A wire whose resistance is R is stretched so that its length is tripled while its volume remains unchanged.

Determine the resistance of the stretched wire.

Express your answer in terms of R and appropriate constant

After the trigger is pulled, the momentum of the system is:

p = mv

where p is the momentum, m is the mass, and v is the velocity.

Before the bullet is fired:

p = 0

After the bullet is fired:

p = (0.008 kg)(v) + (4 kg)(-u)

where u is the recoil velocity of the gun.

Since there are no external forces acting on the system, the initial momentum is equal to the final momentum:

0 = (0.008 kg)(v) + (4 kg)(-u)

Solving for u, we get:

u = -(0.008 kg)(v)/(4 kg) = -0.002 v

Substituting this into the equation for the momentum, we get:

p = (0.008 kg)(v) + (4 kg)(0.002 v) = 0.016 v

The force applied to the bullet is given by:

F = ma

where F is the force, m is the mass, and a is the acceleration.

Rearranging this equation to solve for acceleration, we get:

a = F/m = (2.8 kN)/(0.008 kg) = 350,000 m/s^2

Using the kinematic equation:

v = u + at

where u is the initial velocity (which is zero), t is the time, and a is the acceleration, we can solve for the final velocity:

v = at = (350,000 m/s^2)(1.7 × 10^-3 s) = 595 m/s

Therefore, the velocity of the bullet as it leaves the barrel of the gun is 595 m/s.

b) The recoil velocity of the gun is given by:

u = -(0.008 kg)(v)/(4 kg) = -0.002 v = -1.19 m/s

c) In an elastic collision, kinetic energy is conserved, while in an inelastic collision, kinetic energy is not conserved.

The initial kinetic energy of the system is zero, since both the bullet and the gun are stationary. After the collision, the kinetic energy of the system is:

K = (1/2)mv^2 + (1/2)Mu^2

where K is the kinetic energy, m is the mass of the bullet, v is its velocity, M is the mass of the gun, and u is its recoil velocity.

Substituting the values we found earlier, we get:

K = (1/2)(0.008 kg)(595 m/s)^2 + (1/2)(4 kg)(1.19 m/s)^2 = 1340 J

The work done on the bullet is:

W = Fs = (2.8 kN)(2 × 10^-3 m) = 5.6 J

Since the work done on the bullet is less than the change in kinetic energy of the system, the collision is inelastic.

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There is a requirement for 1,638,000 Joules of heat.

Q=I2Rt provides the Joule's heating formula. Joule's heating formula states that the amount of heat produced is proportional to the length of time that the electrical resistance and current are both constant.

The following equation must be used:

Q = m × Lfus + m × Cp × ΔT

Ethyl alcohol has a heat of fusion of 105 J/g and a specific heat capacity of 2.44 J/g°C.

The amount of ethyl alcohol is specified as 7.2 kg, or 7,200 g.

The ethyl alcohol must be melted at a temperature of:

Q1 = m × Lfus =

7,200 g × 105 J/g

= 756,000 J

In order to raise the temperature of the liquid ethyl alcohol from 0°C to 50°C, we must determine the amount of heat needed:

ΔT = 50°C - 0°C

= 50°C

The amount of heat required to raise the temperature of the liquid ethyl alcohol is:

Q2 = m × Cp × ΔT

= 7,200 g × 2.44 J/g°C × 50°C

= 882,000 J

As a result, the total amount of heat needed to transform 7.2 kg of solid ethyl alcohol from -211°C to 50.0°C into a liquid is:

Q = Q1 + Q2 = 756,000 J + 882,000 J

= 1,638,000 J

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Answer: I think the answer is symbiotic tell me if I am right

Explanation:

Answer:

Symbiotic

Explanation:

Pathogenic relationships refer to things like microbes or viruses, think along the lines of how diseases spread throughout the body. One party is benefitted but the other is not.

'Microorganism' and 'macroorganism' refer to types of organisms rather than types of relationships.

If you know the total current and  voltage across the circuit, then you can find the total resistance using the Ohm's Law, that is : R = V / I.

In a series-parallel circuit, one can find the total resistance of circuit by calculating resistance of each parallel section and then adding reciprocals of these values to obtain total resistance of parallel section. Next, you can add series resistances to this total resistance to obtain single resistance for entire circuit.

In series the total resistance is equal to the sum of the resistors. In parallel,  inverse of the total resistance is equal to the the sum of the inverse of each individual resistor.

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Note: The question given on the portal is incomplete. Here is the complete question.

Question: How is resistance calculated in a series-parallel circuit?

If an 80% efficiency machine lifts a load of 40n by applying a 10N effort then the velocity ratio (VR) will be 5.

The efficiency of a machine can be calculated by the ratio of mechanical advantage(MA) and the velocity ratio(VR).

Mathematically,

Efficiency= η= [tex]\frac{MA}{VR}[/tex]

where MA= mechanical advantage = load(W)/ Effort(P)

VR=velocity ratio=[tex]\frac{distance moved by effort }{distance moved by load}[/tex]

Here in the given question

Load(w)=40N

Effort(P)= 10N

MA=40/10=4

Efficiency(η)=80% =0.8

we Know η=MA/VR

VR=MA/η

VR=4/0.8=5

VR=5

Hence the velocity ratio of the machine is 5.

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The frequency of a wave is the speed of the wave divided by its wavelength. The frequency of the wave travelling through at 2.6 m/s with the wavelength of 1.3 meters is 2 Hz.

Frequency of a wave is the number of wave cycles travelling per unit time. It is the inverse of the time period thus has the unit of s⁻¹ which is equivalent to the unit Hz.

The frequency of a wave is inversely proportional to the wavelength of the wave. The speed of the wave is related to its frequency and wavelength as:

c = νλ

given, c = 2.6 m/s

wavelength, λ = 1.3 m.

then, frequency ν = c/λ

ν  = 2.6 m/s / 1.3 m

   = 2 Hz.

Therefore, the frequency of the wave is 2 Hz.

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The energy crisis is generally caused by increasing the population or excessive utilization of non-renewable sources of energy.

Most of the time, energy crises typically have been provoked by localized shortages, wars, and market manipulation. Some have stated that government characteristics and actions like tax hikes, nationalization of energy companies, etc. are responsible for such circumstances. Definitely, these facts are true.

Apart from this, the regulation of the energy sector shifts the supply and demand of energy away from its economic equilibrium and may also be responsible for hiking the price of petroleum products from time to time. If the government may raise the price of any product, it will not be affordable for common consumers due to a lack of earnings and financial strength. This ultimately leads to an energy crisis.

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The correctly written chemical equation that demonstrates the conservation of mass is:

[tex]H_{2} + O_{2} - > H_{2}O[/tex]

The law of conservation of mass is a fundamental principle in chemistry and physics that states that mass cannot be created or destroyed in a chemical reaction or a physical process. In other words, the total mass of the reactants must be equal to the total mass of the products in any chemical reaction. This means that the number of atoms of each element present in the reactants must be equal to the number of atoms of the same elements in the products.

[tex]H_{2} + O_{2} - > H_{2}O[/tex]

This equation shows the reaction between hydrogen gas and oxygen gas to produce water vapor. The equation is balanced, which means that the number of atoms of each element on both sides of the equation is equal, and therefore, the law of conservation of mass is upheld.

The law of conservation of mass is important in chemistry because it allows chemists to predict the outcome of a reaction and to calculate the amount of reactants needed to produce a certain amount of product. It also ensures that the total amount of matter in the universe remains constant, which is a fundamental concept in modern physics.

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This is because the higher the marble is released, the more potential energy it has.

Potential energy is the energy that is stored in an object due to its position, shape, or composition. This energy is released when the object is disturbed from its current state. Potential energy can be found in many different forms, such as gravitational, elastic, chemical, electrical, magnetic, and nuclear energy. Gravitational potential energy is the energy of an object due to its vertical position, and is calculated by multiplying its mass by the gravitational acceleration and its height. Elastic potential energy is the energy stored in a deformed material, such as a spring, that is released when the material returns to its original shape.

This potential energy is converted to kinetic energy as the marble rolls down the ramp, and this kinetic energy determines how far the marble will travel away from point A. The higher the initial potential energy, the further the marble will travel.

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Answer:

The work done by the helicopter is equal to the force applied multiplied by the distance moved in the direction of the force. In this case, the force is equal to the weight of the two people, which is given as 150 kg, and the distance moved in the direction of the force is 20 meters.

Therefore, the work done by the helicopter is:

Work = Force x Distance = 150 kg x 9.8 m/s^2 x 20 m = 29,400 J

This work is turned into potential energy, which is stored in the two people lifted by the helicopter. As the helicopter pulls the people upward, their potential energy increases due to their increased height above the ground. If the helicopter were to release the people, their potential energy would be converted into kinetic energy as they fell back down to the ground.

Explanation:

"Particles always move in straight lines" is not true. Particles can move in curved paths due to the influence of external forces, such as gravity or electric or magnetic fields.

Gravity is a natural phenomenon by which all objects with mass are brought toward one another. It is most commonly recognized as the force that gives weight to physical objects, and causes them to fall to the ground when dropped. Gravity is one of the fundamental forces of the universe and is a type of acceleration that affects all objects in the same way regardless of size, composition, and other factors. This force is responsible for keeping planets and other objects in their orbits around larger masses. It is also the driving force behind the formation of galaxies, stars, and other celestial bodies.

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Ionizing smoke detectors contain an isotope that undergoes alpha decay (such as americium-241) because alpha particles are more ionizing than beta or gamma particles.

What is Isotopes?

Isotopes are variants of an element that have the same number of protons in their atomic nuclei but differ in the number of neutrons. This means that isotopes of the same element have the same atomic number (which determines the element's chemical properties) but different atomic masses.

In an ionizing smoke detector, the alpha particles emitted by the radioactive source ionize the air in the detector's chamber, creating a current that is detected by a circuit. When smoke particles enter the chamber, they attach to the ions and reduce the current, triggering the detector's alarm.

Alpha particles are heavier and have a higher charge than beta or gamma particles, which means they interact more strongly with matter and create more ionization as they travel through air. This makes them more effective at ionizing the air in the detector's chamber, and therefore more sensitive to the presence of smoke particles.

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Both processes involve a change in the state of matter. In thermionic emissions, electrons are emitted from a solid metal surface to form a gas or plasma, while in liquid vaporization, a liquid is converted into a gas or vapor.

Liquid vaporisation, also known as evaporation, is the process by which a liquid transforms into its gaseous state at a temperature below its boiling point. This occurs due to the random motion of molecules in a liquid, where some of the molecules near the surface gain enough kinetic energy to overcome the intermolecular forces holding them together and escape into the air as a gas.

During the process of liquid vaporization, the liquid absorbs energy from its surroundings in the form of heat, which increases the average kinetic energy of the molecules and causes them to evaporate. The rate of evaporation depends on several factors such as temperature, humidity, and surface area of the liquid.

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Answer:

a) We can use the following formula to calculate the acceleration of the object:

a = (v_f - v_i) / t

where a is the acceleration, v_f is the final velocity, v_i is the initial velocity, and t is the time interval. Substituting the given values, we get:

a = (90 m/s - 40 m/s) / (2 min * 60 s/min) = 0.83 m/s^2

The force applied causing it to speed up can be found using Newton's second law of motion:

F = m * a

where F is the net force, m is the mass of the object, and a is the acceleration. Substituting the given values, we get:

F = 0.05 kg * 0.83 m/s^2 = 0.042 N

Therefore, the force applied causing the object to speed up is 0.042 N.

b) The work done by this force can be calculated using the following formula:

W = F * d

where W is the work done, F is the net force, and d is the displacement of the object. The displacement of the object is given by:

d = 670 m

Substituting the given values, we get:

W = 0.042 N * 670 m = 28.14 J

Therefore, the work done by the force is 28.14 J.

c) The work done by friction can be calculated using the formula:

W_friction = F_friction * d

where W_friction is the work done by friction, F_friction is the force of friction, and d is the displacement of the object. The force of friction can be calculated using:

F_friction = μ * F_norm

where μ is the coefficient of friction and F_norm is the normal force. The normal force is equal to the weight of the object, which is given by:

F_weight = m * g

where m is the mass of the object and g is the acceleration due to gravity. Substituting the given values, we get:

F_weight = 0.05 kg * 9.81 m/s^2 = 0.49 N

The normal force is equal in magnitude to the weight of the object, so we have:

F_norm = F_weight = 0.49 N

Substituting the given coefficient of friction, we get:

F_friction = 0.34 * 0.49 N = 0.17 N

The work done by friction can now be calculated by substituting the values we have found:

W_friction = 0.17 N * 670 m = 113.9 J

Therefore, the work done by friction is 113.9 J.

d) The net work done can be calculated as the sum of the work done by the applied force and the work done by friction:

W_net = W_applied + W_friction

Substituting the values we have found, we get:

W_net = 28.14 J + 113.9 J = 142.0 J

Therefore, the net work done is 142.0 J.

According to the solving  the statement is correct. The work done on the car as it speeds up to 5.0 m/s is 22,500 J.

The work performed by a force is the sum of the movement and the component of something like the applied pressure of the object in the displacement direction. Work is accomplished when we push a block with a certain amount of force, "F," which causes the body to move with a certain amount of acceleration. Work completed is represented by the formula W = F.

KEf = (1/2)mv²

= (1/2)(1800 kg)(5.0 m/s)²

= 22,500 J

The work done on the car is equal to the change in kinetic energy:

W = KEf - KEi

= 22,500 J - 0 J

= 22,500 J

Therefore, the statement is correct. The work done on the car as it speeds up to 5.0 m/s is 22,500 J.

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I understand the the question you are looking for is:

If a 1800 kg car starts at rest and speeds up to 5. 0 m/s then the work done is?

Taking into account the definition of calorimetry, if 400 grams of water is to be heated from 24.0°C to 100.0°C to make a cup of tea, the heat added is 127254.4 J.

When heat absorbs or releases from a substance causes a temperature change in it without affecting its physical state (phase change), it is called sensible heat.

The expression that allows to calculate heat exchanges is:

Q = c× m× ΔT

where:

In this case, you know:

Replacing in the definition of sensible heat:

Q = 4.180 J/g∙C× 400 g× 76 C

Solving:

Q= 127254.4 J

Finally, the heat added is 127254.4 J.

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Answer:

Mass and kinetic energy have a positive relationship, which means that as mass increases, kinetic energy increases, if all other factors are held constant.

In this state, Kinetic energy is equal to half of the product mass and velocity. SI unit is joules. So it's if the mass is doubled then the kinetic energy also gets doubled.

The spring can not cross the hill.

Elastic potential energy is the potential energy stored in an object when it is deformed, or stretched or compressed, by a force. When an elastic object is stretched or compressed, it has the potential to return to its original shape and size, and the work done to stretch or compress it is stored as elastic potential energy.

We know that;

E = 1/2Ke^2

E = 0.5 * 3600 * (5 * 10^-2)^2

E = 4.5 J

Now the GPE of the hill is;

mgh = 50 * 10^-3 * 10 * 9.8

= 4.9 J

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If you jumped at an angle, it would depend on the angle you jumped at and the speed you jumped at. If you jumped at an angle that was greater than the escape velocity of 12 m/s, you would be able to escape.

An angle is a figure formed by two rays, or line segments, that extend from a common endpoint. It is a measure of the amount of turn between the two rays. The angle is measured in degrees, with a full circle being 360 degrees. Angles can be acute, obtuse, right, reflex, or straight. Acute angles measure less than 90 degrees, whereas obtuse angles measure more than 90 degrees. Right angles measure exactly 90 degrees, reflex angles are greater than 180 degrees, and straight angles measure exactly 180 degrees.

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The voltage across one of the lamps will be 220V. This is because when components are connected in parallel, the voltage across each component is the same as the voltage across the source.

Voltage is a measure of the potential difference in electrical energy between two points. It is measured in volts and is the electrical force that causes current to flow in an electrical circuit. Voltage is the energy per unit charge that causes a current to flow through a conductor. It can be compared to the pressure of water in a pipe, where the greater the pressure, the more water that can be pushed through the pipe. Voltage is the primary factor in determining the amount of electrical current that can be produced in an electrical circuit. Voltage is also related to the amount of power that can be produced in an electrical circuit. Voltage can be generated by a variety of sources, such as batteries, generators, and rectifiers.

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Answer:

1.076 m/s

Explanation:

Given a 3.0 kg fish is swimming at 1.5 m/s to the right. it swallows a 0.25 kg fish swimming to the left at 4.0 m/s. what is the speed and direction of the larger fish immediately after lunch?  

Mass of fish m1 = 3 kg

Velocity v1 = 1.5 m/s

Mass of small fish m2 = 0.25 kg

Velocity v2 = - 4 m/s (negative sign since the direction is opposite)

Therefore total mass of fish after swallowing will be M = 3 + 0.25 = 3.25 kg

Let the final velocity of fish be V

Now according to the law of conservation of momentum we have

     So m1v1 + m2v2 = M x V

           3 x 1.5 + 0.25 x – 4 = 3.25 x V

               4.5 – 1 = 3.25 V

                   3.25 V = 3.5

                     Or V = 1.076 m/s

So speed of the fish will be 1.076 m/s

Transverse wave: direction of propagation is perpendicular to direction of wave

Answer:

Originally Sonu and image is 8 m (4 m to mirror and 4 m to image)

If he moves 1 m towards the mirror the image distance will be reduced to  (c) 6 m

The first two statements are false and the remaining three statements are true.

1. Magnetomotive force is the production of magnetic field by current in a conductor.

This statement is false. Magnetomotive force (MMF) is a measure of the strength of a magnetic field produced by a magnetic circuit, not by current in a conductor.

2. 25 mA is necessary for the coil with 4000 turns to produce 1000 A-T of MMF.

This statement is false. To produce 1000 A-T of MMF in a coil with 4000 turns, the current required would be:

MMF = N * I

1000 A-T = 4000 turns * I

I = 0.25 A or 250 mA

3. When unlike poles, that is, south and north poles, are placed close together, an attraction force is produced by the magnetic fields.

This statement is true. According to the laws of magnetism, opposite poles (north and south) attract each other, while like poles (north and north, or south and south) repel each other.

4. Magnetic lines of force never cross one another.

This statement is true. Magnetic lines of force (also known as magnetic field lines) are imaginary lines used to represent the direction and strength of a magnetic field. These lines are always continuous and form closed loops, never crossing one another.

5. When a magnetic field is moved past a stationary wire, there is relative motion.

This statement is true. According to Faraday's law of electromagnetic induction, a changing magnetic field induces an electromotive force (EMF) in a nearby conductor. This EMF causes current to flow in the conductor, creating a voltage.

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The equivalent resistance between points A and B in the diagram is 22 Ω

We shall begin by obtaining the equivalent resistance in parallel (i,e the three 6 Ω resistor). Details below:

1/Rₜ = 1/R₁ + 1/R₂ + 1/R₃

1/Rₜ = 1/6 + 1/6 + 1/6

1/Rₜ = 3/6

1/Rₜ = 1/2

Rₜ = 2 Ω

Finally, we shall determine the equivalent resistance between A and B (i.e series arrangement). Details below:

R = R₁ + R₂ + R₃ + R₄ + R₅ + R₆ + R₇ + R₈ + R₉ + R₁₀ + R₁₁

R = 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2

R = 22Ω

Thus, we can conclude that the equivalent resistance is 22 Ω

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A puck moves at 2.35 m/s in a -22° angle.It is pushed for 0.215 seconds by a hockey stick, changing its velocity to 6.42 m/s in a 50.0° direction. The negative sign indicates that the puck has fallen below its initial height.

How to solve the given problem with the help of trigonometry?

To solve the problem, we need to use the equations of motion and trigonometry.

First, let's find the initial velocity components:

[tex]\mathrm V_{i,x} = v_i cos(\theta_i) = 2.35 cos(-22^\circ) \approx 2.216\text{ m/s}[/tex]

[tex]\mathrm V_{i,y} = v_i sin(\theta_i) = 2.35 sin(-22^\circ) \approx -0.891\text{ m/s}[/tex]

where [tex]v_i[/tex] is the initial velocity and [tex]\theta_i[/tex] is the initial angle in degrees.

Next, we need to find the final velocity components:

[tex]\mathrm V_{f,x} = v_f cos(\theta_f) = 6.42 cos(50^\circ) \approx 4.121\text{ m/s}[/tex]

[tex]\mathrm V_{f,y} = v_f sin(\theta_f) = 6.42 sin(50^\circ) \approx 4.936\text{ m/s}[/tex]

where [tex]v_f[/tex] is the final velocity and [tex]\theta_f[/tex] is the final angle in degrees.

The change in velocity components are:

[tex]\Mathrm\Delta V_x = V_{f,x} - V_{i,x} \approx 1.905\text{ m/s}[/tex]

[tex]$\Delta V_y = V_{f,y} - V_{i,y} \approx 5.827\text{ m/s}[/tex]

The time of the push is t = 0.215 s.

Using the equation of motion, we can find the change in position in the y-direction:

[tex]$\Delta y = V_{i,y} t + \frac{1}{2} a_y t^2[/tex]

where a_y is the acceleration in the y-direction.

Since the puck is in flight, the only force acting on it is gravity, which causes an acceleration of [tex]-9.8 m/s^2[/tex] in the y-direction.

Plugging in the values, we get:

[tex]\Delta y = (-0.891\text{ m/s})(0.215\text{ s}) + \frac{1}{2} (-9.8\text{ m/s}^2)(0.215\text{ s})^2 \approx -0.139\text{ m}[/tex]

Note that the negative sign indicates that the puck has fallen below its initial height.

Therefore, the change in position in the y-direction is approximately 0.139 m.

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Answer:

0.434

Explanation:

The Earth has four main interconnected systems: the atmosphere, the hydrosphere, the lithosphere, and the biosphere.

The model shows how all four systems interact with each other and influence each other. The atmosphere is responsible for controlling the climate and transferring energy through air currents and radiation. The hydrosphere includes all water on Earth, both frozen and liquid, and it is responsible for transporting water and energy. The lithosphere is made up of rocks, soil, and minerals, and it helps regulate and moderate the Earth's temperature. Finally, the biosphere is made up of all living things, and it influences and is influenced by all of the other systems.

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Explanation:

The angle of the plane is directly correlated to the shape of the elliptical shape cut out. When the plane is at a low angle, the resulting elliptical shape cut out is also much shorter in length. Conversely, when the plane is at a steep angle, the resulting elliptical shape cut out is much longer in length.

This is because the angle of the plane determines the amount of material that will be removed when the plane is used to cut the elliptical shape. When the plane is at a low angle, less material is removed, thus producing a shorter elliptical shape. When the plane is at a steep angle, more material is removed, thus producing a longer elliptical shape.

In addition, the angle of the plane also affects the depth of the elliptical shape cut out. When the plane is at a low angle, the resulting elliptical shape is shallow. Conversely, when the plane is at a steep angle, the resulting elliptical shape is deep.

Answer:

Current in first junction R1, R2 = 5 amps

Since current thru R2 = 3 amps the current thru R1 = 2 amps

V1 = V = I1 R1 = 15 volts

R1 = 15 volts / 2 amps = 7.5 ohms

Answer:

B. Disposition

Explanation:

In order for a delta to form, water must flow slowly so that the sediment can be deposited to create new landforms.