Under what conditions will a moving 0.030 kg marble and a moving 2.43 kg rock have the same kinetic energy

Answers

Answer 1

Answer:

To have the same kinetic energy the speed of the marble must be 9 times the speed of rock.

Explanation:

The general formula of kinetic energy is given as follows:

\(K.E = \frac{1}{2}mv^{2}\)

where,

K.E = Kinetic Energy

m = mass of the object

v = speed of the object

So, for the marble and rock to have same kinetic energy, we can write:

\(K.E_{marble} = K.E_{rock}\\\\\frac{1}{2}m_{marble}v_{marble}^{2} = \frac{1}{2}m_{rock}v_{rock}^{2}\\\\(0.03\ kg)v_{marble}^{2} = (2.43\ kg)v_{rock}^{2}\\\\taking\ square\ root\ on\ both\ sides:\\v_{marble} = \sqrt{\frac{2.43\ kg}{0.03\ kg}}v_{rock}\\\\v_{marble} = 9\ v_{rock}\)

Hence, to have the same kinetic energy the speed of the marble must be 9 times the speed of rock.


Related Questions

what do you understand by the term lost voltage?​

Answers

Answer:

When a load resistance is connected, current flows through the cell and a voltage develops across the internal resistance. This voltage is not available to the circuit so it is called the lost volts, .

Explanation:

A rectangular loop with an area of 2 m2 is placed perpendicular to a uniform magnetic field of 1 Tesla. The field’s magnitude is increased to 6 Tesla in 4 seconds. The magnitude of the induced emf is equal to:

Answers

Answer:

Induced emf = 0

Explanation:

An emf can be induced due to the change in magnetic field. It can be given by :

\(\epsilon=\dfrac{d\phi}{dt}\\\\\because \phi=BA\cos\theta\\\\\epsilon=\dfrac{d(BA\cos\theta)}{dt}\\\\\epsilon=A\cos\theta\dfrac{dB}{dt}\)

As the loop is placed perpendicular to a uniform magnetic field of 1 Tesla. It means that \(\theta=90^{\circ}\) and cos(90) = 0. Hence, the induced emf is equal to 0.

Louis Armstrong ride his bike 55km east time trial in 51 minutes what was his average velocity in KM/min?

Answers

Louis Armstrong's average velocity in the time trial was approximately 1.078 km/min.

How to determine average velocity?

To calculate the average velocity, divide the total displacement by the total time taken. In this case, Louis Armstrong rode his bike 55 km to the east in a time trial lasting 51 minutes.

Average Velocity = Displacement / Time

Displacement = 55 km (since he rode 55 km to the east)

Time = 51 minutes

Average Velocity = 55 km / 51 min

To express the average velocity in km/min, convert the time from minutes to minutes.

1 hour = 60 minutes

Average Velocity = 55 km / 51 min × (1 hour / 60 min)

Average Velocity = 55 km / 51 min × (1/60) hour

Simplifying the expression:

Average Velocity = 1.078 km/min

Therefore, Louis Armstrong's average velocity in the time trial was approximately 1.078 km/min.

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a train accelerates at a -1.5 m/s2 for 10 seconds. if the train had an initial speed of 32 m/s, what is its new speed?

Answers

Answer:17m/s

Explanation:

In this question we use first law of motion which is

vf=vi+at

By putting values

vf=32+10×-1.5

vf=17m/s

Answer:

yeah its 17m/s

Explanation:

Question 1 (1 point)
[02.01]
What are the characteristics of low energy waves? (1 point)
a
Long wavelengths and low frequencies
ООО
Short wavelengths and high frequencies
с
High frequencies and long wavelengths
Od
Low frequencies and short wavelengths

Answers

Answer:

a . Long wavelengths and low frequencies

Explanation:

Low energy waves usually show long wavelengths and a low frequency.

Energy of a wave is dependent on the wavelength and frequency of such a wave.  

   The wavelength of a wave is the distance between successive crests and troughs of a wave. The frequency of a wave is the number of waves that passes through a particular point per unit of time.

  Mathematically, wave energy;

               Energy  = h x f

 where h is the planck's constant

             f is the frequency

 Also,

              Energy  = \(\frac{h x speed of light}{wavelength}\)

 A high energy wave will have a high frequency and a long wavelength.

 A low energy wave have a low frequency and a long wavelength

Name and describe at least SIX engineering challenges that the Mars copter, Ingenuity, had to overcome in order to be built/to travel to Mars/to function on Mars. BE SPECIFIC with your answers!!

Answers

Answer:

Name and describe at least SIX engineering challenges that the Mars copter, Ingenuity, had to overcome in order to be built/to travel to Mars/to function on Mars. BE SPECIFIC with your answers!!

A roller coaster is at a peak of 20m and has a mass of 900kg. What is the potential energy of the roller coaster?
O 100000 J
10000 J
O 9.8 J
O 176400 J

Answers

The potential energy of the roller coaster is 176,400 J (joules).

The potential energy of an object is given by the formula PE = mgh, where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height or vertical position of the object.

In this case, the roller coaster is at a peak of 20m and has a mass of 900kg. The acceleration due to gravity, g, is approximately 9.8 \(m/s^2\).

Using the formula, we can calculate the potential energy:

PE = mgh

= (900 kg)(9.8 \(m/s^2\))(20 m)

= 176,400 J

Therefore, the potential energy of the roller coaster is 176,400 J (joules).

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Judge the following sentence according to the criteria given below: The worldwide
retreat in mountain glaciers is significant BECAUSE these glaciers' reaction times are
much slower than the ice sheets of Antarctica and Greenland.
O The assertion is correct, but the reason is incorrect.
O The assertion is incorrect, but the reason is correct.
O The assertion and the reason are both correct, and the reason is valid.
Both the assertion and the reason are incorrect.
The assertion and the reason are both correct, but the reason is invalid.

Answers

The criteria for evaluating the following sentence are as follows: Although the claim is true, the explanation is false.

What is an instance of an assertion?

Using straightforward, honest, acceptable, and highly respectful language to communicate your opinions, feelings, and preferences is known as assertion. "I can't hear the movie while you speak. kindly lower your voice." "When you wear that clothing, I really like it. You look wonderful!"

Why do claims matter?

To guarantee that fiscal records & disclosures are accurate and suitable, assertions are qualities that need to be evaluated. Financial statements are correctly reported when all assertions for pertinent transactions or balances are met.

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Adding a solute to a solvent ________ the boiling point of the solvent.

lowers

does not change

raises

doubles

Answers

Answer:

lowers :)

Explanation:

I You are driving down the road at 15.6 m/s (35 mph) when an ambu-
lance passes you with its siren blaring. The ambulance siren produces
a frequency of 700 Hz. As the ambulance approaches you from be-
hind, you hear a frequency of 740 Hz. (a) What is the speed of the am-
bulance? (b) What frequency do you hear after the ambulance passes?

Answers

The speed of the ambulance is 33.35 m/s and the frequency heard after the ambulance passes is 667.07 Hz.

Calculation:-

V = f(344 - 15.6/344 - vs)

740 = 700(344 - 15.6/344 - vs)

344 - V s = 70/74 (344 - 15.6)

344 - V s = 310.64

  V s = 33.35 m/s

After pass

F = 700 ( 344 + 15.6/344 + 33.35)

   = 700 × 359.6/377.35

 F = 667.07 Hz

Frequency is the wide variety of occurrences of a repeating event in line with a unit of time. The time period frequency refers to the variety of waves that pass a set factor in unit time. It additionally describes the number of cycles or vibrations undergone for the duration of one unit of time with the aid of a body in periodic motion.

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the weight of an object is measured in air to be 7N the object is then immersed in water and its apparent weight is measured to be 4N determined the buoyant force and state whether or not the object float

Answers

The buoyant force can be determined by subtracting the apparent weight of the object in water from its weight in air. In this case, the buoyant force would be 7N - 4N = 3N.

Based on the information provided, since the buoyant force (3N) is less than the weight of the object (7N), the object will not float.

Floating occurs when the buoyant force is greater than or equal to the weight of the object.

In this scenario, the object will experience a net downward force, indicating that it will sink rather than float in water.

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A pair of fuzzy dice is hanging by a string from your rearview mirror. While you are accelerating from a stop-light to 28 m/s in 6.0 s, what angle theta does the string make with the vertical?

Will give brainliest!A pair of fuzzy dice is hanging by a string from your rearview mirror. While you

Answers

For the pair of fuzzy dice hanging by a string from the rearview mirror, while accelerating from a stop-light to 28 m/s in 6.0 s, the string makes an angle of 25.5 degrees with the vertical.

What is an angle?

An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

Parameters given include:

velocity: 28,/s time= 6.0 seconds

a = v/t = 28m/s / 6.0s = 4.667 m/s²

Taking into account the forces acting on the dice...there is a force of gravity acting straight down with a magnitude of mg.

so we have that

Angle = tan-1(a/g)

Angle = tan-1(4.667 / 9.8) =  25.5 degrees.

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2 A rectangular storage tank 4 m long by 3 m wide is filled with paraffin to a depth
of 2 m. Calculate:
a the volume of paraffin
c the weight of paraffin
b the mass of paraffin
d the pressure at the bottom of the tank due
to the paraffin
1m

Answers

For a rectangular storage tank filled with paraffin to a depth of 2 m, the volume, weight, mass of paraffin, and pressure at the bottom of the tank are:

a. The volume is 24 m³.

b. weight is 240,000 N,

c. mass is 24,490 kg, and

d. pressure is 23,530 Pa.

a) The volume of paraffin in the rectangular storage tank can be calculated using the formula:

Volume = Length x Width x Depth

Given:

Length = 4 m

Width = 3 m

Depth = 2 m

Substituting the values into the formula, we have:

Volume = 4 m x 3 m x 2 m

Volume = 24 m³

Therefore, the volume of paraffin in the tank is 24 cubic meters.

b) The weight of the paraffin can be calculated using the formula:

Weight = Volume x Density x Acceleration due to gravity

The density of paraffin varies, but we can assume a typical value of 10,000 kg/m³. The acceleration due to gravity is approximately 9.8 m/s². Substituting these values into the formula:

Weight = 24 m³ x 10,000 kg/m³ x 9.8 m/s²

Weight = 240,000 N

Therefore, the weight of the paraffin in the tank is 240,000 Newtons.

c) The mass of the paraffin can be calculated using the formula:

Mass = Density x Volume

Substituting the given values:

Mass = 10,000 kg/m³ x 24 m³

Mass = 24,490 kg

Therefore, the mass of the paraffin in the tank is 24,490 kilograms.

d) The pressure at the bottom of the tank due to the paraffin can be calculated using the formula:

Pressure = Weight / Area

The area of the bottom of the tank is equal to the length multiplied by the width. Substituting the values:

Area = 4 m x 3 m

Area = 12 m²

Pressure = 240,000 N / 12 m²

Pressure = 20,000 Pa

Therefore, the pressure at the bottom of the tank due to the paraffin is 20,000 Pascals (Pa).

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ASSIGNMENT what is the length of wire whose resistivity 3x10^-6ohm with the r=0.2mm with a given Value of 15.552 Resistance. ​

Answers

The length of wire whose resistivity is 3 x 10^-6ohm, and radius is 0.2 mm, with a given value of 15.552 resistance is 6.5268 m.

Given data: r = 0.2 mm = 0.2 x 10^-3m Resistivity = 3 x 10^-6 ohm R = 15.552 ohm

Formula Used: Resistivity (ρ) = (RA)/L

Where, R is resistance, A is the area of cross-section, L is the length of the wire.

Resistance (R) = ρ (L/A)

Multiplying A on both sides, we get

Resistance (R) x A = ρ L ... equation (1)

Area of the cross-section of a wire of radius (r) is given by, A = πr^2

where, π is a constant whose value is 3.14

Substituting the given values, we get

A = πr^2= π (0.2 x 10^-3m)^2= 1.2566 x 10^-7 m^2

Substituting the values of R, A and ρ in equation (1), we get

Length of wire (L) = (Resistance x Area) / Resistivity= (15.552 ohm x 1.2566 x 10^-7 m^2) / (3 x 10^-6 ohm)= 6.5268 m

Therefore, the length of wire whose resistivity is 3 x 10^-6ohm, and radius is 0.2 mm, with a given value of 15.552 resistance is 6.5268 m.

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A small heat engine has an energy input of 1,176 joules, and does 201 joules of work. What is the efficiency of the engine? (round your answer to the nearest whole number percent, but leave off the % symbol)

so, if you calculate it is 13.3%, enter your number as 13.

Answers

The efficiency of the engine is 17%.

Given the following data:

Energy input = 1,176 JoulesEnergy output = 201 Joules

To find the efficiency of the engine:

Mathematically, the efficiency of an engine is calculated by using the formula:

\(Efficiency = \frac{E_O}{E_I}\) × \(100\)

Where:

Eo is the energy output.Ei is the energy input.

Substituting the given parameters into the formula, we have;

\(Efficiency = \frac{201}{1176}\) × \(100\)

\(Efficiency = 0.171\) × \(100\)

Efficiency = 17%

Therefore, the efficiency of the engine is 17%.

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Animals conduct_______.

A. cellular respiration

B. photosynthesis

C. both cellular respiration and photosynthesis

Answers

a. cellular respiration
C. Both cellular respiration and photosynthesis

PLEASE ANSWER FAST
Select the statement(s) that accurately illustrate examples of energy transfer by radiation.
Heat emitted from a candle
Ocean waves on the surface of the sea Microwaves from a microwave oven
Radio waves transmitted between towers Sound waves from a car radio​

Answers

Heat emitted from a candle, Microwaves from a microwave oven, Radio waves transmitted between towers, Sound waves from a car radio.

Illustrate examples of energy transfer by radiation?The examples of energy transfer by radiation mentioned above are heat, microwaves, radio waves, and sound waves. Heat is the transfer of thermal energy from one object to another, usually through the process of convection, conduction, or radiation. Heat emitted from a candle is an example of energy transfer by radiation.Microwaves are electromagnetic waves that are used to heat food in a microwave oven. The microwaves are generated by an oscillating electric current and then radiated into the oven, where they are absorbed by the food. This energy is then converted into heat, which cooks the food. Radio waves are used to transmit information between towers, such as those used for cellular phone communication. The towers emit radio waves, which travel through the air, and the information they contain is then picked up by the towers on the other end. Sound waves are also a form of energy transfer by radiation. When a car radio is playing, sound waves are emitted from the radio, which then travel through the air to your ears. The process of energy transfer by radiation is called electromagnetic radiation. This is the process by which energy is transferred from one place to another in the form of electromagnetic waves. Examples of electromagnetic radiation include visible light, infrared radiation, ultraviolet radiation, x-rays, and gamma rays.

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Study the image. Point 1 is beneath water moving toward land. Point 2 is next to an erupting vocano. Point 3 is beneath Earth apostrophe s crust moving toward the water. Point 4 is the same layer as Point 1 moving down below Point 3. At which point is subduction occurring? 1 2 3 4

Answers

Answer:

I believe the answer is D) 4

Explanation:

Subduction is the sideways and downward movement of the edge of a plate of the earth's crust into the mantle beneath another plate.

Study the image. Point 1 is beneath water moving toward land. Point 2 is next to an erupting vocano.

Answer: point 4

Explanation:

5. A tennis player hits a ball when it is at a height of 1.1 meters above the court, giving it a velocity of 12 m/s at an angle of 22° above the horizontal towards the net. The net is 1.81 meters high and stands 2.6 meters from the player.
a) Show that the ball will just pass over the net.
b) Find when and where the ball hits the ground. ​

Answers

According to the information, the ball will just pass over the net (question A); and the ball hits the ground approximately at 7.04 meters from the player and after a time of flight of approximately 1.31 seconds (question B).

How to determine if the ball will clear the net?

To determine if the ball will clear the net, we compare the vertical displacement of the ball with the net height. The ball's initial height is 1.1 meters, and it reaches its highest point during flight. By calculating the trajectory, we can confirm that the ball's vertical displacement at its highest point will be higher than the net height of 1.81 meters, ensuring it clears the net.

How to find when and where the ball hits the ground?

To find when and where the ball hits the ground, we need to calculate the time of flight and horizontal displacement. Using the given initial velocity and angle, we can determine the time it takes for the ball to reach the ground. By calculating the horizontal displacement based on the initial horizontal velocity and total time of flight, we find that the ball hits the ground approximately 7.04 meters from the player. The time of flight is approximately 1.31 seconds. The specific values may vary depending on the given initial conditions.

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8. How much power is used if you use a 20 N force to push a shopping cart 3.5 m in 2 s?

Answers

The power used, given that a force of 20 N is used to push the shopping cart 3.5 m in 2 seconds is 35 W

How do i determine the power used?

First, we shall determine the work done in pushing the cart. Details below:

Force used (F) = 20 NDistance (d) = 3.5 mWork done (Wd) = ?

Wd = Fd

Wd = 20 × 3.5

Wd = 70 J

Finally, we shall determine the power used in pushing the cart. Details below:

Work done (Wd) = 70 JTime (t) = 2 secondsPower used (P) = ?

P = Wd / t

P = 70 / 2

P = 35 W

Thus, we can conclude that the power used is 35 W

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At a temperature of 300 K, the pressure of the gas in a deodorant can is 3 atm.
Calculate the pressure of the gas when it is heated to 900 K.

At a temperature of 300 K, the pressure of the gas in a deodorant can is 3 atm.Calculate the pressure

Answers

The pressure of the gas in the deodorant can when it is heated to 900 K is 9 atm.

What is the pressure of the gas when it is heated to 900 Kelvin?

Gay-Lussac's law states that the pressure exerted by a given quantity of gas varies directly with the absolute temperature of the gas.

It is expressed as;

P₁/T₁ = P₂/T₂

From the data:

Initial pressure P₁ = 3 atmInitial temperature T₁ = 300 KFinal pressure P₂ = ?Initial temperature T₂ = 900 K

We substitute our values into the expression above and solve for final pressure.

P₁/T₁ = P₂/T₂

P₁T₂ = P₂T₁

P₂ = P₁T₂  / T₁

P₂ = ( 3 atm × 900 K ) / 300 K

P₂ = 9.0 atm

Therefore, the final pressure is 9.0 atm.

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A 5 kW, 230 V motor draws a current of 24 A from the supply. Determine the efficiency of this motor.

Answers

The efficiency of motor is 90.58%.To determine the efficiency of the motor, we need to calculate the input power and the output power, and then divide the output power by the input power

The input power can be calculated using the formula:

Input Power = Voltage × Current

Given that the voltage is 230 V and the current is 24 A, we have:

Input Power = 230 V × 24 A

Input Power = 5520 W (or 5.52 kW)

The output power of the motor is given as 5 kW (since it is a 5 kW motor).

Now, we can calculate the efficiency:

Efficiency = (Output Power / Input Power) × 100%

Efficiency = (5 kW / 5.52 kW) × 100%

Efficiency ≈ 90.58%

Therefore, the efficiency of this motor is approximately 90.58%.

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What should the equation be?

What should the equation be?

Answers

The equation for r can be written as, r = k e²/ m( n h/ 2π r)².

What is Bohr model?

The Bohr model shows atom as a central nucleus containing protons and neutrons with the electrons in circular orbitals at specific distances from  nucleus. Angular momentum of an electron by Bohr is given by m v r or n h/2π ( v is the velocity, n is orbit in which electron is revolving, m is mass of electron, and r is  radius of nth orbit).

Given, m v r= n h/2π

So, v= n h/ 2π m r

substitute this value of v in mv²/r= k e²/r²(given)

So, r= m( n h/ 2π m r)/r = k e²/r²

r = k e²/ m( n h/ 2π r)²

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A box is at rest on the table. What can you say about the forces acting on the box? The upward____ and the downward ____ are balanced 1st blank options are: Applied force, normal force,frictional force2nd blank options are: drag force, gravitational force, tension

Answers

Since the box rests on the table, net force is zero, both forces are balanced.

Those forces are:

The Gravitational force that points downwards, (weight)

The normal force that reacts to the gravitational force.

Answers:

Normal force

Gravitational force

find the rms speed of a sample of oxygen at 30° C and having a molar mass of 16 g/mol.​

Answers

At 30°C, the rms speed of a sample of oxygen with a molar mass of 16 g/mol is approximately 482.34 m/s.

The root mean square (rms) speed of a gas molecule is a measure of the average speed of the gas particles in a sample. It can be calculated using the formula:

vrms = √(3kT/m)

Where:

vrms is the rms speed

k is the Boltzmann constant (1.38 x 10^-23 J/K)

T is the temperature in Kelvin

m is the molar mass of the gas in kilograms

To calculate the rms speed of oxygen at 30°C (303 Kelvin) with a molar mass of 16 g/mol, we need to convert the molar mass to kilograms by dividing it by 1000:

m = 16 g/mol = 0.016 kg/mol

Substituting the values into the formula, we have:

vrms = √((3 * 1.38 x 10^-23 J/K * 303 K) / (0.016 kg/mol))

Calculating this expression yields the rms speed of the oxygen sample:

vrms ≈ 482.34 m/s

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Maslow's hierarchy of needs assumes

Answers

Answer:

That people are motivated by a series of five universal needs.

Explanation:

A plane flies from NY to LA at a constant speed of 800 km/hr. How long will it take a plane to fly 4200 km?

Answers

Answer: i don’t know the answer but

Explanation:

Divide the distance by the speed. That gives the travel time.

t = d/v = (4200 km) / (800 km/hr) = ? hrs

a block of mass m is at rest on the table .is it possible for this block at rest to have only a single force acting on it​

Answers

Answer:

In short no , there is always minimum 2 forces.

Explanation:

First force: Weight force ( The force of gravity on the object attracting the block of masse m to earth)

Second force: Normal reaction ( This force is perpendicular to the surface )

Answer:

no

Explanation:

if only single force acts on the block it will stay at rest and it will accelarate in direction of force

2x2 + 4 what is the sum

Answers

The expression 2x2 + 4 can be simplified by first evaluating 2x2, which equals 4. Then, we add 4 and 4 to get the final answer:

2x2 + 4 = 4 + 4 = 8

Therefore, the sum of 2x2 and 4 is 8.

A classroom is about 3 meters high, 20 meters wide and 30 meters long. If the density of air is 1.29 kg/m3, what is the mass of the air in the classroom?

Answers

Answer:

the mass of the air in the classroom = 2322 kg

Explanation:

given:

A classroom is about 3 meters high, 20 meters wide and 30 meters long.

If the density of air is 1.29 kg/m3

find:

what is the mass of the air in the classroom?

density = mass / volume

where mass (m) = 1.29 kg/m³

volume = 3m x 20m x 30m = 1800 m³

plugin values into the formula

  1.29 kg/m³   =        mass    

                             1800 m³

mass =  1.29 kg/m³  ( 1800 m³ )

mass = 2322 kg

therefore,

the mass of the air in the classroom = 2322 kg

If A classroom is about 3 meters high, 20 meters wide and 30 meters long. If the density of air is 1.29 kg/m3, then the mass of the air in the classroom is 2322Kg.

What is density??

Density is the ratio of mass to volume. it tells how much mass a body is having for its unit volume. for example egg yolk has 1027kg/m³ of density, means if we collect numbers of egg yolk and keep it in a container having volume 1 m³ then total amount of mass it is having will be 1027kg. Density is a scalar quantity. when we add egg yolk into the water, egg yolk has greater density than water( 997 kg/m³), because of higher density of egg yolk it contains higher mass in same volume as water. hence due to higher mass higher gravitational force is acting on the egg yolk therefore it goes down on the inside the water. water will float upon the egg yolk. same situation we have seen when we spread oil in the water. ( in that case water has higher density than oil. thats why oil floats on the water).

Given,

Height = 3 m

Width = 20 m

length= 30 m

Density of air = 1.29kg/m³

The  volume of the room = 3×20×30 m³

Volume V = 1800m³

By formula,

Density = Mass/Volume

1.29kg/m³ = Mass/1800m³

Mass of the air = 1.29×1800 = 2322 Kg

The mass of the air is classroom is 2322Kg.

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Which value is equivalent to 5^-2? **Someone plz answer this soon**A. -25B. -10. 1/25D. -1/25 Does a reaction occur when aqueous solutions of manganese(II) iodide and sodium nitrate are combined?If a reaction does occur, write the net ionic equation. Which of the following solutions is the most acidic?4 M ammoniaacetone5 M citric acid5% vinegar 6. The tailgate of a moving van is 3.5 feet above the ground. A loading ramp is attached to the rear of the van at an incline of 10. Find the length of the ramp to the nearest tenth of a foot. Draw How does Malaysia use its policies to overcome inflationary issues? (10 marks) A car rolls down a ramp in a parking garage. The horizontal position of the car in meters over time is shown below. Graph of vertical position (in meters) on y axis and time (in seconds) on x axis. The initial position is 12 m at t=0 s, and the position decreases linearly to 6 m at t=8 s. Then the position is constant at 6 m until t=16 s, then decreases linearly to 0 m at t=24 s. Graph of vertical position (in meters) on y axis and time (in seconds) on x axis. The initial position is 12 m at t=0 s, and the position decreases linearly to 6 m at t=8 s. Then the position is constant at 6 m until t=16 s, then decreases linearly to 0 m at t=24 s. What is the displacement of the car between 0\text{ s}0 s0, start text, space, s, end text and 24\text{ s}24 s24, start text, space, s, end text? 6 \text mmstart text, m, end text What is the distance traveled by the car between 0\text{ s}0 s0, start text, space, s, end text and 24\text{ s}24 s24, start text, space, s, end text? What task does Odysseus tell Penelope he still must accomplish ? Please help your awnser will be brainlist can you show the check too? so i can understand who founded the universal negro improvement association 48 ? (-8) = (-6) please help with this At what price should I offer to buy a $500 bond on December 11, 2018 if I want it to yield 13%, compounded quarterly? The bond matures on April 1, 2022 and bears 11.5% coupons, payable on April 1 and October 1. Prepare journal entries to record each of the following transactions of a merchandising company. The company uses a perpetual inventory system and the gross method. Nov. 5 Purchased 900 units of product at a cost of $10 per unit. Terms of the sale are 4/10, n/60; the invoice is dated November 5. Nov. 7 Returned 35 defective units from the November 5 purchase and received full credit. Nov. 15 Paid the amount due from the November 5 purchase, minus the return on November 7. in which of the following would the gain on selling their personal residence would be taxable for federal income tax purposes? group of answer choices after living in her house for 1 year, mary sold it after living in his house for 1 year, sean sold it because he was relocated by his employer after living in her house for 15 months, gina sold it to move to a nursing home after living in his house for 6 years, fred sold his home A nurse is caring for a veteran who has suffered a polytraumatic injury. Which would be the primary consideration for the nurse when working with this client?a. Use of an assistive device for ambulation may be necessary.B. Diagnosis of posttraumatic stress disorder will be likely.C. Physical and cognitive abilities to complete ADLs independently may be lacking.D. A psychiatric referral will be needed. How many integers from 100 to 999 can be written in base ten without using the digit 7? 90 = 10(x + 7) solve for xshow steps & describe the number of solutions which gas is required for photosynthesis Which of the following new pieces of technology most directly caused the trench warfare of the Western Front of World War I?Machine gunsO Poison gasO AirplanesO Tanks 3 Find f'(-3) if f(x) = 6 - 3x. . f'(-3)=(Simplify your answer. Type an int