A particular engine has a power output of 5 kW and an efficiency of 30%. If the engine expels 6464 J of thermal energy in each cycle, find the heat absorbed in each cycle. Answer in units of J.

Answers

Answer 1

Answer:

The heat absorbed in each cycle is 9,234.286 J

Explanation:

Given;

power output, P = 5 kW = 5,000 W

efficiency of the engine, e = 30 % = 0.3

thermal heat expelled, [tex]Q_c[/tex] = 6464 J

let the heat absorbed = [tex]Q_h[/tex]

The efficiency of the engine is given as;

[tex]e = \frac{W}{Q_h} = \frac{Q_h-Q_c}{Q_h} = \frac{Q_h}{Q_h} - \frac{Q_c}{Q_h} = 1-\frac{Q_c}{Q_h}\\\\e = 1-\frac{Q_c}{Q_h}\\\\0.3 = 1-\frac{Q_c}{Q_h}\\\\\frac{Q_c}{Q_h} = 1-0.3\\\\\frac{Q_c}{Q_h} = 0.7\\\\Q_h = \frac{Q_c}{0.7} \\\\Q_h = \frac{6464}{0.7} = 9,234.286 \ J.[/tex]

Therefore, the heat absorbed in each cycle is 9,234.286 J.


Related Questions

What do you mean by pressure of a liquid? Write its Sl unit.​

Answers

Answer:

Explanation:

The pressure of a liquid is the rate of the force applied by the liquid on a surface per unit area of the surface.

i.e P = [tex]\frac{F}{A}[/tex]

where P is the pressure, F is the force and A is the area.

The depth of the liquid determines its pressure at a definite lower point. As the pressure of a liquid at the bottom of a its container is greater than the pressure at the top of the liquid.

Thus,

P = σhg

where P is the pressure, σ is the density of the liquid, h is the height and g is the force of gravity.

It is measured in Pascals or N[tex]m^{-2}[/tex].

The pressure of liquid has a lot of applications, viz: siphon, force pump, lift pump etc.

Two magnets are placed near each other on a space station orbiting Earth.
Their north and south poles are facing each other. Which statement explains
what will happen to the magnets?
O A. They will be attracted because they are in each other's magnetic
field.
B. They will be repelled because they are in each other's gravitational
field.
O C. They will be attracted because they are in each other's electric
field.
O D. They will be repelled because they are in each other's magnetic
field.

Answers

Two magnets are placed near each other on a space station orbiting Earth and their north and south poles are facing each other then they will be attracted because they are in each other's magnetic field. The correct option is A.

What is a magnetic field?

A magnetic field could be understood as an area around a magnet, magnetic material, or an electric charge in which magnetic force is exerted.

For a simple bar magnet, N-pole and S-pole are the points on a magnet that have the strongest magnetic field. The magnetic field originates from the north pole and terminates in the south pole of a magnet.

For two magnets placed in space with north and south poles are facing each other they will be attracted because they are in each other's magnetic field. Therefore the correct option is A.

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As the mass of a body increases, its gravitational force of attraction to the Earth...

Answers

Answer:

the answer may be mass and distance

Suppose you exert a force of 180 N tangential to a 0.280-m-radius, 75.0-kg grindstone (a solid disk). (a)What torque is exerted

Answers

Answer:

[tex]\tau = 50.4Nm\\[/tex]

Explanation:

Torque is expressed according to the formula;

[tex]\tau = Fr\\[/tex]

F is the force exerted

r is the radius

Given

F = 180N

r = 0.280m

Required

Torque

Substitute into the formula and get torque

[tex]\tau = 180 \times 0.280\\\tau = 50.4Nm\\[/tex]

Hence the torque exerted is 50.4Nm

A daring squirrel runs toward a cat, then turns around to safety. A graph of its velocity over time is shown
below.

Answers

Answer:

it's 1.0

Explanation:

kahn academee

you pick up a 3.8 kg can of paint from the ground a lift it to a height of 1.4 m. you hold the can stationary for half a minute, waiting for a friend on a ladder to take it. how much work do you do duting this time (when the can of paint is stationary)?

Answers

Answer:

No work

Explanation:

During the time of holding the can stationary, no work is being done by the person carrying the can.

The can is simply at rest.

Work is done when a force is applied to move a body through a certain distance.

  Work done  = force x distance

In the instance given in this problem, only when the paint was lifted up is work done.

When the paint is  stationary and being supported by the person, no work is done.

A 125 g pendulum bob hung on a string of length 35 cm has the same period as when the bob is hung from a spring and caused to oscillate. What is the spring’s elastic constant?a) 3.5 N/mb) 5.2 N/mc) 1.9 N/md) 27 N/m

Answers

Answer:

k = 3.5 N/m

Explanation:

It is given that the time period the bob in pendulum is the same as its time period in spring mass system:

[tex]Time\ Period\ of\ Pendulum = Time\ Period\ of\ Spring-Mass\ System\\2\pi \sqrt{\frac{l}{g}} = 2\pi \sqrt{\frac{m}{k}[/tex]

[tex]\frac{l}{g} = \frac{m}{k}\\\\ k = g\frac{m}{l}[/tex]

where,

k = spring constant = ?

g = acceleration due to gravity = 9.81 m/s²

m = mass of bob = 125 g = 0.125 kg

l = length of pendulum = 35 cm = 0.35 m

Therefore,

[tex]k = (9.81\ m/s^2)(\frac{0.125\ kg}{0.35\ m})\\\\[/tex]

k = 3.5 N/m

why the efficiency of the single movable pully system is not 100%​

Answers

Answer:

This is because part of the energy input is used to overcome gravity, inertia and friction

The efficiency of a single movable pulley system is not 100% this is because (i)The friction of the pulley bearing is not zero , (ii)The weight of the pulley and string is not zero. b) The efficiency of a movable pulley is always less than 100%. ... (a) In a single fixed pulley, some effort is wasted in overcoming friction between the strings and the grooves of the pulley; so the effort needed is greater than the load and hence the mechanical advantage is less than the velocity ratio. When you pull either up or down on the rope, the wheel will turn. This makes moving the object easier, because pulling a rope downward, for instance, is easier than lifting a heavy object upward. Of course, a single pulley will not affect the amount of work necessary to move an object very much.

What fraction of an iceberg is submerged? (ρice = 917 kg/m3, ,ρsea = 1030 kg/m3.)

Answers

Answer:

Choice d. Approximately [tex]89\%[/tex] of the volume of this iceberg would be submerged.

Explanation:

Let [tex]V_\text{ice}[/tex] denote the total volume of this iceberg. Let [tex]V_\text{submerged}[/tex] denote the volume of the portion that is under the liquid.

The mass of that iceberg would be [tex]\rho_\text{ice} \cdot V_\text{ice}[/tex]. Let [tex]g[/tex] denote the gravitational field strength ([tex]g \approx 9.81\; \rm N \cdot kg^{-1}[/tex] near the surface of the earth.) The weight of that iceberg would be: [tex]\rho_\text{ice} \cdot V_\text{ice} \cdot g[/tex].

If the iceberg is going to be lifted out of the sea, it would take water with volume [tex]V_\text{submerged}[/tex] to fill the space that the iceberg has previously taken. The mass of that much sea water would be [tex]\rho_\text{sea} \cdot V_\text{submerged}[/tex].

Archimedes' Principle suggests that the weight of that much water will be exactly equal to the buoyancy on the iceberg. By Archimedes' Principle:

[tex]\text{buoyancy} = \rho_\text{sea} \cdot V_\text{submerged} \cdot g[/tex].

The buoyancy on the iceberg should balance the weight of this iceberg. In other words:

[tex]\underbrace{\rho_\text{ice} \cdot V_\text{ice} \cdot g}_\text{weight of iceberg} = \underbrace{\rho_\text{sea} \cdot V_\text{submerged} \cdot g}_\text{buoyancy on iceberg}[/tex].

Rearrange this equation to find the ratio between [tex]V_\text{submerged}[/tex] and [tex]V_\text{ice}[/tex]:

[tex]\begin{aligned} &\frac{V_\text{submerged}}{V_\text{ice}} \\&= \frac{\rho_\text{ice} \cdot g}{\rho_\text{sea} \cdot g}\\ &= \frac{\rho_\text{ice}}{\rho_\text{sea}}\ = \frac{917\; \rm kg \cdot m^{-3}}{1030\; \rm kg \cdot m^{-3}} \approx 0.89 \end{aligned}[/tex].

In other words, [tex]89\%[/tex] of the volume of this iceberg would have been submerged for buoyancy to balance the weight of this iceberg.

In an oil drop experiment, a drop with a weight of 1.9 x 10-14 N was suspended when the potential difference between 2 plates that were 63 mm apart was 780 V. What was the charge on the drop?

Answers

Answer:

Study More You will get it :L

Which component of an atom contains the MAJORITY
of its mass?

Answers

Answer:

proton and neutrons

Explanation:

electron has negligible mass

Help Me Please
8th grade science, one question ​

Answers

You can make a laser go through someone’s skin in some circumstances you can’t do that with other light sources

A bullet is fired horizontally at a height of 2 meters at a velocity of 930 m/s. Assume no air resistance. How far did the bullet travel horizontally when it hit the ground?
595.2 m
478.4 m
364.0 m
247.2 m

Answers

Answer:

im pretty sure its a

Explanation:

It’s most likely A , i’m not so sure though

(2)
(Total 6 marks)
6
Karen wants to pump up her car tyre.
Her pump has a piston with an area of 7 cm^2
175 N
area = 7 cm^2
Karen pushes the handle down with a force of 175 N.
(a)
What pressure does she exert on the air in the pump?

Answers

Answer:

250000Pa

Explanation:

Given parameters:

Force applied = 175N

Area = 7cm²

Unknown:

Pressure exerted by the air in the pump = ?

Solution:

Pressure is the force per unit area acting on a body;

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

Area  = 7cm²  ;

           10000cm²   = 1m²

        7cm² is 7 x 10⁻⁴m²

Pressure  = [tex]\frac{175}{0.0007}[/tex] = 250000Pa

Answer5 ms 3. A football player has a mass of 95 kg, and he is running with a velocity of 15 m/s. What is his momentum? Answer:​

Answers

Answer:

1425kgm/s

Explanation:

Given parameters:

Mass  = 95kg

Velocity  = 15m/s

Unknown:

Momentum  = ?

Solution:

The momentum of a body is the amount of motion it posses;

  Momentum  = mass x velocity

Insert the parameters and solve;

 Momentum  = 95 x 15  = 1425kgm/s

How does cyanoacrylate compare to the elements
that make it up?

HELPPPPP NOWWWWW

Answers

Explanation:

It exists in the tube as single molecules in liquid form. But when they come into contact with water, the molecules react with hydroxide ions to form long polymer chains that set into a hard solid. As there is a thin layer of moisture covering most surfaces, cyanoacrylate can bond them together very effectively.

0
Northeast
North Central
South
Region of the United States
West

8 Claims Evidence Reasoning Which
region of the country has the coldest
January temperatures? Use the data in the
graph to support your claim, and explain

Answers

North is the coldest

When a tennis ball is spun around in a circle on a string and the string breaks the tennis ball
will be pulled in a curved path away from the center because of Centrifugal force
True or false

Answers

Answer:

False

whenever the string breaks, the ball will follow the straight line tangential path

Explanation:

No, the ball will not follow a curved path after the string breaks. Since, the the direction of velocity is tangential to each point of the circular motion. Therefore, it changes at every point. This produces an acceleration in the circle called centripetal acceleration. There is also a tangential component of acceleration acting on the ball during this motion.

So, whenever the string breaks, the ball will follow the straight line tangential path. Hence, the given statement is false.

A ball is tied to the end of a cable of negligible mass. The ball is spun in a circle with a radius 7.1 m making 3.9 revolutions every 9.4 second. What is the centripetal acceleration of the ball?

Answers

Answer:

48,2 m/s²

Explanation:

We're gonna use the Centripetal Acceleration formula: v² / r but before that, we got to know the velocity, that is not shown clearly to us, so....

To know the velocity let's calculate the distance that the ball traveled

The circumference of a circle formula is:

2piR

2 . 3,14 . 7,1 | That is equal to 44,588 m

We know that the ball traveled this distance 3,9 times, so...

44,588 . 3,9 = 173,8932 m

Ok, now we have the distance, just need to know the time, that is 9.4 seconds.

Velocity = Distance / Time

V = 173,8932 / 9,4

V = 18,5 (approximate)

So...

We are back to the first formula:

Ca = v² / r

Ca = 18,5² / 7.1

Ca = 48,2 m/s² (approximate)

I hope it is correct, hahaha.

1. Final position minus the initial position is called

Answers

The answer is displacement

Starting with the definitions of momentum and kinetic energy, derive an equation for the kinetic energy of a particle expressed as a function of its momentum.

Answers

Answer:

[tex]K.E = (\frac{1}{2})Pv[/tex]

Explanation:

The momentum of a particle is defined as the product of its mass and velocity:

[tex]P = mv[/tex]   -------------------- equation (1)

where,

P = momentum of the particle

m = mass of the particle

v = velocity of the particle

The kinetic energy of the particle is given as follows:

[tex]K.E = (\frac{1}{2})mv^2\\\\K.E = (\frac{1}{2})v(mv)[/tex]

using equation (1), we get:

[tex]K.E = (\frac{1}{2})Pv[/tex]

Max observes a spaceship traveling toward him at 0.75c. He measures its length and finds that the spaceship is 250 m long. The ship brakes hard and skids to a stop on a nearby airstrip. Max remeasures the spaceship. What length does he find

Answers

Answer:

380m

Explanation:

We have the speed of the spaceship v = 0.75c

Max measures contracted length L of the spaceship as it travels

We have been given L = 250m

As this ship stops he is going to get exact length of the ship = Lol

We solve using this formula

L = Lo√ 1-v²/c²

From the formula above we make Lo subject of the formula

When we input values

Lo = 250/√1-(0.75c/c)²

= 250/√1-(0.75)²

= 250/√0.4375

= 250/0.6614

= 377.98

This is approximately 380

1. A boy is standing on top of a roof that is 4.5 m high. If he throws a 1.4 kg water balloon down with a velocity of 2m/s,
what velocity will the water balloon strike the ground with? (ignore air resistance)

Answers

Answer:

The magnitude of the final velocity of the water balloon is 84.3 m/s.

Explanation:

To calculate the velocity of the water balloon when it strikes the ground we need to use the next equation:

[tex] v_{f}^{2} = v_{0}^{2} - 2gh [/tex]

Where:

[tex]v_{f}[/tex]: is the final velocity =?

[tex]v_{0}[/tex]: is the initial velocity = 2 m/s

g: is the gravity = 9.81 m/s²

h: is the height = 4.5 m

By entering the above values into equation (1) we have:

[tex] v_{f}^{2} = v_{0}^{2} - 2gh = (2 m/s)^{2} - 2*9.81 m/s^{2}*4.5 m = -84.3 m/s [/tex]

The minus sign is because the direction of the velocity vector is in the negative vertical axis.  

         

Therefore, the magnitude of the final velocity of the water balloon is 84.3 m/s.

I hope it helps you!

An ice skater applies a horizontal force to a 150 N block on frictionless, level ice, causing the block to accelerate uniformly at to the right. After the skater
stops pushing the block, it slides onto a region of ice that is covered with a thin layer of sand. The coefficient of kinetic friction between the block and the
sand-covered ice is 0.36.
Calculate the magnitude of the force of friction acting on the block as it slides over the sand-covered ice




















Answers

Answer:

The friction force has a magnitude of 54 N and points to the left

Explanation:

Friction Force

When an object is moving and encounters friction in the air or rough surfaces, it loses acceleration because the friction force opposes motion.

The friction force when an object is moving on a horizontal surface is calculated by:

[tex]Fr=\mu N[/tex]

Where \mu is the coefficient of static or kinetics friction and N is the normal force.

If no forces other then the weight and the normal are acting upon the y-direction, then the weight and the normal are equal in magnitude:

N = W

Thus, the friction force is:

[tex]Fr=\mu W[/tex]

The ice skater accelerates a block to the right on frictionless horizontal ice and then stops pushing it. The block continues to move at a constant speed when it finds a sand-covered surface with a kinetic coefficient of friction of 0.36.

The friction force is:

Fr=0.36*150

Fr = 54 N

The friction force has a magnitude of 54 N and points to the left

Carlos is riding her bicycle. His velocity is 5 m/s to the right. His acceleration is 1.2 m/s2 to the left. He is doing what?

- moving at a constant speed
- slowing down
- speeding up

Answers

Answer:

Slowing down

Explanation:

Carlos is travelling to the right as indicated by his velocity, so his velocity is +5m/s. He is also accelerating to the left which is the opposite direction to his velocity so his acceleration is -1.2m/s2 to the right.

Since his acceleration is negative relative to his velocity and direction of motion, his speed is decreasing and he is slowing down.

Hope this helped!

HELP PLEASE

When a magnet spins in a oil of wire it generates
A. Magnetism
B.convection
C. Radiation
D.electricity

Answers

Answer:

A, Magnetism

Explanation:

An ordinary electric generator produces electric power by spinning a strong magnet inside a set of wire coils. As the magnet spins, its magnetic field sweeps across the coils and gives rise to electric fields in those coils.

Hope this helps!!

A marble is fired from a spring-loaded gun at an angle of 30◦

above the ground and reaches a

maximum height 500m.
a. What is the velocity of the marble at it’s maximum height?
b. What is the acceleration of the marble at it’s maximum height?
c. What was the marbles initial velocity?
d. How long did it take for the marble to reach it’s maximum height?

Answers

Answer:

jrirnr tn

Explanation:

and then we was just wondering what we should be talking to about to see how you are

g volume of 0.025 m3. If the temperature of the gas is 290 K, what is the rms speed of the gas atoms

Answers

This question is incomplete, the complete question is;

Argon gas (a monatomic gas) is sometimes used to insulate a double-pane window for purposes of insulation. In a particular window, the space in between two glass sheets has a volume of 0.025 m³.

If the temperature of the gas is 290 K . what is the rms speed of the gas atoms ?

The atomic mass of Argon is 39.9 u.

(1 u = 1.66 x 10⁻²⁷ kg) Enter your answer in m/s.

Enter your Answer in m/s

Answer: the rms speed of the gas atoms is 425.754 m/s

Explanation:

Given that;

mass of Argon = 39.9 u

and 1 u = 1.66 x 10⁻²⁷ kg

so 39.9 × 1.66 x 10⁻²⁷ kg = 6.6234 x 10⁻²⁶

Temperature T = 290 K

Now

V_rms = √( 3KT / M)

where Boltzmann's constant K = 1.38 × 10⁻²³ m²kg s⁻² K⁻¹

so we substitute

V_rms = √( 3 × 1.38 × 10⁻²³ × 290 / 6.6234 x 10⁻²⁶)

V_rms = √( 181266.419)

V_rms = 425.754 m/s

Therefore the rms speed of the gas atoms is 425.754 m/s

If the lead bar was heated to a temperature of 120 degrees Celsius, what would happen to its volume, mass and density?

Answers

On heating a lead bar, its volume increases, density decreases and its mass remains constant.

According to Ideal gas equation,

pV = nRT

ρ = m / V

V = Volume

T = Temperature

ρ = Density

m = Mass

Based on Ideal gas equation, Volume is directly proportional to Temperature. As temperature increases, volume also increases. Based on density formula, Volume is indirectly proportional to Density. As Volume increases density decreases.  

In any reaction, the mass is always conserved. Because, mass is the amount of matter present in a substance. During a reaction, atoms are neither created nor destroyed, just rearranged. So the mass always remains constant.  

Therefore, if a lead bar was heated to 120°C, its volume increases, density decreases and its mass remains constant.

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Runner A is initially 8.0 mi west of a flagpole and is running with a constant velocity of 7.0 mi/h due east. Runner B is initially 8.0 mi east of the flagpole and is running with a constant velocity of 6.0 mi/h due
west. How far are the runners from the flagpole when they meet?

Answers

The runners meet at 0.615mi away from the flagpole due to constant velocity.

Velocity informs us of the rate of change of your position, or how quickly your location is altering in relation to time. The difference between your end and beginning positions is referred to as displacement in physics, and velocity is defined as displacement divided by time. Additionally, an object is considered to be moving with constant velocity if it covers the same distance every second.

A vector is a speed that is constant. For a quantity to be fully described, it needs both a magnitude and a direction. Distance per time units is defined as constant velocity. The velocity tells you how quickly your distance is changing per unit of time or how quickly your location is changing.

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