A force of 525 N is applied to a stationary couch of mass 100 kg, where μs = 0.40 and μk = 0.32. What is the acceleration of the couch

Answers

Answer 1

Answer:

Approximately [tex]2.11\; \rm m\cdot s^{-2}[/tex] (assuming that [tex]g = 9.81\; \rm m\cdot s^{-2}[/tex], the floor is horizontal, and that the external force is applied horizontally.)

Explanation:

The mass of this couch is [tex]m = 100\; \rm kg[/tex]. Calculate the weight of the couch:

[tex]W = m \cdot g = 100\; \rm kg \times 9.81\; \rm m \cdot s^{-2} = 981\; \rm N[/tex].

Assume that the floor is horizontal. The magnitude of the normal force between the floor and the couch would be equal to the size of the weight of this couch.

Therefore, the normal force between the floor and the couch would be [tex]N = 981\; \rm N[/tex].

The first step is to find out whether the couch would move at all.

The question has provided two constants of friction: [tex]\mu_\text{s}[/tex] (coefficient of static friction) and [tex]\mu_\text{k}[/tex] (coefficient of kinetic friction.)

The coefficient of static friction applies when the couch is stationary relative to the floor: [tex]f_\text{s} = \mu_\text{s} \cdot N = 0.40\times 981\; \rm N \approx 313.92\; \rm N[/tex]. In other words, while the couch isn't moving, the maximum (horizontal) external force that friction could resist would be [tex]f_\text{s} = 313.92\; \rm N[/tex].

Assume that the external force in this question is horizontal. The size of the external force ([tex]525\; \rm N[/tex]) exceeds that of [tex]f_\text{s}[/tex]. Hence, the couch would start to move after the [tex]525\; \rm N\![/tex] external force is applied.

Once the couch starts to move, the coefficient of static friction would no longer be relevant. Instead, the coefficient of kinetic friction ([tex]\mu_\text{k}[/tex]) would give size of the friction between the floor and the couch. The size of that friction would be [tex]f_\text{k} = \mu_\text{k} \cdot N = 0.32\times 981\; \rm N \approx 313.92\; \rm N[/tex].

This friction would counteract the horizontal external force on the couch. Hence, the net force on the couch in the horizontal direction would be:

[tex]\begin{aligned}& F(\text{external}) - f_\text{k} \\ &\approx 525\; \rm N - 313.92\; \rm N \\ &\approx 211.08\; \rm N \end{aligned}[/tex].

Apply Newton's Second Law of motion to find the acceleration of the couch:

[tex]\begin{aligned}a &= \frac{(\text{Net Force})}{m} \\ & \approx \frac{211.08\; \rm N}{100\; \rm kg} \approx 2.11\; \rm m \cdot s^{-2}\end{aligned}[/tex].


Related Questions

Is inertia a force (will give brainleist for first answer)

Answers

Answer:

Yes.

Explanation:

Answer:

I do believe it is. (more characters for character limit)

I need help on how to start my essay on the 3 laws of motion ​

Answers

Answer:

for the first paragraph introduce the definition. for the second paragraph write about the first law, for the third paragraph write about the 2nd for the fourth paragraph write about the 3rd law. for the last paragraph do a brief summary of what you wrote and a conclusion about the laws.

i hope this helps a bit

Answer:

You can start off with the first law of motion (newtons first law), talk about what it is or what it does, give examples.

Find the moment of 300N force about B​

Answers

Answer:

300

Explanation Hope I'm not wrong.

5. Atoms may emit light energy when
O A electrons move to a lower energy level
OB protons move to a lower energy level
C electrons move to a higher energy level
OD protons move to a higher energy level

Answers

I don’t know immma gonna guess C

A spring with a spring constant of 80 N/m is at rest and is attached to a block. If the block (attached to the end of the spring) is moved from 0.6 m to 0.4 m and then let go, what will be the spring force exerted on the block? Rightward is positive.

Answers

Answer:

–I6 N

Explanation:

From the question given above, the following data were obtained:

Spring constant (K) = 80 N/m

Initial position = 0.6 m

Final position = 0.4 m

Force (F) =?

Next, we shall determine the compression of the spring. This can be obtained as follow:

Initial position = 0.6 m

Final position = 0.4 m

Compression (x) =?

Compression = Final position – Initial position

Compression (x) = 0.4 – 0.6

Compression (x) = – 0.2 m

Finally, we shall determine the force. This can be obtained as follow:

Spring constant (K) = 80 N/m

Compression (x) = – 0.2 m

Force (F) =?

F = Kx

F = 80 × –0.2

F = –I6 N


A 1.3-kg book rests on a table. A downward force of 15 N is exerted on the top of the book by a hand pushing down on the
book
What is the net force on the book?

Answers

Answer:

The net force will be:

[tex] F_{net} = 142.53\: N[/tex]

Explanation:

The net force is given by:

[tex] F_{net} = W_{b}+F[/tex]

[tex] F_{net} = m_{b}g+15[/tex]

[tex] F_{net} = 142.53\: N[/tex]

I hope it helps you!

                 

all of the following elements will form ions by losing electrons except

aluminum
iron
sodium
oxygen

Answers

All form ions by losing electrons except oxygen.
Ok so iron aluminum and sodium never lose electrons because of the state of that “material” except oxygen because oxygen turns into carbon dioxide when exhaled so it’s oxygen

.) What will be the unit of time in that system in
which unit of length is m, unit of mass is kg and
unit of force is kg wt?
(a) [1/V(9.8) second (b) (9.8)2 second
(c) V(9.8) second
(d) 9.8 second​

Answers

Answer:

yes it is a great question. Thank you .

For Water, determine the missing property and determine the state. 1) P = 300 kPA, v = 0.5 m3/kg. Find T 2) P = 28 MPa, T = 200oC. Find v 3) P = 1 MPa, T = 405 oC. Find v 4) T = 100oC, x = 60%. Find v

Answers

Answer:

1)  LIQUID, 2) LIQUID, 3) GASEOU, 4)  GASEOUS,    v = 0.76 m³ / kg

Explanation:

In this exercise it is asked to determine the state of the water, that is, if it is solid, liquid or gas. For this we must use a phase diagram of water which is a graph of Pressure versus Temperature. Let's describe the water diagram

* Below 0ºC and normal pressure the water is in a solid state

* Below this temperature and at low pressure it becomes a gaseous state

* Above 0.01ºC and normal pressure is in liquid state

* Above 0.01ºC and low pressure is in a gaseous state

there are two important points

* The triple point at t + 0.01ºC and P = 0.006 atm where the three states coexist

* The critical point T = 374ºC and P = 218 atm where water decomposes into hydrogen and oxygen

Specific volume is related to density

        v = 1 / ρ

        ρ = 1 / v

the density of water is approximately 1000 kg / m³ in the liquid state at t = 4ºC and decreases with increasing pressure 960 kg / m³ at T = 100ºC (but without changing to the gaseous state

With the above considerations we can answer the questions

 

1) P = 300 kPa = 3 105 Pa

   v = 0.5 m³ / kg

atmospheric pressure is Patm = 1.01 105 Pa

     P = 3 105 Pa (1 atm / 1.01 105 Pa) = 3 atm

From the phase diagram described, the water can be in two liquid or gaseous states, depending on the temperature, as indicated by the speed of the same state, the water must be LIQUID

the parameter v that you indicate is the

with the other parameter we can calculate the density

     rho = 1 / 0.5

     rho = 2.0 kg / m³

in a thermodynamic system the three basic properties are: pressure, volume and temperature,

we can calculate the body temperature

The body must be at a temperature between 0 <T <100ºC

2) P = 28 Mpa = 28 106 Pa

   P = 28 106 Mpa (1 atm / 1.01 105 Pa) = 280 atm

   T = 200ºC

When examining the diagram it can be seen that the water is in the range of the LIQUID state

               

3) P = 1MPa

   P = 1 106 Pa (1atm / 1.01 105Pa) = 10 atm

   T = 405ºC

In this case, the only accessible state is the GASEOUS

4) T = 100ºC

     x = 60%

   

Examining the phase diagram at this temperature depending on the pressure the possible states are Vapor and liquid, for pressures below 1 atm the state is GASEOUS

for the gaseous state we can use the ideal gas equation

            PV = nR T

let us perform the calculation for a mole of gas n = 1, the ideal gas constant is R = 8,206 10-2 atm / mol K

          V = nRT / p

           V = 1 8,206 10-2 100/1

           V = 8,206 m³

          v = V / m

The mass of the water is 18 Kg / mol, which indicates that 60% is in the gaseous state, so the mass in this state is

         m = 0.60 18

         m = 10.8 kg

          v = 8.206 / 10.8

          v = 0.76 m³ / kg

State the four factors the magnetic force moving in magnetic field depends on​

Answers

Explanation:

It depends upon the magnitude of the charge, the velocity of the particle and its strength .

Calculate the momentum of a 6 kg ball thrown at 20 m/s by a 3 newton
force. *

Answers

Answer:

momentum = mass × velocity = 6× 20 =120 kg.ms-1

Explanation:

not sure if this is right

a glass beaker has a mass of 50g. a liquid of density 1.8g/cm3 is poured into the beaker until it reaches the 200cm3 mark. calculate the total mass of the beaker and its contents​

Answers

Answer:

total mass = 410 g

Explanation:

density = 1.8 g/cm³

volume = 200 cm³

                              density = mass / volume

                              mass (of liquid) = density   x    volume

                                        = 1.8 x 200

                                        = 360 g

          total mass (beaker + liquid) = 50 + 360 = 410 g     [Ans]

Hope this helps!

The starter motor of a car engine draws an electric current of 110 A from the battery. The copper wire to the motor is 4.20 mm in diameter and 1.73 m long. The starter motor runs for 0.95 s before the car engine starts up.

How much electric charge passes through the starter motor?
________
What is the current density in the wire?
_________
How far does an electron travel along the wire while the starter motor is on? (The density of conduction electrons in copper is n = 8.50×1028 1/m3.)
________

Answers

Answer:

a. 104.5 C b. 7.94 × 10⁶ A/m² c. 5.83 × 10⁻⁴ m/s

Explanation:

a. How much electric charge passes through the starter motor?

Using Q = It where Q = electric charge passing through the starter motor, I = current = 110 A and t = time = 0.95 s

So, Q = It = 110 A × 0.95 s = 104.5 C

b. What is the current density in the wire?

The current density, J = I/A where I = current = 110 A and A = cross-sectional area = πd²/4 where d = diameter of copper wire = 4.20 mm = 4.20 × 10⁻³ m

So, J = I/A

= I/πd²/4

= 4I/πd²

= 4 × 110 A/π(4.20 × 10⁻³ m)²

= 440 A/55.42 × 10⁻⁶ m²

= 7.94 × 10⁶ A/m²

c. How far does an electron travel along the wire while the starter motor is on? (The density of conduction electrons in copper is n = 8.50×1028 1/m3.)

To find how far the electron travels, we need to find the electron drift velocity from

J = nev where J = current density = 7.94 × 10⁶ A/m², n = electron density = 8.50 × 10²⁸ m⁻³, e = electron charge = 1.602 × 10⁻¹⁹ C, v = drift velocity of electrons and A = cross-sectional area of wire = πd²/4 where d = diameter of copper wire = 4.20 mm = 4.20 × 10⁻³ m

So, v = J/ne

Substituting the values of the variables into the equation, we have

v = 7.94 × 10⁶ A/m² ÷ (8.50 × 10²⁸ m⁻³ × 1.602 × 10⁻¹⁹ C)

v = 7.94 × 10⁶ A/m² ÷ (13.617 × 10⁹ Cm⁻³)

v = 0.583 × 10⁻³ m/s

v = 5.83 × 10⁻⁴ m/s

Consider the following three concentric systems two thick shells and a solid sphere all conductors The radii in the increasing order are a b c d and e The small sphere is given an excess charge of 3 C and the smaller shell is given an excess charge of 7 C The larger shell is electrically neutral The system quickly comes to electrostatic equilibrium state a Note that there are 5 conducting surfaces What are the electric charges values and signs on the each of them Are these charges distributed uniformly

Answers

Answer:

Explanation:

From the given question, the small sphere was provided with an excess charge of +3 C, while the smaller shell was given an excess of -7 C, it should be -7 C and not 7 C.

So, in light of that, to determine the electric charges values & signs on each of them, we have:

on a = +3 C

on b = -7 C

on c = -7 C

on d = +3 C

on e = -7 C

What is the subject Physic about

Answers

Explanation:

Physics is the branch of science concerned with the study of the properties and interactions of space, time, matter and energy.

Answer:

if you are very excited to know why ball doesn't go up

0.55 kg mouse moving E at 60m s or a 900 kg elephant moving E at 0.03m Which has the most momentum?


Answers

Answer:

the mouse

Explanation:

the mouse has a momentum of 33 m kg/s

while the elephant has a momentum of 27 m kg/s

i found this out using p=mv

HELP ASAP PLS ILL GIVE YOU BRAINLIEST
Select the correct answer.

Which civilization was the first to record a solar eclipse?

A.

Greek

B.

Chinese

C.

Aztec

D.

Polynesian

Answers

Answer:

chinese

Explanation:

Answer:

B chinese

hope this helps you

Olive and her friend Wellington are playing down by Captain Don's docks when they find an old chain. The old chain has only three links. By measuring with an old fish scale which is a permanent feature of the dock area, they determine that the total mass of the chain is 3.12 kg (the scale reads in newtons, but Olive knows how to calculate the mass of the chain from its weight). While playing with the scale and the chain (the chain is hanging vertically from the end of the scale, and Olive is holding on to the top of the scale with both hands, either moving the entire system upwards or downwards), Olive notices that if she is accelerating the chain either upwards or downwards, the scale no longer accurately reads the weight of the chain. When the Scale Reading is Larger than the Weight of the Chain At one point in their experiments with the chain and the scale, Wellington observes that the scale reads 47.00 N . Part A When the scale reads 47.00 N , what is the tension in the chain at the point where the lowest two links connect

Answers

Answer:

T₁ = 15.66 N

Explanation:

From the given information:

Using the free body system in the chain.

T - mg = ma

47 - 3.12 × 9.8 = 3.12a

47 - 30.576  = 3.12a

16.424 = 3.12a

a = 16.424/3.12

a = 5.26 m/s²

Now, by the free body diagram of the lowest link; the tension (T₁ ) in the chain is:

T₁ - (3.12/3)  × 9.8 = (3.12/3) × 5.26

T₁ - 1.04 × 9.8 = 1.04  × 5.26

T₁ - 10.192 = 5.4704

T₁ = 5.4704 + 10.192

T₁ = 15.6624

T₁ = 15.66 N

can a body have an east velocity while expressing westward acceleration​

Answers

Yes it can, an object can be moving a certain direction while the ACCELERATION is in the opposite direction.

Lets say your riding a bike... if your squeezing your handle bar breaks, the acceleration of the bike would be pushing in the opposite direction of the direction the bike is moving.

Hope this helped!

can someone please answer this for me ❤️

Answers

Answer:

I don't understand the question

Explanation:

sorry I cant help because I am just a first former

g Consider a (12.5 A) cm long metal bar moving horizontally across a vertical magnetic field at a speed of (2.40 B) m/s. The magnetic field strength is 2.45 T. If the ends of the bar are connected to a (1.20 C) ohm resistor, find the power dissipated in the resistor while the bar is moving. Calculate the answer in watts (W) and rounded to three significant figures.

Answers

Answer:

Explanation:

emf   due to movement of a rod of length L in a perpendicular to magnetic field B with velocity v is given as

emf = BLv

Putting in the given values ,

E = 2.45 x 12.5 x 10⁻² x 2.4

= .735 V

This emf produces current in resistance . Power consumed by resistance

V² / R where R is resistance , V is emf induced .

Power = .735² / 1.2

= .45 W .

How far can you get away from your little
brother with the squirt gun filled with
paint if you can travel at 3 m/s and you
have 15s before he sees you?
Know
Find
Equation
Solve

Answers

spray him in the eyes and you have until he washes it put

If the force of static friction on a crate is 67 N and the weight of the create is 289 N, what is the coefficient of static friction?

a
19363
b
0.23
c
4.31
d
222

Answers

Answer:

B) μ = 0.23

Explanation:

The coefficient of friction is equal to μ = F / N where μ (mu) is the coefficient of friction, F is the friction force, and N is the normal force (the force of an object being applied onto the earth by gravity).

F, the friction force, is given as 67 N

Since the weight of the crate is 289 N, that means the normal force is 289 N.

This means that the coefficient of friction is  μ = F / N = 67 N / 289 N = 0.23183391 = 0.23

Therefore, B is the correct answer

What is the difference between inertia and momentum?​

Answers

Inertia is the resistance offered by a body to the motion whereas momentum is the tendency of a body to continue moving.

Question 7 of 10
What is cos(22")?
O A. 0.93
B. 0.22
C. 0.37
O D. 0.40

Answers

Answer:

A. 0.93

Explanation:

As the mass of object increased it is density increased

Answers

Answer:

True.

Explanation:

The density of an object is given by its mass divided by its volume. It can be given as follows :

[tex]d=\dfrac{m}{V}[/tex]

It can be seen that the density of an object is directly proportional to its mass. It means if the mass of an object increase, its density will also increase. Hence, the given statement is true.

URGENT HELP !! The coefficients of static and kinetic frictions for plastic on wood are 0.53 and 0.40, respectively. How much horizontal force would you need to apply to a 34.4 kg object to start it moving from rest?

Answers

Answer:

43.83 N

Explanation:

Given that,

The mass of an object, m = 34.4 kg

The coefficients of static and kinetic frictions for plastic on wood are 0.53 and 0.40, respectively.

The force of static friction,

[tex]F_s=\mu_smg\\\\F_s=0.53\times 34.4\times 9.8\\\\F_s=178.67\ N[/tex]

The force of kinetic friction,

[tex]F_k=\mu_kmg\\\\F_k=0.40\times 34.4\times 9.8\\\\F_k=134.84\ N[/tex]

Net force acting on the object is :

F = 178.67-134.84

= 43.83  N

Hence, this is the required solution.

Which of the following best defines effective listening?

Answers

Answer:

The following seems to be the summary including its given phrase.

Explanation:

The willingness to adequately consider the knowledge another speaker provides as well as show interest throughout the subject covered constitutes skills of effective listening. Truly wonderful hearing skills require an individual just to listen fully to the information such that a relevant reading of the information or a piece of evidence can be done.

Which of the following proves that electric fields can convert potential energy into kinetic energy?

a) Two electric charges produce fields. When those fields interact, the charges either attract or repel from each other

b) An electric charge is held stationary in an electric field

c)Two charges are affected by gravity, causing them to attract towards each other

d)Multiple charges are arranged in such a way to ensure that there are no net forces acting upon each other

i think its a or c?....

Answers

Answer: a

Explanation:

Someone please help me answer these questions

1. What is the walking
Aquarium to the Key West Cemetery?
A
2. What is the displacement (in miles, with direction) from the
Aquarium to the Cemetery?
3. If you were walking 4 miles per hour how long would it take you
to get from the Aquarium to the Cemetery? (Speed= D/T)
4. If you were to take off in a helicopter from Ft. Zachary State
Historic Site and fly directly to the US Naval Air Station at a constant
speed of 20 miles per hour how long would it take?

Answers

Answer:

house away far from

Explanation:

I dont know tbh

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