A net force of 12 N is exerted on a box to cause it to accelerate at a rate 4 m/s2 . Determine the mass of the box?

Answers

Answer 1

Answer:

3.0 kg

Explanation:

F = ma

m = F/a = (12 N) / (4 m/s²) = 3.0 kg


Related Questions

strut ab of the 1-m-diameter hatch door exerts a force of 450 n on point b. (figure 1)

Answers

The questions is incomplete I answered it in general way

The resulting moment of force is 45 nm.

Calculation:

F = 450 N

x = 1 m

Moment of force = F ×x

Moment of force = 450 ×0.10nm

Moment of force = 45.0nm

An object experiences pushes or pulls as a result of its interaction with another object. There is a force operating on each object whenever there is an interaction between two items. There is no force acting on the two objects when the interaction ends.

There are four basic factors at work. Strong nuclear force, electromagnetic force, and gravitational force. The enormous nuclear force is the most potent of these four forces. This leads us to the conclusion that an object moves more quickly whenever the force acting on it is in the same direction as its motion.

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A certain capacitor has rectangular plates 56cm by 20cm and the gap width is .21mm. what is it's capacitance? A certain capacitor has rectangular plates 56 cm by 20 cm, and the gap width is 0.21 mm. What is its capacitance? We see that typical capacitances are very small when measured in farads. A one-farad capacitor is quite extraordinary! Apparently it has a very large area A (all wrapped up in a small package), and a very small gap s.

Answers

The capacitance of the capacitor is 47.22×10^-12F

What is capacitance of a capacitor?

Capacitance is the ratio of the charge Q and the potential difference between the two plates. Also the capacitance can be expressed as:

C = εA/d, In this equation, C is capacitance; ε is permittivity, a term for how well dielectric material stores an electric field; A is the parallel plate area; and d is the distance between the two conductive plates. It is measured in Farad

A = 0.56×0.20 = 0.112cm²

d = 21mm = 0.021m

ε = 8.854×10^-12F/m

C = εA/d

C =( 8.854× 10^-12× 0.112)/0.021

C = 47.22 × 10^-12 F

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How far above Mercury's surface would a Mercury geosynchronous satellite have to be if Mercury's mass, radius, and period are 3.30 x 1023 kg, 2439.00 km, and 1407.00 hours, respectively?​

Answers

Answer:

The mass of the satellite is: m=475kg

The height of the satellite from the surface of mercury is: h=265km

The mass of mercury is: M=3.30×1023kg

The radius is: r=2.24×106m

If there are 4Hz, how many waves per second are there?

Answers

Answer:

four cycles per second

(figure 1) is a snapshot graph at t = 0 s of two waves on a string approaching each other at 1 m/s.

Answers

Six values of the displacement of the string exist at x = 5.0 m at 1 s from t = 0 s to t = 6 s.

All the numbers existing between two specific integers are called as an interval. Out of these whichever umbers fall between these actual values are termed as range.

Intervals contain real numbers falling between two set numbers.

A snapshot graph at t = 0 s of two waves on a string coming towards one other at time interval of 1 m/s is provided. Then, the values of the string displacement at x = 5.0 m at 1 s from t = 0 s to t = 6 s are,

At t = 0

s,= Y₀= 0 cm

At t =1

s,= Y₁= 0 cm

At t = 2

s,= Y₂= 0 cm

At t =3

s,= Y₃= 0 cm

At t =4

= Y₄= 0 cm

At t = 5 s,

= Y₅=0 cm

At t = 6

s,= Y₆= 0 cm

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The complete question:

(Figure 1) is a snapshot graph at t = 0 s of two waves on a string approaching each other at 1 m/s.

1. List the values of the displacement of the string at x = 5.0 m at 1 s intervals from t = 0 s to t = 6 s.

an annulus with inner radius and outer radius lies in the plane. there is a constant electric field with magnitude , that makes an angle with the horizontal. what is the electric flux through the annulus?

Answers

To calculate the electric flux across a location, multiply the electric field by the surface area projected in a plane perpendicular to the field. On any closed surface, the universal law known as Gauss's Law is applied.

What is the sphere's electric flow like?

In the case of a sphere-shaped Gaussian surface with radius r > R, the electric field is directed outward and has the same strength at every point along the surface. Simply multiplying the electric field by the spherical surface's area yields the electric flux.

What is the electrical flux formula?

Electric flux (E) traveling through a surface of vector area S equals: E = ES = EScos if the electric field is uniform is the angle between the electric field lines and the normal (perpendicular to S), S is the area of the surface, and V/m is the magnitude of the electric field.

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How do you calculate frequency and rate?

Answers

Divide the number of times the event happens over the period of time to determine the frequency.

What is the rate of frequency?

The frequency index is the number of occupational accidents for 1,000 employees, whereas the frequency rate is the number of occupational accidents (work halted for more than one day) that occurred over a period of 12 months by one million hours worked.

Both frequency and rate count the number of times a behavior takes place. Since frequency, f, is 1/T, wave speed, frequency, and wavelength are related by the equation v = f. In contrast to frequency, rate is time-based. Calculating rate and frequency is simpler and more precise.

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A box decelerates as it moves to the right along a horizontal surface as shown in the
diagram.

Which vector best represents the direction of the force of friction on the box?

Answers

The direction of the vector of motion on the right then the direction of the force of friction on the box will be toward the left. Therefore, option D is correct.

What is frictional force?

Frictional force can be defined as the force generated by two surfaces coming in contact and sliding against each other. These forces are affected by the position of the object, surface texture, and angle.

Friction can be explained as the force that prevents the movement of the moving object when the surface of one object comes in contact with another.

The fractional force acting on an object can be represented as:

F = μmg

In the given diagram the box is moving in the right direction, Then the force of friction will act in the opposite direction. Therefore the vector in the left direction represents the direction of the force of friction on the box.

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While spending the day relaxing on the beach, Keisha notices that the Sun appears to move across the sky. What is the best explanation for why this is happening?
a. Earth's revolution
b. the Sun's tilt on its axis
c. the Sun's revolution
d. Earth's rotation on its axis

Answers

While spending the day relaxing on the beach, Keisha notices that the Sun appears to move across the sky. The best explanation for this is the Earth's rotation on its axis.

So basically, the earth keeps on rotating about its axis constantly. The change from day to night is due to the phenomenon of Earth's rotation on its axis only. The sun remains fixed, but the earth rotates. So for a person on earth, it seems like the sun rises and moves across the sky and then sets, but in reality, it is the earth that rotates on its axis.

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Calculate the time to fatigue and record in Lab Data Time: Force(kg): Number of Active motor Units: 0s 48 4 15s 43 3 30s 38 3 45s 30 2 60s 24 2 70s 19 1

Answers

The time to fatigue calculated from the given record in Lab data is preferably 60 seconds.

Time to fatigue is the time that is taken for muscle contraction to decrease by 50% of its maximum strength.

Force is the one that is measured by weight here. Here, as time progresses force is seen to come down.

When force is seen to come down, there is a decrease in the number of motor units that get employed as well.

Time to fatigue is the one where this force expressed as weight reaches half of the maximum.

Here, the maximum force expressed as kg is 48kg at 0 sec.

Half of 48kg is 24kg. This is the point where time to fatigue happens with a decreased number of motor units.

Here, we can see that at the 60th second , 50% decay which is 24 kg force happens with the help of only 2 motor units.

Hence, our time to fatigue here is preferably 60 seconds.

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which prototype is the most cost-effective solution per month? fast flight higher flyers orbit or bust infinity

Answers

The solution is Orbit or Bust. Because it has the shortest build time and the lowest cost. To make a jet, aerospace engineers require a lightweight material.

Identifying a problem, researching the problem, generating various solutions, selecting the best answer, creating a model, testing the model, refining and retesting the model as needed, and communicating the final solution are all steps in the technological design process. Identifying a need, creating and implementing a solution, and assessing the solution are the four stages of technology design. It starts with a product design challenge and ends with SRS, and the starting point is the project purpose statement, thus all options are false.

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Is the value of lambda constant?

Answers

Lambda is the symbol for wavelength it isn't a constant there for no standard value

it is linked to frequency:

frequency x Wavelength = speed of light (3x10^8)

What is lambda?

Lambda λ is a letter from the Greek alphabet.In physics, lambda λ is mainly used as a variable to denote or denote the wavelength of any wave.In nuclear physics and radioactivity, lambda is used to denote the decay constant of radioactivity.When it comes to electric fields, lambda is also used to denote the linear charge density of a uniform line of electric charge.

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a cancave shaving mirror has a focal length of 33 cm. calculate the image position of a cologne bottle placed infront of a mirror at distance of 93 cm. calculate the magnification of the image. is it virtual or real? is it inverted of upright?
HELPPP!
someone explain please

Answers

The position of the image of a cologne bottle is equal to 52cm. The magnification of the image is equal to 0.55 and the virtual image.

What is the mirror formula?

The reflecting part of the concave mirror is that which caves inwards and the reflecting part of a convex mirror is one which caves outwards.

[tex]\displaystyle \frac{1}{f}=\frac{1}{u}+\frac{1}{v}[/tex]

Where f is the focal length, u is the object distance and v is the image distance

Given, the focal length of the concave mirror, f = 33.0cm

The distance of the bottle, u = 93 cm

[tex]\displaystyle \frac{1}{33}=\frac{1}{93}+\frac{1}{v}[/tex]

1/v = 0.030- 0.0107

1/v = 0.0192

v = 52 cm

The magnification of the image, m = v/u = 52/93 = 0.55.

The image will be virtual.

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an ideal spring is used to fire a 15.0 g pellet horizontally. the spring has a spring constant of 20 n/m and is initially compressed by 7.0 cm. the kinetic energy of the pellet as it leaves the spring is:

Answers

The pellet has a kinetic energy of 4.9 10-2 J as it exits the spring.

The kinetic energy is absent.

Kinetic energy is the term for the energy present in an object in motion. Examples of kinetic energy include you walking down the street, the globe rotating around the sun, and motion in space. The relationship between kinetic energy and an object's mass and square of its velocity is direct: K.E. = 1/2 m v2.

Calculation:

To calculate the kinetic energy of the pellet, solve the energy conservation equation using the necessary variables as substitutes.

KE = EPE

KE = 1/2 kx²

KE = 1/2(20N/m) (7cm ×1/100cm)²

KE = 4.9 × 10⁻²J.

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Write a nuclear equation for the alpha decay of 236 94 pu

Answers

the nuclear formula for the 236 94 pu alpha decay.

236(top) 94(bottom) Pu ---> 4(top) 2(bottom) He + 232(top) 92(bottom) U

Nuclear processes such as "alpha decay," which releases a particle made up of two protons and two neutrons, allow unstable nuclei to transform into new elements. An alpha particle, which is just a helium nucleus, is an expelled particle that has this name. A positive charge and a sizable mass are two characteristics of alpha particles. Alpha particles can't penetrate very deeply into a material or go very far through the air due to their huge mass. Alpha decay is rarely employed in external medical radiation therapy since it only affects surfaces.

By examining how radiation is deflected by a magnetic field, Ernest Rutherford was able to distinguish alpha decay from other types of radiation in the beginning. You would anticipate a positive particle to deflect in the manner of alpha decay.

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State the law of gravity, and explain how this paper airplane investigation
proved Newton's law of gravity.

Answers

Based on Newton's law of gravity, the force of attraction on the airplane moving on Earth is directly proportional to the mass of the airplane and inversely proportional to the square of distance the airplane from Earth's surface.

What is Newton's law of universal gravitation?

Newton's law of universal gravitation states that the force of attraction between two objects in the universe is directly proportional to the product of their masses and inversely proportional to the square of the distance between the two objects.

Mathematically, this law is written as follows;

Fg = ( G m₁ m₂ )  / ( r² )

where;

G is the universal gravitation constantm₁ is the mass of the first objectm₂ is the mass of the second objectr is the distance between the two objects

From Newton's second law of law of motion we will have;

F = mg

mg = ( G m₁ m₂ )  / ( r² )

g = Gm / r²

Every object on  Earth surface moves with equal acceleration due to gravity which has a value of 9.8 m/s².

Thus, airplane flying on Earth surface will be affected by gravity and the weight or downward force on the airplane is a function of gravity.

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help please !!! determine the voltage

Answers

The voltage of given circuit is 5 volts.

What is Ohm's law?

Explanation of Ohm's Law, the relationship between current, voltage and resistance. The amount of continuous current flowing through many materials is directly proportional to the potential difference or voltage between them. Therefore, if the voltage V (in volts) across a wire made of one of these materials is tripled, the current I (in amperes) is also tripled. The quotient V/I remains constant. The quotient V/I for a particular piece of material is called the resistance R and is measured in units called ohms. The resistance of materials that obey Ohm's law does not change over vast voltage and current ranges. Ohm's law can be expressed mathematically as V/I = R.

Given,

I = 0.5 Amp

As all the four resistors are connected in series, total resistance of the circuit is:

R = 1 + 2 + 3 + 4

R = 10 Ω

Using Ohm's law:

V = IR

V = 0.5 × 10

V = 5 volts

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when a dentist takes x-rays, they must be careful to correctly interpret the results. in one study, it was found that dental students and new dentists were much more likely than experienced dentists to think the x-ray below showed a fracture in the tooth (pointed by the black arrow). but there is not really a fracture present. what illusion makes the 'fracture line' look darker and more serious to the less experienced dentists than it really is?

Answers

In a case whereby a dentist takes x-rays, they must be careful to correctly interpret the results. in one study, it was found that dental students and new dentists were much more likely than experienced the illusion that makes the 'fracture line' look darker and more serious to the less experienced dentists than it really is Mach bands.

What is Mach bands?

Mach bands  can be described as the illusory dark as well as the bright bars seen at the foot and knee of a luminance trapezoid this wa explained by Ernst Mach in the latter part of the 19th century however the  Mach bands  can be regarded as the test bed not only for models of brightness illusions but of spatial vision in general.

Therefore, in the bcase above the illusion that makes the 'fracture line' look darker  as wwell as serious to the less experienced dentists than it really is Mach bands.

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if a ball of volume v and density is fully submerged to a depth h in water of density pw. what is the formula for the boyuant force it experiences?

Answers

The buoyant force experienced by an object fully submerged in a fluid is given by the formula:

Fb = p * g * V

where Fb is the buoyant force, p is the density of the fluid, g is the acceleration due to gravity, and V is the volume of the object.

If you are given the volume and density of the ball and the density of the water, you can use this formula to calculate the buoyant force experienced by the ball. Simply plug in the appropriate values for p (the density of the water), g (the acceleration due to gravity, which is approximately 9.81 m/s^2 on Earth), and V (the volume of the ball).

It's important to note that this formula only applies to objects that are fully submerged in the fluid. If the object is partially submerged, the buoyant force will be less than what is calculated using this formula. In this case, you would need to take into account the volume of the object that is submerged in the fluid in order to calculate the buoyant force accurately.

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7. A particle carrying a charge of 10s C starts from rest in a uniform electric field whose intensity is 50 V/m. What
is the force on the particle? How much kinetic energy will the particle have after it has moved 5 m?
Ans:
5 x 10+ N, 2.5 x 10³ J

Answers

The force on the particle is equal to  5 ×10⁻⁴ N. The kinetic energy of the particle is 2.5 ×10⁻³ J.

What is an electric field?

An electric field can be described as the field that surrounds electrically charged particles and acts as a force on all other charged particles in the field.

The Coulomb force on a charge q at any point is equal to the product of the charge and the electric field at that point

[tex]{\displaystyle \mathbf {F} =q\mathbf {E} }[/tex]

The SI unit of the electric field is a volt per meter (V/m).

Given, the magnitude of charge, q = 10⁻⁵ C

The electric field, E = 50 V/m

The force on the particle, F = 50 × 10⁻⁵ = 5 ×10⁻⁴ N.

Work, W = K.E. = F.S = 5 ×10⁻⁴ × 5 = 25 × 10⁻⁴ = 2.5 ×10⁻³ J

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What is the strength of magnetic field known as MCQ?

Answers

The term "magnetic flux density" refers to the strength of the magnetic field. The Greek letter Phi or the Phi suffix B are frequently used to represent magnetic flux.

What is magnetic flux density? The quantity of magnetic field lines that travel through a specific closed surface is known as the magnetic flux. It offers a way to measure the total magnetic field that traverses a specific surface area. In this case, the area under examination can be of any size and oriented in any way relative to the magnetic field's direction.A flux meter is typically used to measure magnetic flux. The magnetic flux unit in SI and CGS is listed below:Weber is the magnetic flux SI unit (Wb).Volt-seconds are the base unit of measurement.Maxwell is the CGS component.

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a cave rescue team lifts an injured spelunker directly upward and out of a sinkhole by means of a motor-driven cable. the lift 1s performed in three stages, each requiring a vertical distance of 10.0 m: (a) the initially stationary spe- lunker is accelerated to a speed of 5.00 m/s; (b) he is then lifted at the constant speed of 5.00 m/s; (c) finally he is decel- erated to zero speed. how much work is done on the 80.0 kg rescuee by the force lifting him during each stage

Answers

Answer:

Below

Explanation:

Work = force x distance   ==>  the forces during the 3 stages are different

a)   I will assume accel is constant for the first 10 m

             Average velocity = 5/2 = 2.5 m/s

               10 m / 2.5 m/s = 4 seconds

                 then a = 5 m/s / 4 s = 1.25 m/s^2   <==this accel is added to 'g'

                          F = ma

                                = 80 * (9.81 + 1.25) = 884.8 N

                        W = 884.8 * 10 = 8848 J

b)   This one is easier    W = F * d =  (80)(9.81)(10) = 7848 J

c)    Now we decelerate  at 1.25 m/s^2 <==== this SUBTRACTS from g

           W = ( 80 )(9.81-1.25)*10 = 6848 J  

           

             

Answer:

C

Explanation:

Positive acceleration describes an increase in speed; negative acceleration describes a decrease in speed. C

a plano-convex glass lens of radius of curvature 2.9 m rests on an optically flat glass plate. the arrangement is illuminated from above with monochromatic light of 546-nm wavelength. the indexes of refraction of the lens and plate are 1.6. determine the radii of the first and second bright fringes in the reflected light.

Answers

0.000709 m , 0.00122 m is the radii of the first and second bright fringes in the reflected light.

What does "reflected light" mean in art?

In works of art, light that reflects off one thing and strikes a different object is known as reflected light. You are working with light no matter what topics you draw or paint or how you draw or paint them. How three-dimensional your drawing appears depends on how well you depict light.

R = Radius of curvature = 2.9 m

λ =  Wavelength = 559 nm = 546×10⁻⁹ m

Radius of bright fringe

r = [tex]\sqrt{(m+0.5)}[/tex]λr

The first bright fringe indicates that m = 0.

r = [tex]\sqrt{(0.5*559)*10^-9*1.8}[/tex] = 0.000709m

At m = 1, first-second fringe implies.

r = [tex]\sqrt{(1+0.5)559*10^-9*1.8}[/tex] = 0.00122m

∴The initial brilliant fringe has a radius of 0.000709 m. The second brilliant fringe has a radius of 0.00122 m.

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How long will it take for a radioactive sample to decrease to 10% if its half-life is 22 years?

Answers

If the half-life of a radioactive sample is 22 years, it will take 73.11 years for the sample to decay to 10%.

How is half-life used to calculate radioactive decay?

A fixed percentage of activity is lost during radioactive decay per unit of time. Half-life: The amount of time needed for a sample to degrade to 50% of its starting state. 1/2 = e –(λ*T1/2). constant over time and unique to each nuclide.

Do longer half-lives imply a lower radioactivity?

The term (physical) half-life refers to the amount of time needed for radioactivity to decline and split in half. Half of the radioactivity will remain after a period of time equal to the half-life has passed, and a further half of the radioactivity will remain after a period of time twice as long as the half-life has passed.

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What is the unit used to measure the frequency of a sound?

Answers

Hertz are used to measure frequency (Hz).This refers to the number of pressure waves per second that would pass a fixed place in the case of sound.

What does hertz mean? The hertz unit of frequency (Hz).In the case of sound, this refers to how many pressure waves would pass a fixed spot each second.The amount of vibrations per second that the sound-transmitting particles are producing is also the same.Ten waves would pass a given place in one second during a sound with a frequency of 10 Hz.The term "hertz" refers to a frequency (or change in state or cycle in a sound wave, alternating current, or other cyclical waveform) of one cycle per second.Cycles per second (cps), the previous word, is now obsolete.The pace of current direction changes each second is known as frequency.

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What is phase shift formula?

Answers

Answer:

Phase shift {F(x)} = Asin(Bx-C) + D.

Which of the following definitions best describes the concept of work?(a) the flow of energy from one object or substance to another due to a difference in temperature.(b) the flow of energy from one body to another through uniform molecular motion.(c) the force associated with molecular motion.(d) the random motion of molecules in a gas at low pressure.

Answers

I believe the answer is c

if a boat and its riders have a mass of 1200 kg and the boat drifts in at 1.7 m/s how much work does sam do to stop it?

Answers

The work done to stop the boat from the movement is 1020 J

The mass of the boat = 1200 kg

The initial velocity of the boat = 1.7 m/s

The final velocity of the boat = 0 m/s

The work done to stop the boat is the change in kinetic energy of the boat from movement to rest. It can be done by using the formula,

            W = ΔKE = 1/2mu² - 1/2mv²

where m is the mass of the boat

           u is the initial velocity of the boat

           v is the final velocity of the boat.

Let us substitute the known values in the above equation, we get

        W = 1/2 (1200)(1.7) - 1/2(1200)(0)

             = 1/2 x 1200 x 1.7

             = 600 x 1.7

             = 1020 J

Therefore, the work done is 1020 J

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which of the following most directly shows how affects physics

Answers

Air bags protect people during car crashes is an example that shows how physics affects society. The correct option to this question is D.

How physics is involved in air bags helpful?Your vehicle and everything inside of it are moving in one direction; therefore, for it to stop, force must be applied gradually in the other direction over time. This happens very quickly in an accident, and because the opposing force only has a little period of time to operate on the vehicle, the force is stronger. The airbag system is made to protect you from the damaging pressures that an accident can exert on you.Your airbag system is made up of three primary parts: the bag, the inflator, and the sensor. Before the airbag inflates, the sensor must detect a collision force roughly equivalent to running into a brick wall at a speed of 10 to 15 miles per hour.

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Complete question: Which of the following most directly shows how physics affects society

A.a perfume company designs a new fragrance

B.a patient is treated by acupuncture for an illness

C.gardeners uses fertilizers to help plants grow

D.air bags protect people during car crashes

What is a force that resists the sliding motion of two surfaces that are touching multiple choice question?

Answers

We can think of friction force is a force that resists the sliding motion of two surfaces that are touching one another. Kinetic friction is another name for this friction.

Kinetic friction force: what is it?As it increases to a certain degree before beginning to decline when greater power is applied to the object, this is actually best considered as the biggest benefit: The kinematic friction force is easy to calculate on a flat surface, but it is more difficult on an inclined surface.

Why is friction significant and what is it?Friction is simply the force that prevents something from slipping. Every object experiences kinetic friction, which prevents many objects from moving at once. The force acting in the opposite direction when an object wants to slide in that direction The brakes are applied precisely where necessary when an automobile wants to stop.

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how does one go about defining good and evil? Why is the act of drinking coffee symptomatic of globalization? Help me with this math assignment (The first paragraph is paragraph 9) 3. Part A: How does Ostergaard develop her claim in paragraph 9 that"Eleanor wanted to redefine the role of First Lady, a controversialmove for women at the time"?O A She gives several examples of the activities Eleanor engaged in thatwere atypical for women, and the negative response she receivedfrom many Americans.OB She contrasts Eleanor Roosevelt's outspokenness as First Lady withthe more traditional relationship she had with Franklin earlier intheir marriage.OC She offers a thorough analysis of why previous First Ladies had notdone enough to serve the American people.OD She builds an argument that Eleanor Roosevelt was a strongadvocate for civil rights and greatly influenced her husband tosupport this cause. What is a ritardando? PLZ HELP!!!!!!!!!!!!!change in directionspeed up in tempogradual decrease in temporepetition What were the characteristics of Chinese communism and how did it differ from Sovietcommunism? Look at the attached photo: Read this passage from a speech given by President Ronald Reagan in 1987:And now the Soviets themselves may, in a limited way, be coming to understand the importance of freedom. We hear much from Moscow about a new policy of reform and openness. Some political prisoners have been released. Certain foreign news broadcasts are no longer being jammed. Some economic enterprises have been permitted to operate with greater freedom from state control.Are these the beginnings of profound changes in the Soviet state? Or are they token gestures, intended to raise false hopes in the West, or to strengthen the Soviet system without changing it? We welcome change and openness; for we believe that freedom and security go together, that the advance of human liberty can only strengthen the cause of world peace. There is one sign the Soviets can make that would be unmistakable, that would advance dramatically the cause of freedom and peace.General Secretary Gorbachev, if you seek peace, if you seek prosperity for the Soviet Union and Eastern Europe, if you seek liberalization: Come here to this gate! Mr. Gorbachev, open this gate! Mr. Gorbachev, tear down this wall!What aspect of President Reagan's role in the collapse of communism does this passage illustrate?A.His distrust of Mikhail Gorbachev and his continual threat to attack the Soviet Union.B.His work to restructure the economy of the Soviet Union through perestroika.C.His policy of sending monetary aid to the Soviet Union so it could overcome communism.D.His practice of placing a great deal of political pressure on the Soviet Union to make drastic changes. Cules son los principales partidos y movimientos polticos que existen en Colombia An example of a site in England that was begun during the Neolithic Age andcompleted during the Bronze Age is please answer asap NO SCAM LINKS. This data set shows the ages of the last 12 winners of aprestigious film award for Actress in a Leading Role.61, 32, 33, 45, 29, 62, 22, 44, 54, 26, 28, 60Calculate the statistics of mean and standard deviationof the data set. Round to the nearest hundredth, ifnecessary.O mean 38.50 and standard deviation - 14.89O mean 38.50 and standard deviation = 40O mean = 41.33 and standard deviation = 40mean 41.33 and standard deviation - 14.89 The ratio of the side lengths of a triangle is 7 : 24 : 25. The perimeter ofthe triangle is 392 inches.a. Find the side lengths. Then classify the triangle by its side lengths.b. Analyze Is the triangle a right triangle? How do you know? Which is the simplified form of p? O p O 1/p O 0 O 1 29. The table shows the average annual salary in dollars based on the minimum level of education required for two occupations. Based on the average annual salaries in the table, how much more would an accountant eam than a tax preparer over a 30 year career? Occupations Occupation Average Annual Salary (dollars) Level of Education Required Accountant 71,040 41,700 Bachelor's degree High school diploma Tax preparer A $112,740 B. $3,382,200 C. $880,200 D. $1,251,000 To learn more about why his pumice sample was shrinking, Ben Kennedy studied The term greenhouse effect describes Group of answer choices the trapping of heat energy in the stratosphere by nitrogen efforts by the White House to support environmental legislation the trapping of heat energy in the troposphere by certain gaseous molecules the trapping of heat energy in the troposphere by nitrogen occupational diseases of florists In 42 of the 64 years from 1950 through 2014,the S& P 500 finished higher after the first five days of trading (in 2011 there was virtually no change). In 37 out of 42 years, the S&P 500 finished higher for the year. Is a good first week a good omen for the upcoming year? The following table gives the first-week and annual performance over this 64-year period. S&P 500's Annual Performance First week Higher Lower Total Higher 37 5 42 Lower 11 11 22 Total 48 16 64 a) If a year is selected at random, what is the probability that the S&P 500 finished lower for the year? b) Given that the S&P finished lower after the first five days of trading, what is the probability that it finished lower for the year? c) Are the two events "first week performance" and "annual performance" independent or dependent? Explain why. What does the context suggest is the most likely meaning of diverged in these lines from The Road Not Taken?Two roads diverged in a yellow wood,And sorry I could not travel bothAnd be one traveler, long I stood.branched away from each otheroffered an invitation to travelersran parallel to each otherlooked similar to each other 4. A room 6 m long, 4 m wide issurrounded by a verandah. Find thewidth of the verandah, if it occupies24 square metre.5. A garden 18 m long and 15 m wide issurrounded by a path 3 m wide. Find thearea of the pathThe diagram shows a field withmeasurements in metres. Find the areaof the field.18