A child is playing in a park on a rotating cylinder of radius, r , is set in rotation at an angular speed of w. The Base of the cylinder is slowly moved away, leasing the child suspended against the wall in a vertical position.

What Is the minimum coefficient of friction between the child's clothing and wall is needed to prevent it from falling .

Answers

Answer 1

Answer:

[tex]\mathbf{\mu_s = \dfrac{g}{\omega^2r}}[/tex]

Explanation:

From the given information:

The force applied to the child should be at equilibrium in order to maintain him vertically hung on the wall.

Also, the frictional force acting on the child against gravitational pull is:

[tex]F_f = \mu _sN[/tex]

where,

the centripetal force [tex]F_c[/tex] acting outward on the child is equal to the normal force.

[tex]F_c= N[/tex]

SO,

[tex]F_f = \mu_s F_c[/tex]

Since the centripetal force [tex]F_c = \dfrac{mv^2}{r}[/tex]

Then:

[tex]F_f = \dfrac{ \mu_s \times mv^2}{r}[/tex]

Using Newton's law, the frictional force must be equal to the weight

[tex]F_f = W[/tex]

[tex]\dfrac{ \mu_s \times mv^2}{r} = mg[/tex]

[tex]\dfrac{ \mu_s v^2}{r} = g[/tex]

Recall that:

The angular speed [tex]\omega = \dfrac{v}{r}[/tex]

Therefore;

[tex]g = \mu_s \omega^2 r[/tex]

Making the coefficient of friction [tex]\mu_s[/tex] the subject of the formula:

[tex]\mathbf{\mu_s = \dfrac{g}{\omega^2r}}[/tex]


Related Questions

Why did vygotsky believe that children were more dependent learners

Answers

Answer:

Vygotsky's sociocultural theory asserts that learning is an essentially social process in which the support of parents, caregivers, peers and the wider society and culture plays a crucial role in the development of higher psychological functions.

Thus,  Vygotsky believed that children were more dependent learners

At a playground, Maryam a 3-year old girl and Zahirah a 6-year old girl are playing with the swings. Maryam is sitting while Zahirah is standing on the swing. Both of them were given the same push by their mother. Choose the CORRECT statements:

A. Maryam is swinging faster than Zahirah.
B. Zahirah is swinging faster than Maryam.
C. Both swings at the same pace.
D. Maryam is swinging faster since she is younger.
E. Zahirah is swing faster since she is older.​

Answers

Answer:

both swings at the same place

Explanation:

because there mother is giving same amount of force to both.

E. Is the answer. Explaination: I have a 3 year old and I would not push her as high or as fast as a six year old.

A cell phone weighs about 28x10" pounds. Which value of n is most reasonable?

Answers

Answer:

[tex] {3}^{n} [/tex]

Explanation:

https://www.doubtnut.com/question-answers/a-cellphone-weighs-about-28x10n-pounds-which-value-of-n-is-most-reasonable-a-3-b-2-c-0-d-1-433477

The magnification produced by spherical mirror is + 1/4. State the type of spherical mirror. State 3 characteristics of the image formed by the mirror: -​

Answers

Answer:

Convex mirror.

Explanation:

Image is real.

Image is inverted.

Image is magnified.

Choose the CORRECT statements. The superposition of two waves.

I. refers to the effects of waves at great distances.

Il. refers to how displacements of the two waves add together.

Ill. results into constructive interference and destructive interference

IV. results into minimum amplitude when crest meets trough.

V. results into destructive interference and the waves stop propagating.

A. I and II
B. II and III
C. I, II and III
D. II, III and IV
E. III, IV and V
F. II, III, IV and V​

Answers

Answer:

A

Explanation:

I guess not that much confidential!

A light hollow tube of 2.00 cm diameter and 1.0 m length is filled with tiny beads of different density. The resulting density distribution is linear, with the left end having a density of 1.6 g/cm^3, and the right end having a density of 6.3 g/cm^3. How far from the left end will be the center of mass? (give answer in cm).

Answers

Answer:

i think c

Explanation:

  cause

what do you understand by Force,acceleration and mass??​

Answers

It states that the rate of change of velocity of an object is directly proportional to the force applied and takes place in the direction of the force. It is summarized by the equation: Force (N) = mass (kg) × acceleration (m/s²). Thus, an object of constant mass accelerates in proportion to the force applied.

Answer:

Force is a push or pull that an object can exert on other objects. Acceleration is the rate of change of an object's speed and Mass is the amount of matter in an object and is expressed in kilograms.

Explanation:

It is summarized by the equation: Force (N) = mass (kg) × acceleration (m/s2).

Which one of the following pairs of units may not be added together, even after the appropriate unit conversions have been made?

a. grams and milligrams
b. miles and kilometers
c. kilometers and kilograms
d. centimeters and yards

Answers

Answer:

c. kilometers and kilograms

Explanation:

If two units represent different things, like for example grams and joules, where the first one is a unit for mass, and the second one a unit for energy we can not add them together. (

Let's analyze each one of the given options:

a: grams and milligrams

both grams and milligrams are units of mass, so after the appropriate unit conversions, we can add them.

b: miles and kilometers

Both are units for distance, after the appropriate unit conversions, we can add them.

c: kilometers and kilograms

"Kilometer" is a unit for distance, and "kilogram" a unit for mass, we can not add distance and mass, so these two can not be added together.

d: centimeters and yards

Both are units of distance,  after the appropriate unit conversions, we can add them.

Then the only one that we can not add together is option c:  kilometers and kilograms

Answer: The correct option is C (kilometers and kilograms).

Explanation:

UNITS is the quantity of a constant magnitude which is used to measure the magnitudes of other quantities of the same nature. The magnitude of a physical quantity is expressed as, Physical quantity = (numerical value) × (unit). There are six basic units of measurement which includes:

--> metre (m) - unit of length.

--> kilograms (kg) - unit of mass.

--> second (s) - unit of time.

--> ampere (A) - unit of electrical current.

--> kelvin (K) - unit of temperature and

--> mole (mol) - unit of the amount of substance.

Mass is the quantity of matter present in a body which is constant and is measured in KILOGRAMMES or GRAMS. While position is the distance and direction of an object from a particular reference point which is known to vary and is measured in METERS OR KILOMETRES.

From the above definition, KILOGRAMMES is used to measure the magnitude of a different quantity from KILOMETERS and therefore should not be added up after conversation.

It takes a minimum distance of 98.26 m to stop a car moving at 17.0 m/s by applying the brakes (without locking the wheels). Assume that the same frictional forces apply and find the minimum stopping distance when the car is moving at 25.0 m/s.

Answers

Answer:

x_f = 212.5m

Explanation:

t = (x_f-x_0)/(.5*(v_f-v_0))

t = (98.26m-0m)/(.5(0m/s-17m/s))

t = 11.56s

a = (v_f-v_0)/t

a = (0m/s-17m/s)/11.56s

a = -1.47m/s²

t = (v_f-v_0)/a

t = (0m/s-25m/s)/-1.47m/s²

t = 17s

x_f = x_0+(.5*(v_f-v_0))*t

x_f = 0m+(.5*(0m/s-25m/s))*17s

x_f = 212.5m

Azam had a metal pencil box and a wooden block on his table. When he touched them, the pencil box felt colder compared to the wooden block. When he measured their temperatures using a thermometer, he found that both the objects were at the same temperatures. What could be the reason for Azam to 'feel' that the pencil box was cooler? * (1 Point) Air around the pencil box was at a lower temperature which made the pencil box colder Wood produces heat and so, must have been at a higher temperature than the pencil box As metal is a better conductor of heat, it drew away heat from his hand faster than the wooden block. Metals are always at a lower temperature than other substances and so, there has been an error in measurement​

Answers

The third choice is the correct explanation. Don't make me type it all out on my phone.

A 10,000J battery is depleted in 2h. What power consumption is this? *

A) 5000W
B) 3W
C) 1.4W
D) 20000W

show your work please

Answers

Answer:

P = 1.4 W

Explanation:

Given that,

The work done or the energy of the battery, E = 10,000 J

Time, t = 2 h

We need to find the power consumption. Let it is P. Power is the rate of doing work. So,

[tex]P=\dfrac{W}{t}\\\\P=\dfrac{10,000}{2\times 3600}\\\\P=1.38\ W[/tex]

or

P = 1.4 W

So, the power of the battery is 1.4 W.

I provided the question above.

Answers

Answer:

Explanation:

since it is connected in parallel combination

use this formula

[tex]\frac{1}{R} = \frac{1}{R1} + \frac{1}{R2}[/tex]

[tex]\frac{1}{R} = \frac{1}{2} + \frac{1}{4}[/tex]

[tex]\frac{1}{R} = \frac{4+2}{2}[/tex]

[tex]\frac{1}{R} = \frac{6}{2}[/tex]

[tex]\frac{1}{R} = 3[/tex] ohm

therefore resistence = 3 ohm

then we should find power

P = VI

P = 12*3

P = 24 watt

now to find current use formula power = current * voltage

24 = current * 12

24/12 = current

2 = current

therefore current is 2 ampere (A).

to find potential difference (emf) use formula

V = IR

V = current * resistence

V = 2 * 3

V = 6 volt .

therefore potential difference is 6 volt.

what is the power of an electrical device which operates with a current of 12.4 A and a potential difference of 12 V​

Answers

148.8 Watts

Explanation:

P = VI

= (12 V)(12.4 A)

= 148.8 Watts

A 500 Kg block is attached with a rope of length 5m, having area 0.4× 10-4 m2. If final length is 6m, Calculate the Stress, Strain and Young's Modulus?

Answers

Answer:

stress = 1.225 x 10^8 N/m^2

strain = 1/5

Young's modulus = 6.125 x 10^8 N/m^2

Explanation:

mass, m = 500 kg

length, L = 5 m

Area, A = 0.4 x 10^-4 m^2

Final length, L' = 6 m

extension, x = L'-L= 6 - 5 = 1 m

Stress is defined as force per unit area.

[tex]stress =\frac{Force}{Area}\\\\stress =\frac{500\times 9.8}{0.4\times 10^{-4}}\\\\stress = 1.225\times 10^8 N/m^2[/tex]

Strain is defined as the ratio of change in length to the original length.

[tex]strain =\frac{x}{L}\\\\strain = \frac{1}{5}[/tex]

Young's modulus is given by the ratio of stress to the strain.

[tex]Y = \frac{1.225 \times 10^8}{\frac{1}{5}}\\\\Y = 6.125\times 10^8 N/m^2[/tex]

Larry sees a group of people weeping, with frowns on their faces and their eyes turned down. Larry their expressions to understand that they are feeling sadness.
Select one:
a. misinterprets
b. decodes
C. encodes X
d. recodes​

Answers

Answer:

c

Explanation:

no need explanation u can trust me

Effective sex education must engage _____ more than _____.

Answers

Answer:

pregnant

Explanation:

no interest at school

calculate the electric potential 3mm from a point charge of 16Nc​

Answers

[tex]4.8 \times 10^8[/tex] volts

Explanation:

The electric potential due to a point charge is given by

[tex]V= \dfrac{1}{4 \pi \varepsilon_{0}} \dfrac{Q}{r}[/tex]

where Q = charge = [tex]16 \times 10^{-9}[/tex] C

r = distance from a point = [tex]3 \times 10^{-3}[/tex] m

[tex]\varepsilon_{0}[/tex] = permitivity of free space

= 8.85×10^-12 C^2/N-m^2

Plugging in the numbers,

[tex]V = \dfrac{1}{4 \pi (8.85 \times 10^{-12})} \dfrac{16 \times 10{-9}}{3 \times 10^{-3}}[/tex]

[tex]= 4.8 \times 10^8[/tex] volts

What is the magnitude of your total displacement if you have traveled due west with a speed of 23 m/s for 135 s , then due south at 12 m/s for 295 s ?

Answers

Answer:

4708.78 m

Explanation:

Applying,

d = vt................ Equation 1

Where d = displacement, v = velocity, t = time

dispalcement due west

Given: v = 23 m/s, t = 135 s

Therefore,

d = 23(135)

d = 3105 m due west.

For south

Given: v = 12 m/s, t = 295 s

Therefore,

d = 12(295)

d = 3540 m

Note: The entire journey forms a right angle triangle

Total displacement = √(3105²+3540²)

Total displacement = √(9641025+12531600)

Total displacement = √(22172625)

Total displacement = 4708.78 m

The basal metabolic rate is the rate at which energy is produced in the body when a person is at rest. A 157 lb (71.0 kg ) person of height 5.91 ft(1.80 m ) would have a body surface area of approximately 1.90 m2 .

Reqiuired:
a. What is the net amount of heat this person could radiate per second into a room at 19.0 ∘C (about 66.2∘F) if his skin's surface temperature is 31.0 ∘C? (At such temperatures, nearly all the heat is infrared radiation, for which the body's emissivity is 1.00, regardless of the amount of pigment.)

b. Normally, 80.0 % of the energy produced by metabolism goes into heat, while the rest goes into things like pumping blood and repairing cells. Also normally, a person at rest can get rid of this excess heat just through radiation. Use your answer to part A to find this person's basal metabolic rate(BMR).

Answers

Answer:

A. Net amount of heat radiated = 109.2W

B. Person's basal energy = 136.5

Explanation:

Part A:

Area of person, A = 1.90 m^2

Temperature of person , T = 31 C

T = 304 K

Temperature of surroundings , To = 19 C

To = 282 K

Now, net amount of heat radiated = e*A*sigma *(T^4 - To^4)

Net amount of heat radiated = 1 * 1.8 * 5.6703 *10^-8 *(304^4 - 294^4)

Net amount of heat radiated = 109.2 W

The net amount of heat radiated is 109.2 W

Part B:

Person's basal energy = net amount of heat radiated /(0.80)

Person's basal energy = 109.2/0.80

Person's basal energy = 136.5 W

Person's basal energy is 136.5 W

Topic: Physical and Chemical Changes
Subject: Science
Grade: 5th

Question: Why am I growing?

(Please give this answer related to Physical and Chemical Changes.

Answers

Answer: Why am I growing is a chemical change.

Explanation:

Changes that can be reversed and does not affect the composition of a substance are called physical changes.

For example, change in state of a substance like ice converting into water is a physical change.

Changes that cannot be reversed and affect the chemical composition of a substance are called chemical changes.

For example, a child growing is an irreversible change and hence, it is a chemical change.

Thus, we can conclude that why am I growing is a chemical change.

Which characteristics describe a point charge

Answers

Answer:

Explanation:

It takes up no space and acts uniformly on its surroundings.

Given a point charge, or a particle of infinitesimal size, that contains a certain charge, electric field lines emanate from equally in all radial directions. If the point charge is positive, field lines point away from it; if the charge is negative, field lines point toward it.

The average speed of molecules of a 0.1 mole nitrogen gas in a container is 5103
m/s.
a/ Determine the total translational kinetic energy of the gas.
b/ Compute the energy as heat providing to the gas so that the average speed of its molecules increases to
double.

Answers

Answer: (a) The total translational kinetic energy of the gas is [tex]35 \times 10^{7} J[/tex].

(b) The energy as heat providing to the gas so that the average speed of its molecules increases to double is [tex]8.7 \times 10^{7} J[/tex].

Explanation:

Given: Average speed of molecules = [tex]5 \times 10^{3}[/tex] m/s

Moles = 0.1 mol

(a) As the give gas is nitrogen so its mass is 28 g/mol.

Formula to calculate translational kinetic energy is as follows.

Total translational K.E = [tex]\frac{1}{2}mv^{2}[/tex]

where,

m = mass

v = velocity

Substitute the values into above formula as follows.

[tex]Translational K.E = \frac{1}{2}mv^{2}\\= \frac{1}{2} \times 28 \times (5 \times 10^{3})^{2}\\= 35 \times 10^{7} J[/tex]

(b) As the energy is directly proportional to the square of velocity. So, when average speed of molecules increases to double then relation between energy and velocity will be as follows.

[tex]E \propto (2v)^{2}\\or, E \propto 4v^{2}\\v^{2} \propto \frac{E}{4}[/tex]

This means that velocity gets one-fourth times the energy of its molecules.

Therefore, energy will be calculated as follows.

[tex]Energy = \frac{35 \times 10^{7}}{4}\\= 8.7 \times 10^{7} J[/tex]

Therefore, we can conclude that

(a) The total translational kinetic energy of the gas is [tex]35 \times 10^{7} J[/tex].

(b) The energy as heat providing to the gas so that the average speed of its molecules increases to double is [tex]8.7 \times 10^{7} J[/tex].

When you irradiate a metal with light of wavelength 433 nm in an investigation of the photoelectric effect, you discover that a potential difference of 1.43 V is needed to reduce the current to zero. What is the energy of a photon of this light in electron volts? energy of a photon: Find the work function of the irradiated metal in electron volts. work function:

Answers

Answer:

The right solution is:

(a) 2.87 eV

(b) 1.4375 eV

Explanation:

Given:

Wavelength,

= 433 nm

Potential difference,

= 1.43 V

Now,

(a)

The energy of photon will be:

E = [tex]\frac{6.626\times 10^{-34}\times 3\times 10^8}{433\times 10^{-9}}[/tex]

  = [tex]4.59\times 10^{-19} \ J[/tex]

or,

  = [tex]\frac{4.59\times 10^{-19}}{1.6\times 10^{-19}}[/tex]

  = [tex]2.87 \ eV[/tex]

(b)

As we know,

⇒ [tex]Vq=\frac{hc}{\lambda}-\Phi_0[/tex]

By substituting the values, we get

⇒ [tex]1.43\times 1.6\times 10^{19}=\frac{6.626\times 10^{-34}\times 3\times 10^8}{433\times 10^{-9}}-\Phi_0[/tex]

⇒                       [tex]\Phi_0=2.3\times 10^{-19} \ J[/tex]

or,

⇒                            [tex]=\frac{2.3\times 10^{-19}}{1.6\times 10^{-19}}[/tex]

⇒                            [tex]=1.4375 \ eV[/tex]

When you are standing without moving, you exert a force on the ground. Why doesn't Earth slowly start accelerating downwards? ​

Answers

Explanation:

You would think it should. But remember the Force is also determined by mass. The mass of the earth markes our mass like the smallest part of a mosquito leg. The earth will go on it its merry way without cosidering us at all.

How many molecules do we have for Na2Co3?

Answers

105.9888 g/mol is the mass as far as i know, Don't know the amount of molecules tho.

mark me brainliestt :))

What must a plant need to produce 4 molecules of sugar?
What must a plant need to produce 4 molecules of sugar?

Answers

Answer:

To produce a single sugar molecule a plant must use a molecule of water (H2O) and carbon dioxide (CO2) and sunlight. To get 4 molecules, you simple use 4 molecules of water and 4 molecules of carbon dioxide

Carbon dioxide and water to produce glucose.

The equation of damped oscillations is given in the form x=0.05e^-0.25sin½πt (m). Find the velocity of an oscillating point at the moments of time: 0, T, 2T, 3T and 4T.​

Answers

Explanation:

Finding the (maximum) respective prime powers would yield the answer. Also we need not ... Is perfectly divisible by 720^n? ... So we can say that for any positive value of n it not divisible.

A person is driving a car down a straight road. The instantaneous acceleration is constant and in the direction of the car's motion. 1) The speed of the car is increasing. decreasing. constant. increasing but will eventually decrease. decreasing but will eventually increase.

Answers

Answer:Increasing

Explanation:

Given

Car is driven on the straight road with  instantaneous acceleration in the direction of car's motion.

If instanateneous acceleration is constant then speed of car is increasing at a constant pace. As there are no turns on the road, therefore speed of car is increasing.

The speed of the car is "decreasing". A further description is provided in the below paragraph.

It's because the individual would be in a straightforward fashion. This same acceleration inclination comes contrary to the movement of the automobile. It indicates that it exerts pressure against the movement of the automobile. So, when it moves forward, the speed of the automobile decreases.

Thus the above answer is correct.

Learn more about the speed here:

https://brainly.com/question/5053192

How fast much an 816kg Volkswagen travel to have the same momentum as (a) a 2650kg Cadillac going 16.0 km/h? (b) a 9080-kg truck also going 16.0 km/hr?

Answers

Explanation:

(a) The momentum of a 2650kg Cadillac going 16.0 km/h or 4.44 m/s is :

p = 2650 kg × 4.44 m/s

= 11766 kg-m/s

(b) The momentum of a 9080-kg truck also going 16.0 km/hr or 4.44 m/s is :

p =mv

= 9080-kg × 4.44 m/s

= 40315.2 kg-m/s

If p = 11766 kg-m/s, velocity is :

[tex]v=\dfrac{p}{m}\\\\v=\dfrac{11766 }{816}\\\\=14.41\ m/s[/tex]

If p = 40315.2 kg-m/s, velcocity is :

[tex]v=\dfrac{p}{m}\\\\v=\dfrac{40315.2}{816}\\\\=49.40\ m/s[/tex]

Hence, this is the required solution.

A charged particle accelerates as it moves from location A to location B. If VA = 260 V and VB = 210 V, what is the sign of the charged particle? positive negative (b) A electron loses electric potential energy as it moves from point 1 to point 2. Which of the following is true regarding the electric potential at points 1 and 2?

Answers

Answer:

(a) Positive

(b) Electron gains energy as it moves from A to B.

Explanation:

VA = 260 V

VB = 210 V

An electron moves from lower to higher potential which is negatively charged and a positively charged particle moves  from higher to lower potential, so the charge particle is positive in nature.

(a) Positive

(b) No, electron gains energy as it moves from A to B.

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