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

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Related Questions

What is the magnitude of the relative angle φ
with which the ski jumper hits the slope?
Answer in units of ◦
.

Answers

Complete question is;

A ski jumper travels down a slope and leaves the ski track moving in the horizontal direction with a speed of 24 m/s. The landing incline below her falls off with a slope of θ = 59◦ . The acceleration of gravity is 9.8 m/s².

What is the magnitude of the relative angle φ with which the ski jumper hits the slope? Answer in units of ◦

Answer:

14.08°

Explanation:

The time covered will be given by the formula;

t = (2V_x•tan θ)/g

t = (2 × 24 × tan 59)/9.8

t = 8.152 s

Now, the slope of the flight path at the point of impact will be given by the formula;

tan α = V_y/V_x

We are given V_x = 24 m/s

V_y will be gotten from the formula;

v = gt

Thus;

V_y = gt

V_y = 9.8 × (8.152) = 78.89 m/s

Thus;

tan α = 78.89/24

tan α = 3.2871

α = tan^(-1) 3.2871

α = 73.08°

Thus ;

Relative angle φ = α - θ = 73.08 - 59 = 14.08°

A cell phone weighing 80 grams is flying through the air at 15 m/s. what is the kinetic energy?

Answers

Answer:

The answer is 9 J

Explanation:

The kinetic energy of an object can be found by using the formula

[tex]KE = \frac{1}{2} m {v}^{2} \\ [/tex]

where

m is the mass

v is the velocity

From the question

m = 80 g = 0.08 kg

v = 15 m/s

We have

[tex]KE = \frac{1}{2} \times 0.08 \times {15}^{2} \\ = 0.04 \times 225[/tex]

We have the final answer as

9 J

Hope this helps you

The Olympic record for running the 200m dash is 19.3 seconds. What is the average speed for this record?
A. 1.04 m/s
B. 5.18m/s
C.10.0m/s
D. 10.4m/s

Answers

i think it’s c. if not i’m sorry!!

You need to move a heavy box that has a mass of 50 kg. How much force must you apply to accelerate the box at 0.5 m/s/s?

Answers

25 N

F = (mass)(acceleration)

F = 50 • 0.5

F = 25

Stars and planets form when dust and gas from space is pulled together by.. what?

Answers

Answer:

gravity?

Explanation:

i dont have a lot of context but this is what i thought of so...

Stars and planets form when dust and gas from space is pulled together by gravitation.

What is gravitation?

In mechanics, gravity, often known as gravitation, is the force of attraction that acts on all matter. It has little impact on determining the intrinsic characteristics of common stuff because it is by far the weakest known force in nature.

In contrast, it governs the formations and evolution of stars, galaxies, and the entire cosmos by its extensive and ubiquitous action, which affects the trajectories of objects in the solar system and beyond the universe. All objects on Earth experience weight, or a gravitational pull that is proportionate to their mass and is imposed by the planet's mass.

Hence, the stars and planets form when dust and gas from space is pulled together by gravitation.

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HURRRY PLEASSSEEE 15 POINTS!!!!!

Muscle cells contract as actin filaments slide across the surface of myosin filaments, causing the ends of the muscle cells to pull together. This process requires energy in the form of ATP.
Which process explains how energy is made available for muscle cells?

Muscle cells contract as actin filaments slide across the surface of myosin filaments, causing the ends of the muscle cells to pull together. This process requires energy in the form of ATP. Which process explains how energy is made available for muscle cells?

A) Combining ADP and phosphate group.

B) Combining AMP and phosphate group.

C) Removing the adenine base from ATP.

D) Removing a phosphate group from ATP.

Answers

Answer:

c, removing the adenine base from Atp

Answer:

b

Explanation:

A shopping cart given an initial velocity of 2.0 m/s undergoes a constant acceleration to a velocity of 13 m/s. What is the magnitude of the carts acceleration if the time is 4.0?

Also if your really smart and have instagram please dm imaswagmeal and help me pls

Answers

Answer:

The acceleration is a = 2.75 [m/s^2]

Explanation:

In order to solve this problem we must use kinematics equations.

[tex]v_{f} = v_{i} + a*t\\[/tex]

where:

Vf = final velocity = 13 [m/s]

Vi = initial velocity = 2 [m/s]

a = acceleration [m/s^2]

t = time = 4 [s]

Now replacing:

13 = 2 + (4*a)

(13 - 2) = 4*a

a = 2.75 [m/s^2]

Ibp, merch link in bio

Answers

thank you for the free points

Answer:

love

Explanation:

How can parallax allow us to determine the distance to a star

Answers

Answer:

Astronomers use a method similar to the one you used with your homemade quadrant. Twice the distance to the Sun, divided by the distance to the star (which is unknown so far) is equal to the tangent of the parallax angle of the star.

A 23.5 kg object travels a distance of 85 m in 30 s. Find the momentum. (Hint: you must find speed first)

Answers

speed = 85/30 m/s
Momentum = 23.5 * 85/30 = ....

why is vitual force theory? why was it discarted​

Answers

Answer:

I am not very sure of the first question

The second one which is why it discarted it is that because someone named Friedrich Wohler showed that it was possible to obtain an organic compound in the laboratory.

8750 J of heat are applied to a piece of aluminium causing a 56C increase in its
temperature. The specific heat of aluminium is 902.5 J/kg C. What is the mass of the
aluminium?

Answers

Answer:146.8983 grams

A car travels at 15 m/s for 30 minutes. How far did it travel?

Answers

Answer:

27000 meters

Explanation:

15 x 60 x 30

You are driving from Seattle to Portland, a distance of 174
miles (280,000 meters). Since most of your journey is on 1-5, your average
speed will be 65MPH, or 30 meters per second. How long does it take you
to get to Portland? Select the BEST answer from the ones listed below.
3 hours 4 minutes
2 hours 20 minutes
2 hours 35 minutes
2 hours 15 minutes

Answers

Answer:

 driving distance = 174 miles

The distance by car is 278 km.  Follow the Seattle to Portland driving route along I-5 S.  Get driving directions from Seattle to Portland.

 flight distance = 145 miles

Explanation:

15 Points!!!
Fermentation of glucose by yeast produces
A) ethyl alcohol and carbon dioxide.
B) lactic acid and carbon dioxide.
C) lactic acid and oxygen.
D) ethyl alcohol and oxygen.

Answers

Answer:

A

Explanation:

Ethanol fermentation causes bread dough to rise. Yeast organisms consume sugars in the dough and produce ethanol and carbon dioxide as waste products. The carbon dioxide forms bubbles in the dough, expanding it to a foam.

Fermentation of glucose by yeast produces ethyl alcohol and carbon dioxide. (option a)

Fermentation is a metabolic process that occurs in yeast and some other microorganisms when they lack oxygen. During this process, glucose, a simple sugar, is broken down into simpler compounds. The main goal of fermentation is to produce energy for the cell without the need for oxygen.

Yeast, a type of fungus, carries out alcoholic fermentation. In this process, yeast breaks down glucose into two primary products: ethyl alcohol (also known as ethanol) and carbon dioxide. The equation representing this fermentation process is as follows:

Glucose → Ethyl Alcohol + Carbon Dioxide + Energy

The carbon dioxide produced during fermentation is responsible for the formation of bubbles in dough, which causes bread to rise. It is also the reason behind the effervescence in alcoholic beverages like beer and champagne.

So, the correct option is (a).

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Can someone please help meeeeee please

Answers

Answer:

0.650

Explanation:

Move the decimal point three times to the left.

How many meters are in a gigameter?

Answers

Answer:

1 gigameter = 1e+9 meter

A space-walking astronaut has become detached from her spaceship. She's floating in space while holding a wrench. She is thinking about how she might get back to the ship, which she can see 50 m from her current location. Which of Newton's three laws will help her the most to get back to the ship?

Answers

Answer:

please find the solution which is defined as follows:

Explanation:

Throughout the opposite direction, she not able to throw her tool-belt. In this scenario, she will be sending her floating through her ship. Unless interrupted, it could refer to Newton's The rule of it in motion remains in motion. Consequently, if they throw it one way because there are no molecules to interrupt your course, you can continue to go the other way.

what is the area of a rectangle having dimensions of 9.8m and 12.7m?

Answers

Answer:

Area = 124.46

Explanation:

I HOPE THIS WAS HELPFUL

true or false? Atmospheric pressure increases with height

Answers

Answer:

True

Explanation:

the answer is TRUE. hope this helped!!

A soccer player is running at a constant speed of 1.8 m/s when she speeds up in the same direction with an acceleration of .50m/s. What will be her final speed if she accelerates for a totally distance of 10.0 meters?

Answers

Answer:

The answer to this question would be 3.6 m/s

What are positive relationships of the great white shark called?

Answers

Answer:

parasitic relationship, mutualistic relationship, and the commensalistic relationship

Explanation:

those are what they are called

A 50kg boy stands on a horizontal rough ground. The coefficient with a static friction is 0.68. The maximum static friction between the boy and the ground is ?

Answers

Answer:333

Explanation:

is an atom with one valence electron more reactive than an atom with two electrone? ​

Answers

Answer:

An atom with a closed shell of valence electrons (corresponding to an electron configuration s2p6) tends to be chemically inert. An atom with one or two valence electrons more than a closed shell is highly reactive, because the extra valence electrons are easily removed to form a positive ion.Explanation:

An atom has 18 protons and 8 valance electrons. Which statement would best identify this element.

Answers

Answer:

argon

Explanation:

an element's atomic number is its number of protons, and argon has 18 protons. it is also a noble gas, which has 8 valence electrons.

hope this helps!

A gun kept on a straight horizontal road is used to hit a car travelling on the same road away from the gun at a uniform speed of 14.14 ms -1. The car is at a distance of 150 m from the gun when it is fired at an angle of 45° to the horizontal. What is the distance of the car from the gun when the shell hits it?

Answers

Answer:

250 m

Explanation:

In projectile, range is given as;

R = (v²sin 2θ)/g

We are given θ = 45°

Thus range of shell is;

R = (v²sin (2 × 45))/g

R = v²/g

Now, distance for the shell to hit the car will be; 150 + 14.14t

This will be equal to the range of shell;

150 + 14.14t = v²/g

Where t is time of flight

Now, time of flight is given by;

t = (2vsin θ)/g

t = (2v sin 45)/g

In surf form, we have;

t = (2v/(g√2))

Simplifying further gives;

t = (v√2)/g

Plugging this value of t into the distance equation gives;

150 + 14.14(v√2)/g = v²/g

Assuming g is 10 m/s², we have;

150 + 14.14(v√2)/10 = v²/10

Multiply through by 10 to get;

1500 + 14.14(v√2) = v²

v² - 20v - 1500 = 0

From quadratic equation calculator, we have; v = 50 m/s

Thus, t = (50√2)/g

t = (50√2)/10

t = 5√2

Plugging this into the distance equation gives;

Distance = 150 + 14.14(5√2) = 250 m

According to the law of the conservation of momentum, what is the missing value in the chart?
A 4
B. 6
C. 10
D. 16​

Answers

This would be four step by step

Answer:

B: 6

Explanation:

on edge! hope this helps!!~ (=´∇`=)

Which of the following describes bias in an experiment?

A. When researchers draw conclusions that do not support the hypothesis.

B. When researchers draw conclusions that are consistent with their observations.

C. When researchers blind themselves to participants in the groups, so they don't accidentally reveal the information.

D. When the personal opinions, Ideas, or judgments of the researchers influence their research.

Answers

D because bias to me is having opinion and when you let your opinions influence ideas that’s his

When the personal opinions, Ideas, or judgments of the researchers influence their research, then the experimental investigation and observation are considered biased, therefore the correct answer is option D.

What is the scientific claim?

Scientific claims are statements made in science based on an experiment.

These Scientific claims are backed by experimental data and their true results obtained from scientific investigation and experimentation.

                     

The right response is option D because experimental study and observation are deemed biased when the researchers' own ideas, beliefs, or judgments affect their findings.

To learn more about the scientific claims here, refer to the link given below ;

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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!

Which of the following describes a physical change? A. A marshmallow burns over an open flame. B. Icicles melt from a rooftop. C. A cat eats a piece of fish. D. Milk turns sour.

Answers

Answer:

B

Explanation:

Icicles melt from a rooftop

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