A 120.00 kg roller-coaster car is pressed against a spring of constant 925 N/m and compresses it 3.00 meters. It is then released and rolls up an inclined portion of the track. How high up the incline will car roll before coming to a stop?
answer with correct units​

At point B, the ball is moving at a speed of around 2.05 m/s. At point C, the ball is moving at a speed of roughly 3.67 m/s.

Speed is the rate at which an object travels along a path over time, whereas velocity is the speed and direction of an item's motion.

(a) The ball has plummeted to a height at point B of h = r(1 - cos), where r is the hemisphere's radius and is the angle formed by the vertical and the line connecting A and B.

The ball loses as much potential energy as it gains in kinetic energy:

mgh = (1/2)mv² + (1/2)Iω²

Since the ball is rolling without slipping, we have v = rω. Also, for a solid sphere or ball, I = (2/5)mr^2.

By simplifying and substituting these formulas, we obtain:

mgh = (7/10)mv²

Solving for v, we get:

v = √((10/7)gh)

Substituting the given values, we get:

v = √((10/7) x 9.8 m/s² x 0.5 m x (1 - cos(30°)))

≈ 2.05 m/s

(b) The ball has dropped through a height of h = 2r at point C. Applying the same simplifications and conservation of energy equation as before, we arrive at:

mgh = (7/5)mv²

Solving for v, we get:

v = √((5/7)gh)

By simplifying and substituting these formulas, we obtain:

v = √((5/7) x 9.8 m/s² x 1.0 m)

≈ 3.67 m/s.

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Answer:

Explanation:

When the elevator is accelerating downwards, the apparent weight of the person is reduced, and when the elevator is accelerating upwards, the apparent weight is increased.

First, we need to determine the actual weight of the person. We can do this by using the formula:

Weight = mass x gravity

where mass is the mass of the person and gravity is the acceleration due to gravity, which is approximately 9.81 m/s^2.

Weight = (598.900 N) / (9.81 m/s^2) = 61.048 kg

Now, when the elevator is not moving, the person is only experiencing the force due to gravity, which is:

Weight = mass x gravity = (61.048 kg) x (9.81 m/s^2) = 598.78 N

Therefore, the scale would read approximately 598.78 Newtons when the elevator is not moving.

Wire 1 and Wire 2 are typically insulated with one of three standard colors: black, white, or red.

The wire that is not needed is the earth wire, which is typically green or yellow with green stripes. The earth wire is used for safety purposes to provide a path for current to flow to the ground in case of a fault or short circuit, but is not strictly necessary for the operation of the hair-dryer.

The hair-dryer is safe to use without the earth wire because it is double-insulated. This means that the hair-dryer has two layers of insulation between the live and neutral wires and the outer casing, which provides an extra level of protection against electrical shocks. Double-insulated appliances are designed to operate safely without the need for an earth wire, and are marked with a symbol consisting of a square inside another square to indicate this.

What is an earth wire?

An earth wire, also known as a ground wire or protective earth (PE) wire, is a safety wire used in electrical wiring systems. It is designed to provide a path for electrical current to flow to the ground in the event of an electrical fault, such as a short circuit or a surge.

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Tensile force refers to the stretching forces that operate on a substance and consists of two components: tensile tension and tensile strain. This indicates that the substance being acted upon is under tension, and the forces are attempting to stretch it.

Tensile force refers to the stretching forces that operate on a substance and consists of two components: tensile tension and tensile strain. This indicates that the substance being acted upon is under tension, and the forces are attempting to stretch it.

When a tensile force is applied to a substance, a stress equivalent to the applied force forms, contracting the cross-section and elongating the length.

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Unit vector n is (7/√6206)i - (30/√6206)j - (97/√6206)k and is a right handed system because of its positive value.

To find a unit vector n normal to the plane containing a and b, we need to take the cross product of a and b:

a × b =

| i j k |

| 31 4 -1 |

| 1 -3 1 |

= (4×1 - (-1)×(-3))i - (31×1 - (-1)×1)j + (31×(-3) - 4×1)k

= 7i - 30j - 97k

To make this a unit vector, we need to divide it by its magnitude:

|n| = √(7² + (-30)² + (-97)²) = √(6206)

n = (7/√6206)i - (30/√6206)j - (97/√6206)k

To check that this forms a right-handed system with a and b, we can take their dot product:

a · (b × n) =

(31+4j-k) · (7i-30j-97k) =

31×7 + 4×(-30) + (-1)×(-97) = 505

Since this is a positive value, we can conclude that a, b, and n form a right-handed system.

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The magnitude of power needed to keep the car traveling at a constant speed of 80 km/h would be  7 × [tex]10^4[/tex] watts.

The initial speed of the car is 95 km/h = 26.39 m/s, and the final speed is 65 km/h = 18.06 m/s. The change in speed over the 7.0 s interval is:

Δv = vf - vi = 18.06 m/s - 26.39 m/s = -8.33 m/s

The acceleration of the car can be found using:

a = Δv/t = -8.33 m/s / 7.0 s = -1.19 m/s^2

This is the deceleration of the car when it's in neutral. The force of friction acting on the car is:

F = ma = (1400 kg)(1.19 m/s^2) = 1666 N

To keep the car traveling at a constant 80 km/h = 22.22 m/s, a force equal in magnitude but opposite in direction to the force of friction must be applied. The power required to maintain this speed is:

P = Fv = (1666 N)(22.22 m/s) = 37000 W ≈ 3.7 × [tex]10^4[/tex] W

Therefore, the power needed to keep the car traveling at a constant 80 km/h is approximately 7 × [tex]10^4[/tex] watts.

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False. E=hf, where h is Planck's constant, c is the speed of light, f is the frequency, and is the wavelength; and E=hc/, where E is directly proportional to frequency and inversely proportional to wavelength.

With respect to the wavelength of the radiation, photon energy is inversely proportional.

Two formulas can be used to determine a photon's energy: E = h f is a formula that can be used if the photon's frequency is known. This equation, sometimes known as Planck's equation, was created by Max Planck.

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Answer:

True.

Explanation:

Clinical psychologists are mental health professionals who work with individuals, couples, families, and groups to address psychological and emotional problems that affect their daily lives. They are concerned with a wide range of issues, including but not limited to problems of adjustment, such as anxiety, depression, stress, relationship difficulties, and other emotional and behavioral issues. Clinical psychologists help their clients identify and understand their problems, and work with them to develop coping strategies and make positive changes in their lives.

Answer:

TRUE

Explanation:

Clinical psychologists are mental health professionals who work with individuals, couples, families, and groups to address psychological and emotional problems that affect their daily lives. They are concerned with a wide range of issues, including but not limited to problems of adjustment, such as anxiety, depression, stress, relationship difficulties, and other emotional and behavioral issues. Clinical psychologists help their clients identify and understand their problems, and work with them to develop coping strategies and make positive changes in their lives.

The back emf at 2500 rpm if the magnetic field is unchanged is 100 V for the back emf in a motor is 72 V when operating at 1800 rpm.

The back emf in a motor is proportional to the speed of the motor. Therefore, we can use the following formula to determine the back emf at 2500 rpm:

E2 = E1 × (N2 / N1)

where E1 is the back emf at 1800 rpm, N1 is the speed at which the back emf was measured, E2 is the back emf at 2500 rpm, and N2 is a new speed.

Plugging in the values we get:

E2 = 72 V × (2500 rpm / 1800 rpm)

E2 = 100 V

Therefore, the back emf at 2500 rpm of the motor would be 100 V if the magnetic field is unchanged.

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The mass of the ball at a height of 3m above the ground with a potential energy of 120J can be calculated using the equation:

Mass = Potential Energy/Gravity * Height

Mass = 120J/(9.81m/s² * 3m)

Mass = 4.1 kg

Answer:

4 kg

Explanation:

Using,

Energy/ Work done = Force x Distance (Height)

E = F • s

But recall, that F = mg

Therefore,

E = m • g • s

Making mass (m), the subject of the formula

m = E / (g • s)

m = 120 / (10 • 3)

m = 120 / 30

m = 4 kg

But if g = 9.8 ms-¹

Then,

m = 120 / (9.8 • 3)

m = 120 / 29.4

m = 4.08 kg

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Greenhouse gases, Albedo , Orbital variations ,Solar radiation and Volcanic activity these are the factors that affect the temperature of the earth.

There are many factors that affect the temperature of the Earth, including the following:

Greenhouse gases: Certain gases, such as carbon dioxide, methane, and water vapor, trap heat in the Earth's atmosphere and cause the planet to warm up. As greenhouse gas emissions increase due to human activity, such as burning fossil fuels, the Earth's temperature is expected to continue to rise.

Albedo: This is a measure of how much light the Earth reflects back into space. When the Earth's surface is covered in snow or ice, it has a high albedo and reflects more light. When the Earth's surface is covered in dark vegetation or water, it has a low albedo and absorbs more light, which causes it to warm up. Changes in land use, such as deforestation, can also affect the Earth's albedo.

Orbital variations: The Earth's orbit around the sun changes over time due to gravitational interactions with other planets. These variations can affect the amount of sunlight that reaches different parts of the Earth and cause climate patterns to shift. For example, changes in the tilt of the Earth's axis can lead to changes in the seasons.

Solar radiation: The amount of energy the Earth receives from the sun varies over time due to changes in the sun's output and the Earth's position in its orbit. This can affect the Earth's climate, especially over long periods of time. For example, changes in solar radiation are thought to have contributed to past ice ages.

Volcanic activity: When a volcano erupts, it releases large amounts of gases and particles into the atmosphere. This can cause the Earth's temperature to drop temporarily by blocking sunlight. However, over longer periods of time, volcanic activity can also release greenhouse gases and cause the Earth to warm up.

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The physical processes by which atoms rearrange during phase transformations in the solid state involve changes in the arrangement of the atoms in the lattice, which can be caused by changes in temperature, pressure, or both.

The physical processes by which atoms rearrange during phase transformations in the solid state involve changes in the arrangement of the atoms in the lattice.

This is typically done by changing the number of nearest neighbours of each atom or by introducing new lattice points in the solid structure. In some cases, atoms may even have to move from one position to another.

Common examples of phase transformations in the solid state include melting, recrystallization, and solidification.

Melting occurs when the thermal energy of the solid is increased and the atoms become mobile enough to break the bonds between them. This causes the solid to transition into a liquid phase.

Recrystallization occurs when the thermal energy of the solid is decreased, causing the atoms to return to their original positions and form a new, more ordered lattice.

Lastly, solidification is the reverse process of melting, where thermal energy is removed and the atoms return to their original positions in the lattice.

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The perimeter of the pool is approximately 206.85 feet if we use 3.14 as the approximation of the value of π.

In this case, the angle AOB is 360 degrees, so the arc length is:

arc length = (360/360) x 2π(25) = 50π feet

Finally, we can find the perimeter of the pool by adding up the lengths of the two semicircles and the arc AB:

perimeter = 2πr + 2r + arc length

perimeter = 2π(25) + 2(25) + 50π

perimeter = 50π + 50

Perimeter is a measurement of the distance around the edge of a two-dimensional shape, such as a square, rectangle, or circle. It is the sum of the lengths of all the sides that make up the shape. The perimeter is an important concept in geometry and is used to determine the amount of material needed to enclose or surround a shape, as well as to calculate the distance around a given route or path.

To find the perimeter of a shape, you simply add up the lengths of its sides. For example, if you have a square with sides that are each 5 units long, the perimeter would be 5 + 5 + 5 + 5 = 20 units. Similarly, if you have a circle with a radius of 10 units, the perimeter (also known as the circumference) would be 2πr or approximately 62.8 units.

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Complete Question: -

If AO is 50 feet, find the perimeter of the pool. (O is the center of the sector AOB. OA and OB are the diameters of two semi-circles.)

Draw the complete cycle of the wave by repeating the pattern of the peak, the equilibrium position, and the trough, with a distance of λ between each consecutive peak or trough. The number of cycles per second, or the frequency, should be 5.0 hertz.

What is Wave?

A wave is a disturbance that propagates through space and time, often transferring energy from one location to another without the physical transfer of matter. Waves can take many different forms, including sound waves, electromagnetic waves, and mechanical waves.

Draw a horizontal axis representing time, labeled in seconds or milliseconds.

Draw a vertical axis representing displacement or amplitude, labeled in centimeters or meters.

Choose a starting point for the wave, which represents the equilibrium position of the medium.

Draw the peak of the wave, which represents the maximum displacement of the medium from its equilibrium position. This should be 4.0 centimeters above the equilibrium position.

Draw the trough of the wave, which represents the minimum displacement of the medium from its equilibrium position. This should be 4.0 centimeters below the equilibrium position.

Determine the wavelength of the wave, which is the distance between two consecutive peaks or troughs. This can be calculated using the formula λ = v/f, where λ is the wavelength, v is the velocity of the wave, and f is the frequency. For a transverse wave on a string, the velocity is given by v = √(T/μ), where T is the tension in the string and μ is the linear mass density of the string.

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we can't give a specific direction for the final momentum.

What is momentum?

Momentum is a physical quantity that describes the motion of an object. It is defined as the product of an object's mass and its velocity. Mathematically, momentum is expressed as:

Momentum (p) = mass (m) x velocity (v)

p = m x v

To solve this problem, we need to apply the law of conservation of momentum, which states that the total momentum of a system remains constant if no external forces act on it.

The initial total momentum of the system is:

p_initial = p_white + p_gray = 25 kg m/s - 30 kg m/s = -5 kg m/s

Since there are no external forces acting on the system, the total momentum of the system after the collision must also be -5 kg m/s. Therefore, the final momentum of the system is:

p_final = -5 kg m/s

The direction of the final momentum can be found by looking at the directions of the initial momenta. Since the white clay has positive momentum and the gray clay has negative momentum, we can say that the white clay is moving to the right and the gray clay is moving to the left before the collision.

During the collision, the two clays will exert forces on each other, causing them to change direction and possibly even break apart. Without more information about the collision, we can't say for sure what the direction of the final momentum will be. It could be to the left or to the right, or some combination of the two. Therefore, we can't give a specific direction for the final momentum.

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The charge on the capacitor at 7.6 s after the switch is closed is 54.87 µC.

The charge on the capacitor can be calculated using the formula,

Q = Q₀(1-e^(-t/RC))

where Q₀ is the initial charge on the capacitor,

t is the time elapsed,

R is the resistance and

C is the capacitance.

Substituting the given values

Q₀ = 60 µC,

R = 10kΩ,

C = 2 µF, and

t = 7.6 s,

we get

[tex]Q = 60 µC(1-e^(-7.6/(10 \times 10³ \times 2\times 10^-6))[/tex]

   = 54.87 µC

Thus, the charge on the capacitor at 7.6 s after the switch is closed is 54.87 µC.

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The frequency of the water wave is 0.4Hz (option B).

Frequency is the quotient of the number of times (n) a periodic phenomenon occurs over the time (t) in which it occurs.

The frequency of a wave can be calculated by dividing the number of occurrence by time as follows;

f = n/t

Where;

According to this question, an observer counts 4 complete water waves passing by the end of a dock every 10 seconds. The frequency can be calculated as follows:

f = 4/10

f = 0.4Hz

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The average power developed by a diesel engine of a 400-Mg train increases the train's speed uniformly from rest to 10 m/s in 100 s along a horizontal track = 200 kW.

The first kinematic equation is v=v0+at , where v is the final velocity, v0 is the initial velocity, a is the constant acceleration, and t is the time

According to given information:

v = 10, v0= 0 , t= 100s, m=400

v=v0+at

10= 0+a(100)  

a= 0.1 m/s²

∑ F =ma  <==>  F= 400(10 ³ )(0.1) = 40(10 ³)N

Pavg = F. Vavg = 40(10 ³)(10/2) = 200 kW

It represents the typical quantity of work completed or energy converted per unit of time. When the context clearly indicates it, the average power is frequently referred to as "power".

The instantaneous power overrides the average power as time interval t gets closer to zero.

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Answer:

Explanation:

The correct option that describes a different evolutionary stage of a star like the sun is:

D) It becomes a white dwarf after exploding as a supernova

This is because a star like the sun does not have enough mass to undergo a supernova explosion. After it has exhausted all the fuel in its core, it will evolve into a red giant and then a planetary nebula, leaving behind a small, hot, dense remnant known as a white dwarf. Supernovae occur in much more massive stars that have cores that can collapse to form a neutron star or black hole.

Answer:

centripetal, normal

To determine the time Pete arrives at work, we can start by calculating the total time he spends on his commute and gym routine:

Time spent driving to the gym = 12.5 miles ÷ average speed

We don't know Pete's average speed, so we cannot calculate this.

Time spent in the gym = 45 minutes

Time spent driving from the gym to work = 9 miles ÷ average speed

Again, we don't know Pete's average speed, so we cannot calculate this.

Total time spent on commute and gym routine = time spent driving to gym + time spent in gym + time spent driving from gym to work

= Unknown + 45 minutes + Unknown

Next, we can convert the total time to hours and minutes:

Total time = (Unknown + 45 minutes + Unknown) ÷ 60

= (Unknown + Unknown) ÷ 60 + 45/60

= (2Unknown) ÷ 60 + 0.75

= (Unknown) ÷ 30 + 0.75

We know that Pete needs to arrive at work by 9.00am, so we can set up an equation:

Arrival time = 7.30am + Total time

9.00am = 7.30am + (Unknown/30) + 0.75

Solving for Unknown:

1.5 hours = Unknown/30

Unknown = 45 minutes

Therefore, Pete will arrive at work at 8.15am.

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The above-listed characteristics apply to moving water as an energy source. Thus, moving water can be used as an energy source.

The following are the characteristics of moving water as an energy source:

Water is an excellent resource for producing electricity since it is clean, renewable, and is available in many different forms. When water moves, it has the potential to generate energy, which can be harnessed in several ways to produce electricity. As a result, moving water is an excellent source of renewable energy, as it is available in many different forms and can be used in a variety of ways.The above-listed characteristics apply to moving water as an energy source. Thus, moving water can be used as an energy source.

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Given the fact that the linear velocity of the ball is tangential to the circle then it is shown by vector B

When a ball flies out of a circular path, the direction of its tangential velocity is tangent to the point at which it leaves the circular path.

To visualize this, imagine a ball tied to a string and whirled around in a circle. As the ball is released, it will move away from the center of the circle in a straight line. At the moment it leaves the circular path, its velocity vector will be tangent to the circle, pointing in the direction of its motion.

If the ball is flying out of the circle in a clockwise direction, then its tangential velocity vector will point to the right. If it is flying out of the circle in a counterclockwise direction, then its tangential velocity vector will point to the left.

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When students brush balloons against their wool sweaters or hair, electrons are moved from the wool or hair to the balloon. As a result, the balloon has a net negative charge, whereas the garment or hair, having shed negative charges, has a net positive charge.

The term "net" refers to the sum after both positive and negative costs have been deducted. So, if something has 321 positive charges and 319 negative charges, the overall charge is 321 - 319 = +2. The overall charge is 37 - 42 = -5 if it includes 37 positive charges and 42 negative charges.

Electrons are negatively charged, whereas protons are favourably charged. Atoms have an identical amount of electrons and protons and have a net charge of zero. This makes atoms always neutral.

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Answer:

3,012,955.71 USD per person

Explanation:

The U.S. as of 2021 had 331.9 million inhabitants

Total cost of 10^14 USD to be divided by 331.9m inhabitants to obtain the cost per person

3,012,955.71 USD per person

The largest force exerted on an object by electromagnetic radiation is       d) The radiation is reflected back along its incident path.

The electromagnetic (EM) field's waves, which travel across space carrying momentum and electromagnetic radiant energy, make up electromagnetic radiation (EMR).  It consists of X-rays, gamma rays, microwaves, infrared, visible light, ultraviolet, and radio waves. These waves are all a component of the electromagnetic spectrum. 

Electromagnetic waves, which are synchronised oscillations of the electric and magnetic fields, are the traditional form of electromagnetic radiation. The electromagnetic spectrum is created at various wavelengths depending on the oscillation frequency. Electromagnetic waves move at the speed of light, in a vacuum. The oscillations of the two fields create a transverse wave in homogeneous, isotropic media when they are perpendicular to each other, perpendicular to the direction of energy and wave propagation, and perpendicular to each other.

The range of electromagnetic radiation's frequencies, along with their corresponding wavelengths and photon energies, is known as the electromagnetic spectrum.

The electromagnetic spectrum includes electromagnetic waves with frequencies between one hertz and above 10²⁵ hertz, or wavelengths between thousands of kilometres and a small portion of the size of an atomic nucleus. The electromagnetic waves that are contained within each of these bands have different names; starting at the low-frequency (long wavelength) end of the spectrum, these are radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays. This frequency range is divided into separate bands.

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The correct option is A, If the length of the crank was doubled, you could pull up the water with the same work, but less force.

The term "crank" can have various meanings depending on the context. In the context of machinery or engines, a crank is a mechanical device that converts rotational motion into linear motion or vice versa. It typically consists of a rod with a crankpin that connects to a piston or other reciprocating part.In a different context, the term "crank" can refer to a person who holds unconventional or extreme views and insists on expressing them in a forceful or annoying way.

Such a person may be described as a "crank" or "crankpot." The term can also refer to someone who is mentally unbalanced or eccentric. Furthermore, in the context of illegal drugs, "crank" is a slang term for methamphetamine, a highly addictive stimulant that can cause serious health problems and addiction. It is usually sold in crystalline form and can be smoked, snorted, or injected.

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Complete Question: -

You are pulling water with a constant velocity from a well using a crank of lengthL . If the length of the crank was doubled, you could ...

A: pull up the water with the same work, but less force

B: pull up the pail with half the number of revolutions

C: exert double the torque while pulling up the pail with half the work

D: pull up the pail with half the work and half the force

E: pull up double the amount of water with the same work

F: exert four times the torque while pulling up the pail with the same work

The average force exerted on the putty by the surface is 0 N this means that the putty experiences no net force and does not accelerate during the 0.30 s it takes to come to rest.

To answer this problem, we may apply the average force equation, which states that average force equals momentum change divided by the period during which the force occurs.

Initially, we must determine the putty's starting momentum. We may employ the momentum equation, which asserts that momentum equals mass times velocity. Because the putty is dropped from rest, its initial velocity is zero, as is its initial momentum.

The ultimate momentum of the putty must then be determined. The putty's final velocity is also zero since it comes to rest. As a result, the putty's ultimate momentum is similarly zero.

Finally, we can substitute the values we found into the equation for average force:

Average force = change in momentum/time interval

= 0 / 0.30

= 0 N

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"Mars may once have met the requirements for livability, such as having liquid ocean, but at the moment, it top orbit is too thin so it lacks the huge magnetic field needed to support life as we know it.

having great aptitude or power to attract. a magnetic personality; of or pertaining to the a magnet or even to magnetism; of, pertaining to, and characterized by earth's magnetism; magnetized or able to be magnetized.

Yet, some substances have a high magnetic field, meaning that the majority of its electrons spin opposite direction. The strongest magnets are made of these materials because of their great magnetic permeability. They include the elements nickel, cobalt, and iron. The most potent type of magnet is one made of neodymium iron boron (NdFeb).

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Answer:

Solve for force:

Ff = UFn

Ff = 0.75(Fn)

Ff = 0.75(1515 + 1225 * g)

Ff = 20550N

Solve for acceleration:

F= ma

20550N = (1515 + 1225) a

a = 7.5m/s^2

solve for time:

a = d / t^2  --->  7.5m/s^2 = 18.5/ t^2  ----> t = 0.85s

solve for velocity final

Impulse = F * t = 20550N * 0.85s

mv^2 = Impulse = 17467.5

(1515 + 1125)v^2 = 17467.5

vf = 2.5m/s

Plug in stuff:

1515 * v1 + 1125 * (-18.3m/s) = (1515 + 1125) * 2.5m/s

v1 = 9.23

Note: I converted 41mph(v2) to 18.3m/s, which is negative because "westward" is in the negative direction.

Explanation: Inelastic collision

Extra: I'm guessing because the two cars slide, the only force acting on them is the force of friction(so it's our net force), hence the Fnet = ma.