A system releases 680 kj of heat and does 150 kj of work on the surroundings.what is the change in internal energy of the system?

Answers

Answer 1
I need a answer choice

Related Questions

Seagulls are often observed dropping clams and other shellfish from a height to the rocks below, as a mean of opening the shells. If a seagull drops a shell from rest at a height of 14.0m, how fast is the shell moving when it hits the rocks?

Answers

This is free fall with initial speed zero under the acceleration of gravity [tex]g[/tex]
We apply the equation 
[tex]v^2=v_0^2+2a*s[/tex]
rewritten as
[tex]v^2=2gh[/tex]
From this we find the sspeed of the shell as
[tex]v= \sqrt{2*9.81*14}=16.57 (m/s) [/tex]

Final answer:

The shell dropped by the seagull would be moving at a speed of approximately 16.7 m/s when it hits the ground. This calculation is based on the physics concept of final velocity in a free-fall motion.

Explanation:

In this scenario, the concept of kinematics, an aspect of Physics, will be employed. Particularly, we'll be focusing on free fall motion. The speed of the shell just before hitting the ground can be calculated using the equation for the final velocity in free fall: v = √(2gs) where v is the final velocity, g is the acceleration due to gravity (approximately 9.81 m/s² on Earth), and s is the height from which the object is dropped.

Substituting the given values (s = 14.0m, g = 9.81m/s²) into the equation, the calculation should look like this:

v = √(2*9.81*14.0) ≈ 16.7 m/s

So, the shell should be moving at approximately 16.7 m/s when it hits the rocks below.

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An object has a mass of 30 grams and measures 3cmx2cmx1cm. What is the density of the object?

Answers

The density of the object is the ratio of its mass and volume. From the given dimensions above, we determine the volume through the equation,

      V = L x W x H

Substituting,

    V = (3 cm)(2 cm)(1 cm) = 6 cm³

From the idea presented above,
    d = m/V

Substituting the known values,

   d = (30 g)/ (6 cm³) = 5 g/cm³

ANSWER: 5 g/cm³

A runner achieves a velocity of 11.1m/s nine seconds after he begins running. What is his acceleration?

Answers

Using this kinematics formula: Vf=vi+at, we get: 11.1=0+a*9, solving for a we get 1.233 m/s^2. That's his acceleration.

Barometer is taken from the base to the top of a 279-m tower. assuming the density of air is 1.29 kg/m3, what is the measured change in pressure?

Answers

Answer : P = 3527 Pa Explanation: Given : height, h = 279 m and density of air , Ď = 1.29 kg/m3 Change in pressure , P = h*Ď*g We know that gravity, g = 9.8 m/s2 Therefore P = 279 * 1.29 * 9.8 = 3527 Pa
Final answer:

To determine the change in atmospheric pressure, apply the formula for hydrostatic pressure, p = hdg, where h is height (279m), d is air density (1.29 kg/m³), and g is acceleration due to gravity (9.81 m/s²). The product gives you the change in pressure in Pascals (Pa).

Explanation:

The calculation of the change in pressure as the barometer is taken from the base to the top of the 279m tower involves using the formula for hydrostatic pressure. This formula is given by p = hdg, where h is the height of the fluid column, d is the fluid density and g is the acceleration due to gravity. In this case, the fluid is air.

Given that the density (d) of air is approximately 1.29 kg/m³, the height of the tower (h) is 279 m, and g (the acceleration due to gravity) is 9.81 m/s², you would calculate the change in pressure by simply plugging these values into the formula: p = 1.29 kg/m³ * 279 m * 9.81 m/s². Once you have multiplied these numbers together, the answer will give you the change in atmospheric pressure in Pascals (Pa).

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A car with a mass of 2500 kg accelerates when the traffic light turns green. If the net force on the car is 5000 Newton’s, what is the car’s acceleration?

Answers

a=Fnet/m
a=5000N/2500kg
a= 2 m/s^2 (meters per second squared)

Final answer:

The car's acceleration can be calculated using Newton's second law of motion, which states that force is equal to mass multiplied by acceleration. By rearranging the formula, we can find the car's acceleration to be 2 m/s².

Explanation:

The acceleration of a car can be calculated using Newton's second law of motion, which states that force is equal to mass multiplied by acceleration (F = ma). In this case, the net force acting on the car is 5000 N and the mass of the car is 2500 kg. Using the formula, we can rearrange it to solve for acceleration:

a = F / m

Substituting the given values, we have:
a = 5000 N / 2500 kg

Simplifying the equation gives:
a = 2 m/s²

Therefore, the car's acceleration is 2 m/s².

The summer season is closely linked to which of the following?
An equinox because the Earth is very close to the Sun
An equinox because the Earth is very far away from the Sun
A solstice because the Earth is very close to the Sun
A solstice because the Earth is very far away from the Sun

Answers

The summer season begins with a solstice and ends with an equinox, in both hemispheres.
Equinoxes and solstices have no connection to the Earth's distance from the sun.
In the northern hemisphere, the Earth is FARTHEST from the sun early in summer, around the first week of July.

Answer:

The correct statement is “A solstice because the Earth is very close to the Sun”

Explanation:

The solstice occurs when the sun is closer or further from one of the Earth's hemispheres, increasing the duration of the day in one part of the world, and decreasing its duration in the other. That is, during the solstice, the sun is closer to one of the hemispheres, causing the day to have a longer duration, while the night is longer in the other hemisphere.

In the case of the equinox, the sun is on the equator line, so the day and night in both hemispheres have the same duration. At that time the part of the Earth closest to the Sun is the equator.

The solstice is caused because the axis on which our planet rotates on itself is slightly inclined with respect to the translation plane, this is its trajectory around the Sun.

That implies that different regions of the globe receive more or less light at different times of the year.

The equinox like the solstice is presented twice a year, marking the entrance of the seasons. The sunny days are longer during the summer solstice, while the nights are longer during the winter solstice. The equinox occurs at the beginning of autumn and spring, when the sun is closer to the equator.

So the correct statement is “A solstice because the Earth is very close to the Sun”

In a chemical reaction sodium and chlorine react to form sodium chloride.

Which term names the sodium?

A.an ion

B.an electron

C.a product

D.a reactant

Answers

Sodium is D. a reactant

Answer:

The answer is D) A Reactant!

Explanation:

The answer is D because just like water, salt is made up of two different components. Making it a reactant!

Potential energy
a. transfers motion to matter.
b. is stored energy unavailable to do work.
c. is kinetic energy that has not yet been turned to heat.
d. contains less energy than kinetic energy.
e. is contained in matter placed in certain positions or arrangements.

Answers

the answer would be B.

A bird sitting high in a tree is an example of an object with what type of energy? (2 points)

potential energy because it has the ability to do work

kinetic energy because it has the ability to do work

potential energy because it is doing work

kinetic energy because it is doing work
16.
A cook preparing a meal for a group of people is an example of (2 points)

kinetic energy because he has the ability to make a meal.

potential energy because he has the ability to make a meal.

kinetic energy because he is making the meal.

potential energy because he is making the meal.
17.
When a bow is stretched back and an arrow is shot, what type of energy conversion has occurred? (2 points)

chemical to mechanical

elastic to mechanical

mechanical to thermal

mechanical to elastic

Answers

15)Potential energy because it has the ability to do work.

16) Kinetic energy because he is making the meal.

17) Elastic to Mechanical

Answer:

1) the bird sitting on the tree is not moving, hence he has not kinetic energy. By the fact that the bird is high in the tree you can see that it has some potential energy (wich in this case depends on the height) and the bird has potential energy because has the ability  of doing work (lije jumping down for example)

2) the cook is moving, because he needs to do it in order to prepare the meal, then he has kinetic energy and is doing work (because he puts the energy in order to move himself) the answer is "kinetic energy because he is making the meal.

3) Ok, when you stretch the bow, it wants to return to his original shape, then you are creating elastical energy in the bow, and you are using mechanical energy to stretch the bow.  Then when the bow releases his elastical energy (also you can think that when the string is pushing the arrow, it is applying mechanical energy on the arrow), it propulsates the arrow, creating now kinetic energy into the arrow.

The correct answer is mechanical to elastic, because you need to first use mechanical energy in order to stretch the bow and create the elastic energy, and then mechanical again when the string starts to impulse the arrow.

A source of sound is kept in a jar in a vacuum. Air is slowly introduced in to the jar. What happens to the sound coming out of the jar? A The loudness of the sound increases gradually. B The loudness of the source decreases gradually. C The sound remains unchanged. D The pitch of the sound increases gradually. E
The pitch of the sound decreases gradually.

Answers

The loudness of the sound increases gradually as the air is slowly introduced in to the jar. This is because sound needs a physical medium and in a vacuum there is none. The air provides that medium and as it is introduced, the transfer of sound energy increases

A source of sound is kept in a jar in a vacuum. Air is slowly introduced in to the jar. The loudness of the sound increases gradually  because the air is slowly introduced in to the jar as sound needs a physical medium and in a vacuum there is none.

what are the properties of a sound ?

The pitch of the sound is an important property where the perception of frequency of sound occur by human ear within the range of human hearing, higher the frequency of the sound the higher is its pitch and a lower frequency means a lower pitch.

The loudness of sound can be determined by amplitude of the sound which  is a measure of the magnitude of the maximum disturbance of sound.

The speed of the sound can be detrained as  the sound waves travel through the medium is called the speed of sound and it is different for different mediums, travels fastest in solids.

When sound waves hit the surface of a solid  it reflects back to the same medium as it follows laws of reflection, Timbre is the another  property of sound which is used to differentiate sounds of the same frequency.

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Explain how to identify a starting position on a line.

Answers

a fully shaded bubble with a line going right.

Sample Response: Pick a reference point on the line to be the zero position. Determine the direction and measure the distance from zero in standard units.

-The reference point is set on the line.

-The distance from that reference point can be used to describe movement.

-Standard units of measurement can be used to identify the distance from the reference point.

How does speed affect the friction between a road and a skidding tire?

Answers

speed does not affect friction, friction affects force

The total volume of hydrogen gas needed to fill the hindenburg was 2.09 × 108 l at 1.00 atm and 25.1°
c. how much energy was evolved when it burned?

Answers

Final answer:

The energy released from the burning of the Hindenburg's hydrogen can be calculated using Einstein's theory of relativity and the mass of hydrogen converted into helium. However, actual values may vary.

Explanation:

To answer your question, we need to calculate the amount of energy produced when hydrogen is converted into helium. From the provided reference, when 1 kilogram of hydrogen is converted into helium, the mass of the helium is only 0.9929 kilogram, and 0.0071 kilogram of material is converted into energy. This conversion is guided by Einstein's theory of relativity, which states that energy equals mass times the speed of light squared. So, the energy released by the conversion of just 1 kilogram of hydrogen into helium can be calculated using the formula E=mc² (where 'm' is mass and 'c' is the speed of light). Therefore, applying the numbers, the energy evolved would be 0.0071 kg * (3 * 10⁸ m/s)². However, please note that real-world values can be different due to various factors like loss of gas, incomplete reaction, etc.

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The energy of [tex]\( 2.45 \times 10^9 \text{ kJ} \)[/tex] is evolved when the hydrogen gas is used to fill the Hindenburg.

To calculate the energy evolved when the hydrogen gas used to fill the Hindenburg burned, we need to know the combustion reaction and the energy released per mole of hydrogen gas.

The combustion reaction of hydrogen gas is:

[tex]\[ 2H_2(g) + O_2(g) \rightarrow 2H_2O(g) \][/tex]

The enthalpy change [tex](\(\Delta H\))[/tex] for this reaction is approximately [tex]\(-286 \text{ kJ/mol}\) of \(H_2\)[/tex].

Using the ideal gas law PV = nRT to find the number of moles (n) of [tex]\(H_2\)[/tex]:

P = 1.00 atm

[tex]\[ V = 2.09 \times 10^8 \text{ L} \][/tex]

[tex]\[ R = 0.0821 \text{ L} \cdot \text{atm} / \text{mol} \cdot \text{K} \][/tex]

T = 298.25 K

[tex]\[ n = \frac{PV}{RT} \][/tex]

[tex]\[ n = \frac{(1.00 \text{ atm})(2.09 \times 10^8 \text{ L})}{(0.0821 \text{ L} \cdot \text{atm} / \text{mol} \cdot \text{K})(298.25 \text{ K})} \][/tex]

[tex]\[ n = \frac{2.09 \times 10^8}{24.45} \][/tex]

[tex]\[ n \approx 8.55 \times 10^6 \text{ moles} \][/tex]

Now, calculate the total energy evolved when this amount of hydrogen burns:

[tex]\[ \text{Energy evolved} = n \times \Delta H \][/tex]

[tex]\[ \text{Energy evolved} = (8.55 \times 10^6 \text{ moles}) \times (-286 \text{ kJ/mol}) \][/tex]

[tex]\[ \text{Energy evolved} = -2.45 \times 10^9 \text{ kJ} \][/tex]

The negative sign indicates that energy is released, so the total energy evolved is [tex]\[ 2.45 \times 10^9 \text{ kJ} \][/tex].

Do changes in speed and mass have the same effect on the kinetic energy of an object? Explain.

Answers

Yes, it does because depending on its speed and mass, it will either move faster than another object or move slower. This shows a demonstration of kinetic energy increasing or decreasing.

in 1650, an individual calculated that the earth was about 6,000 years old. since then what has happened to scientists of the earths age?

A. scientists now beleive the earth is much younger.
B. scientists are now less sure of the earths age
C. scientsts now believe the earth is much older
D. scientists agree with the estimate from 1650

Answers

C is the correct answer to your question.
The answer is c scientists now believe the earth is much older
 

The process of estimating values between measured data points is called

Answers

the answer to this question is interpolation
Interpolation is often required in a certain research in order to estimate the value of a certain function for an intermediate value of the independent variable.in order to ensure the validity of the data and the results made during the experiment.

Answer:

The process of estimating values between measured data points is called. interpolation.

Explanation:

On his fishing trip Justin rides in a boat 12 km south The fish aren’t biting so they go 4 km west. They then follow a school of fish 1 km north. What distance did they cover? What was their displacement?

Answers

In finding the distance that covers we simply add the three km which is 
12 + 4 + 1 = 17km

17 km is the distance they cover.

We are going to use the displacement formula which is
d = vt + 1/2 at^2
d = 11.7 km

11.7 is the displacement

The distance is 17 km

The displacement of the boat is about 12 km at 70° S of W

[tex]\texttt{ }[/tex]

Further explanation

Vector is quantity that has magnitude and direction.

One example of a vector is displacement.

Let us now tackle the problem !

[tex]\texttt{ }[/tex]

This problem is about Vector Diagram.

On his fishing trip Justin rides in a boat 12 km south.

[tex]d_1 = -12 \widehat{j}[/tex]

[tex]\texttt{ }[/tex]

The fish aren’t biting so they go 4 km west.

[tex]d_2 = -4 \widehat{i}[/tex]

[tex]\texttt{ }[/tex]

They then follow a school of fish 1 km north.

[tex]d_3 = 1 \widehat{j}[/tex]

[tex]\texttt{ }[/tex]

[tex]\texttt{Total Distance} = 12 + 4 + 1 = 17 \texttt{ km}[/tex]

[tex]\texttt{ }[/tex]

[tex]d = d_1 + d_2 + d_3[/tex]

[tex]d = -12 \widehat{j} - 4 \widehat{i} + 1 \widehat{j}[/tex]

[tex]d = -4 \widehat{i} - 11 \widehat{j}[/tex]

[tex]\texttt{Total Displacement} = \sqrt{4^2 + 11^2} = \sqrt{137} \approx 12 \texttt{ km}[/tex]

[tex]\texttt{Direction of Displacement} = \theta = \tan^{-1} \frac{11}{4} \approx 70^o \texttt{ south of west}[/tex]

[tex]\texttt{ }[/tex]

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[tex]\texttt{ }[/tex]

Answer details

Grade: High School

Subject: Physics

Chapter: Vectors

[tex]\texttt{ }[/tex]

Keywords: Local , Race , Driver , Road , Finish , Line , Displacement , Vector , Degree , North , West , South , Kilometres

7 km is equal to:

0.7 m
70 m
700 m
7,000 m

Answers

The answer is 7000 meters.
Salutations!

You need to keep the following in mind:

→ [tex]1km = 1000m[/tex]

so >>> [tex]7*1000=7000m[/tex]

Hope I helped (:

Have a great day!

What is the distance from the earth and the sun? Please explain

Answers

The distance is 92.96 million miles. This is called an astronomical unit (AU), which is used to measure distance in the solar system.
Here is your answer:

Based on what scientists research the the Earth and the sun is
=148.56miles

Because of technology scientist were able to find the exact distance of the Earth and the Sun.

:))))

The refractive index of medium A is 1.54 and that of medium B is 2.12. Which statement is correct about this information?

Answers

the statement that is correct about this information is a ray of light passing from medium A to B will bend toward the normal.

Answer:

A ray of light passing from medium A to B will bend toward the normal.

Explanation: Plato user

A solar powered car converts _______________ energy into _________________ energy. A) light, chemical B) light, mechanical C) mechanical, light Eliminate D) electrical, mechanical

Answers

the answer is B) because solar energy comes from the sun and then you need it to change to mechanical to run your car 

A solar-powered car converts light energy into mechanical energy. Therefore, option (B) is correct.

What is a solar-powered car?

A solar car is a vehicle running on electricity produced by the conversion of sunlight into useful energy. Solar cars are a combination of aerodynamics, laws of motion, and clean converted energy.

Solar panels help in the conversion of solar power into usable electricity that is stored in batteries. These batteries are used as the fuel which we need to run the vehicles.

A solar car only depends on the photovoltaic cells to absorb the sunlight and transform it into usable energy to power the engine. Photovoltaic cells are based on the principle of solar thermal energy by converting solar energy instead of thermal conversion, directly to usable electricity.

Solar cars have solar panels to be mounted on the surfaces absorbing maximum sun rays, which are generally on the rooftop. The photovoltaic cells comprise Silicon, Galium, Indium, and Nitrogen gas.

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A car traveling in a straight line at an initial speed of 8.0 meters per second accelerates uniformly to a speed of 14 meters per second over a distance of 44 meters. What is the magnitude of the acceleration of the car?

Answers

The equation we can use here is:

v^2 = v0^2 + 2 a d

where v is final velocity, v0 is intial velocity, a is acceleration and d is distance

 

14^2 = 8^2 + 2 a (44)

a = 1.5 m/s^2

The acceleration of the car travelling in a straight line is [tex]\fbox{\begin\\1.5\,{{\text{m}}\mathord{\left/{\vphantom{{\text{m}}{{{\text{s}}^{\text{2}}}}}}\right.\kern-\nulldelimiterspace}{{{\text{s}}^{\text{2}}}}}\end{minispace}}[/tex].

Further Explanation:

A car travelling in a straight line with a constant uniform acceleration will always follow the Newton’s law of motion.

Given:

The initial velocity of the car is [tex]8\,{{\text{m}}\mathord{\left/{\vphantom{{\text{m}}{\text{s}}}}\right.\kern-\nulldelimiterspace}{\text{s}}}[/tex].

The final velocity of the car is [tex]14\,{{\text{m}}\mathord{\left/{\vphantom{{\text{m}}{\text{s}}}}\right.\kern-\nulldelimiterspace}{\text{s}}}[/tex].

The total distance covered by the car is [tex]44\,{\text{m}}[/tex].

Concept:

The car is following the Newton’s law of motion. As per the Newton's laws of motion, the motion of a body is governed by the three equations of motion.

To calculate the uniform acceleration of car when initial velocity, final velocity, and distance covered by car given, the equation of motion we can use here is:

[tex]\fbox{\begin\\v^2 = {u^2} + 2as\end{minispace}}[/tex]

Rearrange the above equation for value of acceleration :

[tex]a=\dfrac{{{v^2}-{u^2}}}{{2s}}[/tex]

Here, [tex]s[/tex] is the distance covered by car, [tex]u[/tex] is the given initial velocity of the car, [tex]v[/tex] is the given final velocity of the car and [tex]a[/tex] is the acceleration of the car.

Substitute [tex]14\,{{\text{m}} \mathord{\left/ {\vphantom {{\text{m}} {\text{s}}}} \right. \kern-\nulldelimiterspace} {\text{s}}}[/tex] for [tex]v[/tex], [tex]8\,{{\text{m}} \mathord{\left/ {\vphantom {{\text{m}} {\text{s}}}} \right. \kern-\nulldelimiterspace} {\text{s}}}[/tex] for [tex]u[/tex] and [tex]44\,{\text{m}}[/tex] for [tex]s[/tex] in the above equation.

[tex]\begin{aligned}a&=\dfrac{{{{\left({14\,{{\text{m}}\mathord{\left/{\vphantom{{\text{m}}{\text{s}}}}\right.\kern-\nulldelimiterspace}{\text{s}}}}\right)}^2}-{{\left({8\,{{\text{m}}\mathord{\left/{\vphantom{{\text{m}}{\text{s}}}}\right.\kern-\nulldelimiterspace}{\text{s}}}}\right)}^2}}}{{2\times44}}\\&=1.5\,{{\text{m}}\mathord{\left/{\vphantom{{\text{m}}{{{\text{s}}^{\text{2}}}}}}\right.\kern-\nulldelimiterspace}{{{\text{s}}^{\text{2}}}}}\\\end{aligned}[/tex]

Thus, the acceleration of the car travelling in a straight line is [tex]\fbox{\begin\\1.5\,{{\text{m}}\mathord{\left/{\vphantom{{\text{m}}{{{\text{s}}^{\text{2}}}}}}\right.\kern-\nulldelimiterspace}{{{\text{s}}^{\text{2}}}}}\end{minispace}}[/tex].

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Answer Details:

Grade: High School

Subject: Physics

Chapter: Kinematics

Keywords:

Initial speed of 8.0 m/s,Newton's law, motion, distance, final speed of 14.0 m/s, car travelling in a straight line, accelerates uniformly and distance of 44 m.

The table shows data for the planet Uranus.

To the nearest whole number, how much would a 25.0 kg rock weigh on Uranus?

170 N
218 N
430 N
532 N

Answers

Answer:

weight of the rock on Uranus is 218 Newton.

Explanation:

Weight of the object is given by,

Weight = mass × gravitational acceleration

For Uranus,

gravitational acceleration = 8.7 [tex]\frac{m}{s^{2} }[/tex]

thus,

Weight of rock on Uranus is,

Weight = mass × gravitational acceleration

Weight = 25 × 8.7

Weight = 217.5 Newton

Thus, weight of the rock on Uranus is 218 Newton.

Answer:

B

Explanation:

Edge 2021

Select three standard units of the metric system.
centimeter
meter
liter
cubic
centimeter
gram
kilogram

Answers

centimeter, meter, liter

Answer:

Meter

Liter

Kilogram

What is the value of work done on an object when a 10–newton force moves it 30 meters and the angle between the force and the displacement is 25°?


Answers

The component of force which is parallel to the path of the motion is 10N * cos25 = 9.06 N 
This component is the only "effective" force, and it is the one doing work. 

Work = force * distance

Work = 9.06 N * 30 m

Work = 2.7×10^2 J

Answer:

2.7×10^2 Joules

Explanation:

Why are all tides greatest at the time of a full moon or new moon?

Answers

Great question. Tides are caused by tidal forces, and the answer to your question lies in the definition of a tidal force. A tidal force is related to gravity, but it isnt the same thing. Its really the difference between the strength of gravity at two locations.

How much work is required to move a box 5 meters across the floor with a force of 15N?

20 J
25 J
75 J
100 J

Answers

75 J. All I did was multiply the 2 numbers to get 75

A passenger with a mass of 140,000 kg flies at a constant velocity of 220 m/s at an altitude of 11,000 meters. What net force acts on the plane?

Answers

Final answer:

According to Newton's first and second laws of motion, since the plane is flying at a constant velocity without acceleration, the net force acting on the plane is zero.

Explanation:

The question refers to a concept in Physics known as Newton's first law of motion, commonly referred to as the 'law of inertia'. According to this law, an object in motion tends to stay in motion with the same speed and in the same direction unless acted upon by an unbalanced force. The question states that the plane is experiencing constant velocity, indicating there is no acceleration. According to Newton's second law (F = ma), where F is force, m is mass, and a is acceleration, if there is no acceleration (a = 0), there will be no net force acting upon the object. Regardless of the plane's mass or its velocity, due to the absence of acceleration, the net force acting on the plane will be zero.

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Final answer:

The net force acting on a passenger plane with a mass of 140,000 kg flying at a constant velocity of 220 m/s and an altitude of 11,000 meters is zero, due to the forces being balanced as per Newton's first law of motion.

Explanation:

A passenger plane with a mass of 140,000 kg flies at a constant velocity of 220 m/s at an altitude of 11,000 meters. The net force acting on the plane is zero. This is because when an object is moving with a constant velocity, it means that there is no net acceleration.

According to Newton's first law of motion, if an object is moving at a constant velocity, the forces acting on the body must be balanced, resulting in no net force acting on the object. In the context of an airplane flying at a constant velocity and altitude, the thrust produced by the engines must be equal to the sum of all drag forces and the gravitational pull, creating a balanced force scenario where the net force equals zero.

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Ryan and Becca are moving a folding table out of the sunlight. A cup of lemonade, with the message 0.44 kg is on the table. Becca lifts her end of the table before Ryan does, as a result, the table makes an angle of 150.0° with the horizontal. Find the components of the cups weight that are parallel and perpendicular to the plane of the table

Answers

Calculate the weight of the table through the equation,

   W = mg

where W is the weight, m is the mass, and g is the acceleration due to gravity. Substituting the known values,
   W = (0.44 kg)(9.8 m/s²) 
   W = 4.312 N

The components of this weight can be calculated through the equation,

   Wx = W(sin θ) 

and Wy = W(cos θ)

x - component:
   Wx = W(sin θ)
Substituting,
  Wx = (4.312 N)(sin 150°) = 2.156 N

  Wy = (4.312 N)(cos 150°) = -3.734 N
Final answer:

The components of the cup's weight that are parallel and perpendicular to the plane of the table can be found using trigonometry.

Explanation:

The magnitude of the component of the weight parallel to the slope is w|| = w*sin(25°) = mg*sin(25°), and the magnitude of the component of the weight perpendicular to the slope is w1 = w*cos(25°) = mg*cos(25°).

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A 25 n box is pulled across a frictionless surface by an applied force of 22 n. the coefficient of kinetic friction between the box and the surface is 0.3. find the acceleration of the box. use g = 10 m/s2 .

Answers

Final answer:

The acceleration of the box is -2.12 m/s^2.

Explanation:

To find the acceleration of the box, we need to calculate the net force acting on it. The net force is the difference between the applied force and the force of kinetic friction. The force of kinetic friction can be calculated by multiplying the coefficient of kinetic friction by the normal force, which is the weight of the box. The weight of the box is mass multiplied by the acceleration due to gravity. With this information, we can plug in the given values and calculate the acceleration.



Calculate the weight of the box. Weight = mass x acceleration due to gravity. Given that the mass of the box is 25 N, and acceleration due to gravity is 10 m/s2, the weight of the box is 25 N x 10 m/s2 = 250 N.Calculate the force of kinetic friction. Force of kinetic friction = coefficient of kinetic friction x weight of the box. Given that the coefficient of kinetic friction is 0.3 and the weight of the box is 250 N, the force of kinetic friction is 0.3 x 250 N = 75 N.Calculate the net force. Net force = applied force - force of kinetic friction. Given that the applied force is 22 N and the force of kinetic friction is 75 N, the net force is 22 N - 75 N = -53 N (negative because the force of kinetic friction opposes the motion).Calculate the acceleration. Acceleration = net force / mass. Given that the net force is -53 N and the mass is 25 N, the acceleration is -53 N / 25 N = -2.12 m/s2. Since the acceleration is negative, it means that the box is slowing down.

Therefore, the acceleration of the box is -2.12 m/s2.

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Final answer:

To find the acceleration of the box, you subtract the frictional force from the applied force, then divide by the box's mass. In this case, the acceleration is found to be 5.8 m/s².

Explanation:

To find the acceleration of the box, we need to apply Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. In this case, the net force is the applied force minus the force of friction. Given the normal force (created by the box's weight) is 25 N, the force of friction would be the coefficient of kinetic friction (0.3) multiplied by the normal force. That equals 0.3 * 25 = 7.5N.

Then, the net force is the applied force (22 N) minus this frictional force: 22 - 7.5 = 14.5 N. Since force equals mass times acceleration (F = ma), you can find the acceleration (a) by dividing the net force by the mass. Remember that the mass should be calculated by dividing the weight by gravitational acceleration (m = N/g). The mass is 2.5 kg. Therefore, the acceleration (a) would be F/m = 14.5 N divided by 2.5 kg= 5.8 m/s².

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