the figure shows an initially stationary block of mass m on a floor. A force of magnitude 0.500mg is then applied at upward angle θ= 20∘. What is the magnitude of the acceleration of the block across the floor if the friction coefficients are (a) μs=0.610 and μk=0.500 and (b)μs=0.400 and μk=0.300

Answers

Answer 1

Answer:

(a) 1.054 m/s²

(b) 1.404 m/s²

Explanation:

0.5·m·g·cos(θ) - μs·m·g·(1 - sin(θ))  - μk·m·g·(1 - sin(θ))  = m·a

Which gives;

0.5·g·cos(θ) - μ·g·(1 - sin(θ)   = a

Where:

m = Mass of the of the block

μ = Coefficient of friction

g = Acceleration due to gravity = 9.81 m/s²

a = Acceleration of the block

θ = Angle of elevation of the block = 20°

Therefore;

0.5×9.81·cos(20°) - μs×9.81×(1 - sin(20°)  - μk×9.81×(1 - sin(20°) = a

(a) When the static friction μs = 0.610  and the dynamic friction μk = 0.500, we have;

0.5×9.81·cos(20°) - 0.610×9.81×(1 - sin(20°)  - 0.500×9.81×(1 - sin(20°) = 1.054 m/s²

(b) When the static friction μs = 0.400  and the dynamic friction μk = 0.300, we have;

0.5×9.81·cos(20°) - 0.400×9.81×(1 - sin(20°)  - 0.300×9.81×(1 - sin(20°) = 1.404 m/s².


Related Questions

ANSWER ASAP!!!If a wave machine produces 10 waves in 2 seconds, what is the frequency of the machine in Hertz?

Answers

Answer:

5Hz

Explanation:

Frequency = No. of waves per second

10 waves are produced in 2 seconds

in one second 10/2 waves are produced

(ie) 5 waves are produced in 1 second

Therefore the frequency of wave is 5 Hz

If a sound travels 343m/s through air and has a frequency of 800Hz, what would the wavelength be of the same sound traveling through water 500m/s with the same frequency?

Answers

Answer:

0.625m

Explanation:

Now Velocity of a wave ,V = frequency × wavelength

Wavelength =velocity /frequency

=500/800 =0.625m

A 24 resistor, an inductor with a reactance of 12 , and a capacitor with a reactance of 10 are in series across a 60 V 50 Hz source. Calculate the voltage across the inductor.​

Answers

Answer:

A⋅24=24A

12=24A

10=24A

a⋅(60V)⋅(50Hz)=3000aVHz

Explanation:

Which change will increase the speed of a sound wave traveling in a solid aluminum rod?

Answers

Yessss sirrr it willllll

Answer:

Increasing the temperature of the rod

Explanation:


Jalen combines two substances in science class. Once combined, only one of the two substances
is visible. When he placed this combination into a filter, substance 1 stayed in the filter while
substance 2 went through it. Which of the following claims regarding Jalen's combination is the
most accurate?
a. This combination is not a mixture because he cannot see one of the substances.
b. The combination is a mixture because the substances can be separated.
c. The combination is not a mixture because the substances can be separated.
d. The combination is a mixture only because he cannot see one of the substances,

Answers

Answer: b. The combination is a mixture because the substances can be separated

Explanation: Based on the facts presented above, the combination of both both substances can be referred to as a mixture due to the following:

A mixture is obtained when two or more substances or materials are combined without a chemical reaction. This is observed when Jalen combined substance 1 and 2 with only one of the substances becoming visible after the combination.

The other reason is that, a mixture can be separated back into its original constituent, this is evident when the combination was filtered with only substance 2 going through the filter and substance 1 remaining in the filter

a bike travels 4 miles in half an hour, what is its speed?

Answers

Answer:

8 mph

Explanation:

4 miles in half hour so you add 4 more for the second half


Explain why It takes longer to heat a cinema to the same temperature as a house.

Answers

i think because a cinema is bigger than a house.

What are the materials necessary to create an electromagnet?
A) power source, metallic core, and electrical conductor

B) metallic core and power source only

C)metallic core magnet, and power source

D)electrical conductor and power source only​

Answers

Answer:

A

Explanation:

Electromagnet: It is a temporary magnet. It consists of wrapping coils around iron core and the power source. When the current passes through the coils around the iron core then it will get magnetized. The domains of the electromagnet gets aligned.

As long as the current passes through it, it will get magnetized. It will loose its magnetism easily when the power is switched off.

In the electromagnet, the strength of the magnetism can be increased or decreased. The poles of the electromagnet are not fixed.

I think answer is b. Please give me brainlest I hope this helps let me know if it’s correct or not thanks I appreciate it

The velocity of a particle moving along the x axis is given for 1> 0 by v: = (32.0t - 2.00t^3) m/s,
where t is in s. What is the acceleration of the particle when (after t = 0) it achieves its maximum
displacement in the positive x direction?

Answers

The acceleration of the particle when it achieves its maximum displacement in the positive x-direction is 32 m/s²

To calculate the acceleration of the particle, we need to differentiate the expression for the velocity.

 

Given:

v = 32t-2t³

differentiate v with respect to t

dv/dt = a = 32+2(3)t²dv/dt = 32+6t²................... Equation 1

When the particle achieves its maximum displacement,

t = 0 s

Substitute these value of t into equation 1

dv/dt = 32+6(0²)dv/dt = 32 m/s²

Hence The acceleration of the particle when it achieves its maximum displacement in the positive x-direction is 32 m/s²

Learn more about acceleration here: https://brainly.com/question/605631

find the value of currents through each branch

Answers

Answer:

the branch currents are as follows:

  top left: I2 = 0.625 A

  middle left: I1 = 2.500 A

  bottom left: I1-I2 = 1.875 A

  top center: I2+I3 = 2.500 A

  bottom center: I2+I3-I1 = 0 A

  right: I3 = 1.875 A

Explanation:

You can write the KVL equations:

Top left loop:

  I2(4) +(I2 +I3)(2) +I1(1) = 10

Bottom left loop:

  (I1-I2)(4) +(I1-I2-I3)(2) +I1(1) = 10

Right loop:

  (I2+I3)(2) +(I2+I3-I1)(2) = 5

In matrix form, the equations are ...

  [tex]\left[\begin{array}{ccc}1&6&2\\7&-6&-2\\-2&4&4\end{array}\right]\cdot\left[\begin{array}{c}I_1\\I_2\\I_3\end{array}\right] =\left[\begin{array}{c}10\\10\\5\end{array}\right][/tex]

These equations have the solution ...

  [tex]\left[\begin{array}{c}I_1\\I_2\\I_3\end{array}\right] =\left[\begin{array}{c}2.500\\0.625\\1.875\end{array}\right][/tex]

This means the branch currents are as follows:

  top left: I2 = 0.625 A

  middle left: I1 = 2.500 A

  bottom left: I1-I2 = 1.875 A

  top center: I2+I3 = 2.500 A

  bottom center: I2+I3-I1 = 0 A

  right: I3 = 1.875 A

_____

This can be worked almost in your head by using the superposition theorem. When the 5V source is shorted, the 10V source is supplying (I1) to a circuit that is the 4 Ω and 2 Ω resistors in parallel with their counterparts, and that 2+1 Ω combination in series with 1 Ω for a total of a 4Ω load on the 10 V source. That is, I1 due to the 10V source is 2.5 A, and it is nominally split in half through the upper and lower branches of the circuit. There is no current flowing through the (shorted) 5 V source branch.

When the 10V source is shorted, the 5V source is supplying a 4 +4 Ω branch in parallel with a 2 +2 Ω branch, a total load of 8/3 Ω. This makes the current from that source (I3) be 5/(8/3) = 15/8 = 1.875 A. There is zero current from this source through the 1 Ω resistor.

Nominally, the current from the 5V source splits 2/3 through the 2 Ω branch and 1/3 through the 4 Ω branch.

Using superposition, I2 = I1/2 -I3/3 = (2.5 A/2) -(1/3)(15/8 A) = 0.625 A. This is the same answer as above, without any matrix math.

  (I1, I2, I3) = (2.5 A, 0.625 A, 1.875 A)

__

It helps to be familiar with the formulas for resistors in series and parallel.

Carlotta makes a graphic organizer about the steps of the Sun’s hydrogen fusion process. A venn diagram of 3 intersecting circles with one circle labeled step 1, a second circle labeled step 2 and the third labeled step 3. There is a V in the step 1 circle. There is a Z in the step 3 circle. There is a W in the intersecting circle between step 1 and step 2. There is a Y in the intersecting section between step 2 and step 3. There is an X in the intersecting area of all 3 circles. She wants to add three labels. Label 1: is a reactant. Label 2: Energy is released. Label 3: Helium is produced. What is the best placement of the labels? Label 1 in region V. Label 2 in region X. Label 3 in region Z. Label 1 in region W. Label 2 in region Y. Label 3 in region Z. Label 1 in region W. Label 2 in region X. Label 3 in region Y. Label 1 in region V. Label 2 in region Z. Label 3 in region Y.

Answers

Answer:

label 1:w

label 2: x

label 3:y

Explanation:

you should add me on sp  annabell_aaaa

Answer:

w,x,y

Explanation:

i did it on edg

help......,.........................​

Answers

Answer:

Explanation:

R1= (1/6 + 1/6)rised to -1 = 3 ohm

R total = R1 + 6 = 3+ 6 =  9 ohm

A 20 cm
B 15 cm
C 10 cm
D 5 cm
E 0 cm
If potential energy at point A is 12 joules, what is the potential energy at C?

Answers

Answer:

4.8.

Explanation

What is "In an isolated system two cars, each with a mass of 2,000 kg, collide. Car 1 is initially at rest , while car 2 was moving at 20 m/s. what is their combined momentum after the collision?"

Answers

Answer:

Final velocity of the combining cars = 10m/s

combined momentum = 40000kgm/s

Explanation:

Given the following :

Mass of both colliding cars = 2000kg

Initial Velocity of car 1 (U1) = 0

Initial Velocity of car 2 (U2) = 20m/s

Combuned momentum after collision =?

This is an inelastic collision which is calculated thus :

M1U1 + M2U2 = M1V + M2V

M1U1 + M2U2 = (M1 + M2) V

Where V = "final Velocity of the colliding bodies

2000 × 0 + 2000 × 20 = (2000 + 2000) V

0 + 40000 = 4000V

V = 40000 / 4000

V = 10m/s

Therefore combined momentum = (M1 + M2) V

(2000 + 2000) 10

4000(10) = 40000kgm/s

April sits at rest on a skateboard. She has a mass of 65 kg. Her friend throws
her a suitcase (m= 15 kg) at a speed of 3 m/s. If she catches it, how fast will
she, the skateboard, and the suitcase move?

Answers

Answer:

[tex]Velocity = 0.5625m/s[/tex]

Explanation:

Given

Represent mass of April with M and mass of the suitcase with m; such that

[tex]M = 65kg[/tex]

[tex]m = 15kg[/tex]

Represent initial velocity of April with U and initial velocity of the suitcase with u; such that

[tex]U = 0m/s[/tex] (because she's resting on the skateboard, initially)

[tex]u = 3m/s[/tex]

After she catches the suitcase, she, the skateboard and the suitcase moves at the same velocity.

Represent this velocity with v

The above given information can be representing using law of conservation of momentum.

[tex]MU + mu = (M + m)v[/tex]

Substitute the values of M,U, m and u.

This gives

[tex]65 * 0 + 15 * 3 = (65 + 15)v[/tex]

[tex]0 + 45 = (80)v[/tex]

[tex]45 = 80v[/tex]

Divide both sides by 80

[tex]\frac{45}{80} = \frac{80v}{80}[/tex]

[tex]0.5625 = v[/tex]

Hence, they moved at a velocity of 0.5625m/s

Covalent bonds are formed between .....

non-metal and non-metal

two or more nonmetals

metals and metals

Answers

Answer:

Non metal and nonmetal

Explanation:

Covalent bonds are formed between non-metal and non-metal

Hope this helps...

A body is moving vertically upwards. It’s velocity changes at a constant rate from 50m/s to 20m/s in 3 sec. What is it’s acceleration ?

Answers

Answer:

-10 m/s²

Explanation:

a = Δv / Δt

a = (20 m/s − 50 m/s) / 3 s

a = -10 m/s²

Answer 10 m/s²

Explanation:

a = Δv / Δt

a = (20 m/s − 50 m/s) / 3 s

a = -10 m/s²

Explanation:

two current carrying wires are placed next to each other. Their currents are moving in the same direction. Suggest why each wire experiences a force​

Answers

When there are two currents flowing in opposite direction the magnetic field are moving in the same directions. When the currents flow in the same direction the magnetic field will be opposite, causing the wires to attract.

Sa se calculeze caldura degajata de un fier de calcat dace este alimentat la 220v si este parcurs de un curent electric de 100 a. Se stie ca acesta functioneaza 25 de min

Answers

Answer

33,000,000 joules or 33MJ

Explanation:

The formula for calculating the heat released by a substance is expressed as shown below;

where;

Q is the amount of heat released

p is the power expended

t is the time it takes

[tex]Since P = current * voltage\\P = IV[/tex]

Then;

[tex]Q = IVt[/tex]

Given the current I = 100A, supply voltage V = 220V and required time t = 25mins

t = 25 * 60 = 1500 seconds

Substituting these values ​​in the formula that we have;

[tex]Q = 100 * 220 * 1500\\Q = 22000*1500\\Q = 33,000,000Joules\ or\ 33MJ[/tex]

An object has a kinetic energy of 35j and a mass of 24j kg,how fast is the object moving?

Answers

Answer:

v = 1.7 m/s

Explanation:

We have,

The kinetic energy of the object is 35 J

Mass of the object is 24 kg

It is required to find the speed of the object. If v is the velocity, then kinetic energy is given by :

[tex]E=\dfrac{1}{2}mv^2[/tex]

or

[tex]v=\sqrt{\dfrac{2E}{m}} \\\\v=\sqrt{\dfrac{2\times 35}{24}} \\\\v=1.7\ m/s[/tex]

So, the speed of the object is 1.7 m/s.

I really need help so heres the question: "A 100 watt lightbulb is on for 2 hours a day" What is the energy in watt-hour (Wh) it consumes per day?

Answers

Answer:

Explanation:

You have to assume the lightbulb consumes 100 watts of power. If it gives off 100 watts equivalent of light, you cannot solve the problem.

W = 100 watts

T = 2 hours

Energy = W * h

Energy = 100 * 2

Energy = 200 watt*hours

an object is moving in a straight line with constant acceleration a)its acceleration start increasing at some rate than b)
velocity will start decreasing c) its velocity will keep on increasing d)its velocity will remain constant or objective is suddenly come to a stop​

Answers

Answer:

C

Explanation:

Velocity = velocity (initial) + acceleration*time.

More time - higher velocity.

The law of conservation of energy states

Answers

that the total energy of an isolated system remains constant and is said to be conserved over time

~Fast-moving currents of air that occur above the friction layer are called?

mesocyclone

wind trains

chinooks

jet streams

Answers

Answer:

the answer is jet stream [100%] sure

The pressure of a gas is affected by what two things?
a. Quantity and Temperature
b. Pressure and Temperature
c. Quantity and Pressure.
d. Pressure and Height


Answers

Answer:

the correct answer is,

a. Quantity and Temperature

Answer:

B

Explanation:

pressure because, if the volume increases the pressure decreases.

Temperature because, if its hot molecules will be farther apart and if its cold molecules wil be tightly together

pls mark me brainliest

What is the magnetic force on a 200 cm length of (straight) wire carrying a current of 30 A in a region where a uniform magnetic field has a magnitude of 0.055 T and is directed at an angle of 20 away from the wire

Answers

Answer:

F = 0.112 N

Explanation:

To find the magnitude of magnetic force on the wire, you use the following formula:

[tex]|\vec{F}|=|i\vec{L}\ X\ \vec{B}|=iLBsin\theta[/tex]   (1)

L: length of the wire = 200cm = 0.2m

i: current in the wire = 30 A

B: magnitude of the magnetic field = 0.055 T

θ: angle between the directions of L and B = 20°

You replace the values of L, i, B and θ in the equation (1):

[tex]|\vec{F}|=(30A)(0.2m)(0.055T)sin(20\°)=0.112N[/tex]

hence, the magnetic force on teh wire is 0.112N

An 80 kg skateboarder moving at 3 m/s pushes off with her back foot to move faster. If her velocity increases to 5 m/s, what is her change in kinetic energy as a result? J How much work did she perform? J

Answers

Answer:

640 J

Explanation:

ΔKE = KE − KE₀

ΔKE = ½ mv² − ½ mv₀²

ΔKE = ½ m (v² − v₀²)

ΔKE = ½ (80 kg) ((5 m/s)² − (3 m/s)²)

ΔKE = 640 J

Her kinetic energy increases by 640 J, so she does 640 J of work.

It's 640 for both answers. :)

The differences between microwaves and infrared radiation are due to differences in their _____.


A 25 V battery is connected into a circuit with two resistors in series. One resistor has resistance 5.0 Ω and the other has resistance 7.5 Ω. What is the voltage drop across the 7.5 Ω resistor?

Answers

Answer:

15 V

Explanation:

From the question,

For series connection: (i) Both resistor have a common current flowing through the (ii) The combined resistance = R1+R2

Rt = R1+R2.................. Equation 1

Given: R1 = 5 ohms, R2 = 7.5 ohms.

Rt = 5+7.5 = 12.5 ohms.

Applying Ohm's law,

V = IRt................... Equation 2

Where V = Voltage, I = current.

make I The subject of the equation

I = V/Rt.............. Equation 3

Given: V = 25 V, Rt = 12.5 ohms.

Substitute into equation 3

I = 25/12.5

I = 2 A.

Now,

Voltage drop across the 7.5 ohms resistor = R2×I

Voltage drop across the 7.5 ohms resistor = 7.5×2

Voltage drop across the 7.5 ohms resistor = 15 V

Find the prime factorization of 168.​

Answers

Answer:

2 x 2 x 2 x 3 x 7 = 168

Explanation:

Prime factors of 168: 2, 3 and 7

These are the factors of 168:  1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168. Only 2, 3 and 7 are prime numbers meaning that they are only divisible by themselves and 1. Therefore they are the prime factors.

Answer:

Prime factors of 168: 2, 3 and 7

what is meant by tyndall effect? in point wise with example.​

Answers

Answer:

scattering of light

Explanation:

is the scattering of light as a light beam passes through a colloid. The individual suspension particles scatter and reflect light, making the beam visible. ...

Other Questions
which of the following objects have kinetic energy? check all that apply Selma needs to ensure that users who have access to her presentation are unable to make changes to the presentation.What should she do?O Apply password protection and only distribute the read-only password.O Use the Mark as Final featureO Restrict access to the presentation at the file serverO Use the Protected View option. 1.What elements of Tolstoy's Russia are introduced in this section of the story? Keep in mind the background information. perpendicular help i need help mediate adj Definition: occupying a middle position Synonyms: central, intermediate, medium, middle Antonyms: extreme, farthest, outermost, utmost verb Definition: to get something by working with both sides in a dispute Synonyms: interpose, intercede, intervene Antonyms: avoid, disregard, ignore, overlook choose a synonym for the word mediate as it would be used in this sentence. After looking at much of the evidence, Arlo took a(n)___ stance on the issue, believing that there was no absolute right or wrong.(A) central(B) extreme(C) interpose(D) disregarded The Seven Sisters, seven stars located more than 400 light-years away in the Taurus constellation can be seen here with Venus and another constellation, Orion. The seven stars stay grouped together but seem to move, like the planet Venus. Why do stars seem to move like planets in the night sky?A)Both the stars and the planets are orbiting around the Earth.B)The night sky rotates around the planets in our solar system.C)They seem to move because they are so far away and we cannot see exactly what happens.D)Stars seem to move because Earth is rotating on its axis; planets do move around the Sun. Choose the simplified form of the fifth term of the expansion. -60x2y8 -30x2y8 30x2y8 60x2y8 Which molecule produces the most ATP? PLEASE HELP THE DEADLINE IS IN AN HOUR!!! ( 30 points and will mark brainliest)what is the meaning of the word above. assailed-warmed-massaged-attacked-healedenmity-cooperation-boredom-debate-hostilityrebuffed-rejected-mocked-accepted-ignoredingratiated-joined-charmed-offended-irritatedcompunction-uneasinessaddictionyearning-tensiondereliction-fulfillment-loss-neglect-attentionirrefutable-shakey-implausible-undeniableheirloom-inherited-shabby-comfortable-homemadequarry-patience-target-anger-accomplishmentcrestfallen-rebellious-determined-dejected-incredulousim so bad at vocab lol but i realy need help thank you sm What's the 10th term of a sequence with an explicit rule of f(n) = 5 + 2(n 1)?A. f(10) = 23B. f(10) = 5C. f(10) = 13D. f(10) = 20 Which is true for both photosynthesis and cellular respiration? A. They require oxygen as a reactant. B. They require organelles. C. They require light energy from the Sun. D. They require cells to use water. can anyone help? i dont understand this ! For which purpose and audience would a website be the most effective?A. Asking someone to go to the promwithyouB. Applying for a job at the shoe store at the mallC. Inquiring about volunteer opportunities for a local politicalcandidateD. Informing the student body about the school's new recyclingprogram what are the two primary functions of drawing? Anita is editing her draft essay about a lion sanctuary she visited. She frowns at the following sentences:"There were about 20 lions in the sanctuary. A lot of workers would take care of them. Sometimes, a few lions would try to escape."Anita needs to edit her sentences for __________.redundancygrammatical errorsvague languageconnotation PLZZZ HELPP 3+7 - 1/2 is an example of A. a numerical equation B. an algebraic equation C. a numerical expressionD. an algebraic expression true or false: Morbidity refers to the proportion of deaths to a population. 99 points for brainliest Changes to a will are made inA. The postscriptB. The bodyC. The codicilD. The fiduciary John has an auto which is covered for collision losses subject to a $250 deductible. Kate's auto also has collision coverage but her deductible is $500. How would a $2,000 collision loss be paid if it occurs when John borrows Kate's car because his car is in the shop for repairs?