A 24 kg crate initially at rest on a horizontal floor requires a 75 N horizontal force to set it in motion. Once the crate is in motion, a horizontal force of 53 N keeps the crate moving with a constant velocity. Find μk, the coefficient of kinetic friction, between the crate and the floor.

Answers

Answer 1

Answer:

The coefficient of kinetic friction is approximately 0.225

Explanation:

The given parameters are;

The mass of the crate = 24 kg

The force required to set the mass in motion = 75 N

The force required to keep the crate in constant velocity = 53 N

We have;

Sum of horizontal forces, ∑Fₓ = 0

∑Fₓ = The force pulling thing the crate - The force of friction - The force of acceleration of the crate

The force of acceleration of the crate = 0 (Crate with constant velocity)

The force of friction = [tex]\mu_k[/tex] × N

N = The normal (acting perpendicular to the surface) force = (Here) Mass of crate × Gravity

[tex]\mu_k[/tex] = The coefficient of kinetic friction

N = 24 × 9.81 = 235.44 N

The force of friction = [tex]\mu_k[/tex] × 235.44

∴ ∑Fₓ = The force pulling thing the crate - The force of friction

∑Fₓ = 53 - [tex]\mu_k[/tex] × 235.44 = 0

53 - [tex]\mu_k[/tex] × 235.44 = 0

53 = [tex]\mu_k[/tex] × 235.44

[tex]\mu_k[/tex] = 53/235.44 ≈ 0.225

[tex]\mu_k[/tex] = The coefficient of kinetic friction ≈ 0.225.

Answer 2

The coefficient of kinetic friction between the crate and the floor is 0.22.

The coefficient of kinetic friction μk shows the ratio between frictional force and normal force over a body on a rough surface.

Given that:

mass of the crate = 24 kgthe horizontal force [tex]\mathbf{F_{s,max}}[/tex] = 75 N

We need to first find the coefficient of static friction (μs) to determine (μk);

Using the formula:

[tex]\mathbf{\mu_s = \dfrac{F_{s, max}}{m\times g}}[/tex]

[tex]\mathbf{\mu_s = \dfrac{75 \ N }{24 \ kg \times 9.81 \ m/s^2}}[/tex]

[tex]\mathbf{\mu_s = \dfrac{75 }{235.44}}[/tex]

[tex]\mathbf{\mu_s =0.32 }[/tex]

Now, once the crate is in motion; the horizontal force = 53 NHowever, the net force  = 0; since F = Fk

The coefficient of kinetic friction can be computed as;

[tex]\mathbf{F = \mu_k \times N}[/tex]

[tex]\mathbf{ \mu_k = \dfrac{F}{N}}[/tex]

[tex]\mathbf{ \mu_k = \dfrac{f}{m \times g}}[/tex]

[tex]\mathbf{ \mu_k = \dfrac{53}{24 \times 9.8}}[/tex]

[tex]\mathbf{ \mu_k =0.22 }[/tex]

Therefore, we can conclude that the coefficient of the kinetic friction is 0.22

Learn more about the coefficient of kinetic friction here:

https://brainly.com/question/13754413?referrer=searchResults


Related Questions

what are duplet and octet elements??​

Answers

Active atoms tend to complete the number of electrons according to octet rule or duplet rule. The key difference between octet and duplet is that octet is an atom or an ion having a maximum of eight electrons in the outermost shell while duplet is an atom having the maximum of two electrons in the outermost shell.

Answer Choices:
A
B
C
D
E
F

Answers

Answer:

B, C

Explanation:

hi! at point A, D, and F, the object is at a constant speed because the line is horizontal. at point E, the object's speed is increasing because of the line's positive slope. B and C show the object slowing down because the line has a negative slope.

hope this helps!

What is population education?

Answers

Answer:

Is all about people – how many of us there are, how we shape the world around us, and how we interact with each other.

Explanation:

Answer:

Population is derived from French word "populous" meaning 'people' so population is study of people living together and education is life long knowledge.

Explanation:

sana makatulong

Define Fundamental unit and Derived Unit

Answers

Fundamental can not be broken down to anything simpler ( Kg, m , s, etc)

Derived can be broken down to simpler, fundamental units

As we move through the visible spectrum, red to violet (right to left in the image), the wavelength __________ and the frequency ____________.

Answers

Decreases and increases

Violet tending toward ultraviolet or higher frequency

Red is lower frequency “infra-red”. Low frequency.

how is meiosis like binary fission?​

Answers

Miosis is simair to mitosis that create gamtetes and zyotes together

Why was Democritus considered a philosopher and not a scientist?

Answers

Answer:

Democritus had no scientific instruments to extend the reach of his senses, so all of his experiments were just 'mind experiments', but because Democritus was a philosopher, he thought more into depth about why we humans are alive which led to the atomic theory.

Explanation:

1.a car sitting at rest on the road
balanced or unbalanced
explain your answer​

Answers

Answer:

Balanced force

Explanation:

Balanced Forces, When forces are in balance, acceleration is zero. Velocity is constant and there is no net or unbalanced force. ... Although friction is acting on the person, there is no change in velocity and friction is not a net force in this case. Friction is only a net force if it changes the velocity of a mass.

The car is balanced.

If there are any forced acting on it, then those are balanced too.

Billy, a mountain goat, is rock climbing on his favorite slope one sunny spring
morning when a rock comes hurtling toward him from a ledge 40.0 m above.
Billy ducks and avoids injury. a) How fast is the rock traveling when it passes
Billy? b) How does this speed compare to that of a car traveling down the
highway at the speed limit of 25 m/s (equivalent to 55 mi/h)?

Answers

Answer:

There is not enough information to solve how fast the rock was traveling

They are both very fast, as mountain goats are very fast, and if he ducks, he was faster than the rock. The speed compares

Explanation:

I did find this tho.

This question can be solved by using the law of conservation of energy.

a) The rock is traveling at "28 m/s" when it passes billy.

b) The speed of the rock is "1.12 times" the speed of the car.

a)

We can find the speed of the rock by using the law of conservation of energy:

Loss of Potential Energy = Gain in Kinetic Energy

[tex]mgh = \frac{1}{2}mv^2\\\\2gh = v^2\\v = \sqrt{2gh} \\\\[/tex]

where,

v = speed of the rock = ?

g = acceleration due to gravity = 9.81 m/s²

h = height = 40 m

Therefore,

[tex]v = \sqrt{2(9.81\ m/s^2)(40\ m)}[/tex]

v = 28 m/s

b)

Now, we find the ratio between the speed of the rock and the speed of the car:

[tex]\frac{speed\ of\ rock}{speed\ of\ car} = \frac{28\ m/s}{25\ m/s}\\\\speed\ of\ rock = (1.12)speed\ of\ car[/tex]

Learn more about the law of conservation of energy here:

https://brainly.com/question/20971995?referrer=searchResults

The attached picture explains the law of conservation of energy.

During a basketball game a kid tries to show off his fancy dribbling skills by going 3.5 m east and 5 m north. Dan is way too good to follow him through this unnecessary display. What magnitude and direction could Dan go to keep up with the other kid and only move in one straight line. Must show work for full credit
HELPP PLZZ

Answers

Answer:I litterly need a picture of this put  the pic and Ill edit this question

Explanation:

Why does the golf tee fall into the bottle when the hoop is pulled

Answers

Answer:

Gravity overcomes the hex nut's stationary inertia and moves the nut straight down into the bottle.

Explanation:

Hope this helps.

Have a good night ma´am/sir.

Be safe!

The heat felt when putting a hand near a light bulb this is an example of conduction, convection, radiation?

Answers

Answer:

conduction

Explanation:

Answer:

Radiation

Explanation:

Conduction: movement of something such as heat or electricity through a medium

Convection: movement in a gas or liquid in which the warmer parts move up and the cooler parts move down

Radiation: emission or transmission of energy in the form of waves or particles through space or through a material

______________ rock forms beneath Earth's surface.

Answers

Answer:

Igneous rocks form beneath Earth's surface.

Explanation:

Igneous rocks form beneath the Earth's surface

Which of these is formed by a hot spot in Earth's crust?

Answers

Answer:

we need to know what the choices are?

Explanation:

Answer:

A hot spot is a region deep within the Earth's mantle from which heat rises through the process of convection. This heat facilitates the melting of rock. The melted rock, known as magma, often pushes through cracks in the crust to form volcanoes.

A rubber band is shot parallel

Answers

Huh what are you asking

A cyclist accelerates from a set of traffic lights.
The driving force of the back tyre on the ground is 250 N.
(a)
How much work is done by this force when the cyclist travels 5 metres?
never mind i got it

Answers

Work equals Force times Distance. So Work = 250 Newton’s * 5 meters Work = 1,250

someone pls help me will give brainlist

Answers

Answer:

The volume is 5.6 L

The mass is 100.2g

Explanation:

Quantitative observations are more based on numbers and values

what is the definition inertia

Answers

Answer:

a tendency to do nothing or to remain unchanged

or...

resistance to change in some other physical property

You can choose the definition you like.

Hope this helps :)

Answer:

The tendency of a body at rest to stay at rest or of a body in motion to remain in motion .

Explanation:

Inertia is the tendency of objects to remain in motion or to stay at rest unless acted upon by an outside force.

how much time is required for an airplane to reach its takeoff speed of 77m/s if it starts from rest to average acceleration is 8.2 m/s

Answers

Answer:

t = 9.36 s

Explanation:

Given that,

Initial velocity, u = 0 (at rest)

Final velocity, v = 77 m/s

Acceleration of the airplane, a = 8.2 m/s²

We need to find the time required for an airplane to take off its speed 77 m/s. Let t be the time. using first equation of motion to find it as follows :

v=u+at

[tex]t=\dfrac{v-u}{a}\\\\t=\dfrac{77}{8.22}\\\\t=9.36\ s[/tex]

so, the airplane will take 9.36 seconds.

Se lanza una piedra de 3.00 N verticalmente hacia arriba desde el suelo. Se observa que, cuando está 15.0 m sobre el suelo, viaja a 25.0 m/s hacia arriba. Use el teorema trabajo-energía para determinar a) su rapidez en el momento de ser lanzada. b) su altura máxima

Answers

Answer:

(a). The speed at the moment of being thrown is 30.41 m/s.

(b). The maximum height is 47.18 m.

Explanation:

Given that,

Weight of stone = 3.00 N

Height = 15 m

Speed = 25.0 m/s

(a). We need to calculate the speed at the moment of being thrown

Using work energy theorem

[tex]W=\dfrac{1}{2}m(v_{2}^2-v_{1}^2)[/tex]

[tex]-mg\times d=\dfrac{1}{2}m(v_{2}^2-v_{1}^2)[/tex]

Put the value into the formula

[tex]-9.8\times15=\dfrac{1}{2}\times(v_{2}^2-v_{1}^2)[/tex]

[tex]-2\times9.8\times15=25^2-v_{1}^2[/tex]

[tex]-v_{1}^2=-300-25^2[/tex]

[tex]v_{1}=\sqrt{925}[/tex]

[tex]v_{1}=30.41\ m/s[/tex]

(b). We need to calculate the maximum height

Using work energy theorem

[tex][tex]W=\dfrac{1}{2}mv_{2}^2-\dfrac{1}{2}mv_{1}^2[/tex]

[tex]mg\times d=\dfrac{1}{2}mv_{2}^2-\dfrac{1}{2}mv_{1}^2[/tex]

Here, [tex]\dfrac{1}{2}mv_{2}^2[/tex]=0

[tex]-(mg)\times d=\dfrac{1}{2}mv_{1}^2[/tex]

[tex]d=\dfrac{v_{1}^2}{2g}[/tex]

Put the value into the formula

[tex]d=\dfrac{30.41^2}{2\times9.8}[/tex]

[tex]d=47.18\ m[/tex]

Hence, (a). The speed at the moment of being thrown is 30.41 m/s.

(b). The maximum height is 47.18 m.

y’all I would rlly appreciate if y’all gave me the answers to all my questions. My cousin has over 200 assignments she hasn’t done so I’m trying to help her and tbh I don’t know this stuff bc I’ve never done it in school.

Answers

Answer:

BB×bb cross is the answer

According to Karl Marx, a communistic society would

be composed entirely of bourgeoisie
be composed entirely of bourgeoisie

be made up of capitalists and the proletariat
be made up of capitalists and the proletariat

have a wide variety of social classes
have a wide variety of social classes

be classless

Answers

Answer:

be classless

I think im not sure

Explanation:

A car is initially moving at 10.5 m/s and accelerates uniformly to reach a speed of 21.7 m/s in 4.34 s. How far did the car move during this acceleration?
A. 69.9m
B. 6.99m
C. 69.6m/s
D. 6.99m/s

Answers

Answer:

A. 69.9m

Explanation:

Given parameters:

Initial velocity = 10.5m/s

Final velocity  = 21.7m/s

Time  = 4.34s

Unknown:

Distance traveled = ?

Solution:

Let us first find the acceleration of the car;

  Acceleration  = [tex]\frac{v - u}{t}[/tex]

  v is final velocity

   u is initial velocity

   t is the time

     Acceleration  = [tex]\frac{21.7 - 10.5}{4.34}[/tex]   = 2.58m/s²

Distance traveled;

     V² = U² + 2aS

    21.7² = 10.5² + 2 x 2.58 x S

   360.64 = 2 x 2.58 x S

     S = 69.9m

Eric is walking forwards at 0.5 m/s and then hears a black
bear charging from behind. He continues to move forward
and increases his speed to 10 m/s within 3 seconds. What was
Eric's acceleration?
0 3.2 m/s
O 3.2 m/s^2
0 -3.2 m/s^2
O 10 m/s^2
O Other:​

Answers

Answer:

3.2 m/s^2

Explanation:

current velocity minus intitial velocity, divided by time: a=(v2-v1)/t

How many hours would it take a plane to fly 1,500 miles if it was moving at a constant speed of 400 miles/hour.

Answers

It would take 3 hours and 45 minutes

It would take 3 hours and 45 minutes, for a plane to fly 1,500 miles if it was moving at a constant speed of 400 miles/hour.

Calculation

Round off 3.75 to the nearest one to give the hour value i.e., 3.The minutes are obtained by multiplying the fractional portion of the decimal value by 60, or 0.75 x 60 = 45.we have 3 hours and 45 minutes.What is speed?The distance traveled in a unit of time is called speed. It refers to a thing's rate of movement.This scalar quantity known as speed is the velocity vector's magnitude, It has no clear direction.A faster rate of movement is indicated by a higher speed. It is travelling more slowly if the speed is lower. It has zero speed if it isn't moving at all.The formula: can be used to determine the constant velocity of an object traveling straight forward.r = d / t

where,

r stands for rate or speed (sometimes denoted as v, for velocity)

d is the traveled distance.

t is the amount of time needed to finish the movement.

The average speed of an object over a period of time is given by this equation. We can see the object's average speed here, however at some moments over the time frame, it may have been moving faster or slower.As the time interval gets closer to zero, the maximum average speed is reached. The speed at that moment is what you see when you look at a speedometer in an automobile. While you may have briefly reached a speed of 60 mph, your average speed over the course of 10 minutes could have been much higher or much lower.M/s is the SI unit of speed (meters per second). Miles per hour or kilometers per hour are the most widely used units of speed in everyday life. A typical speed at sea is in knots, or nautical miles per hour.

To learn more about speed, refer to https://brainly.com/question/24739297

#SPJ2

calculate the kinetic energy possessed by a uniformly moving body of mass 40 kg if it covers 800m in 40 seconds​

Answers

Answer:

400J

Explanation:

s=d/t

s=800/40

s=20m/s

K.E= 1/2mv^2,

=1/2*40*20

=400 J


The distance is 10 meters. What is the variable?

Answers

The distance between two points needs to be measured, in meters. The true distance
between the points is 10 meters, but due to measurement error we can’t measure the
distance exactly. Instead, we will observe a value of 10+ϵ
ϵ, where the error ϵ
ϵ is distributed
(0,0.04)
N(0,0.04). Find the probability that the observed distance is within 0.4 meters of the
true distance (10 meters). Give both an exact answer in terms of Φ
Φ and an approximate
numerical answer.

A bus trip covers 191 km and takes 4 hours and 15 minutes. What is the average speed of the bus in kilometers per hour?

Answers

Answer: 46 kph

Explanation:

191 ÷ 4.15 = 46.02

It might not be right

I need help for 2 ASAP I haven’t been able to figure it out :(

Answers

a. 50 * Cos (60)
b. 50 * Sin (60)

As you grow and learn, your neurons continue to connect, making you better at the
things you do.

False
True

Answers

True. When you learn something new neurons make connections and retain that knowledge. That means the more you learn a skill the more connections you make and the more muscle memory you get from doing that skill. Thus you get better at that skill.

Answer:

true

Explanation:

Other Questions
Organizing by time; for example, listing a series of events or group of primary source documents by when it was first created, in order (Days, Weeks, Months, Years)A) alphabetical B)chronologicallyC)magnitudeD)category A large public corporation in the telecommunications industry has become so powerful that it uses its vast resources to prevent other companies from entering the market as a competitor. the federal courts determine the company to be an illegal monopoly and order it to be split into multiple separate corporations. why is this government action considered appropriate in americas free market economy?A. in a free market economy, it is important for wealth to be distributed evenly. B. by acting to disband a monopoly, the government is actually protecting competition and the free market. C. the government has extraordinary power to step in and intervene in cases dealing with public corporations. D. despite popular belief, America is not meant to have a free market economy. The price of ceramic tile at a discount tile store is represented on the graph below.What is the meaning and value of r at Point C?A. r represents the unit cost of ceramic tile, $0.80 for 1 ft2B. r represents the unit cost of ceramic tile, $1.25 for 1 ft2C. r represents the rate of increase of tile area per dollar, 0.80 ft2 per dollarD. r represents the rate of increase of tile area per dollar, 1.25 ft2 for $1Help please.. which two statement best express the central idea of the article help asap I will make you brainllest.10) Simplify the following expressions-|-4|+|-7.2|a)-11.2b)3.2c)11.2d)-3.211) What is the opposite of12)13)14) These two graphs show the same data. What isdifferent about the two graphs?the vertical scalethe horizontal scalethe width of intervalsthe starting values of the intervals Q100%What is 110 divide 2? what is the cause of pollution in the United Kingdom 1. Why were populations able to get so big? What happened that allowed this to happen?2. What do you think will happen if the populations of humans continued to increase3. What could happen that could limit the population or cause it to decrease ( Stop growing ) Activity 1: Smile Doc!Directions: Put before each item if you have undergone the procedure listed below.Copy the table and answer in your activity notebook. Please answer each of the itemshonestly1. Have you gone to a hospital/clinic/barangay center and been informedabout your general health status?2. When you had a problem with your teeth, did you consult your dentistand was informed about your dental condition?3. Are you aware with your growth rate?4. Have you visited the hospital to consult the doctor about your spinalcondition?Have you consulted a medical expert to test your ability to hear?6. Do you have an idea about your ideal weight appropriate to your age?Answer the following questions to process the above activity.1. How many items did you mark with a ? How many items you did not mark?2. Where can you avail the needed screening test?3. Based on the activity, what is the importance of screening test to our health? Jackson receives 4.63 as his change at the grocery store. He places it into a charity donation jar at the register.Write an addition equation to represent Jackson's net change in money.Enter your answer as an addition equation, formatted like this: 42+(-53)=-11Do not enter the dollar sign. Do not enter any units. Do not use spaces. What percent is equivalent to 1/25 George is making brown paint he wants to make brown paint he must mix purple and yellow paint together in a 1:1 ratio. In order to make purple he must mix red and blue paint together at a ratio of 2 quarts red to 1 quart of blue. How many quarts of yellow does he need Getting doubles when two dice are rolled. What did Caesar do to anger the Senators?please answer me the due date within 2 min, please guys help me What is the difference?-6-[11)-175 517 What does the term smalling up mean, according to white? What ways have you or people you know had to small up? If you havent, what ways could you? Why did Georgias leaders begin the land lottery system following the American Revolution?It begin as a way to redistribute American Indian lands that were taken by Georgia after the war. Write a poem with 3 stanzas describing the sound fall leaves make when you step on them Por lo general, (yo) your answeruna persona muy alegre,