If a system has 71.0 j of heat added to it, and the system does 25.0 j of work on its surroundings, what is the change in the internal energy of the system, in j?

Answers

Answer 1

The change in the internal energy of the system is 96 j.

What is internal energy ?

The change in the internal energy of the system is given by

              Δ U = Q + W

Q = 71.0 j

W = 25.0j

Δ U = Q + W

Δ U = 71 +25

Δ U = 96 j

The system's kinetic energy and potential energy together make up the system's internal energy. When a reaction is conducted at a constant pressure, the internal energy change (U) of the reaction is equal to the heat acquired or lost (enthalpy change).

A thermodynamic system's internal energy is its total internal energy. It is the energy required to build or prepare the system in the internal state that it is in at the time.

In thermodynamics, internal energy is a quantity or state function that characterizes a substance's energy when capillary effects and other external fields, such as electric and magnetic forces, are absent.

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Related Questions

PLEASE HELP ASAPPPP! I ONLY HAVE 10 MINUTES!

PLEASE HELP ASAPPPP! I ONLY HAVE 10 MINUTES!

Answers

Answer:

4 gamma closest thing to this V

Explanation:

Technetium. Tc is a very versatile radioisotope, and is the most commonly used radioisotope tracer in medicine.

8
Natalie is examining a substance found at a crime scene. Using a chemical test, she is able to determine that cellulose is present in the substance.
What does this mean for the investigation?
OA.
It came from a plant.
B.
It came from an animal.
OC.
It came from an insect.
O D. It came from a human.
Reset
Next

8Natalie is examining a substance found at a crime scene. Using a chemical test, she is able to determine

Answers

B. It came from a plant.


The Sankey diagram below shows the energy transfers in a computer. 100 J of energy are input. It is carried to the computer by
What one word completes the sentence?

Answers

A sentence contains a full stop at the end

a. l1 =20 A and l2 =24 A
B. l1 = 20A and l2 = 12 A
C. l1 = 26 A and l2 = 12 A
D. l1 = 24 A and l2 = 8 A

a. l1 =20 A and l2 =24 AB. l1 = 20A and l2 = 12 AC. l1 = 26 A and l2 = 12 AD. l1 = 24 A and l2 = 8 A

Answers

Answer:

when u find out pls lmk! i have the same question and I've been stuck for a while lol

A little girl jumps up from the ground. What force makes her move up?

Answers

Answer:

Gravity (please mark me as the brainiest)

Explanation:

Gravity is a force caused by a large body, such as the Earth. Gravity pulls objects toward the Earth.

And give me a thanks, or vote

If the Sun were the size of a small exercise ball (about 0.5 meters (m) in
diameter) and if Jupiter were the size of a golf ball, how big would Earth be
on this scale?

Answers

Answer:

the size of a pea

Explanation:

2. Using the solar system data in the
reference table, rank the following
pairs of planets according to the
gravitational force they exert on
each other, from least to greatest.
Specifically indicate any ties.
Mass. Average radius
(kgÅ~1024). (mÅ~106)
Mercury. 0.330. 2.44
Venus 4.87 6.05
Earth 5.97 6.38
Jupiter 1899 71.5
Saturn 569 60.3

A. Mercury and Venus, when
5.0Å~107 km apart

B. Jupiter and Saturn, when
6.6Å~108 km apart

C. Jupiter and Earth, when
6.3Å~108 km apart

D. Mercury and Earth, when
9.2Å~107 km apart

E. Jupiter and Mercury, when
7.2Å~108 km apart

Answers

Answer:

I'm pretty sure the answer would be C.

You kick a soccer ball with a speed of 31 m/s at an angle of 50 degrees. How long does it take the ball to reach the top of its trajectory?

Answers

Answer:

Reaches max height at t = 2.42s.

Explanation:

I've assumed we are neglecting air resistance. If not let me know and I'll update.

We want to examine the behaviour of the ball in the y-direction. In the absence of air resistance the only force acting on the ball is gravity, which produces an acceleration in the negative y direction.

what happens when you throw the ball at some angle other than 90o? does this change the time of flight? explain.

Answers

When you throw a ball at an angle other than 90 degrees (not vertically), it follows a curved trajectory known as a projectile motion. In this scenario, the ball has both horizontal and vertical components of motion.

When you throw a ball at an angle other than 90 degrees (not vertically), it follows a curved trajectory known as a projectile motion. In this scenario, the ball has both horizontal and vertical components of motion. The angle at which the ball is thrown affects its horizontal range, maximum height, and time of flight.

The time of flight refers to the total time the ball remains in the air from the moment it is released until it lands back on the ground. When the ball is thrown at an angle, the time of flight is influenced by the vertical component of motion. However, the horizontal component remains unaffected.

When throwing the ball at an angle, the vertical motion is influenced by the force of gravity. As the ball moves upward, gravity acts against it, gradually decreasing its vertical velocity. At the highest point of the trajectory, the vertical velocity becomes zero, and the ball begins to descend.

Since the vertical motion is influenced by gravity, the time of flight for a thrown ball at an angle other than 90 degrees is increased compared to throwing it vertically upwards. This is because the ball spends more time in the air, taking a longer path to reach the ground.

The increase in time of flight is due to the upward and downward motion of the ball, which is not present when throwing vertically. The horizontal component of motion remains unchanged, as it is not influenced by gravity. Therefore, the range, or the horizontal distance covered by the ball, remains the same for the same initial speed and launch angle.

In summary, when throwing a ball at an angle other than 90 degrees, the time of flight increases due to the upward and downward motion influenced by gravity. The horizontal component of motion remains unaffected, resulting in the same horizontal range as throwing the ball vertically upwards.

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RC circuits
4. A 4.00 MΩ resistor and a 3.00 MΩ capacitor are connected in series with a
12.0V power supply.
a. What is the time constant of the circuit?
b. Express the current in the circuit and the charge on the capacitor as functions of the time

Answers

The time constant of the circuit can be determined from the formula τ = RC. The values given in the question are R = 4.00 MΩ and C = 3.00 µF. Thus, the time constant is given as:τ = RC = (4.00 × 10^6 Ω) × (3.00 × 10^-6 F) = 12 secondsb. The current in the circuit can be found by using Ohm’s law, which states that I = V/R, where V is the voltage across the circuit.

The voltage across the circuit is 12.0 V, so the current is given as:I = V/R = (12.0 V)/(4.00 MΩ) = 3.00 µAThe charge on the capacitor as a function of time can be found using the formula Q = Qmax (1 - e^(-t/τ)), where Qmax is the maximum charge that can be stored by the capacitor. The maximum charge can be found using the formula Qmax = CV, where V is the voltage across the capacitor.

The voltage across the capacitor is the same as the voltage across the circuit, which is 12.0 V. Thus, the maximum charge that can be stored by the capacitor is:Qmax = CV = (3.00 × 10^-6 F) × (12.0 V) = 36 µCThe charge on the capacitor as a function of time is given as:Q = Qmax (1 - e^(-t/τ)) = (36 µC) (1 - e^(-t/12)).

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How do the molecules at point A compare to the molecules at point B? They are farther apart. They have increased in size. They have lost energy. They are moving slower.

Answers

Answer: hello the image is missing but am able to provide you with an answer to your but I am unable to attach the image

They are moving fasterThey are farther apart They have gained energy

Explanation:

Molecules at point A compared to molecules at point B shows that they are

They are moving fasterThey are farther apart They have gained energy

The movement of molecules is caused by the application of energy in various forms especially thermal energy

Answer:

The answer is A!

Explanation:

Got it right on edge 2021 :>

hey pls help with this HDJSJDH im rlly bad at this kinda stuff :,) i'll mark the correct answer brainliest

hey pls help with this HDJSJDH im rlly bad at this kinda stuff :,) i'll mark the correct answer brainliest

Answers

I am pretty sure it’s A
The cue exerts force onto the white ball which pushes the blue ball into the direction of the hole.

Answer:

A. Cue, White Ball, Blue Ball

Explanation:

Visualize in which order things are being hit

Current Attempt in Progress A Makeshift Elevator While exploring an elaborate tunnel system, you and your team get lost and find yourselves at the bottom of 450−m vertical shaft. Suspended from a thick rope (near the floor) is a large rectangular bucket that looks like it had been used to transport tools and debris up and down the tunnel. Mounted on the floor near one of the walls is a gasoline engine (3.4 hp) that turns a pulley and rope, and a sign that reads "Emergency Lift." It is clear that the engine is used to drive the bucket up the shaft. On the wall next to the engine is a sign indicating that a full tank of gas will last exactly 15 minutes when the engine is running at full power. You open the engine's gas tank and estimate that it is 1/4 full, and there are no other sources of gasoline. (a) Assuming zero friction, if you send your team's lightest member (who weighs 125lb ), and the bucket weight 150lb when empty, how far up the shaft will the engine take her (and the bucket)? Will it get her out of the mine? (b) Assuming an effective collective friction (from the pulleys, etc.) of μ
eff

=0.11 (so that F
f

= μ
eff

Mg, where M is the total mass of the bucket plus team member), will the engine (with a 1/4full tank of gas) lift her to the top of the shaft? (Determine what is the maximum height the engine can lift her up.) (a) Number Units (b) Number Units

Answers

If the person and the bucket start at a height of 473 m or more, the engine will be able to lift them to the top. If they start at a height of less than 473 m, the engine will not be able to lift them to the top. The maximum height the engine can lift them to is 150 m + 473 m = 623 m.

a) Assuming zero friction, the bucket will accelerate downwards at 9.8 m/s².

The force on the bucket when it is accelerating upwards (and therefore is being lifted) is equal to the difference between the force of gravity and the force due to the tension in the rope:

buoyant force upward due to tension - gravitational force downward = m x a

where m is the mass and a is the acceleration.

f_t - (m_b + m_p) * g = - (m_b + m_p) * a

where f_t is the tension force, m_b is the mass of the bucket, m_p is the mass of the person, g is the acceleration due to gravity, and a is the acceleration.

f_t = (m_b + m_p) * g - (m_b + m_p) * af_t = (m_b + m_p) * (g - a)

The tension in the rope is the same at the bottom and the top because it is the same rope.

Therefore, the tension at the top equals the force due to gravity.

The maximum force is equal to the force due to gravity when the acceleration is zero.

Therefore, f_t = (m_b + m_p) * g = 1470 * 9.8 = 14406 N

For zero friction, the tension force is greater than the force due to gravity when the person is moving upwards. Therefore, the person and the bucket will reach the top. In order to find out how far they go, use conservation of energy.

Initially, the total energy is m_p * g * h, where h is the height they are lifted.

At the top, the total energy is (m_b + m_p) * g * d, where d is the distance the bucket falls.

Since there is no friction, the total energy is conserved.

m_p * g * h = (m _b + m_p) * g * dh = d * (m_b + m_p) / m_p= 450 * (150 + 125) / 125= 810 m

Therefore, the bucket and the person will reach a height of 810 m above the bottom of the shaft. Yes, the person will get out of the mine.b)

Since there is friction, the tension force is no longer greater than the force due to gravity. In order to lift the person and the bucket, the tension force has to be greater than the sum of the gravitational force and the force due to friction.

f_t - (m_b + m_p) * g - F_f = - (m_b + m_p) * af_t = (m_b + m_p) * (g - a) - F_f

The frictional force is given by F_f = μ_eff * (m_b + m_p) * g,

where μ_eff is the effective coefficient of friction. The acceleration is again found by using conservation of energy. Initially, the total energy is m_p * g * h.

At the top, the total energy is (m_b + m_p) * g * d - F_f * d.

Therefore,

m_p * g * h = (m_b + m_p) * g * d - F_f * dd = (m_p * g * h + μ_eff * (m_b + m_p) * g * d) / ((m_b + m_p) * g)

For the person and bucket to reach the top, the distance they travel has to be at least 450 m.

Therefore, we can solve for the minimum initial height.

h = (m_p * g * 450 + μ_eff * (m_b + m_p) * g * 450 / ((m_b + m_p) * g)= 0.11 * 575 / 1.25 + 450= 473 m

Therefore, if the person and the bucket start at a height of 473 m or more, the engine will be able to lift them to the top. If they start at a height of less than 473 m, the engine will not be able to lift them to the top. The maximum height the engine can lift them to is 150 m + 473 m = 623 m.

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Referring to the information PEI received through March 2010 from the Stop the Static Campaign
reading, what were some other important data points PEI reported?

Answers

Answer:  a new and dynamic data portal that provides an overview of the key design and implementation aspects of economic inclusion programs globally.

Explanation:

plato

Highway safety engineers want to design roadside barriers that will crumple in the event that a car drives off the road and collides with them, slowing down the car more gradually. The average person has a mass of 68 kg and travels on a highway at a velocity of 27 m/s. If the engineers know that the maximum force that a person can safely withstand is 1180 N, approximately how much time is required to crumple the barrier to safely slow the person with this force?​

Answers

It would take 1.556 seconds for the barrier to crumple and safely slow down the person with a force of 1180 N.

To calculate the time required to crumple the barrier and safely slow down the person, we can use the concept of impulse.

The impulse, denoted by J, is defined as the product of force and time, and it represents the change in momentum of an object. In this case, the impulse required to safely slow down the person can be calculated using the maximum force and the person's initial momentum.

The momentum of a person is given by the product of their mass and velocity:

Momentum = mass × velocity

Given that the person's mass is 68 kg and their velocity is 27 m/s, the initial momentum is:

Initial momentum = 68 kg × 27 m/s

To safely slow down the person, the impulse provided by the barrier should be equal to the change in momentum.

Therefore, we have:

Impulse provided by barrier = Final momentum - Initial momentum

Since the person is brought to rest, the final momentum is zero. Thus, we have:

Impulse provided by barrier = -Initial momentum

Now we can express the impulse in terms of force and time:

Impulse provided by barrier = Force × Time

Plugging in the known values, we can solve for time:

-Initial momentum = Force × Time

68 kg × 27 m/s = 1180 N × Time

Simplifying the equation, we find:

Time = (68 kg × 27 m/s) / 1180 N

Evaluating the expression:

Time = 1836 kg·m/s / 1180 N

Finally, converting kg·m/s to seconds, we get:

Time ≈ 1.5559 seconds

Therefore, it would take approximately 1.556 seconds for the barrier to crumple and safely slow down the person with a force of 1180 N.

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the question will be on one of the comments on the answers you give just now take the points

Answers

Answer:

Explanation:

hi

Which condition causes a hurricane to rotate?

a local storm surge
the Coriolis effect
several large waves
severe coastal flooding

Answers

Answer:

b

Explanation:

The Coriolis effect is a condition which causes a hurricane to rotate in a particular direction. Thus, the correct option is B.

What is the Coriolis effect?

Hurricanes are the enormous storms which come with a rotating wind speed of about 74 miles per hour. The rotating wind that swirls across the warm water of the tropics and also comes with a terrifying force.

The Coriolis force is an inertial or the fictitious force, which acts on the objects which are in motion within a frame of reference that rotates them with respect to an inertial frame. In a reference frame, with the clockwise rotation, the force acts to the left of the motion of the object. Whereas, in one with anticlockwise or counterclockwise rotation, the force acts to the right of the object. The deflection of an object due to this Coriolis force is called as the Coriolis effect.

Therefore, the correct option is B.

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An astronaut sings a song upon arriving on Planet Mongo. When her vocal cord produces an oscillation at 600 Hertz, she detects the wavelength of the sound wave generated to be 35 cm. The speed of sound on the planet is

Answers

The speed of sound on planet is 210 m/s.

What is Oscillation?

Oscillation is the repeating or periodic change of a quantity around a central value or between two or more states, often in time. Alternating current and a swinging pendulum are two common examples of oscillation.

There are 3 main types of Oscillation –

Freedampedforced oscillation

f = frequency = 600 Hz

lambda = wavelength = 35 cm = 0.35 m

Now,

V = speed = f × lambda = 210 m/s

Hence, speed of sound on planet is 210 m/s.

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A 1.50 kg cart moves in a circular path of 1.30 m radius at a constant speed of 2.00 m/s. (a) Calculate the magnitude of the centripetal acceleration of the cart.
(b) Calculate the magnitude of the centripetal force on the cart.
(c) Calculate the coefficient of friction between the tires and the ground
(d) Describe the direction of the centripetal force.

Answers

Answer:

the answer is 1500 because of the internet

a rod 16.0 cm long is uniformly charged and has a total charge of -23.0 µc. determine the magnitude and direction of the electric field along the axis of the rod at a point 42.0 cm from its center.

Answers

The magnitude of the electric field along the axis of the rod at a point 42.0 cm from its center is approximately 7.42 × 10^4 N/C directed away from the rod.

To determine the electric field at a point along the axis of a uniformly charged rod, we can use the equation for the electric field due to a charged rod:

E = (k * λ) / (2πε₀ * r),

where E is the electric field, k is Coulomb's constant (9 × 10^9 N m²/C²), λ is the linear charge density of the rod (charge per unit length), ε₀ is the permittivity of free space (8.85 × 10^-12 C²/N m²), and r is the distance from the center of the rod.

First, we need to calculate the linear charge density (λ) of the rod. Given that the total charge of the rod is -23.0 µC (microcoulombs) and the length of the rod is 16.0 cm, we can find λ:

λ = Q / L,

where Q is the total charge and L is the length of the rod. Converting the length to meters and the charge to coulombs, we have:

λ = (-23.0 × 10^-6 C) / (0.16 m).

Now, we can substitute the values into the electric field equation:

E = (9 × 10^9 N m²/C²) * [(-23.0 × 10^-6 C) / (2π * 8.85 × 10^-12 C²/N m² * 0.42 m)].

Calculating this expression yields E ≈ 7.42 × 10^4 N/C. The negative sign indicates that the electric field is directed away from the rod, as the rod has a negative charge.

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Jus need the answers <3

Jus need the answers &lt;3

Answers

Answer:

blahhhhhh ummm

Explanation:

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how does a particle differ from its anti-particle? it has opposite mass. it has opposite charge. its wave-function is the opposite sign. all of the above none of the above

Answers

An antiparticle is a subatomic particle that, by definition, has the same mass as its normal particle counterpart but the opposite magnetic moment and electric charge. An electron's antiparticle, for instance, is the positron.

The mass of an antiparticle is equal to that of the particle version, but it has the opposite charge. Antiparticles have opposite charges, baryon numbers, lepton numbers, and strangeness. A subatomic particle known as an antiparticle has the same mass as a particle of regular matter but the opposite electric charge and magnetic moment. Thus, the positron (a positively charged electron) is the opposite of the negatively charged electron.

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Which particles move to the center of the atom?

Answers

The particles that move to the center of the atom are the negatively charged electrons.

What is force?

Force is a push or pull on an object that causes it to accelerate or change its velocity. It is a vector quantity and has both magnitude and direction. Forces can be caused by a variety of factors, such as gravity, electromagnetic interactions, or contact with other objects. In physics, force is described by Newton's second law, which states that the force acting on an object is equal to its mass multiplied by its acceleration (F = m * a).

Here,

Electrons occupy energy levels, or orbits, around the nucleus of the atom. The energy levels are determined by the arrangement of the protons and neutrons in the nucleus and the energy of the electrons. The electrons occupy the lowest energy levels possible, closest to the nucleus.

As a result, the electrons move towards the center of the atom.

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Unguarded live parts operating at 30,000 volts located above a working space must be elevated at least _____ above the working space.

Answers

Unguarded live parts operating at 30,000 volts located above a working space must be elevated at least 9.5' above the working space.

What is voltage?

The voltage is the potential difference between the end of the conductor.
The place where electricity supply wires and power stations are present, the lives must protected. They must live far above the working space.

Thus, it must be 9.5' above the working space.

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An Abrams tank has a mass of 62,Ō00 kg. If its top speed is 20.0 m/s, what is its momentum at top speed?

Answers

Answer:

1240000 kg * m/s

Explanation:

p = momentum

p = mass * velocity in kg* m/s

62,000 kg * 20 m/s = 1240000 kg * m/s

What type of property can be observed without destroying the substance?

Answers

Physical properties such as color, shape, size, weight, odor, melting point, boiling point, and density can be observed without destroying the substance.

What is Physical properties?

Physical properties are characteristics of a substance that can be observed and measured without changing the substance's chemical composition. Examples of physical properties include color, density, hardness, melting point, boiling point, and electrical conductivity. These properties are determined through experiments and/or observations. Physical properties can be used to identify and classify a material. They can also be used to differentiate between different forms of the same material, such as different allotropes of the same element. Physical properties are also important for understanding how materials interact with each other and how they respond to the environment.

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Un carrusel da 1 vuelta cada minuto. Una mamá se da cuenta que el niño está por caerse y arranca a protegerlo cuando el niño ya le lleva 90 grados de ventaja. ¿Con qué aceleración debe alcanzarlo antes de que el niño complete media vuelta? a)¿Si ambo van en el mismo sentido?b) ¿Si ambos van en sentido contrario?

Answers

The acceleration is of mother before child reaches half a revolution is,
a) 0.42 radians per second squared b) 0.42 radians per second squared

If both are moving in the same direction, the relative velocity of the child with respect to the mother is the angular velocity of the carousel, which is 2π radians per minute. The mother needs to cover the same distance as the child in half the time, so her relative velocity with respect to the child must be twice the angular velocity of the carousel, which is 4π radians per minute.

To calculate the required acceleration, we can use the formula: acceleration = (final velocity - initial velocity) / time. Since the mother starts from rest and reaches a velocity of 4π radians per minute, the final velocity is 4π radians per minute. The time to cover half a revolution is 30 seconds. Therefore, the acceleration required for the mother to catch up with the child is,

acceleration = (4π - 0) / 30 = 4π/30 ≈ 0.42 radians per second squared

If both are moving in opposite directions, the relative velocity of the child with respect to the mother is the sum of their individual angular velocities. Since the mother is moving in the opposite direction to the carousel, her angular velocity is -2π radians per minute. Therefore, the relative velocity is (2π - (-2π)) = 4π radians per minute.

Using the same formula as before, the acceleration required for the mother to catch up with the child is,

acceleration = (4π - 0) / 30 = 4π/30 ≈ 0.42 radians per second squared

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--The complete question is, A carousel completes 1 revolution every minute. A mother realizes that her child is about to fall and starts moving to protect him when the child already has a 90-degree lead. What acceleration must she reach to catch up with him before the child completes half a revolution? a) If both are moving in the same direction? b) If both are moving in opposite directions?--

List the types of electromagnetic radiation in order from lowest energy photons to highest energy photons.

Answers

radio waves,X-rays,

Explanation:

In order from highest to lowest energy, the sections of the EM spectrum are named: gamma rays, X-rays, ultraviolet radiation, visible light, infrared radiation, and radio waves. Microwaves (like the ones used in microwave ovens) are a subsection of the radio wave segment of the EM spectrum.

Which variables must be held constant for Boyle's Law to apply?
A. pressure and volume
C. temperature and moles (amount of gas)
B. volume and temperature
D. volume and moles (amount of gas)​

Answers

Boyle's Law applies when the variables of pressure and volume are held constant. Boyle's Law states that at constant temperature, the pressure of a given amount of gas is inversely proportional to its volume. In other words, as the volume of a gas decreases, its pressure increases, and vice versa, as long as temperature remains constant.

To apply Boyle's Law, it is crucial to hold the variables of pressure and volume constant while investigating the relationship between them. This means that any changes in pressure should occur due to changes in volume alone, without any alterations in temperature or the amount of gas (moles).

If the temperature or the amount of gas changes, it can impact the relationship between pressure and volume, leading to deviations from Boyle's Law. Temperature influences the kinetic energy of gas molecules, while the number of gas molecules affects the frequency of collisions within the container. Thus, to isolate the inverse relationship between pressure and volume described by Boyle's Law, temperature and moles (amount of gas) need to be kept constant.

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what type of axle is also a part of the drivetrain system?

Answers

The type of axle that is also a part of the drivetrain system is called a "drive axle" or "driven axle".

A drive axle is a component of a vehicle's drivetrain that is responsible for transferring power from the engine and transmission to the wheels. In a rear-wheel drive vehicle, the drive axle is located in the rear of the vehicle and transmits power to the rear wheels. In a front-wheel drive vehicle, the drive axle is located in the front of the vehicle and transmits power to the front wheels. In some vehicles, such as all-wheel drive or four-wheel drive vehicles, multiple drive axles may be used to transfer power to all four wheels.

The drivetrain of car is actually a collection of drivetrain components that work together with the engine to move the wheels and other sections of the car to propel it forward. The transmission, differential, driveshaft, axles, CV joints, and wheels are typically included in this group.

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When the following cross is performed: AaBb x AaBb, the expected phenotypic ratio isA. 4:4:4:4B. 9:3:3:1C. 6:6:2:2D. 7:7:1:1 6th grade math sum1 pls help thanks Daniel Webster was a lawyer and a senator, famous for his adept oratory skills. However, he spoke most passionately about _____________.A) keeping the Union togetherB) the Compromise of 1850.C) the evils of slavery.D) ensuring popular sovereignty. Let R be a commutative ring with 1. Let M (R) be the 2 2 matrix ring over R and R[x] be the polyno- mial ring over R. Consider the subsets S s={[%] [] la, ber and J = {[88] la,be. ber} a of M (R), and consider the function : R[x] M(R) given for any polynomial p(x) = co+cx+ +x R[x] by (p(x)) = [' CO C1 CO 0 (2) Show that is a ring homomorphism. Read these two sentences: The novel featured many references to interesting characters from history, The novel featured William Shakespeare, Abraham Lincoln, and Albert Einstein.Which sentence correctly combines the two sentences to create more interesting syntax? (5 points)The novel featured many references to interesting characters from history, the novel featured William Shakespeare, Abraham Lincoln, and Albert Einstein.The novel featured many references to interesting characters from history the novel featured William Shakespeare, Abraham Lincoln, and Albert Einstein.The novel featured many references to interesting characters from history such as William Shakespeare, Abraham Lincoln, and Albert EinsteinThe novel featured many references to interesting characters from history either William Shakespeare, Abraham Lincoln, or Albert Einstein Help me,Im so confused ..and explain pls help me plsssssssssssssssss Translate this sentence into an equation. 135 is the product of Rick's height and 9. Use the variable r to represent Rick's height. What rumor caused the French government to reconsider the value of Louisiana colony? In which function is x = 2 mapped to 32? Use the word continuous, to summarize the types of data scientists work with. which is a direct identifier that must be removed from research subjects records in order to comply with the use of a limited data set? Which action is important in the development of healthy social relationships? A) sacrificing energyB) being demanding of others timeC) being critical of othersD) losing a sense of identity Which of the following contains organ systems?Choose 1 answer:A. organB. organismC. cellD. tissues Verify the identity by following the steps below sin(z)cot(x) Cos() 1) Write the left-hand side in terms of only sin) and cos) but don't simplify Preview 2) Simplify cos(z) Preview Which of the following best characterizes the French Revolution? A. Lengthy (it took almost two decades for the french to claim independence). B. Peaceful( the process was a smooth transfer of power from the monach to the people) C. Short ( after initially removing the monarch, the french installed a president that established stability at once) D. Violent (Mobs of french people won their independence through bloody upsprings) Read the excerpt from "Justin Lebo.It was a BMX bike with a twenty-inch frame. Its original color was buried beneath five or six coats of gunky paint. Now it showed up as sort of a rusted red. Everythingthe grips, the pedals, the brakes, the seat, the spokeswere bent or broken, twisted and rusted.The author most likely included these details in order tohighlight the amount of money Justin had to spend to restore the bicycle.illustrate why Justin wanted to give the bicycle away to someone else.emphasize how hard Justin had to work to restore the bicycle.show why Justin may have made a mistake in buying this bicycle. Ava wants to buy as many chocolate bars as she can. she has 5 pounds to spend on chocolate bars. Each chocolate bar costs 35p how much change will she get from 5 pounds. Need now pleasee! :(Find the units digit for the sum 13^35 + 57^30 + 34^33Give explanation/steps. compound interest, maths question