2. A 1.0 kg roller coaster is at the top of a 25m hill, and has a velocity of 8 m/s.

a. Determine the velocity of the roller coaster when it is halfway down the hill, at height of 12.5 m. (Ignore Friction)

b. What is the velocity of the roller coaster at the bottom of the hill assuming a force due to friction of 3.0 N, and the length of the hill is 45.0 m.

SHOW ALL WORK!

Answer:

The wavelength of the wave is [tex]5.45\times 10^5\ m[/tex] and time period is 0.0018 s.

Explanation:

The given question is, "A wave whose frequency is equal to 550 Hz, propagates in the air. What is its wavelength and its period?"

Given that,

The frequency of a wave, f = 550 Hz

The time period of a wave,

[tex]T=\dfrac{1}{f}\\\\T=\dfrac{1}{550}\\\\T=0.0018\ s[/tex]

Wavelength,

[tex]\lambda=\dfrac{c}{f}\\\\\lambda=\dfrac{3\times 10^8}{550}\\\\\lambda=5.45\times 10^5\ m[/tex]

So, wavelength of the wave is [tex]5.45\times 10^5\ m[/tex] and time period is 0.0018 s.

The distance between the force's line of action and the center of moments, also known as the moment arm or lever arm, is perpendicular. Force times distance equals moment.

A force's moment is determined by its magnitude and distance from the rotational axis. The strength of a force is measured by its moment around a point (the perpendicular distance of the line of action of the force from the point).

The distance from an axis to the line of action of a force is known as the moment arm (or lever arm) of a force system. In other words, the moment arm controls the torque's quality.

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A theory must meet certain requirements in order to be accepted as a physical law , 1. It must explain the available data 2. It need to offer hypotheses that can be verified by science.

A physical law outlines the broad relationships between and, when necessary, changes in the physical quantities that define the states of a physical system. Typically, this is described mathematically. These laws are also known as natural laws or are associated with them in the physical realm. A physical law applies with a very high probability when it falls within its scope of applicability. Physical experiments and observations that are specifically focused are used to test this validity range. The law is established if the outcomes match the predictions.

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The temperature difference of  1 K on the Kelvin scale is equivalent to the temperature difference of (5/9)°F on the Fahrenheit scale.  Triple-point temperature of water is approximately 491 degrees Rankine.

The unit of scales on the Rankine scale is the same as those on the Fahrenheit scale. Hence, from the freezing point of water (0⁰C) to the boiling point of water(100⁰C) , Rankine scale is divided into 180 scales.

The absolute zero is zero degrees Rankine.  In Celsius scale, absolute zero is −273 °C.

A). A unit scale on the Kelvin scale is the same size as a unit scale in the Celsius scale. Hence,

ΔT 1 K = ΔT 1°C

The ratio of Celsius and Fahrenheit scale is 5/9, therefore:

K/F = C/F = 5/9

Hence,

ΔT 1 K = ΔT (5/9)°F

B) Triple-point temperature of water is approximately 0 °C. Since zero degrees Rankine is equivalent to  −273 °C, hence:

0 °C = 0 - (9/5)(-273) = 491 degrees Rankine.

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0.268 because grams are 1000 times bigger than mg

1 milligram = 0.001 grams

268.0mg * 0.001g

[tex]=\fbox{0.268 grams}[/tex]

53.24 km/hr is the journey's average speed.

Average speed is determined by dividing the entire distance covered by the body in a given amount of time, or Average Speed=Total time.

total radius. A scalar quantity, that is. M/s is its unit.

The length of the entire path traveled divided by the duration of the motion is the definition of average speed.

Total miles traveled: 31.9 + 25.7 + 23.33 = 80.5 km

Average trip speed would be 80.5/1.512=53.24 km.

Total time required to travel this distance is 0.58 hours, 0.266 hours, and 0.666 hours.

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The genetic and chemical variety of plant populations is influenced by environmental factors such as soil nutrients, temperature, water availability, and light intensity.

Sometimes a gene's DNA sequence or degree of activity is altered by the environment. Both of these effects have the capacity to change the proteins that a gene generates, which then affects traits. Some harmful environmental factors can change the nucleotide sequence of a gene. UV rays, for example, can harm DNA strands.

Successful competitors have a higher chance of surviving. Individual creatures with specific qualities are more likely to survive under specific environmental conditions than those without these traits.

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Answer:

that is not physics pls dont do that again

Explanation:

A visual representation of speed. It can also be used to denote speed. Without taking into account orientation, this is the rate of distance covered in a given amount of time.

The speed and direction of a particle's motion are both considered to be the particle's velocity. The distance travelled as well as the direction it is veering.

While velocity refers to both the speed and direction of an object's motion, speed is only the rate at which an object moves along a path over time. In other words, velocity is a vector, but on the other hand speed is a scalar value.

We know that velocity is a vector quantity since it has both a magnitude and a direction. However, speed just has a magnitude and no direction, therefore it.

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Both reels will rotate at the same pace at some time throughout the game. This usual angle of rotation is 0.763 rad/s.

Given data:

The total length of the videotape cassette is, L = 196 m.

The time interval for the play is, t=2h=2×3600=7200s

The outer radius of the tape is, r₀ = 48mm

The inner radius of the tape is, r[tex]_{i}[/tex] = 14mm

The rotating motion of the videotape is indicated by the value of the angular velocity, which is as follows:

[tex]\omega=\frac{v}{r}[/tex].............................................................................(1)

Here, v denotes the cassette's linear speed, while r denotes the cassette's effective radius.

r=[tex]\sqrt{ \frac{r_{o}^{2} + r_{i}^{2} }{2} }[/tex]

r= [tex]\sqrt{ \frac{48^{2} + 14^{2} }{2} }[/tex]

r=35.35 mm

r ≅ 0.03535 m

And the cassette's linear speed is specified as,

[tex]v=\frac{L}{t}[/tex]

[tex]v[/tex] = 196/7200

[tex]v[/tex] = 0.027 m/s

Substitute the values in equation (1) as

[tex]\omega[/tex] = 0.027/0.03535

[tex]\omega[/tex] = 0.763 rad/s

As a result, we can infer that at some point throughout the game, both reels will be spinning at the same speed of 0.763 rad/s.

The angle of rotation in mathematics is a measurement of how much, specifically by what angle, a figure is rotated about a fixed point, frequently the center of a circle. Since an anticlockwise revolution of 310 degrees is equivalent to a full turn of 360 degrees because 310 degrees plus 50 degrees equals 360 degrees, an anticlockwise rotation of 310 degrees is also referred to as a rotation of -50 degrees.

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The mass of the car that was at rest is 4800kg.

What is mass?

Measurement of inertia, a fundamental characteristic of all matter. The resistance a body of matter offers to a change in its speed or location as a result of the application of a force is what it is in essence.

What is momentum?

As a measure of an object's kinetic energy, momentum is easily defined. Simply put, momentum is the result of mass times velocity. full response Simply said, momentum is concerned with the quantity of motion. The conserved quantity is another definition for it.

m= 3600kg

Vi= 21.0m/s

Vf = 9.0m/s

conservation of momentum

mVi= (m+M) Vf

mass of rest car M = (Vi-Vf )m/Vf

M = (21.0 m/s - 9.0m/s)* 3600 kg/ 9.0m/s

M= 4800kg

Therefore, the mass of the car that was at rest is 4800kg.

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The four factors that makeup latency are processing delay caused by processor speed, node queueing delays caused by node load, and transmission delay caused by the bit rate of transmission.

The term "latency" refers to the amount of time that passes between the sender and the recipient of data, or between a particular user action and the resulting answer. A user's internet experience will be significantly impacted by network latency, a serious problem with internet access that can be brought on by a number of factors.

Depending on the application case, there are two forms of latency: one-way transmission and round trip. The transmission of data packets from a source to a destination is referred to as one-way latency.

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When two bodies at equal temperature are brought in contact with each other then no heat flows between them and they are said to be in thermal equilibrium.

When the engine temperature eventually reaches the same level as the ambient temperature, thermal equilibrium has taken place. After being placed on the table and waiting a short while, a cup of hot tea cools to the same temperature as its surroundings.

This is where thermal equilibrium occurs. the set temperature at which all of a solid's mass melts. When the solid turns into a liquid, both the solid and the liquid coexist in the thermal equilibrium.

The individual drove himself to his location. The engine temperature was excessively high during that time, but it eventually dropped to the air temperature outside. When the engine temperature eventually reaches air temperature, thermal equilibrium has occurred.

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A(1) and (2) only of the following bodies are at thermal equilibrium when being put into contact. i.e. (1) A glass of water of internal energy E at 20 °C (2) Alcohol with unknown internal energy at 20 °C .

As internal energy is measured in terms of the body temperature, when two bodies are in thermal equilibrium, their internal energies will also be equal.

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A hydraulic lift's master cylinder must be subjected to a force of 136N.

According to Archimedes' principle, an object that is totally or partially submerged in a fluid will feel upward buoyant force that is equivalent in strength toward the point of gravity here on displaced fluid.

The design principle for vessels and submarines uses Archimedes' principle. The Archimedes principle is the foundation of hydrometers.

According to Archimedes' principle:

F1 / A1 = F2 / A2

F2 = (A2 / A1) * F1

Also, the formula for the force is F = mg.

The formula for the area of the cylinder is A = , therefore we get

F2 = ( π [tex](r2)^{2}[/tex] / π [tex](r1)^{2}[/tex] ) * mg

Since the cylinders' diameter is 2 cm and 24 cm, r1 = 12 and r2 = 1.

Substituting the values to the derived equation, we get

F2 = ( π [tex](1)^{2}[/tex] / π [tex](12)^{2}[/tex] ) * 2000 * 9.8

2 = 136 N

Thus, the force exerted must be 136N.

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Given :

Capacity of capacitor is, [tex]C = 10\ \mu F[/tex].

To Find :

At what voltage can a 10 μF capacitor be energized to 0.45 J.

Solution :

We know, energy in capacitor is given by :

[tex]E = \dfrac{CV^2}{2}[/tex]

So,

[tex]V = \sqrt{\dfrac{2E}{C}}\\\\V = \sqrt{\dfrac{2\times 0.45}{10}}\ \mu V\\\\V = 0.3 \ \mu V[/tex]

Therefore, voltage required is [tex]0.3 \ \mu V[/tex] .

The minimum amplitude of the resultant pulse is 10 cm.

The amplitude of a pulse is the maximum height of the waveform measured from the baseline, also known as the peak-to-peak amplitude. In the case of two pulses, A and B, the minimum amplitude of the resultant pulse is determined by the vector sum of the individual amplitudes of the two pulses.

When two pulses are in phase, the resultant pulse amplitude is the sum of the individual amplitudes, which in this case is 20 cm + 10 cm = 30 cm.

However, if the two pulses are out of phase, the minimum amplitude of the resultant pulse is determined by the difference between the amplitudes of the two pulses. In this case, the minimum amplitude of the resultant pulse would be |20 cm - 10 cm| = 10 cm.

So, the minimum amplitude of the resultant pulse is 10 cm.

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Answer:

Approximately [tex](-61)\; {\rm m\cdot s^{-2}}[/tex], assuming that [tex]g = 9.81\; {\rm m\cdot s^{-2}}[/tex].

Explanation:

Under the assumptions, the vehicle would be in a free fall. Acceleration would be constant: [tex]a = (-g) = (-9.81)\; {\rm m\cdot s^{-2}}[/tex].

Let [tex]u[/tex] denote the initial velocity of the vehicle. Let [tex]v[/tex] denote the velocity of the vehicle at the bottom of the drop. Let [tex]x[/tex] denote the displacement of the vehicle during the drop.

It is given that the initial velocity is [tex]u = 0\; {\rm m\cdot s^{-1}}[/tex]. During the drop, displacement would be [tex]x = (-190)\; {\rm m}[/tex] (negative since the vehicle is below where it started.) The value of final velocity [tex]v[/tex] needs to be found.

It is known that the vehicle is moving downwards at the end of the fall. Therefore, the value of [tex]v\![/tex] would be negative. Apply the SUVAT equation [tex]v^{2} - u^{2} = 2\, a\, x[/tex] to find [tex]v[/tex] from [tex]u[/tex], [tex]a[/tex], and [tex]x[/tex].

[tex]\begin{aligned}v^{2} &= u^{2} + 2\, a\, x\end{aligned}[/tex].

[tex]\begin{aligned}v &= -\sqrt{u^{2} + 2\, a\, x} \\ &= -\sqrt{(0\; {\rm m\cdot s^{-1}})^{2} + 2\, (-9.81\; {\rm m\cdot s^{-2}})\, (-190\; {\rm m})} \\ &\approx (-61)\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].

(Note that [tex]v[/tex] is negative.)

In other words, the velocity of the vehicle would be approximately [tex](-61)\; {\rm m\cdot s^{-1}}[/tex] at the end of the drop.

These are just personal definitions of the following. They aren't official ones that may come from your textbook, but they are still accurate.

a. Friction is a force that acts against forces in contact with an object.

b. Sliding Friction is a force that acts against the forces making an object slide (e.g. the y component of the object's weight force if it's on an incline)

c. Static Friction is a force that acts on an object that is still/not moving.

d. Rolling Friction is the force making an object roll.

e. Air resistance is a frictional force that acts to slow down a falling object.

f. Terminal velocity is the maximum an object can reach while in free fall due to air resistance.

g. Gravity is a mutual attractive force in between two objects.

h. Weight is the mass of an object multiplied by the gravitational force (usually 9.81 for objects on earth). Weight is a force acting against the normal force keeping objects from phasing through each other.

i. Centripetal force is a force that acts on an object that is turning. This force pulls the object to the outside of the turning track.

j. Momentum is defined by mv (mass times velocity). Momentum is not a force, it is the idea that the motion of an object can depend on its mass and velocity.

I would check official dictionaries, just to make sure these definitions align with your textbook's.

The weight of the automobile and trailer together is 2000 kg. The vehicle will accelerate at a rate of 2.5 m/s2.

Acceleration is measured in meters per second squared (ms2), or m s 2. Formula for Average Acceleration: The final velocity minus the initial velocity, divided by the change in time, is the equation for average acceleration (a). A = v t = v f v I t.

The product of an object's mass (m) and velocity (v) is its linear momentum. Higher momentum makes it more difficult to halt an object. P = mv is the equation for linear momentum.

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This ride increases this person's gravity potential energy by 9000 Joules.

The force of attraction between any two bodies is directly proportional to the product of their masses and is inversely proportional to the square of their distance, according to Newton's universal law of gravitation.

The definition of energy is "the ability to do work, which is the capability to apply a force causing the displacement of an object." Despite this vague description, energy simply refers to the power that propels motion.

Weight of the person, W = 6 x 102 N = 600 N

Avg. Speed of elevator, v = 3 m/s

Time of ride, t = 5 sec.

Therefore,

Mass of the person, m = W/g = 600/9.8 = 61.2244 kg

Height of the elevator after 5 sec, h = v x t = 3 x 5 = 15 m

Potential energy increase , PE = mgh = 61.2244 x 9.8 x 15

                                              PE = 9000 Joule

Therefore, 9000 Joule does this person's gravitational potential energy increase as a result of this ride.

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An electrical conductor that has very low resistance to current at low temperatures is called a(n) Superconductor.

A superconductor's hatred of magnetic fields is one of its basic characteristics. A superconductor generates its own equal and opposite magnetic field when a magnetic field is applied by a scientist.

A north-seeking pole (north pole) and a south-seeking pole (south pole) are found at either end of every magnet. Depending on how they are arranged, these two oppositely charged poles enable magnets to both repel and attract other magnets.

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Thermal energy can be found from kinetic and potential energy by calculating the amount of work done on an object. Work is equal to the amount of force multiplied by the distance moved by the object.

The Kinetic energy is equal to the mass of the object multiplied by the square of its velocity. Potential energy is equal to the mass of the object multiplied by the acceleration of gravity multiplied by the height of the object. Thermal energy is equal to the sum of the kinetic and potential energies.

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Answer:

1 MA= load/effort

MA= 240/60

MA=4

2.VR=Distance moved by effort/ Distance moved by Load

VR=4/1

= 4

5. Efficiency= MA/VR

4/4*100/1

=100%

Where r is the radius, v is the tangential speed, and is the angular speed The tangential speed is 2.1 m/s as a result.

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The bicyclist will need to ride for a total time of 120 seconds in order to cover 480 meters of distance at a constant velocity of 4.0 meters per second.

In this scenario, we are provided with:

The distance of the ride is 480 meters.

The velocity is four meters per second

In order to calculate the time, we can use the following formula:

Time = Distance : Velocity

= 480 meters : 4.0 meters per second

= 120 seconds

Therefore, the amount of time a cyclist needs to travel would be 120 seconds.

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Answer:

9000 Joules

Explanation:

Potential energy = mass x acceleration due to gravity x height

mass = 20kg

acceleration due to gravity = 10m/s2

height = 45 meters

20 x 10 x 45 = 9000 Joules

A low bandwidth will result in a high ping (delay) and, most likely, lag while you're playing. It will also affect how quickly data is delivered and then received.

Because of the temporal lag caused by high latency, gaming might be much less enjoyable. It is essential because low latency allows for more fluid gameplay. Typically, a latency (or ping) of 40–60 milliseconds (ms) or less is considered to be acceptable.

Your website resources will load more quickly if server latency is reduced, which will also improve the time it takes for visitors to load all of your pages.

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Pythagorean Theorem to determine the gap between second base and home plate.

The Pythagorean theorem and the coordinates of the two locations are used in the distance formula to determine the distance between them. The formula below can be used to determine the length of AB if A and B make up the hypotenuse of a right triangle: Leg2 plus Leg2 equals Hypotenuse 2.

measured from the middle of the backstop to the apex of home plate. Place second base in centre by drawing a line from the backstop's centre point over the pitcher's mound, through the apex. The distance that needs to be measured is between the centre of second base and the top of home plate.

The square root of (a,c)2 + (b,d)2 is used to calculate the distance between the points (a,b) and (c,d). The distance between points (a, b, c) and (d, e, f) in three dimensions is equal to the square root of (a, d), (b, e), and (c, f).

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Answer:

False

Explanation:

Carbon dioxide is made up of polar molecules, but the dipole moments cancel each other out. Therefore, not a polar molecule.

"Carbon dioxide with its two double bonds is an example of a polar molecule" is  False. The correct option is B.

Carbon dioxide (CO2) is a linear molecule with two polar C=O bonds that are oriented in opposite directions, making the molecule nonpolar overall. The polar bonds cancel out each other's dipole moment, resulting in a molecule with a zero dipole moment.

The dipole moment is a measure of the polarity of a molecule. It is the product of the charge on each end of a polar molecule and the distance between those charges. The dipole moment of a molecule indicates the strength and direction of the electric field generated by the molecule. In a polar molecule, the charges are distributed unevenly, leading to a positive charge at one end and a negative charge at the other end. This separation of charges results in the dipole moment. Dipole moments are expressed in units of Debye (D), where 1 Debye equals approximately 3.336 x 10⁻³⁰ Coulomb meters (C*m).

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