An Atwood’s machine is set up by suspending two blocks connected by a string of negligible mass over a pulley, as shown above. The blocks are initially held at rest and then released. The acceleration of mass M1 is 4.9 m/s2 downward and M1 = 6 kg. Find the mass of M2.

An Atwoods Machine Is Set Up By Suspending Two Blocks Connected By A String Of Negligible Mass Over A

Answers

Answer 1

The mass of M₂ = 12kg.

What is acceleration of mass?

Newton's second law of motion states that an object's acceleration is equal to its mass divided by the net force acting on it, or a = F m. When an object's mass and the net force acting on it are known, this equation for acceleration can be used to determine the object's acceleration.

The formal formulation of Newton's second law is as follows: The acceleration of an object caused by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.

F = ma

F = 6×4.9

F = 29.4N.

F = (M₂ - M₁)a

29.4 = (M₂- 6) 4.9

29.4/ 4.9 = M₂- 6

M₂ = 6+6

M₂ = 12kg.

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Related Questions

PLEASE HELP? The mass on the spring in this diagram is in harmonic motion between x=-5cm and x=5cm. At what point does the mass have the most kinetic energy?

Answers

The point where the mass have the most kinetic energy is point zero (0).

option C is the correct answer.

What is kinetic energy?

The kinetic energy of an object is the energy possessed by the object due to its motion.

Mathematically, the formula for kinetic energy of an object is given as;

K.E = ¹/₂mv²

where;

m is the mass of the objectv is the speed of the object

In a simple harmonic motion, the kinetic energy of the object increases as the speed of the object increases.

At maximum displacement of an object under going simple harmonic motion, the potential energy of the object is maximum while the kinetic energy is zero.

At minimum displacement or half of the maximum displacement, the kinetic energy of the object is maximum while the potential energy of the object is zero.

(-5)-------------------0-----------------------(+5)

Kinetic energy energy of the object at the various positions;

-5 is maximum displacement, hence kinetic energy is zero0 is the minimum displacement or half of the two maximum displacement; hence kinetic energy is maximum5 is maximum displacement, hence kinetic energy is zero

Thus, option C is the correct answer because position zero (0) is the half or center of the two maximum displacement positions.

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Investigators have created structures consisting of linear chains of ionized atoms on a smooth surface. Electrons are restricted to travel along the chain. The energy levels of the electrons match the results of the particle-in-a-box model. For a 5.0-nm-long chain, what are the energies (in eV) of the f" three states?

Answers

The energy of electrons of three states are 15.06 meV, 60.24 meV and 0.54 eV

Different orbits in which electrons are revolving are called energy levels or stationary states. These  energy/ stationar state levels for an electron are given as n= 1, 2, 3….. .These numbers are called the principal quantum numbers.

The energy of the levels for the electron in the box with length 5 nm is:

[tex]E_{n[/tex] = [tex]h^{2}[/tex]×[tex]n^{2}[/tex]/ 8 m [tex]L^{2}[/tex]

    =6.626×[tex]10^{-34[/tex] j[tex]s^{-1[/tex]/8 ( 9.11×[tex]10^{-31[/tex] kg )×([tex](5.10^{-9[/tex] )2 ×[tex]n^{2}[/tex]

 = 2.41 ×[tex]2.41^{-21[/tex] j [tex]n^{2}[/tex]

 = 15.06 me V[tex]n^{2}[/tex]

The energies of the first three states are:

E1 =15.06 meV

E2 = 60.24 meV

E3 = 0.54 eV

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What is the voltage across and the current through each parallel resistor if the total
voltage is 12 V and the total resistance is 550Ω? There are four resistors, all of equal
value.

Answers

Answer: In a circuit with parallel resistors, the voltage across each resistor is the same, and the total resistance is equal to the reciprocal of the sum of the reciprocals of the individual resistances.

Since the total resistance is 550Ω and there are four resistors of equal value, the value of each resistor is 550Ω / 4 = 137.5Ω.

Since the voltage across each resistor is 12V and there are four resistors, the voltage across each resistor is 12V / 4 = 3V.

The current through each resistor can be found using Ohm's law, which states that the current through a resistor is equal to the voltage across the resistor divided by the resistance.

Thus, the current through each resistor is 3V / 137.5Ω = 0.0218A.

So, the voltage across each resistor is 3V, and the current through each resistor is 0.0218A.

The voltage across and the current through each parallel resistor is respectively 12 V and 0.384 amp.

What is electric current?

A stream of charged particles, such as electrons or ions, travelling through an electrical conductor or a vacuum is known as an electric current. The net rate of electric charge flowing through a surface or into a control volume is how it is calculated.

Given that:

the total voltage is 12 V.

the total resistance is 550Ω.

The resistance of every resistor = 500/4 Ω = 125 Ω.

As they are connected in parallel combination, the equivalent resistance of them = 125/4 Ω

=31.25 Ω.  

As they are connected in parallel combination,  the voltage across  each resistor is same and it is 12 Volt.

And the current through each parallel resistor = V/R

= 12/31.25 amp

=0.384 amp.

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Specify the SI unit for the penetration coefficient of ultrasonic waves:
m-1
m/s
non-dimensional quantity

Answers

The penetration coefficient of ultrasonic waves be non-dimensional quantity. So, this has no unit.

What is penetration depth?

The depth to which light or any other electromagnetic radiation may permeate a material is known as the penetration depth. It is defined as the depth at which the radiation's internal intensity reaches 1/e (or, more precisely, just below) its initial value at (or just below) the surface.

The atoms and electrons inside the substance interact with this electromagnetic field. The electromagnetic field may penetrate a material very deeply or may disappear very fast, depending on the nature of the material. The depth of penetration for a given substance is typically a function of wavelength. So, the penetration coefficient of ultrasonic waves: non-dimensional quantity. So, this has no unit.

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While walking down Madison Avenue, Thomas smelled smoke. Soon, Thomas saw flames leaping out of a third story apartment window. In a flash, Thomas saw another man run into the burning building and emerge, only a minute later, with a young girl in his arms. Witnessing this made Thomas feel hopeful about humans and our ability to help each other. Thomas felt ________.

Answers

While walking down Madison Avenue, Thomas smelled smoke. Soon, Thomas saw flames leaping out of a third story apartment window. In a flash, Thomas saw another man run into the burning building and emerge, only a minute later, with a young girl in his arms. Witnessing this made Thomas feel hopeful about humans and our ability to help each other. Thomas felt the diffusion of responsibility

What is the diffusion of responsibility?

When there are additional witnesses or bystanders present, a person is less likely to accept responsibility for their actions or inaction, which is known as the "diffusion of blame" sociopsychological phenomenon.

When those who need to decide wait for someone else to take action in their place, responsibility is diffused. The more people participating, the more likely it is that no one will take action because they assume someone else in the group will probably take the initiative.

Diffusion of responsibility in the workplace can be seen, for instance, when an employee engages in offensive behavior toward another and they fail to report it because they feel it is not their place to do so.

The "bystander effect" and "diffusion of culpability" are two terms for the same psychological phenomena

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PLEASE HELP. STUCK WITH PART C. WILL GIVE BRAINLIEST.

A 30uF capacitor holds a charge of 12 x 10 ^-4 C.
a. What is the voltage that it is charged to?
b. If the tolerance of the capacitor is ± 5uF, express this uncertainty as a percentage.
c. What is the greatest voltage which could occur across the plates of the capacitor?​

Answers

Answer:the capacitance in farads, is the charge stored on the plates in coulombs, and is the potential difference (or voltage) between the plates.

Explanation:your welcome

A billiard ball is rolled off of a table onto the floor below in projectile motion. If the speed at which the bowling ball left the table was 12m/s, then what is the x-component of the velocity of the bowling ball at the instant before it strikes the ground?

Answers

The x-component of the velocity of the bowling ball at the instant before it strikes the ground is 12 m/s.

What is the horizontal velocity of a projectile?

The horizontal velocity of a projectile motion is the velocity of the projectile along the horizontal axis or x component of the velocity.

During a projectile motion, the vertical velocity of the projectile decreases as the projectile moves upwards and eventually becomes zero as the object reaches the maximum height. The vertical velocity also increases as the projectile moves downward and becomes maximum before the projectile hits the ground.

However, the horizontal velocity of a projectile remains constant since horizontal motion is not affected by gravity. This means that the initial horizontal velocity is equal to final horizontal velocity.

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When a student is applying a rightward force of 6.5 N to a 1.80 kg box the box remains at rest. When the student applies a slightly larger force, the box moves to the right. Find the coefficient of static friction.

Answers

The coefficient of static friction is equal to 0.368.

What is static friction?

Static Friction can be described as friction that is experienced when an object is placed on a surface. Kinetic friction can be described as friction due to the movement of an object on a surface. The coefficient of static friction is a scalar parameter and is represented as μs.

The coefficient of static friction can be calculated from the following expression as:

[tex]{\displaystyle \mu_s ={\frac{ F}{mg}[/tex]

Given, the force acting on the box = 6.5 N

The mass of the box, m = 1.80 Kg

The gravitational acceleration, g = 9.8m/s²

The coefficient of static fraction = 6.5/(1.80 ×9.8) = 0.368  

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What can you do to cause acceleration (positive or negative acceleration) in the objects in your table?

Answers

Answer: Acceleration is positive when a body speeds up and is negative when the body slows down.

Explanation: please don't hate me this is just my own opinion

Where does geothermal energy come from?
CHOOSE FROM THE FOLLOWING:
1. Energy directly from the sun
2. Energy from plants that used sunlight
3. Energy from the effect of the sun on the air and water
4. Energy is not originally from the sun

Answers

Answer:4.ENERGY IS NOT ORIGINALLY FROM THE SUN

Explanation: GEO -EARTH,THERMAL-HEAT

Geothermal energy is heat that is generated within the earth .it is a renewable resource. most of the earths geothermal energy does not bubbl e out as water or stream.

In an insulated vessel, a quantity of hot water at temperature T1 is mixed with a different quantity of cold water at temperature T2. After equilibrium is established, the vessel contains __________.
water only

Answers

An insulated vessel containing a quantity of hot water at temperature T₁  mixed with different amounts of cold water at temperature T₂, After equilibrium is established the vessel contains water at a mixture temperature between T₁ and T₂.

What is thermal equilibrium?

Thermal equilibrium is a state reached by two (or more) systems characterized by limited coordinate values of the systems after the systems interact with each other through the diathermic wall.

When hot water and cold water are mixed, heat will flow from hot water (higher temperature) to cold water (lower temperature). In other words, hot water "gives" heat to cold water or cold water "receives" heat from hot water.

The direction of heat transfer is from an object or place with a higher temperature to a place with a lower temperature. Temperature transfer occurs until temperature equality is achieved between the two objects.

Hot water has a higher temperature than cold water, so heat moves from hot water which provides heat, to cold water which absorbs heat.

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a force F=(4I+3J)N acts on the object of mass 2kg and drags it by moving the object from the origin to x=5m.find the work done on the object and the angle between the force nd the displacement

Answers

The work done on the object = 25 J

The angle between the force nd the displacement is 0° since the applied force is in positive x-direction.

What is work done?

Work, in physics, a measure of the transfer of energy that occurs when an object is moved a distance by an external force acting at least partially in the direction of displacement. For a constant force, work can be calculated by multiplying the length of the path by the component of the force acting along the path. Expressing this concept mathematically, the work W is equal to the force f multiplied by the distance d, or W = fd. If the force is applied at an angle θ to the displacement, the work done is W = fd cos θ. Working on an object involves not only moving the entire object from one place to another, but also, for example, compressing a gas, rotating a shaft, or causing invisible motion to particles within the object. is also done by External magnetic force on the body.

Force in x-direction = 4i

Force in y-direction = 3j

For resultant force (Fₙ):

Fₙ² = 4² + 3²

Fₙ² = 16 + 9

Fₙ² = 25

Fₙ = 5 N

Since, W = F × d × cosθ

Where, W = work done

F = Applied force (5 N)

d = Distance covered (5 m)

θ = Angle between force and displacement (0°)

W = 5 × 5 × 1

W = 25 J

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Beams of electrons and protons having the same linear momentum enter into an electric field normally, which one will deflect more and why?​

Answers

Answer:

Let their velocities at the time of entering the field be vp and ve. vp and ve are given perpendicular to electric field E. Let the field be prevailing over distance d in the direction of initial velocity of the beam.

Now, kinetic energy is same for electron and proton. Therefore,

(1/2)mpvp^2=(1/2)meve^2

So. in given distance, deflections for electrons and protons are same. Then, both trajectory will be equally curved.

(a) At Earth’s distance to the Sun, the incoming solar heat per unit area is about 1360
W/m2
. Only 70% of that is absorbed; the rest is reflected back to outer space. To get
the total heat absorption rate of the earth, you will need to multiply the absorbed heat
per area with one of the following:
(i) The total surface area of the Earth
(ii) Half the surface area of the Earth
(iii) The cross-sectional area of the Earth
(iv) Half the cross-sectional area of the Earth
Pick one and briefly explain why it is correct. (You may want to draw a small diagram;
hint: the sun’s rays are are not perpendicular to the surface everywhere.) Then calculate
the total heat absorption rate of the Earth.

(b) If the Earth is not to heat up or cool down, it must transfer heat to outer space at a rate
equal to what it absorbs from the Sun. Assuming that Earth is a blackbody with e = 1,
calculate the surface temperature of the Earth.

(c) Compare the temperature you found to the actual surface temperatures you find on
Earth. What major assumption in your calculation needs to be corrected, so that you
get an answer closer to reality?
(a) Earth has e ≈ 12.
(b) Convection and conduction has to be accounted for.
(c) Earth is not a perfect sphere.
(d) Earth has an atmosphere.
(e) The polar ice caps don’t contribute to radiation.
Explain your choice:

Answers

The atmosphere directly facing to the Sun is about 1,360 watts per squares meter.

What is distance?

Distance is the total movement of an object without any regard to ratio.

We can defined distance as  to be the magnitude or size  of the  displacemnt between two positions. Note that there are distance between the  two positions is not the same as the distance of the traveled between them. Distance traveled is the total of the  length of the path traveled between two are  positions. Distanced traveled is not a vector.

At Earth's average distances from the Sun (about 150 million kilometers), the

average intensity of solar by  its  energy reaching the top of the atmosphere directly to the  facing the Sun is about 1,360 watts per square square meter, according to measurements of the made by the most of the  recent NASA satellites missions.

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True or False: because the poles of uranus spend 42 years in darkness, the temperatures between the northern and southern hemispheres of uranus differ by as much as hundreds of kelvins, depending on where uranus is in its orbit.

Answers

The statement that states because the poles of Uranus spend 42 years in darkness, the temperatures between the northern and southern hemispheres of Uranus differ by as much as hundreds of kelvins, depending on where Uranus is in its orbit is false.

Why does Uranus have 42 years of daylight?

Uranus is notable for its massive 98-degree tilt on its axis. It is essentially lying on its side, with the poles receiving direct sunshine. Extreme seasons result, and when the Sun rises at one of the poles, that pole receives direct sunlight for 42 years.

What is the temperature of Uranus?

The temperature of Uranus averages minus 320 degrees Fahrenheit (-195 degrees Celsius), according to NASA. Uranus holds the record for the coldest temperature ever measured in the solar system — minus 371.56 degrees F.

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In this circuit, the following values apply:
What is the current (in Amps) through R4?

Answers

In this circuit, the current (in Amperes) flowing through the resistor 4 , that is, R4 is 10 Ampere.

Explain what is ampere.

Ampere is named after the French Physicist and Mathematician Andre-Marie Ampere. One ampere of current represents one coulomb of electrical charge, i.e. 6.24×1018 charge carriers, moving in one second. In other words, “an ampere is the amount of current produced by the force of one volt acting through a resistance of one ohm”.

An ampere is an electrical current that is equal to 1019 elementary charges moving every 1.602176634 seconds or 6.2415090741018 elementary charges moving in a second, as of the 2019 redefinition of the SI base units. This definition was achieved by fixing the elementary charge e to be exactly 1.6021766341019 C (coulomb), which means an ampere is an electrical current.

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a nurse is teaching the guardian of an infant who has congestive heart failure about methods to preserve energy during bottle feeding. Which of the following statements by the guardian indicates a clear understanding of the teaching? a. I will feed my baby every 2 hours b. I will allow my baby to suck for 45 minutes during each feeding c. I will use a low-calorie formula for my baby's feeding d. I will stroke my baby's cheek during feeding 6

Answers

1) Babies with congenital heart disease and congestive heart failure tend to tire very quickly, making breastfeeding difficult. It is represented by the suck, rest, suck cycle, which is equivalent to dyspnea on exertion in adults. Since the baby cannot suck for a long time and is very tired for some time after sucking, the feeding is not maintained well and the baby does not gain weight and manifests as stunted growth. To do so, you need to feed your child more often. The nurse tells the patient to breastfeed more often, usually every two hours. This ensures that the child is well fed and also allows the child to wake her up every two hours to breastfeed at night. Bottle feeding is done in a similar way.

Breastfeeding is usually 8-12 times a day, and if the child has at least 6-8 wet diapers and is consistently gaining weight, breast milk or bottle feeding should be sufficient. can be assumed to exist.

Do not breastfeed for a long time at a time as this will tire your baby.

When using formula foods, high calorie foods should be used so that children can get more energy with less effort.

2) frequent negative responses.

A 2 year old child usually demands too often for  things and they want what they want when they want .

It's also an age when they understand themselves as different individuals. They become less dependent more emotionally labile and  may give frequent negative responses.

3) I should limit the use of fingers of broken arm .

Broken arms are splinted so that they get adequate rest to to heal the fracture and wound.

The use of the particular arm have to be reduced.

It is usuall to have a mild swelling of the fingers for initial some days but it should not last for longer.

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A coil with a self-induction coefficient of 0.1Hi and an ohmic resistance of 51 ohms is connected to an AC voltage source of 240 V and a frequency of 50 Hz. What is the effective current flowing through the coil?

Answers

The effective current flowing through the coil is 53.1°.

What is current?

Current is the rate of flow of electrons in a conductor. Current, any movement of charge carriers. B. Subatomic charged particles (z is understood to be a positive particle).

Current in a wire where the charge carriers are electrons is a measure of the amount of charge that passes through any point on the wire per unit time. In alternating current, the charge movement is periodically reversed. Not so with direct current. The direction of current flow in electrical circuits is often taken to be the direction of positive charge flow, which is opposite to the actual electron drift. A current defined in this way is called a conventional current.

As per the question the

Inductance =0.1H

Series of placed across=200v

AC=50HZ

We have to find the current in the circuit and phase angle between current and voltage.

XL=WL

= 2×3×50×0.1

XL= 30 ohm

Z= √R²+(Xc-Xl)²

√(12)²+(30-14)² = 20

(i) l=Eu/z

=200/20

=10 A

Tan = 30-14/2

Tan = 1.33

= Tan⁻¹(1.33)

=53.1° C

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A body of mass 1 kg has weight 10N at a certain place. What is the weight of 100g, ​

Answers

Hello,

I hope you and your family are doing well!

The weight of an object is the force exerted on the object due to gravity, and it is calculated as the mass of the object multiplied by the acceleration due to gravity. In this case, we are given that the weight of a 1 kg mass is 10 N at a certain place, which means that the acceleration due to gravity at that place is 10 N/kg.

If we want to find the weight of a 100 g mass at that place, we can use the same equation:

Weight = Mass * Acceleration due to gravity

In this case, the mass is 100 g, which is equivalent to 0.1 kg. Therefore, the weight of the 100 g mass is:

Weight = (0.1 kg) * (10 N/kg)

= 1 N

Thus, the weight of a 100 g mass at the given place is 1 N.

--

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Happy Holidays!

List 2 ways in which humans may cause land to erode faster than it would naturally.

Answers

Answer:

Deforestation

Construction and recreational activities

A 2.30kg hoop 2.20m in diameter is rolling to the right without slipping on a horizontal floor at a steady 3.00rad/s .
Part A
How fast is its center moving?
Part B
What is the total kinetic energy of the hoop?
Part C
Find the magnitude of the velocity vector of each of the following points, as viewed by a person at rest on the ground: (i) the highest point on the hoop; (ii) the lowest point on the hoop, (iii) a point on the right side of the hoop, midway between the top and the bottom.
Separate your answers by commas.
Part E
Find the magnitude of the velocity vector for each of the points in part (C), except as viewed by someone moving along with same velocity as the hoop.
Separate your answers by commas.

Answers

velocity defines the route of the movement of the body or the object. pace is generally a scalar quantity. speed is essentially a vector quantity. it's far the rate of change of distance. it's miles the charge of exchange of displacement.

The diameter is the length of the road via the middle that touches factors on the threshold of the circle.

The distance from the centre to any factor at the floor is referred to as the radius. similarly, the gap from one point on the floor of a circle to the other point at the floor of the circle through the centre is called the diameter. In different words, the diameter is double the radius.

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radio telescopes are generally than visible-light telescopes. much more expensive much smaller much larger located at much higher altitudes

Answers

Generally speaking, radio telescopes are much larger than visible-light telescopes.

What is a telescope?

Astronomers use a telescope to observe distant things. Curved mirrors are used by the majority of telescopes, including all large telescopes, to collect and concentrate light as from night sky. To focus light, the first telescopes used lenses, which are just twisted pieces of clear glass.

What are the telescopes used for?

The light emitted by distant objects is collected and magnified using telescopes. Observing things with in night sky presents challenges since they are far out and, as a result, appear so dim. We can perceive these things more clearly the more light a telescope can gather.

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An owl eats its prey whole or in large pieces. Summarize what is found in an owl pellet and why it is regurgitated

Answers

Teeth, bones, fur, and exoskeletons are found in an owl pellet.

What are owl pellets?

Owls consume their prey whole or in huge chunks, but they are unable to digest hair, teeth, bones, or feathers. Owls, like other birds, have two stomach chambers. All of the edible elements of an owl's diet are liquefied in the first chamber, the glandular stomach or proventriculus.

Teeth, bones, hair, and exoskeletons of prey cannot be broken down by an owl's digestive system. These prey pieces are compacted into an owl pellet. This substance is regurgitated by the owl so that it can exit the owl's stomach.

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Answer:

Sample response: An owl’s digestive system cannot break down parts of the prey such as teeth, bones, fur, and exoskeletons. These parts of the prey are compressed into an owl pellet. The owl regurgitates this material so that it can leave the owl’s stomach.

Explanation:) have a great day hope this helps

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An object is accelerating at a rate of 8m/s^2 when it suddenly has a mass decreased by a factor of 4

Answers

Answer:

acceleration = 16 m/s²

Explanation:

According to Newton's second law of motion, acceleration of an object is directly proportional to the net force acting on it keeping the mass of the object constant.

Mathematically,

F ∝ a

It means that When there is no net force acting on the body, there is no acceleration. A force is a push or a pull, and the net force ΣF is the total force, or sum of the forces exerted on an object in all directions. When the net force is increased or decreased by a factor of X, then acceleration also increased or decreased by a factor of X respectively according to Newton's 2nd law of motion. In our case, net force increased by a factor of 2, So acceleration must also increased by a factor of 2.

F = ma

F = 8m N

2F = 16m N

So,

acceleration = 16 m/s²

In the circuit below, identify how the resistors are connected and then identify the quantity that must always be the same for these resistors.

Answers

In the circuit below, the resistors are connected in the series combination and the battery is parallel to the resistor.

What is circuit?

Circuit is defined as a closed circuit or route that connects electrical parts and permits the movement of electrons.  The term "circuit" can broadly be used to describe any ongoing path via which electricity, data, or a signal might go.

The current flowing through each resistor when two resistors are linked in series is the same. The two resistors divide the voltage from the battery. More resistors in a series circuit increase total resistance, which reduces current.

Thus, in the circuit below, the resistors are connected in the series combination and the battery is parallel to the resistor.

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Part A In the figure, a conducting rod is shown moving in a uniform magnetic field. Which of the following statements are true? X X X X X Check all that apply. O The magnitude of the potential difference in the rod is inversely proportional to the length of the rod. O The magnitude of the potential difference in the rod is proportional to the velocity vof the rod. O The magnitude of the potential difference in the rod is proportional to the strength of the magnetic field. O The free charges in the rod are acted upon by a magnetic force. O An electric field is established in the rod directed from point a to point b.

Answers

An electric field is established in the rod directed from point a to point b and  The free charges in the rod are acted upon by a magnetic force.

How does a magnetic field work?

While opposed poles are pulled to one another, like poles repel one another. When the air is pushed against a magnet, the atoms' north-seeking poles align in the same direction. The force generated by the aligned atoms creates a magnetic field.

Why is a magnetic field necessary?

The magnetic field, produced by the whirling of molten material in the Earth's core, protects our planet from solar radiation and energetic particles from the Sun. Additionally, it provides the structure for compass navigation. When the magnetization surrounds a magnet or perhaps a line carrying a steady electrical charge in a single path, it is referred to with a static electrical field and is stationary.

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Based on many surveys of the average density of matter in the universe (regular matter and dark matter), astronomers now conclude that the average density of the universe is
a. less than the critical density
b. exactly equal to the critical density
c. more than the critical density
d. essentially equal to zero
e. so great that the universe will experience a "big crunch" before the Sun becomes a red giant
b.

Answers

The answer is B i.e., exactly equal to the critical density.

What is critical density?

"Critical density" is the average density of matter required for the universe to stop expanding after an infinite amount of time. The critical density universe is said to be flat.

In General Relativity, Einstein showed that the gravitational effects of matter should bend the space around it. In a matter-filled universe, both its overall shape and fate are determined by the density of matter contained.

If the universe has a high matter density (a closed universe), self-gravity will stop the expansion and slow it down until it eventually collapses again. In a closed universe, locally parallel rays converge to a very distant point. This is called spherical geometry.

If the universe has a low matter density (an open universe), there is not enough self-gravity to stop the expansion, and the universe will continue to expand forever (albeit at a slower and slower rate). Finally, in an open universe, locally parallel rays diverge. This is called hyperbolic geometry.

There is a universe where parallel rays remain parallel, balanced by a knife blade between a high matter density universe and a low matter density universe. This is called flat geometry and its density is called "critical density". In a critical density universe, it takes an infinite amount of time to stop expanding.

Therefore, The answer is B i.e., exactly equal to the critical density.

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A compact car has a maximum acceleration of 5.0 m/s2 when it carries only the driver and has a total mass of 1300 kg .What is its maximum acceleration after picking up four passengers and their luggage, adding an additional 400 kg of mass?

Answers

3.82 m/sec²  is its maximum acceleration after picking up four passengers and their luggage, adding an additional 400 kg of mass.

What is a acceleration explain?

The rate during which speed and the direction and velocity change over time is referred to as acceleration. When something accelerates or decelerates, it rushes toward something that is moving straight ahead.

Briefing:

F = m . a ;

(F - Force; m - mass and a - acceleration);

given in the problem; mass (1) - 1300 kg; acceleration (1) - 5 m/sec²

So, on substituting we get,

F = m1a1 = 1300 X 5 = 6500 N;

we get

F = 6500 N

Now that mass 400 kg has been added, mass (2) equals 6500 kg, and acceleration must be determined;

Since the force is constant in this case, it can be compared;

m[tex]_1[/tex]a[tex]_1[/tex] = m[tex]_2[/tex]a[tex]_2[/tex] ;

So, 1300 X 5 = (1300 + 400) x a[tex]_2[/tex]

Therefore, the answer will be a[tex]_2[/tex]= 3.82 m/sec²

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. Ebo throws a ball into the air. Its velocity at the start is 18 m/s at an angle of 37° to the ground. a) Express the initial velocity in component vector form. b) Work out the velocity of the ball as it lands. Give your answer in component vector form. c) Work out the range of the ball. d) What assumptions have been made about the frame of reference?​

Answers

(a) The initial velocity in component vector form is (14.38 i + 10.83 j), m/s.

(b) The velocity of the ball as it lands in component vector form is (14.38 i + 10.88 j), m/s.

(c) The range of the ball is 31.78 m.

(d)  The assumption made is that the frame of reference is at ground level.

What is velocity?

Velocity is described as the directional speed of an object in motion as an indication of its rate of change in position as observed from a particular frame of reference and as measured by a particular standard of time.

The component form for the velocity are:

Vx = V cosθ

Vy = V sinθ

We then have Vx = 18 m/s  x  cos(37) = 14.38 i, m/s

Vy = 18 m/s x sin(37) = 10.83 j, m/s

Vi= (14.38 i + 10.83 j), m/s

Using projectiles, we can get the other values

t = (Vsinθ)/g

working out t = 1.11 secs

The final vertical velocity of the ball is given as:

Vf = Vh + gt

where;

Vf is the final vertical velocity

Vh is the velocity of the ball at maximum height = 0

t is time to reach maximum height

Vf = 0 + 1.11 x 9.8

Vf = 10.88 m/s

The velocity of the ball in component vector form is written as:

Vf = (Vxf + Vyf), m/s

Vf = (14.38 i   +   10.88 j), m/s

The range of the ball is calculated as;

Range = (V²sin2θ)/g

Range = 31.78 m

Therefore the assumption that have been made about the frame of reference is that it was projected from a ground level and returned to the same ground level.

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A box of mass m slides down a frictionless inclined plane of length L and vertical height h. What is the change in its gravitational potential energy?
A. -mgL
B. -mgh
C. -mgL/h
D. -mgh/L

Answers

The change in its gravitational potential energy is -mgh and Gravitational potential energy depends on the reference level.

The gravitational force is of course vertically downwards F = mg . To raise a mass m, we must apply an upward force −F, balancing gravity, so the net force on the body is zero and it can move upwards at a steady speed (ignoring air resistance, of course, and assuming we gave it a tiny extra push to get it going).

Applying the steady force −F as the mass moves a small distance takes work − F.Δr , and to raise the mass m through a height h takes work mgh. This energy is stored and then, when the object falls, released as kinetic energy. For this reason it is called potential energy, being “potential kinetic energy”.

That depends on how far we will allow the raised object to fall and convert its potential energy to kinetic energy—but the main point is it doesn’t matter where the zero is set, the quantity of physical interest is always a difference of potential energies between two heights—that’s how much kinetic energy is released when it falls from one height to the other.

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