A block of mass 8.0 kg is held stationary on a slope whose surface is inclined 31 degrees relative to the horizontal.

When released it slides down the slope with a constant acceleration of 0.9 ms^-2.

Using your knowledge of forces, calculate the surface's coefficient of friction, μ. Assume g = 9.8 ms^-2.

Answers

Answer 1

Answer:

0.49

Explanation:

There are two forces acting on the block in the direction parallel to the surface of the inclined plane:

- The component of the weight of the block parallel to the incline:

[tex]mg \sin \theta[/tex]

where m = 8.0 kg is the mass of the block, g=9.8 m/s^2 and [tex]\theta=31^{\circ}[/tex] is the angle of the ramp

- The frictional force, given by:

[tex]\mu mg cos \theta[/tex]

where [tex]\mu[/tex] is the coefficient of friction.

The two forces act in opposite direction, and according to Newton's second law, their resultant is equal to the product of the mass of the block (m) and its acceleration (a):

[tex]mg sin \theta - \mu mg cos \theta = ma[/tex]

Since we knw that [tex]a=0.9 m/s^2[/tex], we can re-arrange the equation to find the coefficient of friction:

[tex]\mu = \frac{g sin \theta -a}{ g cos \theta}=\frac{(9.8 m/s^2)(sin 31^{\circ})-0.9 m/s^2}{(9.8 m/s^2)(cos 31^{\circ})}=0.49[/tex]


Related Questions

Carlos uses a rope to pull his car 30 m to a parking lot because it ran out of gas. If Carlos exerts 2,000 N of force to pull the rope, and the rope is at an angle of 15° to the road, how much work did he do? Round your answer to two significant figures. 1.6 × 104 J 3.5 × 104 J 5.8 × 104 J 9.0 × 104 J

Answers

Note that

[tex]W = Fd \cos \theta[/tex]

Thus, here,

W = (2000 N)(30 m)(cos 15) = 57955.54958  J

Here, we only have 2 significant figures. Hence, in 2 significant figures,

[tex]W = 5.8*10^4 \; J[/tex].


Answer:

5.8 × 10^4 J

Explanation:

PLEASE HELP
When you see a traffic light turn red, you apply the brakes and stop with constant acceleration.

If your initial speed was 23 m/s , what is your average speed during braking?
Express your answer to two significant figures and include the appropriate units.

Answers

Let the initial velocity be u = 23 m/s

Let the final velocity be v.

Vehicle stops finally, therefore v = 0 m/s

Here during the braking, vehicle decelerates with constant acceleration,  thus the change in velocity is linear from initial velocity to final velocity.

for the Given condition:

Write the expression for the average speed [tex]V_{avg}[/tex]

[tex]V_{avg} =  \frac{u+v}{2}\\[/tex]

Substitute the values in the above expression.

[tex]V_{avg} = \frac{23+0}{2}\\              = 11.5 m/s[/tex]

Hence, the average speed during braking is 11.5 m/s

The half-life of carbon-14 is 5730 years. Explain how to figure out the age of a substance that has 25% carbon-14 remaining. A) Multiply 25% times 5730 years since only 25% of the carbon remains. B) Divide 5730 years by 2 since carbon has gone through two half-lives. C) Multiply 5730 years by 2 since two half-lives have gone by for carbon. D) Multiply 4 times 5730 years since carbon has gone through 4 half-lives.

Answers

Answer:

C

Explanation:

25% is two half lives.

Each half life requires 5730 years.

So two half lives requires  

2

×

5730

Related questions


Answer:  C) Multiply 5730 years by 2 since two half-lives have gone by for carbon.

Explanation:

Multiply 5730 years by 2 since two half-lives have gone by for carbon. 5730 years will go by and 50% will remain. When 25% is remaining, another 5730 years will have passed. Therefore, multiply 5730 years by 2.

what gives you a measurement of H + ions in osolutions

Answers

Answer:

pH is a measure of the hydrogen ion concentration in an aqueous solution. Essentially, pH measures acidity and alkalinity on a scale from 0.0 to 14.0.

For which job would a noise canceling device be the most beneficial?

a doctor detecting diseases

a veterinarian studying injuries in animals

a food scientist testing the preservation of food

a carpenter using saws and cutting tools

Answers

A carpenter using saws and cutting tools as the tools make loud noises.

Answer:

a carpenter using saws and cutting tools

Explanation:

In noise cancelling system we know that two sounds are cancelled just by using the concept of destructive interference.

Here when two sounds which are in opposite phase are superimposed with each other then due to this superposition of waves the resultant intensity will be less than the intensity of any individual wave.

This phenomenon is known as destructive interference.

This is used to decrease the level of sound in such a part of work where we have large sound in output so here correct answer will be

a carpenter using saws and cutting tools

This is because it produce large noise while we use this cutting tools

An object at rest increases its velocity to 10m/s in 3 seconds. What is its acceleration

Answers

Acceleration = (change in speed) / (time for the change)

Change in speed = (speed at the end) - (speed at the beginning).

Change in speed = (10 m/s) - (zero) = 10 m/s

Time for the change = 3 sec

Acceleration = (10 m/s) / (3 sec)

Acceleration = (3 and 1/3) m/s²  or 3.333 m/s²

To calculate the acceleration, use the change in velocity divided by the time. For an object going from rest to 10 m/s in 3 seconds, the acceleration is 3.33 m/s².

The question addresses the calculation of acceleration of an object in motion. To find the acceleration, we can use the formula:

Acceleration (a) = Change in velocity (omenclature) / Time (t)

In this scenario, the object goes from rest (initial velocity, u = 0 m/s) to a final velocity (v) of 10 m/s in a time (t) of 3 seconds.

Thus, acceleration (a) is calculated as:

a = (v - u) / t

a = (10 m/s - 0 m/s) / 3 s

a = 10 m/s / 3 s

a = 3.33 m/s²

The acceleration of the object is therefore 3.33 m/s².

The number three ball moves off with a velocity of 5 m/s. What is the final velocity and direction of the eight ball?

Answers

7 and a half millimeters long

A mouse with curled whiskers migrates from one forest community to another

Answers

What? What is the question??

A mouse with curled whiskers migrates from one forest community to another?

Is there a question?

what is the difference of a gemstone a rock and Crystal

Answers

A gem is a stones that is used to make jewelry. A crystal is apure substance that has molecules arranged in "a regular geometric pattern". A gem can also be a crystal, whereas a crystal can not be a gem.

Hope this helps. <3

Crystals are pure substances that have molecules arranged in a regular geometric pattern. A gem can be a crystal whereas a crystal will not always be a gem. Gems can have mineral bases such as ruby or diamond and an organic base such as amber.
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Hope I helped :)

Gravity can be described as (2 points)
an magnetic force found in nature.
the force that moves electrical charges.
the force that repels object with like charges.
the force of attraction between two objects

Answers

Answer:

"the force of attraction between two objects"

Explanation:

According to Newton's Universal Law of Gravitation, gravity is a force of attraction acting between objects that possess mass. The fact that we only observe gravitational attraction (as opposed to repulsion) makes gravity unique among the known forces.

Answer:

the force of attraction between two objects

Explanation:

Why do we always only see one side of the moon?

A. From Time to time we see all the sides of the moon from the Earth.

B. The far (opposite) side only faces the Earth during the daytime when the Sun’s light outshines the Moon.

C. The moon is tidally locked with the Earth.

D. The moon does not rotate.

Answers

The Answer would be C because it is a process called synchronous rotation. which means that one side of the moon is always facing us. or (tidal locking)

Answer:

C. The moon is tidally locked with the Earth.

Explanation:

Sandra moves 14 m in 2 minutes. What is Sandra’s average velocity?
1.98 m/s
0.23 m/s
0.78 m/s
2.56 m/s

Please help.

Answers

Given that,

Distance, s = 14 m

Time, t = 2 minutes = 2*60 = 120 s

Velocity = ?

Since, we know that,

Velocity = Distance / time

V = s/t

V = 14/ 120

V= 0.11667 m/s

The average velocity of Sandra will be 0.11667 m/s

Sandra’s average velocity is 0.1166 m/s

Explanation:

Velocity is a vector quantity and it is defined as the rate of change in displacement with respect to time. So ratio of displacement to time taken for that displacement or distance covered will give the magnitude of velocity.

Average velocity is defined as the average of different velocities exhibited by the object to cover different distances in different time intervals. As here only one distance and one time interval is given, average velocity of Sandra will be equal to the magnitude of velocity of Sandra.

So as Sandra moves 14 m distance in 2 m time, the velocity is

            [tex]\text {Average velocity }=\text {Magnitude of Velocity}=\frac{\text {Distance}}{\text {Time}}[/tex]

As the time is given in the units of minute, it should be converted to seconds. So the next step will be

    [tex]\text { Average Velocity }=\frac{14 \mathrm{m}}{2 \times 60 \mathrm{s}}[/tex] = 0.1166 m/s

Suppose the exhaust system on a heat engine is not functioning properly. Which statement best explains how this will affect the engine?

The temperature of the gas will not increase during the compression stage.

Burned gases will not be released into the surrounding air.

The fuel-air mixture will not be able to enter the cylinder.

Combustion and subsequent gas expansion will not occur.

Answers

Answer:

Option 2)

Burned gases will not be released into the surrounding air.

Explanation:

Given that the exhaust system on a heat engine is not functioning properly.

An exhaust system is a system which transfers  waste gases and other combustion products away from an automobile engine.

This system is the reason for  the vehicle to operate with minimal noise, smoke and pollution transmitted to the environment.

An improperly maintained exhaust system leads to the storage of burned gases inside only because the system is essential to the clean and efficient operation of the car

So option 2 is right.

Final answer:

The malfunctioning exhaust system will result in burned gases not being released into the surrounding air, interrupting the engine's ongoing cycle of operations. Option B

Explanation:

If the exhaust system on a heat engine is not functioning properly, the most accurate effect this will have on the engine is that burned gases will not be released into the surrounding air.

The exhaust system's primary function is to expel the combustion byproducts, which is crucial for making room for the fresh fuel-air mixture to enter and start the next combustion cycle.

Without this operation, the engine would not be able to sustain the series of intake, compression, combustion, and exhaust cycles that are necessary for continuous operation.

how do I calculate the speed of light and the distance between the earth and the moon?

Answers

To calculate the distance to a star, astronomers observe it from different places along Earth's orbit around the Sun. If they measure the object's position several months apart, their "two eyes" will have a separation of well over 100 million miles!

4x10^5+3.3x10^6 what is the answer

Answers

3700000 no problem ok


[tex]4 \times {10}^{5} + 3. 3 \times 10 {}^{6} = 400000 \\ + 3300000 = 3700000[/tex]
OR
[tex]4 \times {10}^{5} + 3.3 \times {10}^{6} \\ = 0.4 \times 10 {}^{6} + 3.3 \times {10}^{6} \\ = (0.4 + 3.3)10 {}^{6} \\ 3.7 \times {10}^{6} [/tex]



good luck

Solve for the unknown in each of these circuits

Answers

Ohms law: This law relates voltage difference between two points. Mathematically, the law states that V=IR;

                Where

                          V = voltage difference ; in volts

                          I = Current ; in Amperes

                          R = Resistance ; in ohms

1. Answer : given that R = 10 ; V= 12 V ;  I = ?

From ohms law,    I = V/R

                                = 12/10

                                = 1.2 Amp.

2. Answer:  given that R = 10 ; V= ? ;  I = 5

From ohms law,    V = IR

                                 = 10×5 = 50 V

3 . Answer:  given that R = ? ; V= 120 ;  I = 5

From ohms law,    R =  V/I

                                 = 120/5

                                 = 24 Ω

4 . Answer:  given that R = ? ; V= 10 ;  I = 20

From ohms law,    R =  V/I

                                 = 10/20

                                 = 0.5 Ω

5 . Answer:  given that R = 480 ; V= 24 ;  I = ?

From ohms law,  I =  V/R

                              = 24/480

                              = 0.05 A

6. Answer:  given that R = 150 ; V= ? ;  I = 1

From ohms law,  V = IR

                               = 1 × 150

                               = 150 V


sodium undergoes beta decay and becomes magnesium, write an equation. please help...

Answers

Remark

There are 2 kinds of Beta Decay. This one is an example of a neutron becomes a proton and the emitted  particle is an electron.

[tex]_{11}^{23}\text{Na}\longrightarrow_{12}^{23}\text{Mg}+_{-1}^{ 0}\text{1e-}[/tex]



Nuclear power has come under higher scrutiny in recent years. Which statement would make the strongest argument for the use of nuclear power? Nuclear power has come under higher scrutiny in recent years. Which statement would make the strongest argument for the use of nuclear power? Nuclear power has come under higher scrutiny in recent years. Which statement would make the strongest argument for the use of nuclear power? Nuclear power has come under higher scrutiny in recent years. Which statement would make the strongest argument for the use of nuclear power? Nuclear power has come under higher scrutiny in recent years. Which statement would make the strongest argument for the use of nuclear power? Nuclear power has come under higher scrutiny in recent years. Which statement would make the strongest argument for the use of nuclear power? Nuclear power has come under higher scrutiny in recent years. Which statement would make the strongest argument for the use of nuclear power? Nuclear power has come under higher scrutiny in recent years. Which statement would make the strongest argument for the use of nuclear power? Nuclear power has come under higher scrutiny in recent years. Which statement would make the strongest argument for the use of nuclear power? Nuclear power has come under higher scrutiny in recent years. Which statement would make the strongest argument for the use of nuclear power? Nuclear power has come under higher scrutiny in recent years. Which statement would make the strongest argument for the use of nuclear power? Nuclear power has come under higher scrutiny in recent years. Which statement would make the strongest argument for the use of nuclear power? Nuclear power has come under higher scrutiny in recent years. Which statement would make the strongest argument for the use of nuclear power? Nuclear power has come under higher scrutiny in recent years. Which statement would make the strongest argument for the use of nuclear power? Nuclear power has come under higher scrutiny in recent years. Which statement would make the strongest argument for the use of nuclear power? Nuclear power has come under higher scrutiny in recent years. Which statement would make the strongest argument for the use of nuclear power? Nuclear power has come under higher scrutiny in recent years. Which statement would make the strongest argument for the use of nuclear power? Nuclear power has come under higher scrutiny in recent years. Which statement would make the strongest argument for the use of nuclear power? Nuclear power has come under higher scrutiny in recent years. Which statement would make the strongest argument for the use of nuclear power? Nuclear power has come under higher scrutiny in recent years. Which statement would make the strongest argument for the use of nuclear power? Nuclear power has come under higher scrutiny in recent years. Which statement would make the strongest argument for the use of nuclear power? Nuclear power has come under higher scrutiny in recent years. Which statement would make the strongest argument for the use of nuclear power? Nuclear power has come under higher scrutiny in recent years. Which statement would make the strongest argument for the use of nuclear power? Nuclear power has come under higher scrutiny in recent years. Which statement would make the strongest argument for the use of nuclear power? Nuclear power has come under higher scrutiny in recent years. Which statement would make the strongest argument for the use of nuclear power? Nuclear power has come under higher scrutiny in recent years. Which statement would make the strongest argument for the use of nuclear power? Nuclear power has come under higher scrutiny in recent years. Which statement would make the strongest argument for the use of nuclear power?

Answers

Nuclear power generates large amounts of power with limited production of greenhouse gases.

is the answer

Answer: Nuclear power generates large amounts of power with limited production of greenhouse gases.

Explanation:

The speed of sound in air is about 340 meters per second. How long does it take a sound wave to travel a distance of 7800 meters

Answers

22.94 seconds, or in estimation it is 23 seconds.

7,800/340, is how you find that out and so it would take

22.94117647058824 seconds

How many hits each team permitted to have on their side(volleyball) before returning the ball to the other team?

Answers

the answer is 3

hope it helped


3 hits because it should take 3 strong hits to get it over the net.

The launching velocity of a missile is 20.0 m/s, and it is shot at 53º above the horizontal. What is the vertical component of the velocity at launch?

Answers

Given that

Velocity of missile (v) = 20 m/s ,

Angle of missile (Θ) = 53°

Determine ,   Vertical component  = v sin Θ

                                                        = 20 sin 53°

                                                        = 15.97 m/s

Our Sun will eventually:

A explode in a supernova.
B become a white dwarf star.
C become a black hole.

Answers

Answer:

B. Become a white dwarf star.

Explanation:

As the Sun is a medium size star in mid of its life of around 10 Billion years. When it will exhaust all the Hydrogen in the core, it will go through a long process of death: Converting into a red giant to Planetary Nebula to a white dwarf. It will spend trilliion of years in white dwarf phase before fading and converting to a Black dwarf.

If it had been a massive star it would have made a Supernova and then ultimately a black hole or a neutron star.

Final answer:

Our sun, a medium-sized star, will eventually turn into a white dwarf once its hydrogen fuel is exhausted. This is following the standard stellar evolution process. However, larger stars may explode as a supernova or form a black hole.

Explanation:

Our Sun is a star of average mass and will follow the stellar evolution process of stars in its mass range. It is predicted that once it exhausts its hydrogen fuel, it will eventually expand into a red giant and subsequently shed its outer layers, leaving behind a star core. This star core will shrink under its own gravity and become a white dwarf star.

In contrast, stars significantly larger than the Sun can explode in a spectacular event known as a supernova. Very massive stars have the potential to collapse under their own gravity and form a black hole.

Learn more about Stellar Evolution here:

https://brainly.com/question/32220788

#SPJ6

Warm blooded or cold blooded Animals are warm when their surroundings are warm and cool when their surroundings

Answers

Cold blooded animals

Your answer should be Cold Blooded Animals. Cold blooded animals don't have control over their own body temperature like humans or mammals do, most times cold blooded animals are reptiles, amphibians, etc. so they have to lay on rocks or someplace in the sunlight to warm up and have to go to water or shady areas to cool off. Hope this helps! =^-^=

When does a falling object reach terminal velocity?

Answers

At some speed, the drag or force of resistance will equal the gravitational pull on the object. At this point the object ceases to accelerate and continues falling at a constant speed called the terminal velocity (also called settling velocity).

Which of the following is one of the three main fuels that a star uses for fusion

Answers

Answer:

OXYGEN

Explanation:

from odyssey

You will stop your learning new tasks and skills after you are hired for your first job. Please select the best answer from the choices provided T F

Answers

Answer:

False

Explanation:

It is false that you will stop learning new tasks and skills once you are hired for your first job. Even if you have been able to obtain a job, this does not mean you can stop learning. It is likely that your job will present new challenges, and you need to be prepared for these. Moreover, you might also change jobs in the future, and knowing how to perform a wide variety of skills would most likely help you in your future.

what is the state of an object accelerating due to the force of gravity alone?

Answers

Answer:

Its state is in uniformly accelerated motion

Explanation:

When an object is acted upon the force of gravity only, we said that the object is in free fall.

According to Newton's second law of motion:

[tex]F=ma[/tex]

where F is the net force on an object, m is its mass, a its acceleration, when the net force on an object (F) is non-zero, than the object accelerates (because a is non-zero), so the object is in accelerated motion.

In case of free fall, the rate of acceleration of the object is equal to [tex]g=9.8 m/s^2[/tex], the acceleration due to gravity, and it is constant. So, the object is moving by uniformly accelerated motion.

What feature of a DMM allows you to connect the test probes in the circuit, remove the probes, and then read the measured value on the display?

A. Diode tester
B. Minimum/maximum feature
C. Delta feature
D. Touch/hold feature


Which direction do electrons travel?

A. They don't move; they simply exchange charge.
B. In either direction, depending on the circuit
C. From positive to negative
D. From negative to positive


A circuit contains a 40 ohm resistor and a 60 ohms resistor connected in parallel. If you test this circuit with a DMM, you should read a total resistance value of

A. 40 ohms.
B. 24 ohms.
C. 2400 ohms.
D. 2.5 ohms

Answers

B. 24 ohms. D. Touch/hold feature

D. From negative to positive =negative charges

B. 24 ohms.

in parallel, combined resistance is less than the lowest resistance

Final answer:

The Touch/Hold feature of a DMM allows measurement reading after removing the probes. Electrons travel from negative to positive, and the total resistance of a 40 ohm and 60 ohm resistor in parallel is 24 ohms.

Explanation:

The feature of a Digital Multimeter (DMM) that allows you to connect the test probes in the circuit, remove the probes, and then read the measured value on the display is known as the Touch/Hold feature. When answering the direction electrons travel, they move from negative to positive, which corresponds to conventional current direction from positive to negative in circuit theory.

Regarding the circuit containing a 40 ohm resistor and a 60 ohm resistor connected in parallel, the total resistance value you should read with a DMM is calculated by using the formula for parallel resistance: 1/R_total = 1/R1 + 1/R2. In this case, it would be 1/R_total = 1/40 + 1/60, which gives R_total = 24 ohms after calculating the sum and inverting it.

how did sonar contribute to discoveries about the ocean bottom

Answers

Answer:

Sonar can be used to measure the depth of the ocean bottom

Explanation:

Sonar is a device which uses ultrasound waves to measure the depth of the ocean.

When a sonar is used on a boat, the device emits an ultrasound wave. This wave travels from the boat to the bottom of the ocean, then it is reflected and travels back to the boat. By knowing the speed of the sound wave in water, and by measuring the time it takes for the wave to come back, one can measure the depth of the ocean. In fact:

- v is the speed of the sound wave in water (approximately 1500 m/s)

- t is the total time it takes for the wave to leave the sonar and come back

- d is the distance between the boat and the bottom of the ocean

The sound wave takes a time t to cover twice the distance between the boat and the bottom of the ocean (2d), so we have

[tex]v=\frac{2d}{t}[/tex]

So we can calculate the depth of the ocean:

[tex]d=\frac{vt}{2}[/tex]

Rubidium atoms are cooled to 0.20 μK in an atom trap. What is their de Broglie wavelength?

Answers

Final answer:

The de Broglie wavelength of rubidium atoms at 0.20 µK can be found using the de Broglie equation after determining the atoms' momentum, which involves calculating their velocities at the given temperature. Since the temperature is extremely low, the de Broglie wavelength will be relatively large.

Explanation:

The student is seeking the de Broglie wavelength of rubidium atoms cooled to 0.20 µK in an atom trap. To find the de Broglie wavelength, we must first calculate the momentum of the atoms, which can be done using the temperature and kinetic theory to find the velocity and then the momentum, assuming nonrelativistic speeds. The de Broglie wavelength (λ) is given by the equation λ = h/p, where h is Planck's constant and p is the momentum of the particle.

Without knowing the exact mass of rubidium or its velocity at this temperature, we cannot calculate the specific wavelength. However, since the temperature is very low, we can expect the wavelength to be relatively large compared to what it would be at higher temperatures due to the inversely proportional relationship between momentum and wavelength.

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