A 5.0-kg box slides a 10.0-m distance on ice. If the coefficient of kinetic friction is 0.20, what is the work done by the fricitional force

The shortest braking distance at which the train should be stopped will be equal to 19.10 m.

In order to solve this problem we use the concept of Newton's Second Law of Motion according to which the force applied on any body is equal to the product of mass and acceleration. We divide the force into two components that is on horizontal axis and vertical axis.

The forces on vertical axis can be written as

N - W = 0

N = W = mg

where m is mass of the object and g is acceleration due to gravity, W is weight of object, N is external force.

The forces on horizontal axis can be written as

-Fr = ma

-μN = ma

-μ(mg) = ma

a = -μg

where a is acceleration, μ is coefficient of friction, Fr is the frictional force.

a = (-0.33)×(9.8) m/s²

a = -3.23 m/s² (it is negative because the train is stopping due to this)

We calculate the distance using the kinematics equation:

V² = U² + 2aS

where V is final velocity, U is initial velocity, a is acceleration and S is displacement.

S = (V² - U²)/2a

When the train stops the speed is zero that is final velocity is zero.

U =  40km/h = 40×(5/18) m/s = 11.11 m/s

S =  ( 0 - 11.11²) / 2 (-3.23)

S = 19.10 m

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Answer:

• riding on a Ferris wheel whose entrance and exit are the same

• walking around the block, starting from and ending at the same house

• running exactly one lap around a racetrack

Explanation:

Displacement simply means the.change in position of an object. In a situation whereby the initial and final position are thesame, the displacement will be zero.

The statements that describe a situation with a displacement of zero include:

• riding on a Ferris wheel whose entrance and exit are the same

• walking around the block, starting from and ending at the same house

• running exactly one lap around a racetrack

Answer:

• riding on a Ferris wheel whose entrance and exit are the same

• walking around the block, starting from and ending at the same house

• running exactly one lap around a racetrack

Explanation:

B,C,E

The minimum work needed to push a 1000 kg car 300 m up a 17.5-degree incline

Given by the following steps;

Step-We calculate the gravitational potential energy (GPE) of the car as it's lifted up the incline. This will be equal to the minimum work required to push the car up the incline. The GPE is given by;GPE = mgh. Where m = mass of the car = 1000 kg; g = acceleration due to gravity = 9.81 m/s²; h = height gained = 300 sin(17.5°) = 84.4 mGPE = mgh = 1000 × 9.81 × 84.4 = 829,944 J

Step 2If we consider friction, we can calculate the minimum work required as follows:Total work done = work done against gravity + work done against frictionW = GPE + work done against friction

Where the work done against friction is given by; Wf = friction force × distance × cos(θ)Here θ = angle of incline = 17.5° and the friction force is given by the product of the effective coefficient of friction (µ) and the normal force. The normal force is equal to the component of the weight of the car that acts perpendicular to the incline.Nf = mg cos(θ)Wf = µNf × distance × cos(θ) = µmg cos²(θ) × distance × cos(θ) = µmgdcos²(θ)W = mgh + µmgdcos²(θ)Substituting m, g, h, d, and µ into the equation gives;W = 1000 × 9.81 × 84.4 + 0.25 × 1000 × 9.81 × 300 × cos²(17.5)W = 1,454,392 J

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The equilibrium configuration at which the torque vanishes is θ=π/2, and deviations from equilibrium can be parameterized as θ=π/2−ϵ using power series expansions.

The term "equilibrium configuration" refers to the state of a physical system in which the net force and net torque acting on the system are both zero, and the system is not undergoing any acceleration or rotation.

A power series expansion is a mathematical technique used to express a function as an infinite sum of terms, where each term is a power of a variable multiplied by a coefficient. Power series expansions are often used in calculus and mathematical analysis to approximate functions and solve differential equations.

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It is important to understand the differences between physical and chemical changes. ... It helps to think of physical changes as those involving changes that don't change the make up of the substance, while chemical changes are those that create a new substance. Physical Changes involve energy.

Given:

The first force acting on the object is 61.

The second force acting on the object is 92.

The angle between two forces is 90.

The resultant force acting on the object is,

Substitute the known values,

Thus, the resultant force acting on the object is 110.4.

If you have a tire blowout when driving on the highway, you should not use your brakes until the vehicle has nearly rolled to a stop.

If you have a tire blowout when driving on the highway, you should not use your brakes until the vehicle has nearly rolled to a stop because at high speed the deviation is more.

Rolling is a type of motion that combines rotation and translation of that object with respect to a surface, such that, if ideal conditions exist, the two are in contact with each other without sliding. Rolling where there is no sliding is referred to as pure rolling.

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Answer: A 6:00 pm

Explanation: took the exam

Explanation:

0.75

According to the formula, P=IV

150 = I×200

Answer:

The angle will be 0 . The angle between the incident ray and the mirror is called angle of incidence while the angle between reflected ray and the normal is called angle of reflection. Here, the a ray of light is incident normally on a plane mirror.

Explanation:

Answer:

The change in entropy ΔS = 0.0011 kJ/(kg·K)

Explanation:

The given information are;

The mass of water at 20.0°C = 1.0 kg

The mass of water at 80.0°C = 2.0 kg

The heat content per kg of each of the mass of water is given as follows;

The heat content of the mass of water at 20.0°C = h₁ = 83.92 KJ/kg

The heat content of the mass of water at 80.0°C = h₂ = 334.949 KJ/kg

Therefore, the total heat of the the two bodies = 83.92 + 2*334.949 = 753.818 kJ/kg

The heat energy of the mixture =

1 × 4200 × (T - 20) = 2 × 4200 × (80 - T)

∴ T = 60°C

The heat content, of the water at 60° = 251.154 kJ/kg

Therefore, the heat content of water in the 3 kg of the mixture = 3 × 251.154 = 753.462

The change in entropy ΔS = ΔH/T = (753.818 - 753.462)/(60 + 273.15) = 0.0011 kJ/(kg·K).

a) At the higher power setting (1250W), we expect the resistance to be higher.

b) The resistance at the lower setting is 19.2 ohms.

c)The resistance at the higher setting is 11.52 ohms.

a) We can use the formula P = V^2/R, where P is power, V is voltage, and R is resistance. For a given voltage, the power output is proportional to the resistance.

Therefore, at the higher power setting (1250W), we expect the resistance to be higher.

b) At the lower setting (750W), we can use the formula P = V^2/R and solve for R:

R = V^2/P = (120 V)^2 / 750 W = 19.2 ohms

Therefore, the resistance at the lower setting is 19.2 ohms.

c) At the higher setting (1250W), we can use the same formula and solve for R:

R = V^2/P = (120 V)^2 / 1250 W = 11.52 ohms

Therefore, the resistance at the higher setting is 11.52 ohms.

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Answer:

You can get free fall in Earth's atmosphere as long as you move the air along with the falling object. This is how free fall is produced in reduced gravity aircraft. The aircraft itself is not in free fall because it has to use its engines to overcome atmospheric drag.

Explanation:

i hope it help

Lock any windows and doors that are open. Head to the centre or basement of the structure. The recommended course of action is to stay as far away from the building's walls and top as you can since radioactive.

If radon gas is allowed to build up in a residence, it not only poses a health concern to uranium miner but also to homeowners. It is typically the biggest source of exposure to natural radiation.

We have been surrounded by radiation throughout our development. Therefore, the low amounts we are exposed each day are something our bodies are built to handle. However, excessive radiation can harm tissues by altering cell structure and DNA. Cancer is only one of the significant health issues this can lead to.

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Answer:

B. 0.98 m/s

Explanation:

This is because we use the simple formula of dividing the distance by the time. In which case would be 13.69m (distance) divided by 13.92s (time) and we will get 0.983477011 or 0.98m/s (your answer)

I hope this made sense and hoped it helped. Good luck with your test luv :)

The joints that connect the four fingers (excluding the thumb) with the carpal bones are called metacarpophalangeal joints (MCP joints).

The metacarpophalangeal joints are located at the base of each finger, where the metacarpal bones of the hand articulate with the proximal phalanges of the fingers. These joints allow for flexion (bending) and extension (straightening) of the fingers and also provide some degree of rotational movement.

There are five metacarpophalangeal joints in total, one for each finger. They are commonly referred to as the knuckles.

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Answer:

Acceleration = 5m/s² Southeast

Explanation:

Given the following data;

Final velocity = 10 m/s

Time = 2secs

To find acceleration;

In physics, acceleration can be defined as the rate of change of the velocity of an object with respect to time.

This simply means that, acceleration is given by the subtraction of initial velocity from the final velocity all over time.

Hence, if we subtract the initial velocity from the final velocity and divide that by the time, we can calculate an object’s acceleration.

Mathematically, acceleration is given by the equation;

\(Acceleration (a) = \frac{final \; velocity - initial \; velocity}{time}\)

\(a = \frac{v - u}{t}\)

Where,

a is acceleration measured in \(ms^{-2}\)

v and u is final and initial velocity respectively, measured in \(ms^{-1}\)

t is time measured in seconds.

We know that Initial velocity = 0m/s

Substituting into the equation, we have;

\(a = \frac{10 - 0}{2}\)

\(a = \frac{10}{2}\)

Acceleration = 5m/s² Southeast.

answer

Q = B + A(P - 0)

steps

To linearize the equation Q = AP + B + P^2, we can use the following steps:

1. Write the equation in the form y = f(x). In this case, y = Q and x = P.

2. Find the first derivative of f(x). In this case, f'(x) = A + 2P.

3. Substitute the value of x = 0 into f'(x). In this case, f'(0) = A.

4. The linearized equation is y = f(0) + f'(0)(x - 0). In this case, the linearized equation is Q = B + A(P - 0).

Therefore, the linearized equation of Q = AP + B + P^2 is Q = B + A(P - 0).

Here is a graph of the original equation and the linearized equation:

[Image of a graph of the original equation and the linearized equation]

As you can see, the linearized equation is a good approximation of the original equation near P = 0. However, as P moves away from 0, the linearized equation becomes less accurate.

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ANOTHER WAY :

To linearize the expression `q=ap+b+p²`, we can use the first two terms of the Taylor series expansion of `q` around a point `p0`. The first two terms of the Taylor series expansion are:

```

q(p) = q(p0) + (dq/dp)|p=p0 * (p - p0)

```

where `dq/dp` is the derivative of `q` with respect to `p`.

We can find the derivative of `q` with respect to `p` as follows:

```

dq/dp = a + 2p

```

Substituting this into the Taylor series expansion, we get:

```

q(p) = q(p0) + (a + 2p0) * (p - p0)

```

This is a linear equation in `q` and `p`. Therefore, we have linearized the expression.

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Answer:

c

Explanation:

The element is Magnesium as it can form s a +2 ionic charge, and has 3 energy levels. Therefore, option A is correct.

The ionic charge can be described as the oxidation state of the chemical species. The cation exhibits a positive charge while the anion exhibits a negative charge. The number of valence electrons in atoms decides the charge carried by their ions.

In the modern periodic table, the chemical elements from the left side are electropositive and usually act as metals.  The metals donate one or more electrons thus they usually carry a positive charge on ions.

In the periodic table, the chemical elements from the right end are electronegative and usually act as non-metals. The non-metals can accept electrons thus they form anions.

The valence shell configuration of magnesium is 3s². Magnesium (Mg) can donate two electrons from its valence shell and carry a +2 ionic charge.

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The car that brakes hard will convert more kinetic energy to thermal energy compared to the car that brakes gently.

Kinetic energy is the energy an object has due to its motion. It is defined as the work required to accelerate an object from rest to its current velocity. The equation for kinetic energy (KE) is given by:

KE = 0.5 * m * v²

where

m is the mass of the object and

v is its velocity.

Kinetic energy is a scalar quantity and has units of joules (J) in the SI system. It is an important concept in mechanics and is used to calculate the energy of an object in motion, the energy transfer in collisions and other interactions, and the potential energy of an object in motion.

When a car brakes, its kinetic energy is transformed into thermal energy due to the friction between the brakes and the wheels. The harder the brakes are applied, the greater the friction and the more kinetic energy is converted into thermal energy.

As a result, the car that brakes hard will experience a greater amount of friction and convert more of its kinetic energy into thermal energy, leading to higher temperatures and more energy lost as heat compared to the car that brakes gently.

Therefore, the car that brakes hard will convert more of its kinetic energy into thermal energy due to the increased friction between its brakes and wheels, leading to a greater loss of energy as heat.

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Answer:

F = M a     Newton's Second Law

(250 -100) N = 50 kg a

a = 150 N / 50 kg = 3 m/s^2

Option D from the following is the solution concentration expressed in terms of mortality because it represents the number of moles dissolved in a liter of the solution.

A chemical compound is a combination of two or more either similar or dissimilar chemical elements.

The molarity of a solution is expressed in terms of the number of moles dissolved per liter of the solution.

The number of moles dissolved in a liter of the solution, represented by option D from the following, is the solution concentration stated in terms of mortality.

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Answer:

yes it is

Explanation:

From least to greatest energy, the types of radiation are:

a. Radio Waves

b. Microwaves

c. Infrared

d. Red Visible Light

Radiation refers to the emission of energy as electromagnetic waves or as moving subatomic particles, especially high-energy particles that cause ionization.

There are two main types of radiation: electromagnetic radiation and particulate radiation.

Electromagnetic radiation includes radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays. Particulate radiation includes alpha particles, beta particles, and neutrons. Radiation plays a critical role in various natural and technological processes, but excessive exposure to ionizing radiation can be harmful to human health.

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A. The amount of water. 50/50

Answer:

Actual mechanical advantage = force out / force in

250 N / 100 N = 2.5     force out is 2.5 X force provided

250 N * 10 m = 2500 Joules         work output

100 N * 50 m = 5000 Joules        work input

Efficiency is 2500 / 5000 = 50 %

Not sure what is meant by VR      

Answer:

heat energy

Explanation:

heat is the flow of thermal energy. A whole branch of physics

the magnitude of the magnetic field midway between the two wires is 5.0 × 10−5 T. Hence, option (B) is the correct answer.

Given data:

Two long parallel wires carry currents of 20 A and 5.0 A in opposite directions.

The wires are separated by 0.20 m.The magnetic field midway between the two wires is to be determined.Formula used:

B = (μ₀ * I * i)/(2πd)

Where,B is the magnetic field at the midpoint between two wires,μ₀ is the permeability of free space, which is equal to 4π × 10−7 T∙

m/ I is the current in the first wire, and i is the current in the second wire.d is the separation between the two wires.

Substitute the given values into the above formula,

B = (μ₀ * I * i)/(2πd) = (4π × 10−7 T∙m/A * 20 A * 5 A)/(2π * 0.20 m) = 5.0 × 10−5 T

Therefore, the magnitude of the magnetic field midway between the two wires is 5.0 × 10−5 T. Hence, option (B) is the correct answer.

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