1. A plane is flying from Indianapolis to Los Angeles with an air speed of 211 km/hr towards the west. The air current that day is blowing at 12 km/h towards the east. Find the speed of the plane relative to the ground.

2. A tug boat called SS Walnut is traveling upstream with a still water speed of 22 km/h in a river with a current of 5.0 km/h. What is the velocity of the boat relative to an object on the shore?

3. Dante flies his jet plane from Spokane, WA to Cincinnati OH. The plane flies towards the east with a ground speed of 740 km/h. The wind that day is blowing from the west with a speed of 38 km/h. What is the jet's air speed?

4. A kayaker traveling downstream is pulled out of his kayak in a river with a current of 31 km/h. The Kayaker continues downstream. A hiker on the shore observes the kayaker to be swimming at 33 km/h. What is the kayaker's still water velocity?

5. A prop engine plane takes off from the ground and reaches its cruising altitude and air speed of 216 km/h towards the east. At this altitude the easterly wind speed is measured at 67 m/s.

a. What is the plane's ground speed while flying at this altitude?

b. What is the distance this plane has flown after 7.0 hours at its cruising altitude?

The displacement of the iguana between 3 s and 6 s  is 6.71 meters.

The distance traveled by the iguana between 3 s and 6 s is  8.08 meters.

Distance is the sum of an object's movements, regardless of direction.

The term "displacement" refers to a shift in an object's position.

According to the graph:

The displacement of the iguana between 3 s and 6 s

= √{ (3-6)²+(6-0)²} meters

= 6.71 meters.

The distance traveled by the iguana between 3 s and 6 s

= [ √{ (3-5)²+(6-6)²} +√{ (5-6)²+(6-0)²}] meters

= [2+ 6.08] meters

= 8.08 meters.

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The amount of work done by the hairdryer is equal to 450 Kilojoules.

Given the following data:

To determine the amount of work done by the hairdryer:

Mathematically, the work done by an object with respect to power and time is given by the formula:

\(Work\;done = power \times time\)

Substituting the given parameters into the formula, we have;

\(Work\;done = 750 \times 600\)

Work done = 450,000 Joules

Note: 1000 Joules = 1 Kilojoules.

Work done = 450 Kilojoules.

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Answer:

Choice A. gamma rays

Explanation:

I believe that Gigafood is the future of food. It is a healthy, convenient, and sustainable way to get all the nutrients our bodies need. I am excited to see how Gigafood can change the way people eat.

Name: Gigafood

Company: Gigafood, Inc.

Components:

Gigafood is a complete and balanced meal that provides all the essential nutrients the body needs.

Macronutrients: Carbohydrates are the body's main source of energy. Fats provide essential fatty acids and help the body absorb vitamins. Protein is necessary for building and repairing tissues.

Micronutrients: Vitamins and minerals are essential for many bodily functions, including growth, development, and immunity.

Antioxidants: Berries and nuts are rich in antioxidants, which help protect the body against damage from free radicals.

Slogan: Gigafood: The only food you'll ever need.

Disclaimer: Gigafood is a healthy and nutritious food, but it is not a cure for any disease. It is important to eat a balanced diet and get regular exercise.

Health benefits:

Diseases or conditions that Gigafood can help with:

Gigafood is a convenient and delicious way to get all the nutrients your body needs.

Gigafood is a healthy and sustainable choice for the environment.

Gigafood is a great way to save time and money on food.

The advertisement should be visually appealing and easily noticeable. It should use bright colors and simple graphics to capture attention. The advertisement should also include the Gigafood logo and slogan.

I believe that Gigafood is the future of food. It is a healthy, convenient, and sustainable way to get all the nutrients our bodies need. I am excited to see how Gigafood can change the way people eat.

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The statement "Something established by authority as a rule for measurement is called a standard unit" is True.

Something established by authority as a rule for measurement is called a standard unit. Standard units provide a consistent and universally accepted basis for measuring quantities in various fields such as science, engineering, and commerce.

Standard units are essential because they ensure consistency and accuracy in measurements across different contexts and locations. They serve as a reference point for comparing and quantifying physical quantities. By establishing standardized units, authorities promote uniformity and facilitate effective communication and collaboration in scientific research, technological advancements, and global trade.

In the International System of Units (SI), which is the most widely used system of measurement, there are seven base units: meter (length), kilogram (mass), second (time), ampere (electric current), kelvin (temperature), mole (amount of substance), and candela (luminous intensity). These base units are defined based on fundamental physical constants or natural phenomena, providing a reliable and reproducible foundation for measurement.

Standard units are typically defined and maintained by internationally recognized organizations like the International Bureau of Weights and Measures (BIPM) to ensure global consistency. These organizations establish precise definitions, measurement protocols, and calibration procedures for standard units, often using advanced scientific techniques and technologies.

The use of standard units simplifies scientific research, enables accurate engineering designs, ensures fair trade practices, and facilitates international cooperation. It allows for the seamless exchange of information and data, promotes quality assurance, and supports the development of common standards and regulations in various industries.

In summary, a standard unit is a measurement rule established by authority to provide a consistent and universally accepted reference for quantifying physical quantities. It is a fundamental aspect of scientific progress, technological advancements, and global collaboration.

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The required distance to come to a stop now is 30 meters.

To solve this problem, we can use the equation:

v^2 = u^2 + 2as

where:

v is the final velocity (zero in this case)

u is the initial velocity (10 m/s in the first instance and 20 m/s in the second instance)

a is the acceleration (which is constant in this case)

s is the distance traveled (6 m in the first instance and we need to find it for the second instance)

Solving for s, we get:

s = (v^2 - u^2) / (2a)

For the first instance:

u = 10 m/s

v = 0 m/s

s = 6 m

a = (v^2 - u^2) / (2s) = (0 - 10^2) / (2 x 6) = -16.67 m/s^2 (negative sign indicates deceleration)

Now, using the same constant force, we can find the required distance s for the second instance:

u = 20 m/s

a = -16.67 m/s^2

v = 0 m/s (since the car stops)

s = (v^2 - u^2) / (2a) = (0 - 20^2) / (2 x -16.67) = 30 m

Therefore, the required distance to come to a stop now is 30 meters.

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Answer:

A producer needs the sun to make its own food, because producers use photosynthesis. In photosynthesis you use the sun to turn the air people breathe out and water into glucose and oxygen.

Explanation:

Hope this helps ^-^

The correct answer is B. Observations had led to the belief that the Sun, Moon, and stars revolved around Earth.

The geocentric model, which placed Earth at the center of the universe with the Sun, Moon, and stars revolving around it, was widely accepted until the 16th century for several reasons. One of the primary reasons was that observations seemed to support this view. For example, it was observed that the stars appeared to move across the sky in a circular path, and it was assumed that this was due to their motion around Earth. Similarly, the Sun and Moon appeared to rise and set each day, which was consistent with their motion around Earth.

The geocentric model was consistent with the prevailing philosophical and religious beliefs of the time, which held that Earth was a special and unique place at the center of the universe. It was not until the development of the heliocentric model, which placed the Sun at the center of the solar system, and the refinement of astronomical observations, that the geocentric model was gradually abandoned.
The correct option is B. Observations had led to the belief that the Sun, Moon, and stars revolved around Earth.

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Given that the mass of the runner, m = 60 kg

The kinetic energy of the runner, K.E. = 480 J

To find the speed of the runner, v

Kinetic energy is given by the formula

Substituting the known values, speed will be

Thus the speed of the runner is 4 m/s.

Answer:

(i)9 cm

(ii)20 cm

(iii)3 mm

Answer:

true

Explanation:

momentum = kg (m/s)

momentum = mass × velocity

Answer:

Part A. The type of wave indicated in the image is transverse.

Part B. The areas indicated by "R" in the image are called rarefactions.

Explanation:

Heat is a form of energy that can transfer from hot body to cold body.Temperature is the degree of hotness and coldness of a body.

Heat is measured in joules, but temp. is measured in Kelvin

Answer:

temperature is the degree of hotness and coldness of the body or an object while heat is the energy transferred from hot to a cooler object as a result if differencein temperature ☺

The most common way to measure surface energy is through contact angle experiments. In this method, the contact angle of the surface is measured with several liquids, usually water and diiodomethane. Based on the contact angle results and knowing the surface tension of the liquids, the surface energy can be calculated.

The mistakes in the results include options (v) and (vii) which do not follow the five golden rules for reporting results.

The five golden rules for reporting results are:

Using these rules, identify the mistakes in the given results as:

(v) 97.1 × 10³ ± 276Ω - The uncertainty is reported to an inappropriate number of significant figures and the units are not consistent.

(vii) 98.6 × 10³ ± 3 × 10^(-Q) - The uncertainty is not reported to the same number of decimal places as the measured value, and the units are not consistent.

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Answer:

40000÷40=1000 joules is required to work in 40 seconds

The energy required to raise the temperature of the air in a room by 5.0°C is 428.4 kJ

U = \(c_{p}\) m ΔT

U = Energy

\(c_{p}\) = Specific heat

m = Mass

ΔT = Change in temperature

ρ = Density

V = Volume

ρ\(_{air}\) = 1275 g / m³ (Dry air )

\(c_{p}\) = 1 J / g K

ΔT = 5 °C

V = 4 * 4 * 3

V = 48 m³

m = ρ V

m = 1275 * 48

m = 61200 g

U = 1 * 61200 * 7

U = 428400 J

U = 428.4 kJ

Therefore, the energy required to raise the temperature of the air in a room by 5.0°C is 428.4 kJ

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a) The final pressure and temperature for the isothermal compression are \(4.5*10^5 Pa\) and 293 K, respectively, while  b) the final pressure and temperature for the adiabatic compression are\(5.58*10^5 Pa\) and 515 K, respectively.

a. Isothermal compression:

For an isothermal process, the temperature remains constant. Therefore, we can use the ideal gas law:

PV = nRT

where P is the pressure, V is the volume, n is the number of moles of gas, R is the gas constant, and T is the temperature.

Since the process is isothermal, we can write:

\(P_1V_1 = P_2V_2\)

where P1 and V1 are the initial pressure and volume, and\(P_2\)and\(V_2\)are the final pressure and volume.

We are given that the volume is compressed to 1/3 of its original volume, so\(V_2 = (1/3)V_1\). Substituting this into the equation above gives:

\(P_2 = (V_1/V_2)P_1 = 3P_1\) = \(4.5*10^5 Pa\)

To find the final temperature, we can use the ideal gas law again:

PV = nRT

Rearranging, we get:

T = PV/(nR)

Substituting the values we know, we get:

T = (\(1.5*10^5\)Pa)(V1)/(nR)

Since the process is isothermal, the temperature remains constant, so the final temperature is the same as the initial temperature:

T2 = T1 = 293 K

b. Adiabatic compression:

For an adiabatic process, there is no heat transfer between the gas and its surroundings. Therefore, we can use the adiabatic equation:

PV^γ = constant

where γ = Cp/Cv is the ratio of specific heats.

Since the process is adiabatic and reversible, we can write:

\(P_1V_1\)^γ = \(P_2V_2\)^γ

We are given that the volume is compressed to 1/3 of its original volume, so V2 = (1/3)V1. Substituting this into the equation above gives:

\(P_2 = P_1(V_1/V_2)\)^γ = \(P_1\)\((3)^{(1.4)\) = \(5.58*10^5 Pa\)

To find the final temperature, we can use the adiabatic equation again:

\(T_2 = T_1(P_2/P_1)\)^((γ-1)/γ) = T1(5.58/1.5)^(0.4) = 515 K

Therefore, the final pressure and temperature for the isothermal compression are \(4.5*10^5 Pa\)and 293 K, respectively, while the final pressure and temperature for the adiabatic compression are \(5.58*10^5\) Pa and 515 K, respectively.

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(a)

In order to find the series total resistance, we need to add all resistances:

If three resistances are 40 ohms and three are 80 ohms, we have:

(b)

Now, since the resistances are in parallel, we need to use the expression below:

So we have:

The kinetic energy of the cat is 2 joules (J).

The kinetic energy of an object can be calculated using the formula KE = 1/2 * mass * velocity^2.

The kinetic energy of an object can be calculated using the formula:

Kinetic Energy (KE) = 0.5 * mass * velocity^2

In this case, the mass of the cat is 4 kilograms, and its velocity is 1 m/s. Plugging these values into the formula:

KE = 0.5 * 4 kg * (1 m/s)^2

Simplifying the equation:

KE = 0.5 * 4 kg * 1 m^2/s^2

KE = 0.5 * 4 kg * 1

KE = 2 kg

Therefore, the kinetic energy of the cat is 2 joules (J).

Kinetic energy is the energy possessed by an object due to its motion. In this case, the cat's kinetic energy is determined by its mass and velocity. The formula for kinetic energy demonstrates that it is directly proportional to the mass and square of the velocity. As the mass increases, the kinetic energy also increases. Similarly, as the velocity increases, the kinetic energy increases exponentially.

In this example, the cat's kinetic energy is relatively low due to its mass and velocity values. If the cat were moving at a higher velocity or had a greater mass, the kinetic energy would be significantly higher. Kinetic energy is an important concept in understanding the energy associated with moving objects and is utilized in various fields such as physics, engineering, and sports science.

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The acceleration of the mass in terms of {m} is -

a = 2F/m.

The force acting on a body is given by -

Force {F} = mass {m} x acceleration {a}

Given is that a net force of {F} is applied to half the mass {m/2}.

We know that -

Force {F} = mass {m} x acceleration {a}

F = {m/2} x a

a = 2F/m

Therefore, the acceleration of the mass in terms of {m} is -

a = 2F/m.

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Answer:

b. the electromagnetic spectrum

Explanation:

the electromagnetic spectrum contains all the forms of light, including gamma rays, x-rays, ultraviolet radiation, visible light, infrared, radio waves, microwaves, etc

Answer:9.6m

Explanation:

Answer:

From Newton's second..

The Net force acting on an object is equal to its acceleration Multiplied by its Mass

F=Ma

Given

F=15,000

a=5ms^-2

15,000=m x 5

m=15,000/5

m=3000kg.

Explanation:

\(\huge\colorbox{red}T\colorbox{orange}h\colorbox{yellow}a\colorbox{green}n\colorbox{blue}k\colorbox{purple}s\)

Answer:

It transforms the electrical energy of the electrons into other forms of energy.

Explanation:

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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.

The electric potential at a point on the axis at a distance x from the centre of the ring = k (q/r). And

The electric field at a circular ring of radius r, uniformly charged with linear charge density λ = (1/ 2€⁰) (rλ /r² + x² ) ⅔

Resolution of the electric field into its vertical and horizontal components. Vertical components cancel out while horizontal components add because the ring is symmetric.

From the figure, we can determine the circumference of the ring:

L = 2πr

Hence, electric field at P:

(1/ 2€⁰) (rλ /r² + x² ) ⅔

Where,

k = 9 x 10⁹

r = radius of the ring

λ = charge density

x = distance of the point

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Answer:

Take shorter showers.

Throw newspapers in the trash can.