calculate the work, w, gained or lost by the system when a gas expands from 15 l to 35 l against a constant external pressure of 1.5 atm. (1 l·atm = 101.325 j)

For a rectangular prism, the expression volume is calculated as V = l ⋅ w ⋅ h , where l is the length, w is the width, and h is the height of the rectangular prism.

It is much simpler to calculate the surface area and volume of a rectangular prism once it is understood that this type of prism is composed of some sets of identical forms.

The volume of a rectangular prism may be calculated by multiplying its length by its breadth by its height. The surface area of a rectangular prism can be calculated by adding the areas of each of its sides.

If you are familiar with the formulas for the surface area and volume of a rectangular prism, it will be much simpler for you to deal with different geometric shapes.

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A single raindrop illuminated by sunshine disperses the white light into seven colors spectrum.

A white sunlight consists of seven different color components. These color components have different wavelength. The speed of different components is different when they passes through an optically denser medium(e.g.: prism). So each color component gets bent by a certain amount thus causing dispersion.

A raindrop acts like a prism for the sunshine. When a light ray passes through a rain drop, it splits into seven color component which is known as the dispersion of light.  

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Average speed = total distance covered/ total time taken

here on the graph y-axis is represented as distance and x-axis is showing time

So for the average speed of Train (line A)

total distance covered (d) = 1500 m

total time taken to reach that distance (t) = 150 s

so by a simple formula

For the average speed of  Car (line B)

Total distance covered (d) = 1500 m

total time taken to reach that distance (t) = 120 s

so by

For Maximum speed of roller- coaster (LineC)

So in the time between 70-80 seconds, it has the highest slop which shows the speed maximum at that time

In that 10 seconds, it covered 200 meters which shows its maximum speed which is

For the average speed of a Roller- coaster (line C)

Total distance covered (d) = 1300 m

total time taken to reach that distance (t) = 150 s

For the Train to Stoped at a station we can see from 40 seconds to 90 Seconds train has covered almost 0 distance which clearly shows that it was stopped which is 90-40= 50 seconds.

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At the base of the cliff, a boulder falls into the water, transferring all of its kinetic energy to the ocean. The cliff must be 14.6 meters high.

Kinetic energy, which may be seen in the movement of an item or subatomic particle, has been the energy of motion. Example of angular momentum in action include a person walking, a baseball soaring through the air, a piece of food falling from a table, and a chargeable particle inside of an electric field.

mass of rock m_r = 3.0Kg

mass of water is m_w = 1.0Kg

temperature variation ΔT= 0.10°C

heat of water C_W = 4186 J/Kg °C

gravity g=9.8 m/sec^2

the expression for height,

mrgh = K

h = K/(mrg)

Evaluating numerically.

h = K / (mr g)

h = (418.6 J)/(3.2Kg⋅9.8 m/sec^2 )

h = 14.6 m

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Mutations may alter the structure of a protein, may be neutral, may be dangerous, or may be advantageous.

A mutation is a change to an organism's DNA sequence. Viral infection, mistakes in DNA replication during cell division, and exposure to mutagens can all lead to mutations. Gametes experience germline mutations. Other bodily cells are susceptible to somatic mutations. Chromosome alterations are mutations that change the structure of a chromosome. A single nucleotide is altered by point mutations. Depending on the situation or place, the impacts of mutation could be beneficial, negative, or neutral. The majority of non-neutral mutations are harmful. The impact and likelihood that a mutation will occur increase with each extra base pair that it modifies.

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The Kinetic energy will be 19663 J that is approximately 2.0 × 10³ J option B.

An object or particle has kinetic energy because of its motion. When an item undergoes work—the transfer of energy—by being subjected to a net force, it accelerates and acquires kinetic energy. It's SI unit is Joules.

Given, mass of the car, m = 1400 kg

velocity of the car= 5.3 m/s

by applying the formula ,Kinetic Energy = 1/2×mass×velocity²

K.E. = 1/2×1400×(5.3)²

K.E = 700×28.09

K.E. =  19663 J ≈ 2.0 × 10³ J

The Kinetic energy will be 19663 J that is approximately 2.0 × 10³ J.

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The change in speed of the hockey pack is 10m/s.

Speed refers to the rate of motion or action, specifically the magnitude of the velocity; the rate distance is traversed in a given time.

The speed of an object can be calculated using the following formula:

F = m × (v/t)

where;

According to this question, a hockey puck (0.50 kg) is in contact with the stick for 0.2 seconds. If the force on the hockey puck is 25 N, the speed can be calculated as follows:

25 = 0.5 × (v/0.2)

25 = 2.5v

v = 10m/s

Therefore, 10m/s is the change in the speed of the hockey pack.

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Answer:

1. Net force= 6 N to left

2. Unbalanced

3. Both people must apply same magnitude of forces in opposite direction which causes net force to be 0.

Explanation:

Since both forces have opposite direction then we have to subtract the magnitude and consider the direction of vector that has greatest magnitude. In this case, the left side (13N) has more magnitude than the right side (7N). Hence:

[tex] \displaystyle{ \sum \vec F = 13 \: \text{N}- 7\: \text{N}= 6 \: \text{N to left}}[/tex]

The vector arrow of net force will point to left side with magnitude of 6 N.

Since the net force is not zero. This means that the force is not balanced as an object still changes its motion from resting to moving. A balanced force would mean the net force is zero and an object will always remain as same condition. This can be referred to first Newton's law of motion.

We can make the force balanced by having both people acting same magnitude of force in opposite direction. The equation must result in:

[tex] \displaystyle{ \left | \vec F \right | = \left| - \vec F \right| }[/tex]

Magnitude of forces must equal for both sides and also have to act in opposite direction which causes net force to be zero:

[tex] \displaystyle{ \sum \vec F = 0}[/tex]

The force applied to the car of mass 1560 kg is 1365 N.

Force is the product of mass and acceleration.

To calculate the force applied to the car, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the force applied is 1365 N.

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According to the given statement 2.5 m/s is the final velocity of the truck.

Velocity is the pace and path of an item's movement, whereas speed is really the time rate that a object is travelling along a route. In other words, velocity is a vector, whereas speed is a scalar number. as the pace of a car driving south on a highway or the pace at which a rocket takes off.

Collision energy equals collision energy before collision

Afterward, we would have;

(400 * 20) + (50 * 2) = (50 * 142) + (400 * v)

8000 + 100 = 7100 + 400v

8100 - 7100 = 400v

v = 1000/400

v = 2.5 m/s

According to our estimation, the velocity is 2.5 m/s.

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According to the given statement 2.5 m/s is the final velocity of the truck.

Velocity is the pace and path of an item's movement, whereas speed is really the time rate that a object is travelling along a route. In other words, velocity is a vector, whereas speed is a scalar number. as the pace of a car driving south on a highway or the pace at which a rocket takes off.

Collision energy equals collision energy before collision

Afterward, we would have;

(400 * 20) + (50 * 2) = (50 * 142) + (400 * v)

8000 + 100 = 7100 + 400v

8100 - 7100 = 400v

v = 1000/400

v = 2.5 m/s

According to our estimation, the velocity is 2.5 m/s.

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A parcel is traveling on a horizontal conveyer belt moving at 1 meter/second. At the end of the conveyor belt, the parcel lands on a tray after 1 second. The horizontal distance is 1 meters and vertical distance of the tray from the end of the conveyor belt is 4.9 meters.

The conveyer belt's horizontal speed is 1 m/s.

The parcel settles on a tray at the end of the conveyor belt after 1 second. Finding the tray's horizontal and vertical distance from the conveyor belt's end is necessary.

D = v x t for horizontal distance

D= 1x1

d = 1 meter

Utilize the second equation of motion as follows for vertical distance:

s= ut+1/2gt²

Initially  vertical velocity is zero

s= ut+1/2gt²

s = 0+1/2 9.8 x(1)²

S=4.9 meters.

Therefore, the tray is 1 meters and 4.9 meters away from the end of the conveyor belt, respectively, in both the horizontal and vertical directions.

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The speed of the ball that the ball player throw is 16.66 m/s.

The ball player throws a ball vertically upward and then catches the ball. It means, the ball doing vertical motion travel upward to the highest point and then goes down until the ball player catches it. The trajectory of the ball as it goes up is symmetrical to the trajectory of the ball as it goes down.

travel time = travel time upward + travel time downward

t = t₁ + t₂

3.40 = t₁ + t₁

3.40 = 2t₁

t₁ = 3.40 ÷ 2

t₁ = 1.70 s

When the ball travels upward, non-uniform motion applies

v₂ = v₁ + at

v₂ = v₁ + at₁

0 = v₁ + (- 9.8 × 1.70)

0 = v₁ - 16.66

v₁ = 16.66 m/s

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Answer: The force between the two asteroids is 2.25 x 10^-5 N. ✅

PLEASEEEE GIVE BRANLIEST

Explanation:

The force between two objects in space can be calculated using the formula:

F = G * (m1 * m2) / r^2

Where:

F = force between the two objects

G = gravitational constant (6.67 x 10^-11 Nm^2/kg^2)

m1 = mass of object 1

m2 = mass of object 2

r = distance between the two objects

So, in this case:

F = 6.67 x 10^-11 Nm^2/kg^2 * (34000 kg * 15000 kg) / (67000 m)^2

To calculate the force between the two asteroids, we need to substitute the values for m1, m2, and r into the formula.

F = 6.67 x 10^-11 Nm^2/kg^2 * (34000 kg * 15000 kg) / (67000 m)^2

F = (2.25 x 10^-5 N)

So the force between the two asteroids is 2.25 x 10^-5 N.

Velocity is a physical vector quantity that is defined by magnitude and direction. A coherent derived unit called speed is used to indicate the magnitude or absolute value (scalar) of velocity. In the SI, its value is represented in meters per second (m/s or m/s1) (metric system).

When an object is traveling, its velocity is the direction it is travelling in to indicate how quickly the object's location is changing as seen from a particular point of view and as measured by a certain unit of time, such as 60 km/h in a northerly direction. The idea of velocity serves as a key building component in kinematics, the branch of classical mechanics that analyzes how bodies move.

The velocity of a wave can be calculated using the wavelength (λ) and frequency (f) of the wave using the formula:

Velocity = wavelength x frequency

For the tsunami wave:

Velocity = 160,000 m x .0014 Hz = 224 m/s

For the wind-driven wave:

Velocity = 150 m x 0.083 Hz = 12.45 m/s

So the velocity of the tsunami wave is 224 m/s and the velocity of the wind-driven wave is 12.45 m/s.

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The image of your face will be located 66.5 cm behind the front surface of the Christmas tree ball.

Surface is the outer layer of a physical object, such as a planet or a star. It is also the top layer of an object, such as the ground or a body of water. Surface can refer to the interface between two objects, such as the atmosphere and the ocean, or the interface between two materials, such as the air and the ground. The term can also refer to the top layer of a material, such as the skin of a human or the bark of a tree. In some cases, surface can refer to the way a material or object looks or feels, such as the smoothness of a rock or the texture of a fabric.

This is because of the principles of spherical mirrors; the image is located twice the distance behind the mirror as the object is in front of it. Therefore, the distance between your face and the image of your face is 58.0 cm (29.0 cm + 66.5 cm). The answer is expressed to two significant figures, and the appropriate units are included.

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Answer:

A variable amount of current travels through each parallel branch of the circuit in a parallel circuit. Each component in a series circuit has a separate voltage across it. The same voltage is present across all of the circuit's components in a parallel circuit, though.

Explanation:

The kinetic energy possesed by a 1000kg go-cart that is moving at a constant speed of 23 m/s is 264,500J.

Kinetic energy is the energy possessed by an object because of its motion, equal (nonrelativistically) to one half the mass of the body times the square of its speed.

Kinetic energy of a body can be calculated using the following formula;

K.E = ½mv²

According to this question, a 1000kg go-cart is moving at a constant speed of 23m/s. The kinetic energy of the cart can be calculated as follows:

K.E. = ½ × 1000 × 23²

K.E. = 500 × 529

K.E. = 264,500J

Therefore, 264,500J is the kinetic energy of the go-cart.

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The books' final speed is 4 m/s, their rate of acceleration is 0.8 m/s2, and their net force is 3.2 m/s2.

The vectorial expression of velocity is the movement in space-time of an object or particle. The recognised unit of velocity magnitude is the metre per second (m/s) (also known as speed). The rate of speed can also be expressed in centimetres per second (cm/s). The pace at which an object's location changes as seen from a certain angle and as stated by a specific time unit (for example, 60 km/h northbound) is measured by its velocity, which is the direction in which it is travelling.

As a physical vector quantity, velocity must have a specified magnitude and direction. Speed is a coherent derived unit whose quantity is measured in metres per second (m/s or ms1) in the SI. Speed is the scalar absolute value (magnitude) of velocity (metric system). A vector is "5 metres per second east."

= ∆/∆

v=20/5 v=4

Therefore the final velocity of the book is 4m/s.

Acceleration= v/t

=4/5

=0.8m/s2

Thus acceleration of book is 0.8m/s2

F=0.8*4

F=3.2m/s2

Net force is 3.2m/s2

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Due to the significant temperature gradient, jet streams are connected to fronts.

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The rise in the water's temperature, given that 18200 joules was transferred to the 100.0 g of water is 43.5 °C

Heat transferred I related to temperature rise by the following formula:

Q = MCΔT

Where

With the above formula, we can determine the temperature rise as illustrated below.

The following data were obtained from the question:

Q = MCΔT

18200 = 100 × 4.184 × ΔT

18200 = 418.4 × ΔT

Divide both sides by 418.4

ΔT = 18200 / 418.4

ΔT = 43.5 °C

Thus, we can conclude from the above calculation that the temperature rise of the water is 43.5 °C

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The time taken for the car to decelerate is 4.5 seconds.

option B.

The acceleration of the car is calculated from Newton's second law of motion as follows;

F = ma

a = F / m

a = ( 7500 ) / ( 2250 )

a = 3.33 m/s²

The time taken for the car to slow down is calculated as follows;

v = u + at

at = v - u

t = ( v - u ) / a

where;

t = ( 20 - 5 ) / 3.33

t = 4.5 seconds

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After a period, they start to collide with other galaxies, which causes them to become irregular galaxies. They eventually transform into ancient elliptical galaxies after exhausting all of their dust and gas to form new stars.

It is possible to think of irregular galaxies as star formation research labs. In contrast to the more well-known spiral galaxies, this kind of galaxy produces stars from an interstellar medium that has undergone less chemical evolution.

Typically, irregular galaxies are tiny, with a mass of only a tenth that of the Milky Way galaxy. They are vulnerable to environmental influences like colliding with massive galaxies and cosmic clouds because of their modest sizes.

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The formula for magnetic field is  B = μo(H + M).

The magnetic field of a magnet is the area around it in which a magnetic force is exerted. It is represented by the symbol B and follows the equation B = μo(H + M).

Here, μo is the permeability of free space, H is the magnetic field intensity and M is the magnetization.

The magnetic field can be measured by a variety of instruments such as a Hall probe or a flux meter. It can also be calculated using mathematical models such as the Biot-Savart law or Ampère's law.

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The kinematic equation of motion used to find the time, velocity, and acceleration of the motion in the questions are as follows;

8. The time it takes the runner to get to full speed is 5 seconds

9. The acceleration is 166.[tex]\overline{6}[/tex] m/s²

10. The initial velocity is 550 m/s

11. It takes the sketer 8 seconds

12. The acceleration of the fan is -6·π rad/s²

13. The speed with which the zebra hits the ground is 98 m/s

14. The acceleration of the school bus is -100 m/s²

15. 5 seconds ago the velocity of the jet was 4250 m/s

The kinematic equations of motion are;

v = u + a·t

s = u·t + (1/2)·a·t²

v = u + 2·a·s

Where;

v = The final velocity

u = The initial velocity

s = The distance

t = The time of the motion

a = The acceleration

8. The runner's rate of acceleration = 2 m/s²

The runner's top speed = 10 m/s

The required kinematic equation is; t = (v - u)/a

Where;

t = The time duration

a = The acceleration = 2 m/s²

v = The final velocity = The runner's top speed = 10 m/s

u = The initial velocity of the motion = 0 (assumption that the runner starts from rest)

Therefore;

t = (10 - 0)/2 = 5

9. The speed of the bullet when it hits the bystander, v = 250m/s

The time at which the bullet was shot out of the high powered rifle, t = 1.5 seconds

The initial velocity of the bullet, u = 0m/s (The bullet is initially at rest in the gun)

The acceleration, a = (v - u)/t

Acceleration = (250 - 0)/1.5 = 166.[tex]\overline{6}[/tex]

10. The acceleration of the person as he falls, a = 10 m/s²

The speed at which the person was travelling as he hits the ground, v = 600 m/s

Time after which the person hits the ground, t = 5 seconds

v = u + a·t
u = v - a·t

Therefore; u = 600 - 10 × 5 = 550

11. The acceleration rate, a = 2 m/s²

Initial velocity, u = -6m/s

Final velocity, v = 10m/s

t = (10 - (-6))/2 = 8

12. The initial angular velocity of the fan, ω₁ = 9 rev/sec

1 rev = 2·π rad, therefore;

ω₁ = 2·π × 9 rad/s = 18·π rad/s

The time after which the fan stops, Δt = 3 seconds

The final angular velocity of the fan, ω₂ = 0

The angular acceleration of the fan, α = (ω₂ - ω₁)/Δt

Therefore; α = (0 - 18·π)/3 = -6·π

13. The time it takes the zebra to hit the ground = 10 seconds

The acceleration due to gravity, g = 9.8 m/s²

The initial velocity of the zebra, u = 0 m/s

Therefore;

The velocity with which the zebra hits the ground, v = 9.8 × 10 = 98

The zebra hits the ground moving at 98 m/s

14. Initial speed of the school bus, u = 50 m/s

The time it takes the school bus to come to rest = 0.5 seconds

The acceleration. a = (0 m/s - 50 m/s)/(0.5 s)) = -100 m/s²

15. The acceleration of the jet = 150 m/s²

Current velocity of the jet = 5000 m/s

The initial speed of the jet, u, 5 seconds ago is therefore;

u = 5000 - 150 × 5 = 4250

The initial speed of the jet 5 seconds ago is 4250 m/s

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It is also commonly abbreviated as ms−2. For example, if the velocity of a particle moving in a straight line changes uniformly (at a constant rate of change) from 2 m/s to 5 m/s over one second, then its constant acceleration is 3 m/s2.

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Elements are arranged in the periodic table based on various patterns. For example,  the element magnesium (Mg) A. has a higher atomic mass than the element sodium (Na). Option C is correct.

The known elements are arranged in the periodic table in increasing atomic number order and repeating chemical properties.

They are arranged in a tabular fashion, with each row denoting a certain era and each column denoting a particular group.

The elements are arranged in ascending atomic number sequence from top to bottom and left to right.

Elements belonging to the same group will have similar chemical properties because they will have the same valence electron configuration.

The periodic table's arrangement of elements follows a number of different patterns. For instance, sodium (Na) and magnesium (Mg) both have higher atomic masses (Na).

As a result, choice C is accurate.

Your question is incomplete but most probably your full question was Elements are arranged in the periodic table based on various patterns. For example, the element magnesium (Mg) has

a. a higher atomic mass than the element calcium (Ca).

b. has a lower atomic mass than the element beryllium (Be).

c. has a higher atomic mass than the element sodium (Na).

d. all of these

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The digestive organ that the majority of lipid digestion and absorption occur is the small intestine.

The small intestine is a part of the digestive system that is made up of the duodenum, jejunum, and ileum. It is the part of the digestive system that will follow the stomach.

This part of the intestine will be in charge mainly of the digestion of lipids, this process will begin in the mouth and in the stomach but then the digestion will take place in the small intestine with the help of lipase enzymes which will break the lipid molecules. After this process happens, the absorption of the lipids that will travel through circulation and go throughout the body will take place.

Therefore, we can confirm that the digestive organ that the majority of lipid digestion and absorption occur is the small intestine.

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Answer:

Explanation

one is a galaxy and one is a Star.

The required work was done by the workman is 432 J.

Work is the energy exerted by an object as it applies a force to move another object over some distance. For a given amount of force, F, and a given distance, d, the work done on an object is given by the formula W=F⋅d .

We have,

Weight = Force due to gravity = -45j N

Total displacement = 22i + 9.6j Meter

Now,

Work done by gravity = -F.d = Work done by man

W = -45j(22i + 9.6j ) J

W =  -45( 9.6) = -432 J

Thus, work done by man is 432 J

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Answer:

An experiment to investigate the relationship between efficiency and load using a block and tackle pulley system could be set up as follows:

1.Set up a block and tackle pulley system, with a fixed pulley at the top and a movable pulley at the bottom. The pulleys should be mounted on a sturdy frame, and the rope should be of a known length and thickness.

2.Attach a weight to one end of the rope, and a load cell to the other end. The load cell will measure the force applied to the rope.

3.Record the weight of the load and the force applied to the rope using the load cell.

4.Measure the distance the load is raised, and record this distance.

5.Repeat steps 3 and 4 for different loads, increasing the weight of the load in increments of, for example, 5 kg.

6.Calculate the efficiency of the pulley system for each load by dividing the work output by the work input and multiplying by 100. The efficiency of the system can be calculated as follows: Efficiency = (Work out / Work in) * 100.

7.Plot a graph of efficiency against load, and observe the relationship between the two variables.

8.Repeat the experiment with different pulley systems, such as a single pulley system and a double pulley system and compare the results.

9.Record the results and any observations and Analyze the data and make conclusions about the relationship between efficiency and load in a block and tackle pulley system.