A 3.90 kg block is in equilibrium on an incline of 31.0◦. The acceleration of gravity is 9.81 m/s2 . What is Fn of the incline on the block? Answer in units of N.

Answers

Answer 1

Answer:

Explanation:

The sum of the pore along the plane is expressed according to Newton's law

Fn-Ff = ma

Fn is the moving force

Ff = nR = frictional force

m is the Mass

a is the acceleration

Substitute the given values

Fn - nR = ma

Fn - tan31°(mgcostheta) =3.9(9.8)

Fn - tan31(3.9(9.8)cos31) = 3.9(9.8)

Fn - tan31(38.22cos31)= 38.22

Fn - 32.76tan31 = 38.22

Fn-19.68 = 38.22

Fn = 38.22+19.68.

Fn = 57.90N

Hence Fn (moving force) of the inclined block is 57.90


Related Questions

¿Cuál será la potencia o consumo en watt de una ampolleta conectada a una red de energía eléctrica doméstica monofásica de 220 volt, si la corriente que circula por el circuito de la ampolleta es de 0,45 ampere?.

Answers

Answer:

La potencia o consumo en watt de una ampolleta conectada a una red de energía eléctrica doméstica monofásica de 220 volt, si la corriente que circula por el circuito de la ampolleta es de 0.45 ampere, es 99 Watts.

Explanation:

Potencia es la velocidad o rapidez con la que se consume la energía. Siendo la energía la capacidad que tiene un mecanismo o dispositivo eléctrico cualquiera para realizar un trabajo, también se puede definir potencia como la energía desarrollada o consumida en una unidad de tiempo. Su unidad de medida es el Watt.

La ley de Watt establece que la potencia eléctrica P suministrada por un elemento de circuito, es directamente proporcional al producto entre la tensión de la alimentación V del circuito y la intensidad de corriente I que circula por él.  

Matemáticamente, la ley de Watt se expresa:

P = V.I

donde V es medida en Volt e I es medida en Ampere.

En este caso:

V=220 voltI= 0.45 ampere

Reemplazando:

P= 220 volt* 0.45 ampere

P= 99 Watts

La potencia o consumo en watt de una ampolleta conectada a una red de energía eléctrica doméstica monofásica de 220 volt, si la corriente que circula por el circuito de la ampolleta es de 0.45 ampere, es 99 Watts.

A 7 kg ball is moving at a constant speed of 5 m/s. A force of 300 N is applied to the ball for 4 s. The new speed of the ball is ?

Answers

Answer:

The new speed of the ball is 176.43 m/s

Explanation:

Given;

mass of the ball, m = 7 kg

initial speed of the ball, u = 5 m/s

applied force, F = 300 N

time of force action on the ball, t = 4 s

Apply Newton's second law of motion;

[tex]F = ma = \frac{m(v-u)}{t}\\\\m(v-u) = Ft\\\\v-u = \frac{Ft}{m}\\\\v = \frac{Ft}{m} + u[/tex]

where;

v is new speed of the ball

[tex]v = \frac{Ft}{m} + u\\\\v =\frac{300*4}{7} + 5\\\\v = 176.43 \ m/s[/tex]

Therefore, the new speed of the ball is 176.43 m/s

Density Questions
How many blocks of ice-cream each 10cm x 10 cm x 4cm can be stored in the compartenent of a deep-freeze measuring 40 cm x 40cm x 20cm?

Answers

Explanation:

let's take the volume of each first:

ice cream: 10×10×4=400cm^3

freezer: 40×40×20=32,000cm^3

now we just divide: 32000/400=80

Someone help me plz. I have no idea. ​

Answers

Answer:

fault im pretty sure

Explanation:

Answer:

fault............

...........

Question 18 (2 points)
A supersonic jet flying at 100 m/s is accelerated uniformly at the rate of 20 m/s2 for 20 s. What is its final velocity?

Answers

You can’t ask a question life this and say “(2 points)”first of all the app pickshow many points it is two that’s just disrespectful

do you think it’s likely that there are other earth-like planets in our universe?

Answers

Answer:

yes it's a matter of probability

Answer:

Absolutely!

Explanation:

Its almost impossible that we are the only goldilocks planet when there are billions of stars, each of them being suns with planets. Some other planet somewhere must be able to support life, don't you think?

draw a rough sketch of india to show the densely populated states any two​

Answers

Answer: Im questing this what your looking for

Explanation:

A constant force pushes a 5 kg brick at 10 N. If the mass was tripled, what would happen to the acceleration if the same force is applied?
(PLEASE SHOW WITH STEPS)

Answers

Explanation:

The original acceleration is:

∑F = ma

10 N = (5 kg) a

a = 2 m/s²

If the mass is tripled, the new acceleration is:

∑F = ma

10 N = (15 kg) a

a = 0.67 m/s²

The acceleration is reduced by a factor of 3.

Answer:

1.35 miles per second

Explanation:

1 step it depende the way and hight he is

2 step the mass of the brick it depends

3 if it was triplet the acceleration it would be 1.50

An electron with a total energy of 19GeV travels through an accelerator tube with proper length 7.7km. a) What is the length of the tube in the electron's frame? E= m b) How long does it take in the frame of the electron? E= s c) How long does it take in the frame of the tube? T= s Note: the rest energy of an electron is: 0=0.51MeV.

Answers

Answer:

a) Approximately 0.2066 m

b) 0.00002568443 s

c) Approximately 188.87 s

Explanation:

a) The total energy of the electron = 190GeV

The rest energy of the electron = 0.51 MeV

[tex]\dfrac{19 \ GeV}{0.51 \ MeV} = 37254.902 = \dfrac{1}{\sqrt{1 + \dfrac{u^2}{c^2} } }[/tex]

[tex]\left ( 1 - \dfrac{u^2}{c^2} \right ) = \dfrac{1}{37254.902^2} } }[/tex]

[tex]\left ( 1 - \dfrac{1}{37254.902^2} } } \right ) = \dfrac{u^2}{c^2}[/tex]

u = √(299792458² × (1 - 1/37254.902²)) = 299792457.892

β = v/c = 299792457.892/299792458 = 0.99999999964

[tex]\beta = \sqrt{1 - \left ( \dfrac{\Delta x}{\Delta x'} \right )^2}[/tex]

Δx = √(Δx'²×(1 - β²)) = √(7700²×(1 - 0.99999999964²)) ≈ 0.2066 m

The length of the tube in the electron's frame ≈ 0.2066 m

b) The time in the frame of the electron is given as follows;

Δt' = 7700/299792457.892 = 0.00002568443 s

c) The time in the frame of the tube is given as follows;

[tex]\beta = \sqrt{1 - \left ( \dfrac{\Delta t'}{\Delta t} \right )^2}[/tex]

1 - β² = (Δt'/Δt)²

Δt = √(Δt'/(1 - β²)) = √(0.00002568443 /(1 - 0.99999999964²)) ≈ 188.87 s.

ALWAYS use significant figure rules. Remember that these rules apply to all numbers that are measurements.
In working this problem, assume the value of "g" to be 9.8 m/s2 with two (2) significant digits unless otherwise stated.
A machine exerts a 100 N force to the right over a 5.00 meter length in 4.00 seconds. Calculate the power output of this machine.

_____ W

500.
125
80.0
0.200

Answers

Answer:

The answer is 500

Explanation:

Two metallic rods A and B of different materials have same length. The linear expansivity of A is 12×10–6 oC–1and cubical expansivity of B is 24×10–6 oC–1. If both rods are heated from 20oC to 100oC, the length of rod A will be....................... The length of rod B.

Answers

Answer:

The length of rod A will be greater than the length of rod B

Explanation:

We, know that the formula for final length in linear thermal expansion of a rod is:

L' = L(1 + ∝ΔT)

where,

L' = Final Length

L = Initial Length

∝ = Co-efficient of linear expansion

ΔT = Change in temperature

Since, the rods here have same original length and the temperature difference is same as well. Therefore, the final length will only depend upon the coefficient of linear expansion.

For Rod A:

∝₁ = 12 x 10⁻⁶ °C⁻¹

For Rod B:

∝₂ = β₂/3

where,

β₂ = Coefficient of volumetric expansion for rod B = 24 x 10⁻⁶ °C⁻¹

Therefore,

∝₂ = 24 x 10⁻⁶ °C⁻¹/3

∝₂ = 8 x 10⁻⁶ °C⁻¹

Since,

∝₁ > ∝₂

Therefore,

L₁ > L₂

So, the length of rod A will be greater than the length of rod B

5. What are the horizontal and vertical components of a 10 unit vector that is oriented 48
degrees above the horizontal?

Answers

Answer:

Fx  = 6.69 [N]

Fy  = 7.43 [N]

Explanation:

In order to solve this problem, we must remember that the x & y components of a vector can be determined using the cosine and sine function of the angle.

Fx = 10*cos (48) = 6.69 [N]

Fy = 10*sin (48) = 7.43 [N]

Una persona de 80 kg de masa corre a una velocidad cuya magnitud es de 9m/s. Cual es la magnitud de la cantidad de movimiento? Que magnitud de velocidad debe llevar una persona de 55 kg para tener la misma magnitud de la cantidad de movimiento que la persona de 80 kg?

Answers

Responder:

13,01 m / s

Explicación:

Paso uno:

datos dados

masa de la persona 1 m = 80 kg

velocidad de la persona 1 v = 9 m / s

masa de la persona 2 M = 55kg

velocidad de la persona 2 v =?

Segundo paso:

la expresión del impulso se da como

P = mv

para la primera persona, el impulso es

P = 80 * 9

P = 720N

Paso tres:

queremos que la segunda persona tenga el mismo impulso que la primera, por lo que la velocidad debe ser

720 = 55v

v = 720/55

v = 13,09

v = 13,01 m / s

Por lo tanto, la magnitud de la velocidad debe ser 13.01 m / s.

On a seismogram, higher lines drawn in the paper indicate weaker seismic waves.

True
False

Answers

True- just pick true

Explanation: it's true

which is one characteristic of an electron?

Answers

Answer:

The electron is a negatively charged particle found in the atoms of all the elements. The electrons are located outside the nucleus in an atom. An electron is usually represented by the symbol (e –). The mass of an electron is about the mass of a hydrogen atom.

Explanation:

An object with a mass of 5 kilograms starts from rest and achieves a maximum speed of 10 meters per second in 0.5 seconds. What average unbalanced force on this object?

a. 50 N

b. 100 N

c. 10 N

d. 1000 N

Answers

Answer:

I think 1000 N............

1000 N hope it helps !

Why are wildfires getting worse ? Does is have to do with Climate Change ?

Answers

Answer:

There is a logical explanation for that.

Explanation:

Human activities such as lighting campfires and discarding lit cigarettes are responsible for starting fires, hotter weather makes forests drier and more susceptible to burning.

Rising temperatures, a key to climate change, evaporate moisture from the ground, drying out the soil, and making vegetation more flammable. At the same time, winter snowpacks are melting a month earlier, meaning forests are drier for longer periods.

As drought and rising heat continue with rising greenhouse gas emissions, there will be more expected wildfires in the years ahead, especially with the fire seasons getting longer.

A person weighing 600N runs up a flight of stairs. It takes the person 10s to get to the top. They are 6m higher at the top of the stairs. How much power was used?

Answers

Answer:

[tex]Power = 360W[/tex]

Explanation:

Given

[tex]Force = 600N[/tex]

[tex]Time = 10s[/tex]

[tex]Height = 6m[/tex]

Required

Determine the power used

First, we need to calculate the work done to climb the stairs.

[tex]Word = Force * Distance[/tex]

In this case, the distance represents the height of the stairs.

So:

[tex]Work = 600N * 6m[/tex]

[tex]Work = 3600J[/tex]

Next, we calculate the power using:

[tex]Power = \frac{Work}{Time}[/tex]

Substitute values for Work and Time

[tex]Power = \frac{3600J}{10s}[/tex]

[tex]Power = 360W[/tex]

Hence, the power used by the person is 360 watts

- A ball is thrown at a wall 50 meters away. It takes the ball 5 seconds to get to
the wall it is thrown at What is the average speed of the ball? SPEED

Answers

Answer:

The answer is 10 m/s

Explanation:

The average speed of the ball can be found by using the formula

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

d is the distance

t is the time taken

From the question we have

[tex]v = \frac{50}{5} \\ [/tex]

We have the final answer as

10 m/s

Hope this helps you

A box of mass 60 kg is at rest on a horizontal floor that has a static coefficient of friction of 0.6 and a kinetic coefficient of 0.25
a)The minimum force necessary to start moving the box
b) The friction force and the acceleration of the box if a horizontal force of 400 N is applied

Answers

Answer:

a) F = 353.2 N

b) [tex]F_{f} = 147.2 N [/tex]

   a = 4.21 m/s²

Explanation:

a) The minimum force necessary to start moving the box s given by:       

[tex]\Sigma F = 0[/tex]

[tex] F - \mu_{s}N = 0 [/tex]

[tex] F = \mu_{s}mg [/tex]

Where:

F: is the force applied to move the box

μs: is the static coefficient of friction = 0.6          

m: is the mass = 60 kg

g: is the gravity = 9.81 m/s²

[tex] F = 0.6*60 kg*9.81 m/s^{2} = 353.2 N [/tex]

b) The acceleration is:

[tex] F - F_{f} = ma [/tex]

[tex] F - \mu_{k}mg = ma [/tex]              

[tex] a = \frac{F - \mu_{k}mg}{m} = \frac{400 N - 0.25*60 kg*9.81 m/s^{2}}{60 kg} = 4.21 m/s^{2} [/tex]

Now, the friction force is:

[tex] F_{f} = \mu_{k}mg = 0.25*60 kg*9.81 m/s^{2} = 147.2 N [/tex]

I hope it helps you!    

On the moon, the acceleration due to gravity is one-sixth that of earth. That is gmoon = gearth /6 = (9.8 m/s2 )/6 = 1.63 m/s2 . What effect, if any, would this have on the period of a pendulum of length L? How would the period of this pendulum differ from an equivalent one on earth?

Answers

the pendulum would differ from 300 inches

What is the average speed of a car that traveled for 192.5 miles in 3.5 hours?

Answers

Answer:

55miles per hour

Explanation:

speed=distance/time

speed=192.5miles/3.5hours

speed=55miles per hour

Answer:

55miles per hour

Explanation:

Simply divide the number you travelled with the hour you will get the answer.

A ball weighing 60 N is swinging like a pendulum at the end of a 6.0 m rope. As the
ball swings through its lowest point, its speed is measured at 5.0 m/s. What is the
tension in the rope at this point?

Answers

Answer:

Tension = 60 N

Explanation:

The ball is executing a motion like a pendulum. The lowest point of a pendulum's motion is the mean position, where its potential energy becomes zero and kinetic energy becomes maximum. At this point the rope becomes straight vertical. Hence, the tension in the rope becomes exactly equal to the weight of the object at the lowest point. Also, in this case when the ball swings through the lowest point during its motion like a pendulum, the tension in the rope will become equal to the weight of the ball.

Tension = Weight

Tension = 60 N

kinetic energy is energy in the form of motin

Answers

Answer:

yes

Explanation:

A falling object is said to reach a constant velocity (terminal velocity)..

a. when there is no gravitational force acting on it.

b. when there is no air resistance acting on it.

c. when air resistance equals the acceleration of gravity on it.

d. when it stops falling.

Answers

C

Terminal velocity is the maximum velocity attainable by an object as it falls through a fluid (air is the most common example). It occurs when the sum of the drag force (Fd) and the buoyancy is equal to the downward force of gravity (FG) acting on the object.(Wikipedia)




What is the typical response of people to a government that abuses them if they are used to that government?

Answers

Answer:

when a government abuses its power its called tyranny and people might try to overthrow the government

which characteristic is related to kinetic energy but not potential energy.
A. an objects mass
B. an objects speed
C. an objects shape
D. an objects height

Answers

Answer:

Option (D)

Explanation:

There are screws all around you. Name five examples of screws that you see in everyday life? Think broadly!

Answers

Screw pump, Drill Machine, Bottle Caps, Faucets and Car Jack are the five examples of screws that we see in everyday life.

What is screw?

Screw is defined as a short, sharp-pointed metal pin with a raised helical thread present round it. It has a slotted head that is used to join things together by rotating it so that it pierces wood and is held tightly on its place. Screw is used in many materials in order to join two frames or bodies with each other. Without this screw, we can't imagine many materials to work together so screw has very high importance.

So we can conclude that Screw pump, Drill Machine, Bottle Caps, Faucets and Car Jack are the five examples of screws that we see in everyday life.

Learn more about screw here: https://brainly.com/question/9620666

#SPJ1

A baseball is thrown horizontally at a rate of 40m/s toward a home plate 18.4 m away. How far below the launch height is the ball when it reaches home plate

Answers

Answer:

1.03684m

Explanation:

Using the formula for calculating range expressed as;

R = U√2H/g where

R is the distance moves in horizontal direction = 18.4m

H is the height

U is the velocity of the baseball = 40m/s

g is the acceleration due to gravity = 9.8m/s²

Substitute the given parameters into the formula and calculate H as shown;

18.4 = 40√2H/9.8

18.4/40 = √2H/9.8

0.46 = √2H/9.8

square both sides;

(0.46)² = (√2H/9.8)²

0.2116 = 2H/9.8

2H = 9.8*0.2116

2H = 2.07368

H = 2.07368/2

H = 1.03684m

Hence the ball is 1.03684m below the launch height when it reached home plate.

What is the Net Force acting
on the box below?

Answers

The Net Force would be 2 N to the left.

21 N is being used to push the box to the right and 23 N is used to push it left. There is a stronger force pushing the box towards the left. The different in the two numbers would give you the net force acting on the box and the direction of the arrow with the greatest force will tell you the direction.
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