divide the H+ concentration by the OH– concentration. Record this calculated ratio in Table A of your Student Guide. Compare your approximated and calculated ratios of H+ ions to OH– ions at a pH = 8. Are they the same? Why or why not? Record your explanation in Table A. What is the concentration of H+ ions at a pH = 8? mol/L What is the concentration of OH– ions at a pH = 8? mol/L What is the ratio of H+ ions to OH– ions at a pH = 8? :1 OR 1:

Answers

At pH = 8, the ratio of H+ ions to OH- ions is 1:1, indicating a neutral solution. The concentration of H+ ions and OH- ions is approximately 1 x 10^(-8) mol/L. The calculated and approximated ratios should match.

To calculate the ratio of H+ ions to OH- ions at pH = 8, we need to use the relationship between pH and the concentration of H+ ions. The pH scale is a logarithmic scale that measures the acidity or alkalinity of a solution based on the concentration of H+ ions.

The formula to calculate the concentration of H+ ions (\(C_H\)+) from pH is:

\(C_H\)+ = \(10^(^-^p^H^)\)

Substituting pH = 8 into the formula:

\(C_H\)+ = \(10^(^-^8^))\)

Using the properties of logarithms, we can calculate the concentration of H+ ions:

\(C_H\)+ ≈ 1 x \(10^(^-^8^))\) mol/L

According to the concept of neutrality in water, the concentration of H+ ions is equal to the concentration of OH- ions. Therefore, the concentration of OH- ions (\(C_O_H\)-) is also approximately 1 x \(10^(^-^8^))\)mol/L.

To calculate the ratio of H+ ions to OH- ions, we divide the concentration of H+ ions by the concentration of OH- ions:

Ratio = \(C_H\)+ / \(C_O_H\)-

Ratio = (1 x \(10^(^-^8^))\) / (1 x \(10^(^-^8^))\))

Ratio = 1:1

The ratio of H+ ions to OH- ions at pH = 8 is 1:1, indicating a neutral solution. This means that the concentration of H+ ions is equal to the concentration of OH- ions, resulting in a balanced ratio.

When comparing the calculated ratio of 1:1 to the approximated ratio at pH = 8, they should be the same because the ratio of H+ ions to OH- ions is determined solely by the pH value, which is consistent and mathematically derived. Therefore, the approximated and calculated ratios should match.

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Identify the part of the water cycle when ocean water may end up in the river.
Condensation.
Precipitation.
Collection.
Evaporation.

Answers

Answer:

Collection. or Precipitation.

Explanation:

b or d

The part of the water cycle when ocean water may end up in the river is to be considered as the condensation.

What is condensation?

It is the change with regard to the state of matter from the gas phase into the liquid phase. Also, it should be considered as the reverse of vaporization.

So based on this, we can say that The part of the water cycle when ocean water may end up in the river is to be considered as the condensation.

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a ball hits the wall and reverses courses. According to newtons 3rd law which of these must be true

Answers

The ball exerts a force on the wall, and the wall exerts an equal and opposite force on the ball. So, the correct answer is A.

Newton's 3rd law of motion states that for every action, there is an equal and opposite reaction. The action is the force that the ball exerts on the wall, and the reaction is the force that the wall exerts back on the ball. When the ball hits the wall, it exerts a force on the wall. This force is equal in magnitude but opposite in direction to the force that the wall exerts back on the ball. This is why the ball reverses course. Therefore, option A is correct.

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--The complete Question is, Which of the following statements is true according to Newton's 3rd law when a ball hits a wall and reverses course?

A) The ball exerts a force on the wall, and the wall exerts an equal and opposite force on the ball.

B) The ball exerts a force on the wall, but the wall does not exert a force on the ball.

C) The wall exerts a force on the ball, but the ball does not exert a force on the wall.

D) The ball and the wall do not exert any forces on each other. --

80g of kerosene was burned to raise the temperature of 3 l of water to 90c ⁰C. What is the efficiency of the burner?​

Answers

Answer:

363

Explanation:

80g of kerosene was burned to raise the temperature

k = 90+273

= 363

i need help we are talking how soap effects water tension Experimental Methods!!!!!

[This section should be written in paragraph form and describe how the experiment was conducted, including a description of controls and how the measurements were taken.

Example: The surface tension of water was tested by counting the number of drops that could fit on the head of a penny before it spilled over. Both samples of water were left at room temperature for several hours before use. Approximately 1 mL of soap was added to one sample of water. The same penny was used for both tests, and it was rinsed and dried thoroughly between tests. Three trials were conducted for each test.]

Answers

Answer:

Key concepts. Chemistry Molecules Surface tension. Introduction Have you ever noticed on a rainy day how water forms droplets on a window?

Explanation:

Answer:

The surface tension of the water was tested by how many drops could fit on the head of a penny before it spilled over. I put the samples on my table. And I had left the sample of water in the kitchen that was room temperature. I left both pennies out for several hours. I even used soap to test the pennies as well

Explanation:

because i got the test right

If a scientist was investigating the affect of pH on plant growth, what are things that should be held constant? Check all that apply.

Question 3 options:

The amount of water given to the plants each day.


The length of time each plant is exposed to light.


The temperature where the plants are stored.


The type of plant that is tested.

Answers

The things that should be held constant are the amount of water given to the plant each day, the length of time each plant is exposed to light and the temperature where the plants are stored.

What is a pH scale?

Using a pH scale, acids and bases can be determined. The scale has a 0 to 14 range. In order to detect whether a chemical is an acid or a basic, Litmus paper is employed as an indication. The color of the paper, which corresponds to the numbers on the pH scale, indicates the type of chemical being tested. For instance, vinegar, which has a pH of 2.4, is an acid.

Now, according to the question,

The concentration of carbon dioxide in water affect the pH of the plant, so it depends on that how much water is given to the plant. The temperature also affect the pH of the plant  so, the length of time each plant is exposed to light and the temperature where the plants are stored will also affect the pH on plant growth that's why these things should be held constant.

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BEST ANSWER = BRAINLIEST
An object with a charge of +1 C is 10 mm from an object with a charge of +1 C. Based on the data in the table, which type and amount of electrical force will there most likely be between the two objects? Explain your answer

BEST ANSWER = BRAINLIESTAn object with a charge of +1 C is 10 mm from an object with a charge of +1 C.

Answers

Answer: Weak or repulsive

Explanation: The amount of electrical force would be weak based on the distance between the two objects.

Based on the data in the table, the two objects will have a repulsive force of medium strength.

How to find type and amount?

This is because the two objects have the same charge, and like charges repel each other. The force is calculated using the following formula:

F = k × (Q₁ × Q₂) / r²

where:

F = force in newtons

k = Coulomb's constant (8.988 x 10⁹ N m²/C²)

Q₁ and Q₂ = charges in coulombs

r = distance between the charges in meters

In this case:

F = medium

k = 8.988 x 10⁹ N m²/C²

Q1 = Q2 = +1 C

r = 10 mm = 0.01 m

Substituting these values into the formula gives:

F = (8.988 x 10⁹ N m²/C²) × (+1 C × +1 C) / (0.01 m)²

= 8.988 x 10⁶ N

Therefore, the two objects will have a repulsive force of medium strength.

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1. How much heat input is needed to
raise the temperature of a 20kg
vat made of iron and filled with a 3kg of water from 10°C to 90°C? Take the
Cp of iron and water to be 450J/kg:
land 4186.J/k9°C respectively

Answers

By using Specific heat capacity, 741.76 x \(10^4\)heat energy is needed to raise the temperature.

The amount of heat required to increase the temperature of 1 gram of a substance by 1 degree Celsius (°C) is known as the specific heat capacity.

The importance of specific heat capacity may be summed up as the quantity of energy needed to heat or cool an item of a given mass by a certain amount.

Given:

Mass of vat, mvat = 20kg

Mass of water, mwater = 3kg

ΔT = 90 – 10 = 80℃

Specific heat capacity of iron, Ciron = 450J/kg

Specific heat capacity of water, Cwater = 4186J/kg

To find:

Heat energy required, Q = ?

Formula:

C = Q / (m ΔT)

Calculations:

Q = mCΔT

Q = Qempty + Qwater

Q = (20 x 450 x 80) + (3 x 4186 x 80)

Q = 172.464 x \(10^4\)J

Result:

Heat energy required is 172.464 x \(10^4\)J

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