A block slides down a 30.0 degree inclined plane at an acceleration of 2.0 m/s^2. What is the coefficient of friction between the block and the inclined plane? Use g=10.0 m/s^2
A) .20
B) .25
C) .30
D) .35

Answers

Answer 1

Answer:

D) .35

Explanation:

m = Mass of block

g = Acceleration due to gravity = [tex]10\ \text{m/s}^2[/tex]

[tex]\theta[/tex] = Angle of inclination = [tex]30^{\circ}[/tex]

a = Acceleration of block = [tex]2\ \text{m/s}^2[/tex]

[tex]\mu[/tex] = Coefficient of friction between the block and the inclined plane

f = Frictional force = [tex]\mu mg\cos\theta[/tex]

As the forces are conserved in the system we have

[tex]mg\sin\theta-f=ma\\\Rightarrow mg\sin\theta-\mu mg\cos\theta=ma\\\Rightarrow g(\sin\theta-\mu\cos\theta)=a\\\Rightarrow \sin30^{\circ}-\mu\cos30^{\circ}=\dfrac{2}{10}\\\Rightarrow \dfrac{1}{2}-\mu\dfrac{\sqrt{3}}{2}=0.2\\\Rightarrow \mu=\dfrac{\dfrac{1}{2}-0.2}{\dfrac{\sqrt{3}}{2}}\\\Rightarrow \mu=\dfrac{0.3\times 2}{\sqrt{3}}\\\Rightarrow \mu=0.3464\approx 0.35[/tex]

The coefficient of friction between the block and the inclined plane is 0.35


Related Questions

What safety factors should astronauts be aware of when collecting rock samples on the Moon?

Answers

Answer:

Explanation:

Astronauts face a wide range of dangers when maneuvering in space. Collecting rock samples requires breaking apart rocks on the moon's surface, which requires tools. These tools are sometimes small hammers or other times special drills. All of this process means moving and using force to break these rocks apart and every single movement can cause a mistake which can lead to a piece of the suit ripping or a failure in the machinery. Since there is no oxygen on the moon the tiniest failure in the suit can lead to the death of the astronaut. Therefore, having backup safety precautions, and quick repair scenarios is a must when collecting rock samples on the moon.

Name two hormones produced by the endocrine system and how they work with other organs system to maintain homeostasis

Answers

Answer:

insulin and glucagon, to regulate blood-glucose levels

Explanation:

please help i give brainest but i need help asap

Answers

Answer:

Surface

Explanation:

Rayleigh Waves—surface waves that move in an elliptical motion, producing both a vertical and horizontal component of motion in the direction of wave propagation. Particle motion consists of elliptical motions (generally retrograde elliptical) in the vertical plane and parallel to the direction of propagation.

(01.01 LC)
Two objects of the same mass are in a room. At which of the
following distances will the greatest gravitational force be exerted
by one object on another?
O 2 m
O 4 m
O 6 m
O 8 m

Answers

Answer:

2m

Explanation:

The closer the objects are, the more gravitational force there is

You walk from your bedroom, 25m to the mailbox, and then walk 25m back to your bedroom. What is your total distance? What is your displacement?

Answers

Answer:

Distance is 50m

Displacement is 0m

Explanation:

Distance is based on the amount of length you covered, regardless of where you end.

Displacement only considered where you started and where you ended, which is at the same spot in this case. Therefore, no displacement.

What is the substance through which sound travels?

Answers

Answer:

Sound waves need to travel through a medium such as solids, liquids and gases. The sound waves move through each of these mediums by vibrating the molecules in the matter. The molecules in solids are packed very tightly. Liquids are not packed as tightly.

Explanation:

Hope this helped, Have a Great Day!!

Assuming temperature is constant, what is the new volume when a 100.0 cm3 container at 120.0 kPa is expanded until the pressure is 60.0 kPa?

Answers

Answer:

200cm³

Explanation:

Given parameters;

Initial volume  = 100cm³

Initial pressure = 120kPa

Final pressure  = 60kPa

Unknown:

Final volume  = ?

Solution:

The temperature is constant, we apply Boyle's law to solve this problem.

Boyle's states that "the volume of fixed mass of a gas varies inversely as the pressure changes, if the temperature is constant".

  Mathematically;

              P₁V₁  = P₂V₂

P and V are the pressure and volume

1 and 2 are the initial and final values;

 Now insert the parameters and solve;

             120 x 100  = 60 x V₂

                     V₂ = 200cm³

1. What mass can be lifted by the hydraulic press if it is known that the are:
of the small piston is 48cm and that of the large piston is 1440cm, and
the force acting on the small piston can be as large as 1000N. (use g =
10m/s)
C. 3000kg
B. 30kg
D. 30,000kg
A. 300kg

Answers

Answer:

Answer: C. 3000kg

Explanation:

Hydraulic Jack

It's a device that is used to lift heavy loads by applying force via a hydraulic cylinder.

Since the internal pressure on the liquid of the jack is constant, the following relation applies:

[tex]\displaystyle \frac{F_1}{A_1}=\frac{F_2}{A_2}[/tex]

Where

F1  = Force applied in one end of the jack

A1  = Area of the cylinder of the same end

F2  = Force applied in the other end of the jack

A2  = Area of the cylinder of the other end

If we assume the force is being applied on side 1, then the force on side 2 is calculated by solving for F2:

[tex]\displaystyle F_2=\frac{F_1.A_2}{A_1}[/tex]

We have F1=1000N, A1= 48~cm^2, A2= 1440~cm^2, thus:

[tex]\displaystyle F_2=\frac{1000.1440}{48}[/tex]

[tex]F_2 = 30000 ~N[/tex]

Since we need to know the mass that can be lifted by that force, we use the formula:

W = m.g

Where W is the weight of the mass and g= 10~m/s^2. Since the weight is equal to the force exerted by the jack:

[tex]\displaystyle m=\frac{W}{g}=\frac{30000}{10}[/tex]

m = 3000 Kg

Answer: C. 3000kg

What happens to the particles of a liquid when energy is removed from them?


The motion of the particles increases.


The motion of the particles stays the same.


The distance between the particles increases.


The distance between the particles decreases.

Answers

Answer:

the motion of the particles stays the same.

Answer:

The motion of the particles stays the same

Explanation:

hope this helps

Which factor has the greatest effect on the strength of an electromagnet?
A. The position of the ammeter in the circuit
B. The number of coils of wire around the core
C. The type of insulation that covers the wire
D. The distance between the battery and the electromagnet

Answers

B. The number of coils of wire around the core

Answer:

B.

Explanation:

The number of coils of wire around the core

Matter is made up of very small particles called atoms. Atoms are

Answers

Answer:

Matter is made up of very small particles called atoms. Atoms are the basic units of matter and the defining structure of elements.

Hope this helps

Unas niñas en el receso estaban jugando a derramar flatulencias en un frasco de forma cilíndrica, cuyo radio tenía 5" y una altura de 7 in, el gas se mantenía constante a una presión de 540 mm de Hg. Si se baja la presión a 320 mm de Hg, ¿Cuál será el volumen que posea la flatulencia?

Answers

Answer:

Los gases siempre se adaptaran al volumen del contenedor en el que estén.

Entonces, si baja la presión del gas, la temperatura se mantendrá constante, lo que implica que tiene que aumentar la temperatura, pues para un gas ideal tenemos:

P*V = n*k*T

donde si el frasco esta cerrado, tenemos que n, k y V son constantes, entonces:

P = (n*k/V)*T

P = constante*T

(Notar que si el frasco no estuviera cerrado, entonces el numero n variaría de forma incontrolable, y este problema no se podría resolver de forma sencilla)

Entonces, si la presión baja, también baja la temperatura, pero el volumen se mantendrá constante, eso es lo importante.

Como el volumen se mantiene constante, el volumen que tomara el gas va a ser igual al volumen del frasco, sabemos que el volumen de un cilindro es:

V = (pi*r^2*h)

donde:

r = radio

pi = 3.14

h = altura.

en este caso, r = 5'' = 5 in

                       h = 7 in

Entonces el volumen sera:

V = 3.14*(5in)^2*7in = 549.5 in^2

All of the following statements concerning drugs and supplements are true EXCEPT: A. Many drugs and supplements are ineffective and expensive. B. Many supplements and drugs are frequently used to improve performance and appearance. C. Supplements and drugs both undergo stringent government testing. D. Supplements and drugs can both cause unwanted side effects. Please select the best answer from the choices provided. A B C D

Answers

Answer: C, supplements and drugs both undergo stringent government testing.

Explanation: took the unit test.

hope this helps :)

Answer:

C

Explanation:

What type of light is a glow stick

Answers

Answer:

self-contained, short-term light-source

Explanation:

A track star runs 100 meters in 10 seconds. What is the star's average speed?

Answers

Answer:

10m/s

Explanation:

6. A 2000 kg spacecraft is located 9.2x10 m from the center of the earth. The mass of the earth
is 6.0x1024 kg. What is the force of gravity acting on the spacecraft?

Answers

The answer is -i, trust me.

A box is initially at rest on a horizontal, frictionless table. If a force of 10
Newton acts on the box for 3 seconds, what is the momentum of the
box at the end of the 3 second interval?

Answers

Answer: 18

Explanation:

i think

Answer: 30

Explanation: ck-12 momentum and impulse

Scientists use supporting evidence to create an explanation. Explain why using evidence to support your explanations is a good practice. and then answer Compare and contrast how observations and results can be used to support a conclusion to an experiment. please help me due in 12 min 20 points

Answers

observations are generally recorded in journal form, while results can be compiled into tables, charts or graphs. Knowing the difference between the two makes it much easier to analyze your data and come up with conclusion, this gives your conclusion support as well as reliability. Both together show data from the experiment preformed.

How are the direction of the net force on an object and the direction of the object’s acceleration related?

Answers

They're the same direction.

What happened to the maximum height of consecutive swings

Answers

Answer:

we need more info

Explanation:

A 6 kilogram block in outer space is moving at -100 m/s (to the left). It suddenly experiences three forces as shown below (in the attachment). What is the block’s displacement when it finally comes to rest?

Answers

Answer:

x = 1474.9 [m]

Explanation:

To solve this problem we must use Newton's second law, which tells us that the sum of forces must be equal to the product of mass by acceleration.

We must understand that when forces are applied on the body, they tend to slow the body down to stop it.

So as the body continues to move to the left, it is slowing down. Therefore we must calculate this deceleration value using Newton's second law. We must perform a sum of forces on the x-axis equal to the product of mass by acceleration. With leftward movement as negative and rightward forces as positive.

ΣF = m*a

[tex]10 +12*sin(60)= - 6*a\\a = - 3.39[m/s^{2}][/tex]

Now using the following equation of kinematics, we can calculate the distance of the block, before stopping completely. The initial speed must be 100 [m/s].

[tex]v_{f}^{2} =v_{o}^{2}-2*a*x[/tex]

where:

Vf = final velocity = 0 (the block stops)

Vo = initial velocity = 100 [m/s]

a = - 3.39 [m/s²]

x = displacement [m]

[tex]0 = 100^{2}-2*3.39*x\\x=\frac{10000}{2*3.39}\\x=1474.9[m][/tex]

Two objects are held close together. When they are released, they move toward one another. Which conclusion is supported by this evidence?
O The objects are both positively charged.

O The objects are both negatively charged.

O The objects have no charge


O The objects have opposite charges.​

Answers

Answer:

The objects have opposite charges.​

Explanation:

The object when released are moving towards each other simply because they attract each other.

According to coulombs law of charges, like charges repel and will move away from one another. Unlike charges attracts and moves towards one another Since the objects are coming towards each other, they are of opposite charges.  

The objects have opposite charges conclusion is supported by this evidence. Option 4 is correct.

What is the charge?

When the matter is put in an electromagnetic field, it has an electric charge, which causes it to experience a force. A positive or negative electric charge can exist.

Charges that are similar repel each other, whereas charges that are dissimilar attract each other. The term "neutral" refers to an item that has no net charge.

Two things are held in proximity to one another. When they are let go, they gravitate toward each other. This evidence supports the conclusion that the items have opposing charges.

Hence,option 4 is correct.

To learn more about the charge refer to the link;

https://brainly.com/question/24391667

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A car starts from rest and is moving at 60.0 m/s after 7.50 s. What is the car's average acceleration?
Help!!!

Answers

Answer:

[tex]{ \boxed{ \bold{ \sf{Acceleration \: ( \: a) = 8 \: m/ {s \: }^{2} }}}}[/tex]

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Question :

A car starts from rest and is moving at 60.0 m/s after 7.50 s. What is the car's average acceleration ?

♨ [tex] \underbrace{ \sf{Required \: Answer : }}[/tex]

Given :

Initial velocity ( u ) = 0 Final velocity ( v ) = 60.0 m/sTime ( t ) = 7.50 s

To find :

Acceleration ( a )

We know ,

[tex] \boxed{ \underline{ \bold{ \sf{Acceleration \: ( \: a) = \frac{Final velocity ( v ) - Initial velocity ( u)}{t} }}}}[/tex]

Substitute the values and solve for a.

➛ [tex] \sf{a = \frac{60.0 - 0}{7.50}} [/tex]

➛ [tex] \sf{a = \frac{60.0}{7.50}} [/tex]

➛ [tex] \boxed{ \boxed{ \sf{a = 8 \: m/ {s \: }^{2} }}}[/tex]

---------------------------------------------------------------

Additional Info :

When a certain object comes in motion from rest , in the case , initial velocity ( u ) = 0When a moving object comes in rest , in the case , final velocity ( v ) = 0If the object is moving with uniform velocity , in the case , u = v.If any object is thrown vertically upwards in the case , a = -gWhen an object is falling from certain height , in the case , final velocity at maximum height ( v ) = 0.

Hope I helped!

Have a wonderful time ツ

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Radio waves travel at a speed of 300,000,000 m/s.

KQFC broadcasts radio waves at a frequency of 97,900,000 Hertz.

What is the wavelength of KQFC’s radio wave?

Answers

Answer:

3.06 m

Explanation:

The wavelength of KQFC’s radio wave can be found by using the formula

[tex] \lambda = \frac{v}{f} \\ [/tex]

v is the velocity

f is the frequency

Fromthe question we have

[tex] \lambda = \frac{300000000}{97900000} = \frac{3000}{979} \\ = 3.064351...[/tex]

We have the final answer as

3.06 m

Hope this helps you

What is Newton's 3rd law of motion?
A.When objects collide they exert a force to balance both out
B.For every action there is no reaction
C.If an object exerts a force on a second object the second exerts an equal force in the opposite direction
D.Force is applied when there are two opposite objects

Answers

Answer:

Explanation:

B

C. If an object exerts a force on a second object, the second exerts an equal force in the opposite direction.

Explanation:

I took the test lol

Sitting at the top of a steep hill on a roller coaster (not moving), is an example of:

Answers

It’s an example of gravitational potential energy

Try to explain to someone at home how ovens work to heat pizza, or to heat something. Use language you think will help the person really understand how molecules move as they are heated.

Answers

Answer:

The heat is transferred from the metal rod to the pizza dough.

Explanation:

An oven works on electricity. We know that according to the law of conservation of energy, energy is being transferred from one type to some some other type. It is not possible to create or form energy and also to destroy energy.

So in the oven when the oven is switched on to make a pizza, the electrical energy is converted into heat energy which bakes the pizza inside the oven.

When the oven is heated, the molecules inside the metallic rod vibrates and it transfers its kinetic energy to its neighboring atoms. This is how the entire rod gets heated up due to conduction from one point end to another. The heat is then flowed from the rod to the pizza through the surrounding air in the oven. The molecules in contact with the rod transfers the heat to the molecules in the surroundings. This process is called convection process.

This is how the heat is flowed and transferred from the rod to the pizza dough by conduction and convection process. Thus the temperature rises and it heats the pizza.

Identify the object that has the largest moment from the list of objects given below.
a. A fired bullet ,
b. An obese man standing still ,
c. A running horse at its maximum speed,
d. A football player going for a touchdown​

Answers

Answer:

A fired bullet

Explanation:

A fired bullet is faster than the speed of sound

A fired bullet has the largest momentum from the list of objects given. Hence, Option (a) is correct.

What is momentum?

The product of a particle's mass and velocity is its momentum. Momentum is a vector quantity, meaning it has both magnitude and direction. According to Isaac Newton's second equation of motion, the force acting on a particle equals the time rate of change of momentum.

Mathematically,

Momentum of the object = mass × velocity.

Though mass of the bullet is less, the velocity of bullet is enormously high compere to  horse or a  football player. So, the product of mass and velocity, that is, momentum of a fired bullet is largest  among the list of objects given.

Learn more about momentum here:

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A 782.10 kg car is brought from 7.60 m/s to 3.61 m/s over a time period of 4.23 seconds. What is the average force the car experiences during that time?

Answers

Answer:

–735.17 N

The negative sign indicate that the force is acting in opposition direction to the car.

Explanation:

The following data were obtained from the question:

Mass (m) of car = 782.10 kg

Initial velocity (u) = 7.60 m/s

Final velocity (v) = 3.61 m/s

Time (t) = 4.23 s

Force (F) =?

Next, we shall determine the acceleration of the car. This can be obtained as follow:

Initial velocity (u) = 7.60 m/s

Final velocity (v) = 3.61 m/s

Time (t) = 4.23 s

Acceleration (a) =?

a = (v – u) / t

a = (3.61 – 7.60) / 4.23

a = –3.99 / 4.23

a = –0.94 m/s²

Finally, we shall determine the force experienced by the car as shown below:

Mass (m) of car = 782.10 kg

Acceleration (a) = –0.94 m/s²

Force (F) =?

F = ma

F = 782.10 × –0.94

F = –735.17 N

The negative sign indicate that the force is acting in opposition direction to the car.

can the transfer of heat by convection occur in solids ?why?​

Answers

Answer:

cannot

Explanation:

because convection occurs to difference in densities between particles and there is a movement of particles during convection ( gases and liquids ) , in solids , atoms are very tightly packed and cannot move

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