A box weighing 52.4 N is sliding on a rough horizontal floor with a constant friction force of magnitude LaTeX: ff. The box's initial speed is 1.37 m/s and it stops after 2.8 s. Determine the magnitude of the friction force exerted on the box.A box weighing 52.4 N is sliding on a rough horizontal floor with a constant friction force of magnitude LaTeX: ff. The box's initial speed is 1.37 m/s and it stops after 2.8 s. Determine the magnitude of the friction force exerted on the box.

Answers

Answer 1

Answer:

The magnitude of the friction force exerted on the box is 2.614 newtons.

Explanation:

Since the box is sliding on a rough horizontal floor, then it is decelerated solely by friction force due to the contact of the box with floor. The free body diagram of the box is presented herein as attachment. The equation of equilbrium for the box is:

[tex]\Sigma F = -f = m\cdot a[/tex] (Eq. 1)

Where:

[tex]f[/tex] - Kinetic friction force, measured in newtons.

[tex]m[/tex] - Mass of the box, measured in kilograms.

[tex]a[/tex] - Acceleration experimented by the box, measured in meters per square second.

By applying definitions of weight ([tex]W = m\cdot g[/tex]) and uniform accelerated motion ([tex]v = v_{o}+a\cdot t[/tex]), we expand the previous expression:

[tex]-f = \left(\frac{W}{g} \right)\cdot \left(\frac{v-v_{o}}{t}\right)[/tex]

And the magnitude of the friction force exerted on the box is calculated by this formula:

[tex]f = -\left(\frac{W}{g} \right)\cdot \left(\frac{v-v_{o}}{t}\right)[/tex] (Eq. 1b)

Where:

[tex]W[/tex] - Weight, measured in newtons.

[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.

[tex]v_{o}[/tex] - Initial speed, measured in meters per second.

[tex]v[/tex] - Final speed, measured in meters per second.

[tex]t[/tex] - Time, measured in seconds.

If we know that [tex]W = 52.4\,N[/tex], [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], [tex]v_{o} = 1.37\,\frac{m}{s}[/tex], [tex]v = 0\,\frac{m}{s}[/tex] and [tex]t = 2.8\,s[/tex], the magnitud of the kinetic friction force exerted on the box is:

[tex]f = -\left(\frac{52.4\,N}{9.807\,\frac{m}{s^{2}} } \right)\cdot \left(\frac{0\,\frac{m}{s}-1.37\,\frac{m}{s} }{2.8\,s} \right)[/tex]

[tex]f = 2.614\,N[/tex]

The magnitude of the friction force exerted on the box is 2.614 newtons.

A Box Weighing 52.4 N Is Sliding On A Rough Horizontal Floor With A Constant Friction Force Of Magnitude

Related Questions

A car is at velocity of 20 km/h. If the car traveled 120 km in 3 hours at constant acceleration, what is its final velocity?

Answers

The velocity is dueuueue. 100

How does Newton’s second law apply to golf

Answers

Answer:  Newton's Second Law of Motion is proven through the way the golf ball flies through the air. Newton's law states that the net force of an object (Fnet) is equivalent to the object's mass (m) multiplied by the object's acceleration (a). In other words, Fnet = ma.

Explanation: Vote me brainliest ;D

If this piece of abductin is 3.1 mm thick and has a cross-sectional area of 0.49 cm2 , how much potential energy does it store when compressed 1.5 mm ?

Answers

Complete question:

A scallop forces open its shell with an elastic material called abductin, whose Young's modulus is about 2.0×10⁶ N/m2 .

If this piece of abductin is 3.1 mm thick and has a cross-sectional area of 0.49 cm2 , how much potential energy does it store when compressed 1.5 mm ?

Answer:

The elastic potential energy of the material is 0.036 J

Explanation:

Given;

Young's modulus, E = 2.0×10⁶ N/m²

Thickness of the abductin, l = 3.1 mm = 0.0031 m

compression of the abductin, x = 1.5 mm = 0.0015 m

area, A = 0.49 cm² = 0.49 x 10⁻⁴ m²

Young's modulus for elastic material is given by;

[tex]E = \frac{stress}{strain} = \frac{Fl}{Ax} \\\\ E = \frac{F}{x}*\frac{l}{A}\\\\ E = k*\frac{l}{A}\\\\k = \frac{AE}{l}\\\\k = \frac{(0.49 x10^{-4})(2*10^6)}{0.0031}\\\\ k = 31,612.9 \ N/m[/tex]

The elastic potential energy of the material is given by;

U = ¹/₂kx²

U = ¹/₂(31,612.9)(0.0015)²

U = 0.036 J

Therefore, the elastic potential energy of the material is 0.036 J

Find the magnitude of the magnetic field that will cause the electron to follow the semicircular path from A to B.

Answers

Answer:

[tex]B=1.61\times 10^{-4}\ T[/tex]

Explanation:

The attached figure shows the path followed by an electron in the semicircular path from A to B.

Velocity of the electron is, [tex]v=1.42\times 10^6\ m/s[/tex]

It can be seen from the figure that the radius of thenpath, r = 5 cm or 0.05 m

The magnetic force acting on the electron is balanced by the centripetal force acting on it. It means,

[tex]Bqv=\dfrac{mv^2}{r}[/tex]

B is the magnitude of the magnetic field

[tex]B=\dfrac{mv}{rq}\\\\\text{Putting all the values}\\\\B=\dfrac{9.1\times 10^{-31}\times 1.42\times 10^6}{0.05\times 1.6\times 10^{-19}}\\\\B=1.61\times 10^{-4}\ T[/tex]

So, the magnitude of the magnetic field is [tex]1.61\times 10^{-4}\ T[/tex].

The magnitude of the magnetic field that will cause the electron to follow the semicircular path from A to B will be  [tex]B=1.61\times 10^-{4]\ T[/tex]

What is magnetic field?

The magnetic field is defined as when the current passes through the wire, then the magnetic field is generated around the wire in a circular pattern.

The attached figure shows the path followed by an electron in the semicircular path from A to B.

The velocity of the electron is, [tex]v=1.42\times 10^6\ \frac{m}{s}[/tex]

It can be seen from the figure that the radius of then path, r = 5 cm or 0.05 m

The magnetic force acting on the electron is balanced by the centripetal force acting on it. It means,

[tex]Bqv=\dfrac{mv^2}{r}[/tex]

B is the magnitude of the magnetic field

[tex]B=\dfrac{mv}{rq}[/tex]

[tex]B=\dfrac{9.1\times 10^{-31}\times1.42\times 10^6}{0.05\times 1.6\times 10^{-19}}[/tex]

[tex]B=1.61\times 10^{-4}\ T[/tex]

So, the magnitude of the magnetic field is  [tex]B=1.61\times 10^-{4]\ T[/tex]

To know more about the magnetic field, follow

https://brainly.com/question/26257705

If a drag racing car accelerated at 69 miles per second in 0.25 s, what is the acceleration of the car

Answers

Answer:

acceleration is : 276 mi/s^2

(276 miles per second squared)

Explanation:

We use the formula for acceleration (a) which is the change in velocity divided by the time it took to change it:

a = (vf - vi) / t

where "vf" stands for final velocity, "vi" for initial velocity, and "t" for the time it took for the velocity to change.

In our case:

a = (69 - 0) / 0.25 = 276 mi/s^2

(276 miles per second squared)

Which is the correct answer? Please help.

Answers

Answer:

i believe it is c

Explanation:

hope this helps and plz mark brainliest

The word photokinetic means “moving in response to light”. Why does this make sense based on the two main parts (morphemes) in this word?

Answers

Explanation:

photo means light in latin

kinetic means to move

A source of sound produce waves in air of wavelength 3.42m . If the speed of sound in air is 330m/s, What is the period of vibration?​

Answers

Explanation:

wavelength=3.42m

velocity=330m/s

T=?

v=f×wavelength

f=330÷3.42

f=96.5Hz

T=1/f

=1/96.5

T=0.01s

To increase muscular strength the number of reputation should be?
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To increase muscular endurance the weight being lifted should be?
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to increase muscular strength the weight being lifted should be?
A high
B light
C heavy
D low​

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Answer:

Explanation:

heavyy

How does energy from the sun travel to earth .

Answers

Answer:

through uv light

Energy travels from the Sun to the Earth through electromagnetic waves, like infra red radiation, visible light as well as Ultraviolet and higher frequency radiation.

Which undergoes greater acceleration: an airplane that goes from 1000 km/h to 1005 km/h in 10 seconds or a skateboard that
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Answers

Answer:

Skateboard

Explanation:

Acceleration is change in velocity over time.

a = Δv / Δt

The airplane's acceleration is:

a = (1005 km/h − 1000 km/h) / 10 s

a = 0.5 km/h/s

The skateboard's acceleration is:

a = (5 km/h − 0 km/h) / 1 s

a = 5 km/h/s


A man runs 400.0m around the track,
then another 400.0m around the track again.
As the track is 400.Om long, the man is back
where he started!
a) calculate distance travelled

b) calculate mans displacement

Answers

Answer:

Distance = 800 m, Displacement = 0

Explanation:

It is given that,

A man runs 400 m around the track,  then another 400 m around the track again.

(a) Distance travelled by an object is the sum of total path covered.

In this case, he has covered total path of 400 m + 400 m i.e. 800 m. It means he travelled a distance of 800 m.

(b) Displacement covered by an object is the shortest path covered by it. In this problem, he reaches the point from where he has started. It means that his displacement is equal to 0.

Who? What? Where? When? Why?

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yes simpsimpsimpsimpsimpsimpsimp simpsimpsimpsimpsimpsimpsimp

What is an antibody and what does it do?

Answers

an antibody is a blood protein produced in response to and counteracting a specific antigen. Antibodies combine chemically with substances which the body recognizes as alien, such as bacteria, viruses, and foreign substances in the blood.

Antibodies are proteins that help fight off infections and can provide protection against getting that disease again (immunity). Antibodies are disease specific.

Which of the following represents an example of thermal energy?
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Ob
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с
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Od
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Answers

Answer:

The answer of this question is windmill

Doctors were furious. Their patients didn't care about regular medicine anymore. All they wanted was a wave of Dr. Mesmer's wand. The doctors griped — and groused — and fussed — and fumed. What is most likely the meaning of the word furious?
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Answer:

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Dillon wants to go to the park to play basketball. To get to the park, he must travel 9 km East, and then 6 km South, then 9 Km West. Calculate the distance

Answers

Answer:

24 km

Explanation:

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A train travels from Boston to New York. It travels at a speed of 180 km/h for two hours, speeds up to 200 km/h for the next four hours and then slows down to 120 km/h for the next six hours. What is the average speed of the train for this trip?

Answers

Answer:

156 2/3 km/hr

Explanation:

Average speed is found by dividing total distance by total time.

180 km/hr in 2 hrs is 360 miles

200 km/hr in 4 hrs is 800 miles

120 km/hr in 6 hrs is 720 miles

Total time is 12 hrs; Total distance 1880 hrs

Divide distance by time and you have 156 2/3 km/hr. This is your average speed.

The effect wind has on an airplane can be modeled by using a wind tunnel. What is one limitation of this model

Answers

Answer:

The limitations of this this model is the amount of wind being blown to effect the airplane.

Answer:  Highly skilled workers are necessary to run the wind tunnel.

Explanation: I took the quiz on A pex.

A
A penny is dropped from the top of a 200 m building and is in free fall. How long will it take
the penny to hit the ground?

Answers

Answer:

The penny will hit the ground at 6.39 seconds

Explanation:

Free Fall

The penny is dropped from a height of y=200 m. The equation of the height on a free-fall motion is given by:

[tex]\displaystyle y=\frac{gt^2}{2}[/tex]

Where [tex]g=9.8\ m/s^2[/tex], and t is the time.

Solving for t:

[tex]\displaystyle t=\sqrt{\frac{2y}{g}}[/tex]

Using the value y=200:

[tex]\displaystyle t=\sqrt{\frac{2*200}{9.8}}[/tex]

t=6.39 sec

The penny will hit the ground at 6.39 seconds

A net force of 500 newtons causes
an object to accelerate at a rate of
5.0 m/s2. What is the mass of the
object?

A - 100 kg
B - .20kg
C - 600 kg
D - 2500 kg

Answers

Answer:

The answer is option A

Explanation:

To find the mass of an object given it's acceleration and the force acting on it we use the formula

[tex]mass = \frac{force}{acceleration} \\ [/tex]

From the question

force = 500 N

acceleration = 5.0 m/s²

We have

[tex]mass = \frac{500}{5} \\ [/tex]

We have the final answer as

100 kg

Hope this helps you

For a balloon to rise in the air, the lifting force
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Mark brainlist

Answers

Answer:

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Explanation:


What happens to the temperature of a substance while it is changing state?​

Answers

Answer:

its temperature stays constant

Explanation:

I really need help on this.

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Earth's rotation is crucial to understanding the Coriolis effect. The Equator is where Earth rotates more quickly than the poles. There at Equator, Earth is larger.

Equatorial areas therefore move at a speed of around 1,600 km/h (1,000 mph) in a 24-hour period to complete a revolution. Earth rotates slowly towards to the poles, at 0.00008 km/h (0.00005 mi/h).

Low-pressure systems called cyclones draw air towards their "eye" or central region. Fluids representing high-pressure systems in the Northern Hemisphere pass low-pressure regions to the right.

Air masses are deflected when they're drawn inside cyclones from across all sides, giving the appearance that a hurricane is rotating clockwise. Trade winds refer to these air masses' recurrent circulation patterns.

To know more about speed click here

brainly.com/question/28224010

#SPJ1

for which pair of objects would adding the same amount of eletrons to each object result in a decrease in a electrical force

Answers

Answer:

two positively charged objects

Explanation:

when are two magnets attracted?

Answers

Answer:

when the negative and positive energy is connected

Explanation:


A automotive test driver travels due north in a prototype hybrid vehicle at 30 mi/h
for 2 hours. She then reverses her direction and travels due south at 60 mi/h for 1 hour.

What is the average speed of the vehicle?
a) 40 mi/h
b) 50 mi/h
c) zero mi/h
d) 60 mi/h
e) 30 mi/h

Answers

Answer:

Option A. 40 mi/h

Explanation:

To obtain the average speed of the vehicle, we'll begin by calculating the distance travelled by the vehicle in each case. This is illustrated below:

Case 1:

Speed = 30 mi/h

Time = 2 h

Distance =...?

Speed = Distance /Time

30 = Distance /2

Cross multiply

Distance = 30 × 2

Distance = 60 mi

Case 2:

Speed = 60 mi/h

Time = 1 h

Distance =...?

Speed = Distance /Time

60 = Distance /1

Cross multiply

Distance = 60 × 1

Distance = 60 mi

Finally, we shall determine the average speed of the vehicle as follow:

Total distance travelled = 60 + 60

Total distance travelled = 120 mi

Total time = 2 + 1

Total time = 3 h

Average speed =..?

Average speed = Total Distance travelled /Total time

Average speed = 120/3

Average speed = 40 mi/h

Therefore, the average speed of the vehicle is 40 mi/h

I’ve been stuck on this question, what’s the answer to this question?

Answers

Explanation:

[tex]\sf{H_2CO_3 + NaOH \longrightarrow NA_2CO_3 + H_2O}[/tex]

Where [tex]\sf{H_2CO_3 }[/tex] is Carbonic AcidWhere [tex]\sf{ NaOH }[/tex] is Sodium HydroxideReaction gives out [tex]\sf{ NA_2CO_3 + H_2O}[/tex]Where [tex]\sf{ NA_2CO_3 }[/tex] is Sodium HydroxideAnd [tex]\sf{ H_2O}[/tex] is water.

So, [tex]\sf{ NA_2CO_3 }[/tex] Sodium Carbonate is the answer.

Hope it helps :)

Explain why the interconnection is not valid. Explain why the interconnection is not valid. A valid interconnection would require the 3 AA and 4 AA sources to supply different currents in the same direction, which they do not. A valid interconnection would require the 3 AA and 4 AA sources to supply different currents in opposite directions, which they do not. A valid interconnection would require the 3 AA and 4 AA sources to supply the same current in opposite directions, which they do not. A valid interconnection would require the 3 AA and 4 AA sources to supply the same current in the same direction, which they do not.

Answers

Complete Question

The diagram for this question is shown on the first uploaded image

Explain why the interconnection is not valid.

i A valid interconnection would require the 3 A and 4 A sources to supply different currents in the same direction, which they do not.

ii  A valid interconnection would require the 3 A and 4 A sources to supply different currents in opposite directions, which they do not.

iii  A valid interconnection would require the 3 A and 4 A sources to supply the same current in opposite directions, which they do not.

iv A valid interconnection would require the 3 A and 4 A sources to supply the same current in the same direction, which they do not

Answer:

The correct option is  iv

Explanation:

Looking at the diagram we see that the current source are connected in series, generally the current flowing through two source that are connected in series is suppose to be the same but in this case it is not so

i.e [tex]4A  \ne 3 A[/tex] hence Kirchhoff's law is broken or not followed in this circuit which means the interconnection is not valid  

also another reason why the interconnection is not valid is because the current are flowing in the different directions  

explain which one would have a larger momentum a charging elephant or a buzzing bee​

Answers

The elephant because , Going at the same speed, the elephant, having more mass, will have much more momentum. Because momentum must always be conserved, when the elephant bumps into you, it will have more effect than the buzzing bee, as more momemtum will tranfser to an object

Plz mark me brainliest
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