a gas in a cylinder expands from a volume of 0.110m3 to 0.320m3. heat flows into the gas just rapidly enough to keep the pressure constant at 1.65×105pa during the expansion. the total heat added is 1.15×105j.

Answers

Answer 1

With the help of the concept of First Law of Thermodynamics , the work done by the gas is 34650 joules, the change in internal energy of the gas is 80440 joules and it will not matter whether or not gas is ideal.

What is the First Law of Thermodynamics?

The First law of thermodynamics states that energy can neither be created nor be destroyed, but it can be transferred from one form to another. The First law of thermodynamics states that heat is a form of energy and all the processes follow the principle of conservation of energy. According to first law the internal energy of a system is equal to the difference of the net heat supplied to the system and the net work done by the system,

ΔU=ΔQ-ΔW ,where,

ΔU is the change in internal energy of the system

ΔQ is the heat supplied to the system

ΔW is the net work done by the system

In the question we have been given a gas which expands from initial volume Vi = 0.110 [tex]m^3[/tex]

to final volume of Vf = 0.320 [tex]m^3[/tex],

the total heat supplied in the process is, ΔQ = 1.15×10^5 J.

All the process takes place at a constant pressure P = 1.65×10^5 Pa.(isobaric process)

1) The net work done by the gas for an isobaric process is given by,

ΔW = P(Vf - Vi)

ΔW = (1.65×10^5)(0.320 - 0.110)

ΔW = 34650 J

2)The change in internal energy of the gas is given by,

ΔU = ΔQ - ΔW

ΔU = 1.15×10^5 - 34650

ΔU = 80440 J

3) According to the first law, for an isobaric process the work done by an ideal gas or a real gas is equal under same conditions, hence, it does not matter whether the gas is ideal or real. The first law is applicable for all kind of gases

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Related Questions

9. A girl standing upright exerts a pressure of 15000 N/m 2 on the floor. Given
that the total area of contact of shoes is 0.02m ².
a) Determine the mass of the girl.

Answers

The mass of the girl is 30.6 Kg.

Inertia, a fundamental property of all matter, can be quantified as mass. In essence, it's the resistance of a mass of matter to changing its direction or speed in reaction to the application of a force. The more mass a body possesses, the smaller the change that is brought about by an applied force. The dimensionless quantity mass is used to express the amount of matter contained in a particle or object (symbolized m).

Given,

The pressure exerted by the girl = 15000 [tex]\frac{N}{m^{2}}[/tex]

Total area of contact = 0.02[tex]m^{2}[/tex]

As we know,

Pressure  = [tex]\frac{Force}{area}[/tex]

Force = Area x Pressure

Force = 0.02 x 15000

Force = 300N

For the conversion of weight into mass, use the formula "w = m x g." The gravitational pull on an object is referred to as its weight. The equation for the statement is written as w = m x g, or w = mg, by scientists.

Weight of the girl = Mass x Gravitational constant

300N = Mass of the girl x 9.8

Mass of the girl = 300 / 9.8

Mass of the girl =  30.6 Kg

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Given the equation p2 = a3, what is the orbital period, in days, for the planet venus? (venus is located 0.72 au from the sun?) 72 days 225 days 500 days 5,375 days

Answers

The correct answer is 223 days.

The relationship between the duration of revolution and the separation between the sun is shown by Kepler's third law. Using the notions of circular motion and the gravitational and centripetal forces, we may obtain this equation.

According to Kepler's third rule, the semi-major axis of an orbit is linked to the orbital period of a planet around the sun as follows:

p² = a³

where an is the semi-major axis/distance to the star and p is the orbital period in years.

It is said that a = 0.72 AU for Venus.

P= √(0.72 AU)^3 = 0.61 years.

365 days in a year = 222.9 ≈ 223 days.

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Calculate the corresponding wavelengths for these jumps as predicted by this model

Answers

The corresponding wavelengths for these jumps are as follows:

[tex]\lambda_{7-2}[/tex] = 397.7 nm

[tex]\lambda_{6-2}[/tex] = 411 nm

[tex]\lambda_{5-2}[/tex] = 434.9 nm

[tex]\lambda_{4-2}[/tex] = 487.1 nm

[tex]\lambda_{3-2}[/tex] = 657.5 nm

What is a Wavelength?

The distance that is present between ant two successive crests of a wave, mostly points present between a sound wave or electromagnetic wave. Wavelength is also called as the distance between identical points (adjacent crests) in the adjacent cycles of any waveform signal that is propagated in space or along a wire.

Frequency, which is defined as the quantity of wave cycles per second, and wavelength have an inverse relationship. The wavelength of a signal decreases with increasing frequency.

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You whirl a 2-kg body attached to a 1-meter cord around your head in a nearly horizontal circle with a speed of 4 m/s. the tension in the cord is:________

Answers

The tension in the cord is equal to centripetal force which is 32 newton.

We need to know about centripetal force to solve this problem. When an object moves in a circular motion, the object is experiencing centripetal force. The magnitude of centripetal force is

Fc = m . v²/R

where Fc is the centripetal force, m is mass, v is velocity and R is the radius.

From the question, we know that

m = 2 kg

v = 4 m/s

R = 1 m

The tension in the cord is equal to centripetal force

T = Fc

T = m . v²/R

T = 2 . 4² / 1

T = 32 N

Hence, the tension in the cord is 32 newton.

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The scale of the horizontal axis is 5s per division on the vertical axis 5 m/s per división. The initial position is 57 m.
A) what is the position when t=35s?
Answer in units of m.
B) what is the acceleration is represented by the graph? Answer in units of m/s^2

Answers

The position when time, t =35s is  87.59 m.

The acceleration represented by the graph is 0.143 m/s².

Acceleration of the object

a = Δv/Δt

where;

Δv is change in velocityΔt is change in time of motion

a = (6 - 5) / (7 - 0)

a = 0.143 m/s²

Position of the object at the given time, 5 seconds

The position of the object is determined from the product of velocity and time of motion.

s = vt + ¹/₂at²

where;

v is initial velocity = 0t is time = 35 secondsa is acceleration = 0.143 m/s²

s = 0 + ¹/₂(0.143)(35)²

s = 87.59 m

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If the electron just misses the upper plate as it emerges from the field, find the speed of the electron as it emerges from the field?.

Answers

The speed of the electron as it emerges from the field is; 388.587 m/s

What is the speed of the electron?

Initial speed; v₀x = 1.1 * 10⁶ m/s

Acceleration in horizontal direction = 0 m/s²

distance; s_x = 2 cm = 0.02 m

Thus, formula to find time here is;

t = s_x/v₀x

t = 0.02/(1.1 * 10⁶)

t = 1.82 * 10⁻⁶ s

Now for the vertical distance; v,y_o = 0 m/s

Thus, the equation of motion becomes;

s_y = ¹/₂at²

0.005 = ¹/₂a(1.82 * 10⁻⁶)²

Solving for a gives;

a = 3.02 * 10¹³ m/s²

Thus the speed of the electron as it emerges from the field is;

v² = u² + 2as

v = √(0² + 2(3.02 * 10¹³ * 0.005))

v = 388.587 m/s

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Complete Question is;

An electron is projected with an initial speed v0 = 1.1 * 10⁶ m/s into the uniform field between the parallel plates. The distance between the plates is 1 cm and the length of the plates is 2 cm. Assume that the field between the plates is uniform and directed vertically downward, and that the field outside the plates is zero. The electron enters the field at a point midway between the plates. E = N/C

find the speed of the electron as it emerges from the field?.

A mass weighing 4 pounds is attached to a spring whose spring constant is 25 lb/ft. what is the period of simple harmonic motion?

Answers

The basic harmonic motion of the mass-spring system lasts for 5.024 seconds.

We have a 16-pound mass that is fastened to a spring with a 25-pound-per-foot spring constant. This entire spring and mass system is moving harmonically.

What is simple harmonic motion?

Simple harmonic motion (sometimes referred to as SHM) is a particular type of periodic motion in mechanics and physics in which the restoring force on the moving object is inversely proportional to the magnitude of the object's displacement and acts in the direction of the object's equilibrium position.

The particle's acceleration in a simple harmonic motion is geared toward its mean location and directly proportionate to its displacement. Simple harmonic motion results in the conservation of the particle's total energy. SHM is a cyclical motion.

Simple harmonic motion is demonstrated by bungee jumping. Due to the flexibility of the bungee cord, the jumper is experiencing SHM as it oscillates up and down.

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(15 points) a 4000-w electric resistance heater is heating water in an insulated, constant diameter tube. if the water enters the heater steadily at 315 k and leaves at 360 k, determine the mass flow rate of water in kg/s.

Answers

The mass flow rate of water is 0.08757 kg/s

Calculation

mCp (T2 - T1) = Q =w

m x 1.015 (360-315) = 4000

m = 4000/ 1.015 x 10^3 x (360-315)

m = 0.08757 kg/s

The density of water at 68°F / 20°C has a flow rate in our example of about 998 kg/m3. However, as the density of water varies with temperature, salinity, and pressure, use our water density calculator if you want to be extremely accurate. 30.58 lbs/s of mass flow were shown by the gadget.

How is water mass flow calculated?

By dividing the volume flow rate by the fluid’s mass density, one can determine the mass flow rate. The cross-sectional vector area, A, is multiplied by the flow velocity of the mass elements, v, to determine the volume flow rate.

What is the mass flow rate in units?

The mass of a substance that moves per unit of time is known as the mass flow rate in physics and engineering.

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A block of mass 5 kg is pulled across a horizontal bench by a horizontal force. the acceleration of the block is 2.5 m/s2 when the friction force is 10 n. calculate the horizontal pulling force.

Answers

The horizontal pulling force on the block is 22.5 N.

When a block is pulled by applying a force, friction also acts on it.

The net force is calculated by taking the net value of the two forces.

The free-body diagram(FBD) of the block,  is shown in the adjoining diagram.

Thus,

F - f = ma

Here F is the applied horizontal force and f is the frictional force.

Putting the given values in the above equation

F - 10 N = 5 x 2.5

F = 22.5 N

Thus, the horizontal pulling force on the block is 22.5 N.

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The horizontal pulling force on the block is 22.5 N.

When a block is pulled by applying a force, friction also acts on it.

The net force is calculated by taking the net value of the two forces.

The free-body diagram(FBD) of the block,  is shown in the adjoining diagram.

Thus,

F - f = ma

Here F is the applied horizontal force and f is the frictional force.

Putting the given values in the above equation

F - 10 N = 5 x 2.5

F = 22.5 N

Thus, the horizontal pulling force on the block is 22.5 N.

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What is the potential difference between the plates of a 3.7-f capacitor that stores sufficient energy to operate a 75.0-w light bulb for one minute?

Answers

The potential difference between the plates will be 1552 Volts.

What is a potential difference?

Voltage, or the difference in electric potential between two points, is defined as the amount of labor per unit of charge needed to move a test charge between the two points.

Given that a 3.7-f capacitor that stores sufficient energy to operate a 75.0-w

The potential difference will be calculated by the formula below:-

Q = I t            

Where I = charge / time

Q = V * C    

V C = I t

V = I t / C

V = 75 C/s x 60 sec / 2.9 faraday

V =  1552 Volts

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If you have two convex lenses with different focal lengths, which has the larger magnification?

Answers

The larger magnification will be based on Focal length

The narrower the focal length, the smaller the magnification, and the larger the focal length, the larger the magnification.

it is obvious that the angle of the photograph from the objective lens or reflect to the eyepiece could be narrower the higher the focal duration. therefore, the photo may be considered via the eyepiece deeper with out dropping attention the narrower the angle (higher focal period).

The intensity of consciousness is shorter than the focal period. It approach that in comparison to large focal lengths, decrease focal lengths provide you with much less focuser play.

although you could nevertheless acquire the equal magnification with either focal period, the shorter focal duration will lose awareness a great deal earlier than the bigger focal period.

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the effect of friction on air increases wind speed is relevant only within the planetary boundary layer increases with height increases the coriolis force

Answers

The effect of friction on air: B. is relevant only within the planetary boundary layer.

The types of force.

In Science, there are different types of force that acts on a physical object and these include the following:

Tension force.Electrical forceGravitational forceAir resistance forceApplied forceNormal Force.Magnetic forceFrictional force.

What is a frictional force?

Frictional force can be defined as a type of force that resists and slows the relative motion of two physical objects when there surfaces come in contact. This ultimately implies that, a frictional force prevents two surfaces from easily sliding over or slipping across one another.

Based on scientific research and experiments, we can reasonably infer that the effect of friction on air is relevant and important only within the planetary boundary layer.

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Complete Question:

The effect of friction on air:

A. increases wind speed.

B. is relevant only within the planetary boundary layer.

C. causes airflow to cross isobars rather than run parallel to them.

D. increases the Coriolis force. E. increases with height.

a jet fighter pilot wishes to accelerate from rest at 5 g to reach mach-3 (three times the speed of sound) as quickly as possible. experimental tests reveal that he will black out if this acceleration lasts for more than 4.9 s . use 331 m/s for the speed of sound.

Answers

The calculated greatest speed is v=0.725 vs.

The ratio of a moving object's speed to the fundamental speed of sound is known as the Mach number. Therefore, an object travelling at twice the speed of sound has a Mach number of 2. speed of sound, the rate at which sound waves move through various substances. Modern estimates of the speed of sound, in particular, for dry air at a temperature of 0 °C (32 °F), are 331.29 meters (1,086.9 feet) per second.

The sound speed is vs=331 m/s.

The duration is t=4.9s.

A=5g is the acceleration.

u=0 is the beginning speed.

Let v be the fastest possible speed without a blackout.

The initial equation of motion is given by v=u+at

v=0+5gt

v=5(9.81m/s2)(4.9s)

v=240m/s

v=240m/svs/331m/s

v=0.725 vs.

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A compact disc (cd) records audio signals digitally by means of a binary code. assume an audio signal bandwidth of 15 khz. (a) what is the nyquist rate?

Answers

a. Nyquist rate = 30 kHz is the Nyquist rate.

compact disc (CD) records audio signals digitally by means of a binary code. Assume an audio signal bandwidth of 15 kHz.

⇒ According to the Nyquist criteria, the sampling frequency must be at least 2 times the bandwidth.

⇒Nyquist rate = 2 x 15 kHz

⇒Nyquist rate = 30 kHz

So that means we need to take at least 30,000 sample/s to meet Nyquist criteria.  

What exactly is the Nyquist rate?

To accurately measure the Nyquist rate, multiply it by two. The theorem can be applied backwards. The Nyquist frequency, one-half the given sample rate, is the highest frequency that equipment of a given sample rate can reliably measure. The Nyquist theorem is a fundamental concept in information theory.Nyquist specifically states that in a noise-free channel, we can transmit data at a rate of up to. C=2Blog2M. bits per second, where B denotes the bandwidth (in hertz) and M denotes the number of signal levelsTo determine the Nyquist frequency for your system, divide the sampling rate by two. For example, if your system's sampling rate is 10 Ms./s (10,000,000 samples per second), your system's Nyquist frequency will be 5 MHz's

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bio froghopper jump a spittlebug called the froghopper (philaenus spumarius) is believed to be the best jumper in the animal world. it pushes off with muscular rear legs for 0.0010 s, reaching a speed of 4.0 m/s. determine its acceleration during this launch and the distance that the froghopper moves while its legs are pushing.

Answers

A. Acceleration during launch = 4000 m/s²

B. Distance that the froghopper moves while its legs are pushing = 0.002 m

Kinematics is sometimes regarded as a subfield of mathematics and is sometimes referred to as the geometry of motion. But in physics, it serves as the basis for classical mechanics. Without considering the forces that propel an item, kinematics studies how an object moves. It gives a description of the spatial positions of bodies or systems of material particles as well as the velocities and rates of change of those velocities.

t = 0.001 s

u = 4 m/s

PART A :

a = Δv / t

a = [tex]\frac{4m/s}{0.001s}[/tex]

a = 4000 m/s²

Therefore, Acceleration during launch = 4000 m/s²

PART B :

S = ut +  [tex]\frac{1}{2}[/tex]at²

S = 0(0.001s) + [tex]\frac{1}{2}[/tex]  x 4000 m/s² (0.001)²

S = 0.002 m

Therefore, the Distance that the froghopper moves while its legs are pushing = 0.002 m

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the position of a toy locomotive moving on a straight track along the x-axis is given by the equation x

Answers

The correct answer is 1.5 seconds.

We are aware that the differentiation is used to calculate the rate at which a quantity changes over time. We are aware that the velocity is the name given to the derivative of the displacement. Acceleration is what we get when we differentiate velocity.

x = t^4 - 6t^2 + 9t

To calculate the velocity, take the derivative.

v = 4t^2 - 12t + 9

To acquire acceleration, repeat the derivative.

a = 8t - 12

force:

F = ma

If a = 0, F = 0. As a result, when a = 0, the net force on the locomotive is equal to zero.

a = 0 = 8t -12

8t -12 = 0

8t = 12

t = 12/8 = 1.5 seconds

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A ball is thrown directly downward with an initial speed of 7.60 m/s, from a height of 29.3 m. after what time interval does it strike the ground?

Answers

The time interval taken by the ball to strike the ground is 1.75 s.

First calculate the vertical velocity by using the kinematics equation of motion for constant acceleration.

Finally use the equation of motion which relates the vertical velocity with time and calculate the time.

The equation of motion for constant acceleration is,  

vf^2 = vi^2 + 2aΔy

vf is final velocity, vi is initial velocity, y  is vertical distance

vi = 7.60  vf = ? a = 9.8m/s^2  y = 29.3m

y = [tex]\sqrt{8.70^2-19.6-30.2[/tex]   , since height is vertical so we took -9.8 accelaration

y= -25.83

so now

The equation of motion which relates velocity with time is

vf = vi + at

t = [tex]\frac{ vf - vi }{ a}[/tex]

t = [tex]\frac{-25.83- (-8.70}{ -9.80}[/tex]

t = 1.748 s

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Just a quick joke but…. Why are apartments called A-P-A-R-T-M-E-N-T-S if they are so close together??????

Answers

Answer:

why?

Explanation:

Do you need any help on anything else?

When you push a shopping cart the friction that is opposing the motion is called _____ friction.

What is the friction used when pushing a shopping cart?

Answers

Answer:

Rolling Friction

Explanation:

Friction always acts in the opposite direction to that of the motion of the other object. Meaning, friction slows down the motion of an object by exerting opposing forces on it

Find the velocity and position vectors of a particle that has the given acceleration and the given initial velocity and position. a(t) = 3 i 4 j, v(0) = k, r(0) = i

Answers

The velocity vector is (v = 3ti + 4tj + k) and the position vector is (x = (3t²/2 + 1) i + 2t²j + tk)

We need to know about vector to solve this problem. The velocity is depend on position vector and acceleration. It can be written as

v = dx / dt

where v is velocity, dx is displacement and dt is time interval.

By differentiating the velocity function, we can also get the acceleration

a = dv / dt

where a is acceleration.

From the question above, we know that

a(t) = 3i + 4j

Hence, the velocity is

a = dv / dt

dv = a . dt

v = ∫a . dt

v = ∫(3i + 4j) . dt

v = (3i + 4j)t + v(0)

because v(0) is k, thus

v = 3ti + 4tj + k

Find the position vector

v = dx / dt

dx = v . dt

x = ∫v . dt

x =  ∫(3ti + 4tj + k) . dt

x = (3t²/2 i + 2t²j + tk) + x(0)

because x(0) is i, thus

x = 3t²/2 i + 2t²j + tk + i

x = (3t²/2 + 1) i + 2t²j + tk

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a body of mass m rests on a horizontal plane with the stattic and kinetic fricion coefficient both being euqal to u

Answers

The body of mass is resting on a horizontal plane, then the normal force exerted onto it by stattic and kinetic frictional forces both have an equal magnitude. In addition, the net resultant force acting upon the body of mass will be zero.

What do you mean by statistic friction?Statistic friction is a term that refers to the resistance we experience when trying to measure and monitor our performance. This can be due to a variety of factors, including statistical noise or bias. Statistics can often feel like one big puzzle that we're never able to fully understand or control.Statistical friction can lead us down two possible paths: the path of confusion and frustration, or the path of discovery and mastery.This covers everything from fluids and vapors to tangible objects like tools or automobiles. Through figuring out the forces that are at play when two substances come into contact, you can then understand how those forces will impact the things involved. This is done by understanding stattic friction.

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if we want to find the size of the force necessary to just barely overcome static friction (in which case fs

Answers

Force necessary to overcome static friction= (μs mg ) / (cos Ф + μs sinФ)

We have to find Force(F) in terms of m, g,  Ф ,and μs

To get the value of F first we have to find the value of N by using the formula of friction,

F sin Ф + N - mg =0

N = mg - F sinФ

As the body does not move so the net force is zero, therefore we have,

FcosФ -μs N = 0

Now we have to put the value of N in the equation. To know the force necessary to overcome the static friction we have,

F cosФ - μs ( mg - FsinФ) = 0

F cosФ - μs mg + μs FsinФ = 0

F( cos Ф + μs sinФ ) = μs mg

F = μs mg/ (cosФ +μs sin Ф)

Therefore we get the value of F i.e., force in terms of m, g, Ф, and μs.

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The complete question is:

If we want to find the size of the force necessary to just barely overcome static friction (in which case fs=μsN), we use the condition that the sum of the forces in both directions must be 0. Using some basic trigonometry, we can write this condition out for the forces in both the horizontal and vertical directions, respectively, as Fcosθ−μsN=0 Fsinθ+N−mg=0 To find the magnitude of force F, we have to solve a system of two equations with both F and the normal force N unknown. Use the methods we have learned to find an expression for F in terms of m, g, θ, and μs (no N).

A 900 kg car that exerts 5000 n of applied force on a level road while being opposed by 1000 n of friction. determine the acceleration of the car.

Answers

A 900 kg car that exerts 5000 n of applied force on a level road while being opposed by 1000 n of friction -the acceleration of the car is 44.4  m/s².

The acceleration of the car is  44.4  m/s².

Given that

A 900 kg carThat car is exerts 5000 n of applied force on a level road while being opposed by 1000 n of friction.

To find

the acceleration of the car.

So, according the question

we have,

     mass of the car m = 900 kg

     applied force by car f = 5000 n

     friction force r = 1000 n

now,

    total net force (F) = applied force (f)- friction force (r)

                              F = 5000 - 1000

                              F = 4000 n

we know that,

                             F = ma

where,

      m = mass of car

       a = acceleration

So, putting the values of m and F,

                          4000 = 900 × a        

                                a  [tex]= \frac{4000}{900}[/tex]

                                a  =  44.4  m/s²

The acceleration of the car is  44.4  m/s².

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Find the velocity of the car after 5.3 s if its acceleration is 1.1 m/s2 due north.

Answers

Initially, an automobile is moving north at a speed of 23 m/s. If the automobile accelerates at [tex]1.1 m/s^{2}[/tex] in the direction of travel, its speed after 5.3 seconds will be 28.83 m/s.

The initial speed of the car u = 23 m/s

Time is taken t = 5.3 s

Acceleration, a = [tex]1.1 m/s^{2}[/tex]

the first movement equation (Vf =Vi + at) offers with time, acceleration, very last pace, and starting pace. the first equation of motion can be used to calculate time, acceleration, beginning pace, and final pace.

Applying 1st equation of motion,

v = u + at

v = 23 + 1.1 × 5.3       (Since both beginning speed and acceleration are in the same direction)

⟹  v = 28.83 m/s      (due North)

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What is the name of the yellow thing in the sky that gives us heat?

Answers

Answer:

lol the SUN

Explanation:

Answer:

bro SUN just sun giving us heat

Because of the ______________________, we can predict that gravity works the same way on earth as it does on mars.

Answers

Because of the cosmological principle, we can predict gravity works similarly on Earth as on Mars.

The cosmological principle says that an observer's view of the universe is independent of both the direction he looks and his location. This principle only applies to the universe's large-scale properties, but it does suggest that the world has no edge, implying that the big-bang origin took place not at a specific point in space, but instead throughout space at the exact time.

These two assumptions allow us to determine the history of the universe after a specific epoch known as the Planck time. Scientists are yet to discover what existed prior to Planck time.

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a billiard ball travels 23 cm in the positive direction, hits the cushion and rebounds in the negative direction, and finally comes to rest 7.5 cm behind its original position.

Answers

The billiard ball involves relaxation 80 cm

Displacement refers to the space among the very last and the preliminary role. Hence the displacement of the ball can be the distinction among the preliminary and the very last displacement.

Let the preliminary role be 0

Final role = 8 cm

So the distinction among preliminary role and very last role = 0 - 88 cm

So the billiard ball involves relaxation 80 cm at the back of its orbital role.

What is displacement thickness in boundary layer theory?

The displacement thickness for the boundary layer is described as the gap the floor could need to pass withinside the y-course to lessen the glide passing via way of means of a extent equal to the actual impact of the boundary layer.

The distance from the boundary floor where the rate reaches 99% of the mainstream speed is used as an arbitrarily defined measure of the thickness of the boundary layer indicated by the symbol.

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a swimmer wishes to swim at a speed of 1.0m/s across river to a point A directly opposite him. There is uniform current with speed 0.5 metres per seconds. Find the direction in which the swim.er must head to do it

Answers

Answer:

The swimmer must swim at 1.12 m/s at 26.565 ° upstream from the opposing bank, according to the parallelogram rule of vectors.

What is parallelogram law of vector addition?

If two vectors act along two consecutive sides of a parallelogram (with magnitude equal to the length of the sides) both heading away from the common vertex, then the resultant is represented by the parallelogram's diagonal passing through the same common vertex.

Explanation:

Let, the current's speed be x = 0.5 m/s, the swimmer's speed be y m/s and the angle between them be . The resulting speed at angle with x will be r = 1.0 m/s. Assuming b is 90°.

Then, the parallelogram law of vectors states that

Sin b = y Sin a/r

=> y Sin a = r

=> y Sin a = 1

And Cos b = (x + y Cos a)/r

=> y Cos a = -x = -0.5

Therefore, tan a = 1/ (-0.2)

=> tan a = -2

As a result, a = 116.565°

Consequently, y = 1/Sin a

=> y = 1/ Sin116.565°

=> y = 1.118 ≈ 1.12 m/s

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A car is driving down a road at a constant velocity of 15 m/s. How much time will it take the car to travel 40 m?

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Answer:

The car moving at velocity 15 m/s will take 2.67 s to travel 40 m.

What do you mean by velocity?

An object's velocity can be defined as the rate of change in the object's position with respect to a frame of reference and time.

A rocket launching into space and a car going north on a busy freeway may both be quantified using velocity.

Explanation:

Velocity of the car = 15 m/s

Distance = 40 m

Therefore, time taken to travel 40 m at a velocity of 15 m/s

= 40/15 = 2.666 ≈ 2.67 s

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a mass of the block is 200 g, the dimensions of the block are 6 cm by 4 cm by 5 cm. what is its density?

Answers

Density is mass over volume, so first find out the volume: 6 x 4 x 5 = 120 cm^3 . Therefore; 200g/120cm^3 = 1.7 g/cm^3
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