A racing car of 100kg move round a bank track at a constant speed of 108km /h assuming the total reaction at the horizontal radius of the track is 100m calculate the angle of inclination of the track reaction at the wheel ( Take g as 10.0)​

given data

the mass of a hoop with a radius of 1.0m is 6.0kg.

it rolls across a horizontal surface with a speed of 10.0m/s

we know that,

Total energy of the hoop=Translational Kinetic energy+ Rotational Kinetic energy=21mv2+21Iω2

For hoop, I=mr2

Also v= r ω

Thus total energy=21mv2+21mr2(r v)2=mv2

Hence the work required to stop the hoop=Its total energy=mv2=100×0.1J=1J

1JOULE work is required stop to hoop.

What is translational energy?

translational energy (plural translational energies) (physics) The energy of the molecules of a fluid due to motion (translation rather than rotation or vibration).

What is an example of translational kinetic energy?

A train moving along a railroad track, an object in free fall due to gravity, a car driving on a road, the motion of a bullet fired from a gun, or the expansion of a galaxy are examples of translational kinetic energy.

rotational energy

Rotational energy, or angular kinetic energy, is the kinetic energy due to the rotation of an object and is a fraction of its total kinetic energy.

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Answer:

there are 1,000m in a km, so 200km is 200,000m

200,000m/10m/s = 20,000s

Explanation:

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Answer:

We are given both the Force applied by the truck and the acceleration of the  truck:

Force applied (F) = 14,000 N

Acceleration (a)=  5 m/s²

Solving for the mass of the truck:

From Newton's second law of motion,

F = ma    (where F is the force applied , m is the mass of the object and a is the acceleration of the object)

replacing the variables:

14000 = (m)* 5

m = 14000/5

m = 2800

Therefore, the mass of the truck is 2800 kg

Answer:

m = 2800 N

Explanation:

14000 = (m)* 5

m = 14000/5

F= 14,000 N

a= 5 m/s^2

Answer: you have to divide and multiple fam

Explanation:

A program that could do an instantaneous analysis of video motion will be useful it in a sportscast to analyze events as they occur.

A motion video is defined as the display of video images at a rate (such as thirty frames per second) that causes objects to appear to move smoothly and continuously.

Sports inherently involve fast and accurate motion, which can be difficult for competitors to master but also for coaches and trainers to analyze and audiences to follow. Because of the nature of most sports, monitoring with sensors or other devices attached to players or equipment is generally not possible. This opens up a plethora of opportunities for the use of computer vision techniques to assist competitors, coaches, and the audience

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The development of complex societies depends of the Northwest Coast tribes on;

The term society just has to do with people that are found to live around a give geographical area. This is the way the people tend to live along with the civilization that they may tend to have actually created over a long period of time as we can see.

Having said thus, the people of the are the people that there originally found around the west of which the original native Americans also formed a huge part of. These were the people that tend to be found around the Americas before the onset of modern civilization as we can se.

The factors that  helped Northwest Coast tribes develop complex societies are found in the section above. These factors saw to the development of the region.

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If the participants hadn't been reassigned, age would have been a confounding variable. Option D

A confounding variable is a variable that is associated with both the independent variable and the dependent variable.

In this case, age is associated with both video game playing and mood. Younger people are more likely to play video games, and they are also more likely to have better moods.

If the participants hadn't been reassigned, the difference in mood between the experimental and control groups could have been due to the difference in age, not the difference in video game playing.

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that the relative placements of the charges as well as their multiples affect a set of ions' potential energy. When the specific charge have the same sign or have equal signs, the energy is positive. Or else, it is negative.

The force acting just on two objects affects the potential energy formula. The formula for gravitational force is P.E. (= mgh, where g seems to be the acceleration caused by gravity (9.8 m/s2 at the earth's surface) while h represents the elevation in metres.

As a result, the system's potential energy equals the sum of a work that was done to set up the entire system of two counts. The potential energy that exists in the combination of two charges in such an external field can be stated as follows: q1V(r1) = q2V(r2) + (q1q2/4or12).

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Answer:

87

Explanation:

Answer:

D. Gas

Explanation:

There are only three states of matter: solid, liquid and gas. This makes choice c (Mixture) incorrect because it is not part of the group.

The particles in gas are widely separated, which means there's a lot of free space between the particles. This makes it easily compressible. The particles then move past each other, which causes no regular arrangement.

The minimum mass required to be placed on the 0.00 cm mark of the meter stick to maintain equilibrium is 0.120 kg.

To maintain equilibrium, the torques acting on the meter stick must balance each other. The torque is given by the formula:

τ = r * F * sin(θ)

where τ is the torque, r is the distance from the pivot point to the point where the force is applied, F is the force applied, and θ is the angle between the force vector and the lever arm.

In this case, the meter stick is in equilibrium when the torques on both sides of the pivot point cancel each other out. The torque due to the weight of the meter stick itself is acting at the center of mass of the meter stick, which is at the 50.0 cm mark.

Let's denote the mass to be placed on the 0.00 cm mark as M. The torque due to the weight of M can be calculated as:

τ_M = r_M * F_M * sin(θ)

where r_M is the distance from the pivot point to the 0.00 cm mark (which is 30.0 cm), F_M is the weight of M, and θ is the angle between the weight vector and the lever arm.

Since the system is in equilibrium, the torques on both sides of the pivot point must be equal:

τ_M = τ_stick

r_M * F_M * sin(θ) = r_stick * F_stick * sin(θ)

Substituting the given values:

30.0 cm * F_M = 20.0 cm * (0.0400 kg * 9.8 m/s^2)

Solving for F_M:

F_M = (20.0 cm / 30.0 cm) * (0.0400 kg * 9.8 m/s^2)

F_M = 0.0264 kg * 9.8 m/s^2

F_M = 0.25872 N

Finally, we can convert the force into mass using the formula:

F = m * g

0.25872 N = M * 9.8 m/s^2

M = 0.0264 kg

Therefore, the minimum mass required to be placed on the 0.00 cm mark of the meter stick to maintain equilibrium is 0.120 kg.

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The radius of a helium atom 4.8 times bigger  then the radius of an alpha particle.

The structure of alpha particles, also known as alpha rays and alpha radiation, is similar to that of the helium-4 nucleus and has been made up of two protons as well as two neutrons bonded together.

For welding metals like aluminum, helium was utilized as an inert gas environment. It is also employed in rocket propulsion.

The radius of a helium atom 4.8 times bigger  then the radius of an alpha particle. More precisely than it's ever been, the diameter of the helium atom's nucleus, the alpha particle, had also been measured. Outcomes just point to a size of 1.6782 femtometers, 4.8 times more accurate than earlier readings.

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Answer /The wave with frequency 100 will have its crests farther apart as its wavelength Will be more or elevated.

Explanation:

For sound waves, the velocity ‘v’ is equal to the product of wavelength (λ) and frequency (f) i.e. (v = n × λ or v/n = λ). Therefore, frequency is indirectly proportional to the wavelength.

The sound wave with frequency 100 will have its crests farther apart from each other as frequency is indirectly proportional to the wavelength. The speed of a wave is uninfluenced by variation in the frequency. Therefore, the less frequency wave will have more wavelength.

The arrow that represents the change of state of the substance is gaseous to liquid (O).

A change of state occurs when a matter gains or losses energy.

A liquid can change into solid or gas. A gas change into liquid or solid, depending on the average change in temperature.

The initial state of the substance is gas, because the atoms of the substance are far apart.

When the atoms are close together but are able to slide past one another, the state is liquid.

Note: atoms of solid substance are fixed.

Thus, the arrow that represents the change of state of the substance is gaseous to liquid (O).

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Considering the investigation and the observation made we can say the arrow that represents the change of state is: O

A change of state is the process by which a matter changes from one physical form to another.

in change of state we have mainly three states: Liquid, Gas and Solid.

Changing from gas to liquid is called condensation, because the atoms of gases move freely and faster. but once the speed reduces and their movement becomes restricted, then we say a condensation has occurred.

In conclusion, from the observation made, we can say the arrow that represents the change is Arrow O. which is from gas to liquid.

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The angular diameter of Mars in radians and in arc minutes and the evaluation of the capability of human eyes to resolve Mars of diameter 6.8 × 10³ km, located 5.5 × 10⁷ km away are as follows;

(d) The angular diameter of Mars is 1.23\(\overline{63}\) × 10⁻⁴ rad

(e) The angular diameter in arc minutes is about 0.425 arc minute.

The angular diameter is an apparent dimension used to describe the size of a circular object, observed from a specified point of view or location.

The diameter of Mars = 6,800 km

The closest distance between Mars and Earth when Mars gets closest to Earth = 55,000,000 km

(d) The angular diameter of Mars can be obtained by finding the vertex angle formed by the diameter of Mars and the ray from the observer on Earth to the left and right extremities of Mars using the trigonometric ratio of tangent as follows;

Angular diameter = 2 × arctan((6,800/2)/55,000,000) = 0.000123636363 radians

The angular diameter of Mars as observed from Earth is 1.23\(\overline{63}\) × 10⁻⁴ radians

(e) 1 radians = 3437.75 arc minute

0.000123636363 radians = 0.000123636363 × 3437.75 arc minute

0.000123636363 × 3437.75 ≈ 0.425

Therefore;

0.000123636363 radians ≈ 0.425 arc minute

The specified level of detail that the human eye can resolve is one arc minute (1')

The apparent angular diameter of Mars, which is about 0.425 arc minute is lesser than the angular limit of detail of one arc minute that the eye can resolve, therefore, humans can not resolve Mars without optical aid.

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Answer:

dimensions of k are  kg / s^2

Explanation:

F=ma   (Newton's second law)

F=-kx   (Hooke's law)

so equate both

-kx = ma

k = -ma/x

= mass * acceleration / distance  (dimensions, -1 has no dimension)

= kg * m/s^2 / m

= kg / s^2

Answer:

Since this is a linear equation

y = m x + b     or

U = m F + b     is a linear equation

when ΔF = (212 - 32) = 180

and ΔU = (60 - (-15)) = 75

m = 75 / 180 = 2.4 if converting F to U and a = .417

U = .417 F + b

If F = 32 then U = -15 and

-15 = .417 * 32 + b

b = -15 - 13.3 = -28.3 and our equation becomes

U = .417 F - 28.3

Check: let F = 212

U = .417 * 212 - 28.3 = 60          as it should

Answer:

Distance is 100m, displacement is 0m

Explanation:

Distance is how much you travelled in total (100m)

Displacement is when you compare your final and initial positions.

It is usually Final position - Initial position.

Since you start and finish at the same point, it would be 0 - 0 = 0m

So the displacement is 0m.

a) The final pressure and temperature for the isothermal compression are \(4.5*10^5 Pa\) and 293 K, respectively, while  b) the final pressure and temperature for the adiabatic compression are\(5.58*10^5 Pa\) and 515 K, respectively.

a. Isothermal compression:

For an isothermal process, the temperature remains constant. Therefore, we can use the ideal gas law:

PV = nRT

where P is the pressure, V is the volume, n is the number of moles of gas, R is the gas constant, and T is the temperature.

Since the process is isothermal, we can write:

\(P_1V_1 = P_2V_2\)

where P1 and V1 are the initial pressure and volume, and\(P_2\)and\(V_2\)are the final pressure and volume.

We are given that the volume is compressed to 1/3 of its original volume, so\(V_2 = (1/3)V_1\). Substituting this into the equation above gives:

\(P_2 = (V_1/V_2)P_1 = 3P_1\) = \(4.5*10^5 Pa\)

To find the final temperature, we can use the ideal gas law again:

PV = nRT

Rearranging, we get:

T = PV/(nR)

Substituting the values we know, we get:

T = (\(1.5*10^5\)Pa)(V1)/(nR)

Since the process is isothermal, the temperature remains constant, so the final temperature is the same as the initial temperature:

T2 = T1 = 293 K

b. Adiabatic compression:

For an adiabatic process, there is no heat transfer between the gas and its surroundings. Therefore, we can use the adiabatic equation:

PV^γ = constant

where γ = Cp/Cv is the ratio of specific heats.

Since the process is adiabatic and reversible, we can write:

\(P_1V_1\)^γ = \(P_2V_2\)^γ

We are given that the volume is compressed to 1/3 of its original volume, so V2 = (1/3)V1. Substituting this into the equation above gives:

\(P_2 = P_1(V_1/V_2)\)^γ = \(P_1\)\((3)^{(1.4)\) = \(5.58*10^5 Pa\)

To find the final temperature, we can use the adiabatic equation again:

\(T_2 = T_1(P_2/P_1)\)^((γ-1)/γ) = T1(5.58/1.5)^(0.4) = 515 K

Therefore, the final pressure and temperature for the isothermal compression are \(4.5*10^5 Pa\)and 293 K, respectively, while the final pressure and temperature for the adiabatic compression are \(5.58*10^5\) Pa and 515 K, respectively.

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The electron number cannot be used instead because electrons can be removed from or added to an atom (option C)

The element of an atom is determined by its proton count, while the electron count can exhibit variability. Take, for instance, a sodium atom, which encompasses 11 protons and 11 electrons. However, it has the capacity to relinquish one electron, transforming into a sodium ion housing only 10 electrons.

This occurs due to the relatively loose binding of electrons to the nucleus, enabling their removal through the influence of an electric field or alternative mechanisms.

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Answer:

506.25

Explanation:

Answer:

The correct answer is "24 V".

Explanation:

The given values are:

Current,

I = 0.50 A

Resistance,

R = 12 W

As we know,

⇒ \(I = 0.5\times (\frac{E}{2R})\)

On substituting the given values, we get

⇒ \(0.5= (\frac{E}{4\times 12} )\)

⇒ \(0.5= (\frac{E}{48} )\)

⇒   \(E=24 \ V\)  

It reasonable to expect that anyone would be able to make good sense of a filing system as it reduces the overall storage space occupied by the records.

This is the process of keeping document safely and being able to easily retrieve them.

The new filing system is based on their volume which is why the space is reduced thereby reducing the ambiguity.

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Answer: Limestone Caves

Explanation: The most common feature that can be caused purely by chemical weathering is Karst Landscape, which can lead to caverns and sinkholes.

Answer:

Choice E.

Amplitude: \(20\; {\rm cm}\).

Frequency: \(2\; {\rm Hz}\).

Explanation:

The amplitude of a simple harmonic motion (SHM) is the maximum displacement from equilibrium.

In this question, the equilibrium is in the center of the two extremes. With one extreme at \(x = 10\; {\rm cm}\) and the other at \(x = 50\; {\rm cm}\), the center will be at \((1/2)\, (10 + 50)\; {\rm cm} = 30\; {\rm cm}\).

The maximum displacement will be \((50\; {\rm cm} - 30\; {\rm cm}) = 20\; {\rm cm}\) (or equivalently, \((30\; {\rm cm} - 10\; {\rm cm}) = 20\; {\rm cm}\).

Frequency measures the number of cycles completed in unit time (e.g., one second.) In one full cycle of an SHM, the oscillator will travel from one extreme to another and then back to the original extreme. In this question:

In other words, one full cycle of this SHM will take \(0.25\; {\rm s} + 0.25\; {\rm s} = 0.50\; {\rm s}\). The period of this SHM will be \(0.50\; {\rm s}\). Hence, the frequency of this SHM will be:

\(\begin{aligned} (\text{frequency}) &= \frac{1}{(\text{period})} \\ &= \frac{1}{0.50\; {\rm s}} \\ &= 2\; {\rm Hz}\end{aligned}\).

We have that the tension in rope 2 is mathematically given as

the tension in rope 2 is

From the question we are told

A crate hangs from a rope that is attached to a metal ring.

The metal ring is suspended by a second rope that is attached overhead at two points, as shown.

What is the angle if the tension in rope 1 is 0.640 times the tension in rope 2?

Generally the equation for the Tension  is mathematically given as

\(Tcos\theta+0.640\theta-T_1=0\\\\Therefore\\\\ZTcos \theta-0.640T=0\\\\Cos=0.32\\\\\theta=71.3\\\\\)

Therefore

the tension in rope 2 is

\(\theta=71.3\)

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The resulting net electrical charge of the materials in this system is C: The net electrical charge remains neutral as electrons are transferred from one material to the other.

When two neutral materials are rubbed together, friction can cause the transfer of electrons from one material to another. Electrons, which carry a negative charge, can move from one material to the other during this process. However, it is important to note that the total number of electrons in the system remains the same.

Since electrons are transferred from one material to the other, the material that gains electrons becomes negatively charged, and the material that loses electrons becomes positively charged. These charges balance each other out, resulting in a neutral net electrical charge for the overall system.

Therefore, the net electrical charge of the materials in this system remains neutral, even though there is a transfer of electrons between them. Therefore, Option C is correct.

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The 10/90 principle can be a powerful tool for taking control of your situation and improving your life. By taking responsibility for what you can change and focusing on your reaction to the situation, you can make positive changes in your life and become the master of your own destiny.

The 10/90 principle refers to the idea that life is made up of 10% of what happens to you and 90% of how you respond to it. In other words, you may not be able to control what happens to you, but you can control your reaction to it. By taking responsibility for what you can change rather than being a victim of what you cannot change, you can take control of your situation and improve your life.One example of a situation where the 10/90 principle could be applied is losing a job. Losing a job can be a devastating experience, and it can be easy to feel like a victim in this situation. However, by applying the 10/90 principle, you can take control of your situation and make positive changes in your life.The first step in applying the 10/90 principle in this situation would be to take responsibility for what you can change. This could mean updating your resume, networking with others in your field, and applying for new jobs. By taking action and doing what you can to find a new job, you are taking control of your situation and improving your chances of finding a new job.
The second step would be to focus on your reaction to the situation. Instead of dwelling on the negative aspects of losing your job, try to focus on the positive aspects. This could mean using the extra time to pursue a new hobby or spend more time with family and friends. By focusing on the positive aspects of the situation, you are taking control of your reaction and improving your overall well-being.
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The ray does not bend when it enters the semi circular glass block - Light ray incident on semicircular block at 90 degrees, therefore there is no change in the direction of ray at P.

Electromagnetic radiation that falls within the region of the electromagnetic spectrum that the human eye can see is known as light or visible light.

Light is electromagnetic radiation that the human eye can perceive. From radio waves with wavelengths measured in meters to gamma rays with wavelengths shorter than around 1 1011 meters, electromagnetic radiation occurs throughout an incredibly broad range of wavelengths.

Light governs our sleep-wake cycle and is crucial to our health and wellbeing. In actuality, "light" that is visible is a type of radiation, which is just energy that moves in the form of electromagnetic waves. It can alternatively be explained as a flow of "wave-packets," or particles, known as photons.

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