A 2,400-kilogram car is traveling at a speed of 20. meters per second. Compared to the magnitude of the force required to stop the car in 12 seconds, the magnitude of the force required to stop the car in 6.0 seconds is (1) half as great(2) twice as great (3) the same (4) four times as great

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Answer 1

Compared to the magnitude of force required to stop the car in 12 seconds, magnitude of the force required to stop the car in 6.0 seconds is : (3) the same.

What is meant by force?

In physics, force is an influence that changes the motion of an object.

Force is : F = m * a, where m is mass of the object and a is acceleration.

Given, distance traveled is zero (the car stops), the initial velocity is 20 m/s and time is 12 seconds.

As, d = vt + (1/2)at^2

So, a = 2d/t^2 - v^2/d

a = 2*0/(12^2) - (20^2)/0 = 0 - 400/0 = undefined

a = 2*0/(6^2) - (20^2)/0 = 0 - 400/0 = undefined

As acceleration is undefined in both case, we say that the force required to stop the car in 6.0 seconds is same as force required to stop the car in 12 seconds.

So, answer is (3) the same.

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Related Questions

Which of the following is not a vector? O Torque O Linear momentum O Moment of inertia O Angular momentum

Answers

A vector is not a moment of inertia. A body's inertia is a quality that makes it resist attempts to set it in movement or, if it is already moving, then change the speed or direction of it.

Describe inertia using an example.

The resistance the body offers to remain in constant motion in the absence of an external force is known as the inertia of motion. For instance, the inertia of motion causes people to slide backward when a speeding bus suddenly stops.

What are inertia and the SI unit of it?

The quality of inertia is the incapacity of an object to alter its position or the conformation of a particular body. Kilo grammes are the SI unit of inertia because mass is a measurement of inertia. Kg m2 is the unit of inertia moment if you require one.

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Philosophy 203 how much importance do you think duty ought to have in relation to morality

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By separating actions that are motivated by obligation from those that are not, the first premise aids in the distinction between those actions that have moral value.

What is Mortality?

The first involves a salesman who, even though he is aware of the customer's inexperience, does not overcharge them because he does not want to risk damaging his reputation by being found out.

Because the salesman was not driven by a sense of obligation to treat the consumer fairly, Kant claims that this is not a moral issue.

The second claim is that "an action performed out of obligation has its moral significance not in the goal that it is intended to achieve.

Therefore, By separating actions that are motivated by obligation from those that are not, the first premise aids in the distinction between those actions that have moral value.

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A first solution is created by adding the maximum amount of Lead Nitrate that can be completely dissolved at 30°C to 10 grams of water. A second solution is created by raising the temperature to 60°C and adding the maximum amount of Lead Nitrate that can be completely dissolved. What is the percent increase in amount of lea nitrate from the first solution to the second?

Answers

The percent increase in amount of lead nitrate from the first solution to the second is 5.55%.

How does the temperature of lead nitrate affect its physical properties? As the temperature of lead nitrate increases, its physical properties change. At room temperature, lead nitrate is a white, odorless, crystalline solid. When heated, lead nitrate will decompose and form a yellow-brown powder of lead oxide and nitrogen dioxide. As the temperature continues to increase, the lead oxide will become molten and eventually vaporize, leaving behind a white, insoluble solid. At high temperatures, lead nitrate will react with moisture in the air to form a yellow-brown lead oxide and nitrogen dioxide gas. This gas can be dangerous if inhaled in large amounts, and can cause respiratory irritation. Additionally, the lead oxide can form a fine dust that is hazardous if inhaled. The melting point of lead nitrate is 305°C, and its boiling point is approximately 443°C. At temperatures above these, the physical properties of lead nitrate become increasingly unpredictable and can be hazardous.

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A baby crawls towards a toy. Its motion is shown on the following graph of horizontal position x vs time t

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The horizontal speed of the  baby is 0.25 m/s.

What is speed?

Speed is distance travelled by the object per unit time. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.

Initial position of the baby ( at t=0 s) is = 1 meter.

Final position of the bay ( at t = 8s) is = 3 meter.

Hence, speed of the  baby is = change in position/time interval

= (3 meter - 1 meter)/(8 s - 0s)

= (2 ÷ 8) m/s

= 0.25 m/s

Therefore, the horizontal speed of the  baby is 0.25 m/s.

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Your question is incomplete, but most probably the question was:

A baby crawls towards a toy. Its motion is shown on the following graph of horizontal position x vs time t. Find horizontal speed of the  baby?

which of the following statements are true? 1) kinetic energy is conserved. 2) linear momentum is conserved. 3) angular momentum of the stick puck is conserved about the center of mass of the combined system. 4) angular momentum of the stick puck is conserved about the (stationary) point where the collision occurs.

Answers

Linear momentum is conserved, and the angular momentum of the stick puck is conserved about the center of mass of the combined system. These statements are true.

2) True. Linear momentum is conserved in a collision as long as no external forces are acting on the system.

3) True. Angular momentum of the stick-puck system is conserved about the center of mass during the collision, as there are no external torques acting on the system.

In summary, while linear momentum is conserved in any collision (2), kinetic energy is only conserved in elastic collisions, and angular momentum is conserved about the center of mass in the absence of external torques (3).

Angular momentum is not necessarily conserved about the point of collision (4).

Therefore option 2and 3 is correct.

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d) How could you leave an electroscope charged after all other objects had been taken away?​

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An electroscope can be recharged by bringing a charged object near it without touching it.

What are some common methods for charging an electroscope?

There are several common methods for charging an electroscope, including: rubbing the electroscope with a cloth, using a static generator, or bringing the electroscope into contact with a charged object. Rubbing the electroscope with a cloth, such as silk or fur, is a simple method that transfers electrons from the cloth to the electroscope. Using a static generator, such as a Van de Graaff generator, can create a large charge on the electroscope. Bringing the electroscope into contact with a charged object, such as a charged rod or balloon, can also transfer charge to the electroscope. Additionally, some electroscopes are designed to be charged by simply turning a knob or flipping a switch.

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which of the following free-body diagrams could be used to analyze the forces exerted on the moon when it is at the position indicated in the figure? responses

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The choice with the gravity arrow pointing to the right, option F, is the correct diagram.

how does the moon go around a planet?A moon experiences the gravitational pull of a planet. The near side of the moon suffers a stronger pull than the far side, causing it to be drawn into a somewhat stretched form. Because of the moon's analogous differential attraction to the Earth, we have tides in the oceans.The gravitational force of the Moon and Earth caused this particular case of tidal locking (called synchronous rotation).One orbit of the Sun by the Earth takes 365 1/4 days, or one year. As the Earth rotates around the Sun, so does the Moon. The Moon spends 27 1/2 days in orbit.

The complete question is A moon orbits a planet in a nearly circular orbit of radius R, as shown in the figure.

Which of the following free-body diagrams could be used to analyze the forces exerted on the moon when it is at the position indicated in the figure?

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Remember that when solving radiation problems,we simplify things by measuring distancesbetween spheres center-to-center.It also helps (alot!) to make a sketch.Use the equations andconstants sheet (on Schoology) as you wish.1) We take the earth and put it into a press.ends up in the shape of a cube.We also slowdown its rotation so that one side always faces thesun. Assume that the temperature throughout thecube is uniform.a) Write an equation for the effective radiating temperature of a cube-shaped planet that has a flatside that always faces the sun.(hint: Through howmuch surface area does the cube absorb radiationrelative to the surface area through which it emitsradiation?)b)What is the effective radiating temperature ofour cubed Earth?Solve your above equation

Answers

a) The effective radiating temperature of a cube-shaped planet can be described by the equation: T_eff = (S_absorb / S_emit)^(1/4) * T_sun, where T_eff is the effective radiating temperature, S_absorb is the surface area through which the cube absorbs radiation, S_emit is the surface area through which the cube emits radiation, and T_sun is the temperature of the sun.

What is radiating temperature?The effective radiating temperature of a planet is a measure of the temperature at which the planet emits radiation to its surroundings. It can be determined by considering the ratio of the surface area through which the planet absorbs radiation to the surface area through which it emits radiation. This ratio can be represented by the equation T_eff = (S_absorb / S_emit)^(1/4) * T_sun, where T_eff is the effective radiating temperature, S_absorb is the surface area through which the planet absorbs radiation, S_emit is the surface area through which the planet emits radiation, and T_sun is the temperature of the sun. The fourth power in the formula shows that the temperature of the planet is highly dependent on the ratio of absorbed to emitted radiation.In the scenario described, the Earth has been transformed into a cube and one of its faces always facing the sun. The temperature throughout the cube is assumed to be uniform. To find the effective radiating temperature of this cubed Earth, we would need to know the specific values of S_absorb and S_emit. Without this information, it is not possible to determine the effective radiating temperature of the cubed Earth.

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when two forces are applied on an object from different direction what will be the resultant direction of the object

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If two forces are applied to an object in opposite directions, the net force is the difference between the two forces. This is because both forces in opposite directions cancel each other out.

When two forces of equal strength act in opposite directions on an object, the forces cancel, resulting in a net force of zero and no motion. Equal to the sum of two forces. If two unequal forces act on an object in opposite directions, the net force is the difference between the two forces. When two forces act on any two objects in opposite directions, the net force is the difference between the two forces

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Assuming that the initial pressure of X(2)(the 2 is at the bottom) was 0.10 bar, calculate the value of K for the decomposition.

Answers

The forward reaction and the reverse reaction have the same pace when a reaction is at equilibrium.

What is  a short review of equilibrium  and Kc?At equilibrium, the forward and backward reactions continue to take place while the concentrations of the reaction's constituents remain constant.For a reaction taking place at a specific temperature, the ratio of concentrations at equilibrium is defined by equilibrium constants. To denote equilibrium constants, we typically use the symbols KK or c K c K, start subscript, start text, c, end text, and end subscript. The subscript c in the symbol c K c K, start subscript, start text, c, end text, and end subscript denotes that all concentrations are stated in terms of molar concentration, or mol solute L of solution L of solution mol solute start.Divided by, start text, L, space, o, f, space, s, o, l, u, t, I o, n, end text, end fraction. start fraction, start text, m, o, l, space, s, o, l, u, t, e.

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a particle of mass m rests on a rough inclined plane that makes an angle with the horizontal if the coefficient of static friction find the least horizontal force acting transcerse to the slope of the plane that will cause the particle to move

Answers

So the least horizontal force that is required to cause the particle to move is:

F = μs * N = μs * mg * cos(θ)

Give explanation to support your answer.

The coefficient of static friction, s, multiplied by the normal force, N, exerted on the particle results in the minimum horizontal force, F, needed to move it.

The weight of the particle, mg, multiplied by the cosine of the angle of inclination,, results in the normal force, N:

N= mg*cos()

Therefore, the smallest horizontal force needed to move the particle is:

F = sin(s*N) = sin(s*mg*cos(s))

It is significant to remember that the substance of the particle as well as the plane affects the coefficient of static friction, which is a dimensionless number with a value between 0 and 1.

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As the two atoms get attracted more to one another due to them having a higher attractive force so they will have an attractive force. they will eventually reach a point where they will have a higher repulsive force and repulse one another so they change into a repulsive force. True or False

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Two atoms get attracted more to one another due to them having a higher attractive force so they will have an attractive force.Atom will eventually reach a point where they will have a higher repulsive force and repulse one another so they change into a repulsive force.Yes it is true .

Covalent bonding occurs when each atom shares its electrons to form a chemical bond, which results in a force of attraction or repulsion. Two nonmetal atoms are shown to form a covalent bond. When electrons are shared between two atoms or an ion, covalent bonds are created. The molecular bond is another name for the covalent bonds that are created. Covalent bonding is the force of attraction or repulsion between two atoms when they share a pair of electrons.When they are bound together and when they are separated, the majority of the atoms have lower potential energy. Consider two isolated hydrogen atoms that are sufficiently distanced from one another to avoid any contact between them. Potential energy is equal to zero at this point.

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Optical fibers can provide people with natural sunlight for free, but what are some disadvantages to using optical fibers to light a
room with sunlight?

Answers

The advantages are Optical fibers can be expensive to install and maintain. They require a direct line of sight to the sun, which may be blocked by tall buildings or trees. Without proper insulation, the light can be very hot and create a fire hazard.

What is Optical fibers?

Optical fibers are thin strands of material, usually glass or plastic, that are used to transmit light signals over long distances. Optical fibers can be used for a variety of applications, including telecommunications, medical imaging, and sensing.

The light from optical fibers is very directional, so it can be hard to evenly distribute the light around a room. Optical fibers can be prone to breakage from natural disasters or other causes.

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enrique is given information about what causes a satellite to move tangentially to a circular path? air resistance friction inertia gravitya satellite orbiting earth. r

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Because of the inertia of the satellite's motion, it will proceed tangentially to its circular orbit at the same speed, or V.

The satellite will deviate from its course with its tangential velocity because there won't be any centripetal force to keep it in a circular orbit in the absence of gravitational force. Accelerations at the centripetal axis are produced by centripetal forces. Any satellite's circular motion around a celestial body, with the exception of the Earth's rotation around the Sun, is caused by the centripetal force generated by their mutual gravitational attraction. Over the course of an orbit, tangential speed varies. The satellite's velocity and centripetal force are at right angles. With growing satellite separation from Earth, tangential speed rises. Centripetal force may occasionally slow.

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a block of weight w is pulled across a rough floor by a rope that exerts a force t on the block. the frictional force between the floor and the block is f. which of the following expressions equals the frictional force f when the block moves with a constant speed?

Answers

The net force is zero because it is moving at a constant speed. So, in the horizontal direction = 0. This will happen if the horizontal component of T, Tcos0 is equal to the frictional force.

What do you mean by frictional force?

It acts in a direction that is opposite to the motion or attempted motion of an object. Frictional force is caused by the microscopic irregularities on the surfaces that are in contact. The strength of the frictional force depends on the types of materials in contact and the amount of force pressing the two surfaces together.

An example of friction is when you try to slide a book across a table. The table exerts a frictional force on the book in the opposite direction of the motion, making it harder to slide the book. Another example is when you try to walk on a slippery surface, such as ice, the friction between your shoes and the ice is reduced, making it harder to walk. Friction also plays a role in many everyday activities such as driving a car, using a pencil, and even typing on a keyboard.

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1. the time response of the coil current after the switch s is closed, as a function of the precharge voltage vx. (some types of stimulation require a field with a fast rise time and a slow fall time.)

Answers

Pre-charge circuits typically shut off pre-charge mode when the circuit voltage reaches 90% or 95% of the operating voltage. When pre-charging is finished, the pre-charge resistance is disconnected from the power supply circuit and switched back to a low-impedance power source for normal mode.

A current-limiting circuit known as pre-charge reduces the charging rate of the bus capacitors during power-up in a pulse width modulated (or PWM) VFD. (For more information on bus capacitors, go HERE) The input power devices would be harmed otherwise by the early inrush. To control this inrush current and gradually charge the downstream capacitance, a precharge circuit is employed. For components to function properly and be protected in high-voltage applications, it is essential.

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In the circuit shown above, the switch S is open, the capacitor is uncharged, and the current through the battery is 0.5 A At what time is the current through the resistor in the middle branch 0.5 A?
O Immediately after the switch is closed B O When the circuit has reached steady state O Sometime between when the switch is closed and steady state is reached O At no time In which switch position, open or closed, can the current be the same in the left and right branches, and why? O Neither position, because the resistors in these branches have different resistances. O Both positions, because the current in the middle branch will be zero at some time for both positions. O Only when the switch is open, because then the resistors are in series. O Only immediately after the switch is closed, because then the equivalent resistance of the middle and right branches equals that of the left branch. What is the charge on the capacitor a long time after the switch is closed? A 1.0 μC B.1.5 μC C. 25 μC D 37.5 μC

Answers

Answer 1:-(D) at no time is the current through the resistor in the middle branch 0.5 A

Because whenever the switch is just closed, both branches share the same resistance and a current of 0.25 A flows. Following that, the current in the middle branch will decrease as time passes.

Answer 2:-(C) only when switch is open because then both resistor are in series.

Answer 3:-25 μC is the charge on the capacitor a long time after the switch is closed

When connected to a battery, a capacitor conducts for a brief time before becoming an open circuit. A transitory current flows when the capacitor plates charge when an uncharged capacitor C is linked to a potential V battery.

When connected to a battery, a capacitor conducts for a brief time before becoming an open circuit. A transitory current flows when the capacitor plates charge when an uncharged capacitor C is linked to a potential V battery.

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puck with initial velocity Vo slides up and down a long; frictionless inclined plane, as seen below: Which of the following is true regarding the motion of the puck? It has a smaller acceleration while moving up the plane and a greater acceleration when moving down the plane It has a constant acceleration while moving up the plane and smaller acceleration when moving down the plane_ It moves with constant velocity both up and down the plane It has the same acceleration as it moves up and down the plane It has continually varying acceleration as it moves up and down the plane:

Answers

It will accelerate continuously. The acceleration put on by gravity will be that. Thus, correct option is: It has the same acceleration as it moves up and down the plane.

What is gravity?

The force that pulls items toward the centre of a planetary or other body is known as gravity. The gravitational pull maintains each of the planet in orbit about the sun. The degree to which a coordinate in space-time is invisibly bent determines the intensity of the gravitational "field" at any given place in space or time. Massive items tumble down these bends in the direction of one another. The stronger the attraction between items, the more matter there is, and the closer together things are. And unlike electricity and magnetism, which may either repel or attract, gravity always draws objects together.

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The complete question is as follows:

In 2017, NASA announced that _______ is the most likely place in our solar system to find extraterrestrial life, due to its abundant water and geothermal activity.

Answers

One of Saturn's moons, Enceladus

During a certain time interval, the net work done on an object is zero joules. We can be certain that ____.the object was at rest at the end of this intervalthe object’s final speed was the same as its initial speedthe object was at rest during this entire interval

Answers

During a certain time interval, the net work done on an object is zero joules. We can be certain that the object's final speed was the same as its initial speed.

What is speed?

Velocity is the rate and direction of an object's movement, whereas speed is the time rate at which an object is moving along a path. In other words, velocity is a vector, whereas speed is a scalar value. the speed at which an object's position changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. The rate at which a distance changes over time is referred to as speed. It has a dimension of time-distance. As a result, the basic unit of time and the basic unit of distance are combined to form the SI unit of speed. Thus, the metre per second (m/s) is the SI unit of speed.

Here,

The net work performed on an object during a specific time period is zero joules. The object's final speed was definitely the same as its starting speed, according to our calculations.

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a block of mass 0.10kg is attached and secured to one end of a spring with spring constant 50nm. the other end of the spring is secured to a wall. the block is pushed against the spring, which compresses the spring to a position of x

Answers

The block has maximum speed at 0.00 m, The friction  block has half the initial spring potential energy at = -0.025 m

The correct answer is B,C

Friction between two lines is what?

The force preventing solid surfaces, liquid layers, and sliding material components from moving in the same direction is known as friction. Friction can take many different forms: The relative lateral movement of two solid surfaces that are in contact is opposed by dry friction.

We have given the Force Constant of spring K= 50 N/m.

At x=-0.02 m, Force =-kx

F= -(-0.02\times 50)= 1N Hence Option (A) will be correct.

A ND also  block has maximum speed at x=0m at equilibrium position because

All the  potential Energy get converted to Kinetic Energy.  

What do you mean by frictional force?

The opposing force that causes two surfaces to move in that direction or in the opposite direction when they come into contact is called frictional force. Since it is a force which resists or resists the movement of something when it comes into contact with another object and slides against it,

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The correct question is

A block of mass 0.10 kg is attached and secured to one end of a spring with spring constant 50. The other end of the spring is secured to a wall. The block is pushed against the spring, which compresses the spring to a position of z=-0.04 m. When uncompressed, the end of the spring that is attached to the block is at a position of = 0.00 m. The block-spring system is then released from rest, and the block travels along a horizontal, rough track. A motion sensor is placed so that it measures the velocity of the object as it slides along the track. A graph of total mechanical energy of the block-spring system as a function of position is shown. Which of the following statements about the block-spring system are true? Select two answers.

A-The force exerted on the block by the spring at z=-0.02 m is 1 N.

B-The block has maximum speed at 0.00 m.

C-The block has half the initial spring potential energy at = -0.025 m

D-The work done by friction as the block travels from -0.04 m to -0.02 m is 0.01 J.

Hegskdvs a CB sksbslsvskssvsi

Answers

The correct examples of cause-and-effect relationship are both the systems speed up for the duration of the force exerted on them. Both systems stop moving for the duration of the force exerted on them. Thus, the correct options are C, D, E, and G.

What is Cause and effect relationship?

Cause-and-effect relationship describes a relationship which is present between actions or events in which at least one of the action or event is a direct result of the other action or events.

The correct examples of cause-and-effect relationship are both the systems speed up for the duration of the force exerted on them. Both systems stop moving for the duration of the force exerted on them. A spring can exert a force on the dynamic cart. The force of the spring continues to act upon the cart until it stops moving.

Therefore, the correct options are C, D, E, and G.

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Two identical conducting sphere, fixed in place, attract each other with an electrostatic force of 0.108 N when their center-to-center separation is 50.0 cm. The sphere are then connected by a thin conducing wire. When the wire is removed, the sphere repel each other with an electrostatic force of 0.0360 N. Of the initial charges on the sphere, with a positive net charge, what was the negative charge on one of them?

Answers

The negative charge on one of the identical spheres in a pair of conducting, fixed, and attracted to each other by an electrostatic force spheres is -1.00*10^-6 C. We can calculate this using Coulomb's law.

We can begin by using Coulomb's law, which states that the electrostatic force between two charges is proportional to the product of the charges and inversely proportional to the square of the distance between them.

Coulomb's law can be mathematically written as:

F = k * (q1 * q2) / r^2

where F is the force, k is the Coulomb constant, q1 and q2 are the charges on the two spheres, and r is the distance between their centers.

Given that the force of attraction is 0.108 N when the spheres are 50.0 cm apart, we can use the Coulomb's law to find the product of the charges on the spheres.

0.108 N = (9 * 10^9 N*m^2/C^2) * (q1 * q2) / (0.50 m)^2

The product of the charges on the two spheres is q1q2 = (0.108 N * (0.50 m)^2) / (9 * 10^9 Nm^2/C^2) = 1.2 * 10^-7 C^2

We can use this value to find the charges on the spheres when they are connected by a thin conducting wire and repelling each other with an electrostatic force of 0.0360 N.

0.0360 N = (9 * 10^9 N*m^2/C^2) * (q1 * q2) / (0.50 m)^2

q1q2 = (0.0360 N * (0.50 m)^2) / (9 * 10^9 Nm^2/C^2) = 4.0 * 10^-8 C^2

Since the product of the charges q1*q2 is now smaller, we can assume that one of the charges (let's say q1) is now smaller and the other charge (q2) is now bigger, hence have opposite charges.

We can use the formula q1q2 = 1.210^-7 C^2 / 4.0*10^-8 C^2 = 3q1q2

q2 = 3q1 and q1q2 = 4*10^-8 C^2

Substituting, we get q1 = (410^-8 C^2) / 3q1 = 1.3310^-8 C

The negative charge on one of the sphere is 1.33*10^-8 C

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when a positively-charged proton is near a negatively-charged electron, which of the following will occur?

Answers

When a positively-charged proton is near a negatively-charged electron, The particles attracts each other due to electromagnetism .

What is electromagnetism in particles?

Electromagnetism is the interaction of charged particles with electromagnetic fields in physics. One of the four fundamental forces of nature is the electromagnetic force. It is the dominant force in interactions between atoms and molecules. You can think of electromagnetism as a combination of electrostatics and magnetism, two separate but intertwined phenomena.

While magnetism is an interaction that only happens between charged particles in relative motion, electromagnetic forces happen between any two charged particles, causing an attraction between particles with opposite charges and a repulsion between particles with the same charge.

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Complete question:

When a positively-charged proton is near a negatively-charged electron, which of the following will occur

The particles attracts each otherThe particles repulses each otherThe particles become compoundThe particles are destroyed

which of the following best represents the minimum coefficient of static friction required for the race card to continue to follow the circular path shown?

Answers

The following best represents the minimum coefficient of static friction required for the race card to continue following the circular path shown. μ[tex]_{s}[/tex]=v²/Rg

N cosθ=mg

N sinθ=mv²/R

So,

Tanθ=v²/Rg=μ[tex]_{s}[/tex]

So,

μ[tex]_{s}[/tex]=v²/Rg

Static friction is a force that keeps an object at rest.

The friction felt when attempting to move a stationary object on a surface without causing any relative motion between the body and the surface.

It can be defined as the force of friction that precisely balances the applied force for the duration of the body's stationary state.

The static frictional force is self-regulating, which means that it will always be equivalent and opposite to the force applied.

Static friction occurs when individuals attempt to move a stationary object on a surface without actually causing any relative motion between the body and the surface.

The correct question is:

Which of the following best represents the minimum coefficient of static friction required for the race car to continue to follow the circular path shown?

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The complete question is:

which of the following best represents the minimum coefficient of static friction required for the race card to continue to follow the circular path shown?

A) Rg/V²

B) Mv²/R

C) v²/g

D) v²/Rg

E) v²/2Rg

PLEASE HELP ASAP! 100 PTS! 5 QUESTIONS - Pls Show Your Work!!!!
1. Two carts are pushed apart with a spring attached to one of the carts. The carts have masses of 1.2 kg and 2.5 kg. The 2.5 kg cart (Cart B) has a velocity of 1.5 m/s after they spring apart. Find the velocity of the 1.2 kg. cart.


2. An 6,000 kg train car moves at 20.0 m/s until it bumps into a stationary 6,000 kg car and latches onto it. What is the speed of the two cars linked together?


3. A single 1,000 kg train car moving at 5.0 m/s collides with the back of two 1,000 kg train cars linked together. It latches onto the car it strikes as the two parts of the coupled cars exert forces on each other. What is the speed of the cars immediately afterward?


4. A 15.0 kg cart and a 20 kg cart are locked together with a compressed spring between them. They are then released so that the spring pushes the two carts apart. The 20 kg cart is moving at 5.0 m/s afterward. How fast is the 15.0 kg cart moving?


5. A firecracker stuck into a 150 g apple explodes and sends five apple fragments in different directions. The vector sum of momenta 1, 2, 3, and 4 is found from a video of the event to have components px = 1.20 kg m/s, py = 0.80 kg m/s (with no other component). The mass of the fifth fragment is 0.050 kg. What is its velocity right after the explosion?

Answers

The final velocity of the 1.2 Kg cart is  3.1 m/s. The final velocity of the coupled mass of cars can be determined using the conservation of momentum. The final velocity is 10 m/s.

What is momentum ?

Momentum of an object is the product of mass and velocity of the object. In a collision, the total momentum is conserved.

Here, initially the carts were rest. Hence, their initial momentum is zero.

then  (1.2 kg × v) + (2.5 kg × 1.5 m/s) = 0

then , velocity of 1.2 kg = (2.5 × 1.5)/1.2 = 3.1 m/s.

Similarly the total initial momentum of the two car of mass 6000 kg is equal to the their final momentum.

The initial momentum of the stationary car is  zero.

then (6000 kg × 20 m/s) + 0 = (6000 + 6000 kg)v.

The final velocity of the coupled mass v is then calculated as:

v =  (6000 kg × 20 m/s)/12000 kg = 10 m/s.

Therefore, the final velocity of the coupled mass will be 10 m/s.

Using conservation of momentum concept all others can be found.

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A 0.060 kg tennis ball, moving with a speed of 5.50 m/s, has a head-on collision with a 0.090 kg ball initially moving in the same direction at a speed of 3.00 m/s. Assuming a perfectly elastic collision, determine the speed and direction of each ball after the collision.

Answers

The speed and direction of each ball after the collision is :

a) Speed of the first ball after the collision = 2.5 m/s  same initial direction

b) Speed of the second ball after the collision = 5.0 m/s  same initial direction

A collision in physics is any situation in which two or more bodies quickly exert forces on one another. Despite the fact that the most common usage of the word "collision" refers to situations in which two or more objects clash violently, the scientific usage of the word makes no such assumptions.

Let us consider the initial direction of velocity of the first ball as the right side which we will take to be positive.

The second ball is moving in the same direction as that of the first ball therefore it's velocity is also directed to the right.

Mass of the first ball = [tex]M_{1}[/tex] = 0.06 kg

Mass of the second ball = [tex]M_{2}[/tex] = 0.09 kg

Initial velocity of the first ball = [tex]V_{1}[/tex] = 5.5 m/s

Initial velocity of the second ball =[tex]V_{2}[/tex] = 3 m/s

Velocity of the first ball after the collision = [tex]V_{3}[/tex]

Velocity of the second ball after the collision = [tex]V_{4}[/tex]

The collision is elastic.

Coefficient of restitution = e = 1

e = [tex]\frac{V_{4} - V_{3}}{V_{1} - V_{2}}[/tex]

1 =[tex]\frac{V_{4} - V_{3}}{5.5 - 3}[/tex]

2.5 =[tex]V_{4} - V_{3}[/tex]

[tex]V_{4} = V_{3} + 2.5[/tex]

By conservation of linear momentum,

[tex]m_{1}V_{1} + m_{2}V_{2} = m_{1}V_{3} + m_{2}V_{4}[/tex]

(0.06)(5.5) + (0.09)(3) = [tex](0.06)V_{3} + (0.09)(V_{3} + 2.5)[/tex]

0.33 + 0.27 = [tex]0.06V_{3} + 0.09V_{3}[/tex] + 0.225

[tex]0.15V_{3}[/tex] = 0.375

V3 = 2.5 m/s

[tex]V_{4} = V_{3} +[/tex] 2.5

[tex]V_{4} =[/tex] 2.5 + 2.5

[tex]V_{4} =[/tex]  5.0 m/s

The velocities of the both the balls after the collision are positive therefore the direction of the balls are moving after the collision is the same as the initial direction of motion.

a) Speed of the first ball after the collision = 2.5 m/s  same initial direction

b) Speed of the second ball after the collision = 5.0 m/s  same initial direction

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Assume |g| = 10 m/s^2

Answers

A free-body diagram of the block on the frictional part of the surface would show the force of friction acting in the opposite direction to the velocity of the block, and the force of gravity acting downward.

Using conservation of energy, the speed of the block at the base of the ramp can be found by setting the initial kinetic energy of the block (1/245^2) equal to the final kinetic energy of the block (1/2mv^2) and solving for v. v = sqrt((1/245^2)/(1/2*m)) where m is the mass of the block.

Using conservation of energy, the maximum vertical height H of the block on the ramp can be found by setting the initial potential energy of the block (mgH) equal to the final kinetic energy of the block (1/2mv^2) and solving for H. H = (1/2mv^2)/(m*g)

a) The total impulse given to the mass on the spring (mass A) during the brief collision is the product of the force exerted on the mass by the block and the time duration of the collision.

b) The speed of the mass on the spring (mass A) immediately after the collision can be determined using the conservation of momentum.

c) The velocity of the block immediately after the collision can also be determined using the conservation of momentum.

d) The spring constant can be determined by using the equation k = (2*F)/x, where F is the force exerted on the spring and x is the compression of the spring.

To find the horizontal range of the block from the end of the ramp, we can use the equations for horizontal and vertical motion of a projectile, with the angle of launch being 30 degrees, the initial speed being 6 m/s, and the final vertical position being 1m above the end of the ramp.

what quantities could be graphed to yield a straight line that could be used to determine the acceleration of the object? only indicate quantities that either were measured in part (b) or could be determined from quantities measured in part (b).

Answers

Choosing the proper quantities that are related to place and time and result in a graph with a straight line earns you 1 point.

Examples of answers include:  x and t^2, x and 1/2 t^2

2x and t^2, sqrt(x) and t.

What is the equation for acceleration?Acceleration is the rate of change of velocity with respect to time. Mathematically, acceleration is described by the equation a = Δv/Δt, where a is acceleration, Δv is the change in velocity, and Δt is the change in time. To calculate acceleration, we need to know the initial and final velocity and the amount of time that has elapsed between them. For instance, if a car's velocity changes from 10 m/s to 20 m/s in 5 s, the acceleration can be calculated as follows: a = (20 m/s − 10 m/s) / 5 s = 2 m/s2.The equation for acceleration can also be written as a = (vf − vi) / t, where vf is the final velocity, vi is the initial velocity, and t is the amount of time elapsed.Finally, acceleration can also be calculated by dividing the change in momentum by the mass of the object. In this case, the equation is a = Δp/m, where Δp is the change in momentum and m is the mass of the object.

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Here are a couple questions about vectors

Answers

The x and y component of the vector A are 37.4 m and 34.2 m respectively.

What is the x component of the vector A?

The x component of the vector A is calculated by applying the following formula.

Ax = A cosθ

where;

A is the magnitude of the vectorθ is the angle of the vector

Ax = 52 m x cos ( 44 )

Ax = 37.4 m

The y component of the vector A is calculated as follows;

Ay = A x sinθ

Ay = 84 m x sin ( 24 )

Ay = 34.2 m

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