A 2kg mass is suspended on a rope that wraps around a frictionless pulley attached to the ceiling with a mass of 0.01kg and a radius of 0.25 m. The other end of the rope is attached to a massless suspended platform, upon which 0.5 kg weights may be placed. While the system is initially in equilibrium, the rope is later cut above the weight, and the platform subsequently raised by pulling the rope. What is the torque on the pulley when the system is motionless?

Answers

Answer 1

Answer:

The torque on the pulley, when the system is motionless is approximately 9.81 N·m

Explanation:

The given parameters are;

The mass of the object = 2 kg

The friction between the rope and the pulley = 0

The mass of the rope, [tex]m_r[/tex] = 0.5 kg

The mass of the pulley, [tex]m_p[/tex] = 0.01 kg

The radius of the pulley, r = 0.25 m

The torque on the pulley, τ = I·α = F × D

The torque on the pulley, when the system is motionless, τ = F × D

Where;

F = The force acting on the pulley rope = The weight of the mass ≈ 2 kg × 9.81 m/s² = 19.62 N

D = The diameter of the pulley = 2×r = 2 × 0.25 m = 0.5 m

Therefore;

τ = 19.62 N × 0.5 m = 9.81 N·m

The torque on the pulley, when the system is motionless, τ ≈ 9.81 N·m.


Related Questions

a car accelerates along a straight road from rest to 75km/h in 5.0s. What is the magnitude of its average acceleration? show up solutions​

Answers

Answer:

4.186 m/s^2

Explanation:

First, convert km/hr to m/s:

(75 km/hr)(1000m/1km)(1hr/60min)(1min/60s) = 20.83 m/s

Then, divide 20.93 m/s by 5.0s

(20.93 m/s) / (5.0s) = 4.186 m/s^2

An oven consumes 425 kWh of energy in order to provide 386 kWh of useful energy. What is its percent efficiency?

Answers

Answer:

90.8%

Explanation:

efficiency = output / input

Simply just put in what we know.

386/425 = 0.908 (Rounded too 3 s.f)

And if you want this in percentage, you simply x100 your answer. Hence the answer being 90.8%

What can you drop of liquid Mercury be described as?

Answers

A drop of iquid mercury is D. a pure substance and an element. This is because mercury is an element which exists as liquid in the normal or standard conditions. It is pure because it is composed only of one kind of substance.

Which type radiation can be observed well from Earth's surface?

Answers

Answer:

Eletromagnetic radiation which is also known as visible light.

Explanation:

Answer:

Gamma Ray's as they have the shortest wavelength and highest frequency in the electromagnetic Spectrum.

Which nucleus completes the following equation?
A. 299 Np
B. 20Pa
C. 2 Pa
D. - Np

Answers

Answer:

Option D. ²³⁹₉₃Np

Explanation:

Let the unknown be ʸₓA.

Thus, the equation becomes:

²³⁹₉₂U —> ⁰₋₁e + ʸₓA

Next, we shall determine the x, y and A. This can be obtained as follow:

92 = –1 + x

Collect like terms

92 + 1 = x

93 = x

x = 93

239 = 0 + y

239 = y

y = 239

ʸₓA => ²³⁹₉₃A => ²³⁹₉₃Np

Thus, the complete equation is:

²³⁹₉₂U —> ⁰₋₁e + ²³⁹₉₃Np

An object moves 100m distance in 5 second.find its speed?​

Answers

[tex]speed = \frac{distance}{time} \\ = 100 \div 5 \\ = 20m \: per \: second[/tex]

Final Answer: 20m/sThe object moves at the speed of 20m per sec.

☆彡Hanna

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A dart with a mass of 0.5kg is thrown at 15m/s and sticks into a 1kg apple hanging
on a string. What is the total momentum of the objects before the collision?

Answers

Answer:

Before the collision:

m v1 = .5 kg * 15 m/s = 7.5 kg-m/s

Incidentally, after the collision

(M + m) v2 = 7.5

v2 = 7.5 / (1 + .5) = 5 m/s

calcula el peso de una mesaven la tierra cuya masa es de 60 kg

Answers

Answer:

W = 588 N

Explanation:

The given question is ,"calculate the weight of a table on the earth whose mass is 60 kg"

The mass of the table, m = 60 kg

We need to find the weight of a table on the earth.

The weight of an object is given by :

W = mg

Where

g is acceleration due to gravity

W = 60 kg × 9.8 m/s²

W = 588 N

Hence, the weight of the table is 588 N.

Johnny pushes on a wall with a force of 75N for one hour. Is there work being done? (Explain in simple words please lol . But fr tho SOMEBODY HELPP I CANT FAIL THIS)

Answers

Answer:

No, work isn't being done by Johnny.

Explanation:

Work can be defined as the energy transferred to a physical object by exertion of a force on the object to cause a displacement of the object. Thus, work is typically done when a person or simple machine move an object over a distance through the application of a force.

Mathematically, work done is given by the formula;

Work done = force * distance

[tex] W = F * d[/tex]

Where,

W is the work done

F represents the force acting on a body.

d represents the distance covered by the body.

In this scenario, Johnny's push didn't cause a displacement of the wall and as such no work is done.

Which statement describes how objects can be affected by a noncontact
force between then?
O A. An electric force between two objects will always cause them to
attract each other.
B. A gravitational force between Two objects will always cause then
to repel each other.
C. A magnetic force between two objects will always cause them to
attract each other.
D. An electric force between two objects may cause them to either
attract or repel each other.

Answers

Answer: D

Explanation:

Sample Response: Yes, the law of conservation of momentum is satisfied. The total momentum before the collision is 1.5 kg • m/s, and the total momentum after the collision is 1.5 kg • m/s. The momentum stays the same after the collision. What did you include in your response? Check all that apply. The law of conservation of momentum is satisfied. The momentum before the collision is 1.5 kg • . The momentum after the collision is 1.5 kg • . The momentum is the same after the collision as it was before the collision.

Answers

Answer:

All options presented were applied to the answer.

Explanation:

The sample response presented in the question above, refers to a closed system where two molecules after colliding satisfy the conservation of momentum law, which can also be called the conservation law of linear momentum. This law states that in a closed system the initial state of the components must be maintained and remain the same until the final state, that is, the two molecules maintain their ideal momentum before and after the collision. This means that if they had 1.5 kg • m/s before the collision, this value must be maintained after the collision. All these concepts are presented in the sample response.

Answer:

What did you include in your response? Check all that apply. The law of conservation of momentum is satisfied. The momentum before the collision is 1.5 kg • m/s. The momentum after the collision is 1.5 kg • m/s. The momentum before and after the collision is the same.

Explanation:

The sample response presented in the question above, refers to a closed system where two molecules after colliding satisfy the conservation of momentum law, which can also be called the conservation law of linear momentum. This law states that in a closed system the initial state of the components must be maintained and remain the same until the final state, that is, the two molecules maintain their ideal momentum before and after the collision. This means that if they had 1.5 kg • m/s before the collision, this value must be maintained after the collision. All these concepts are presented in the sample response.

name one advantage and one disadvantage of the prepaid electricity system.​

Answers

Answer:

The system prevents a consumer from accruing debt via electricity use, as it only allows the customer to use electricity which has been paid for upfront.

this gives the advantage of not allowing the consumer to rack up debt

the disadvantage for the consumer comes when they cannot afford to prepay in a time of financial difficulty - as the system now renders them as having no electricity as well as no money

1. Mineral in the earth's crust exists naturally in form of solid elements or compounds *
True
False​

Answers

Answer:

True

Explanation:

Minerals can be defined as any form of naturally occurring, inorganic solid substance characterized by a crystal structure. Also, minerals are homogeneous in nature with a defined chemical composition and characterized by a crystal structure comprising of ions, atoms, or molecules in an orderly arrangement.

Generally, molecules attach on the inside of a mineral to give it shape. Therefore, the molecule of a mineral is a crystal three-dimensional regular structure (arrangement) of chemical particles that are bonded together and determines its shape.

Furthermore, the chemical composition (property) of a mineral reflect the presence and arrangement of atoms in each.

Due to the fact that these molecules are structurally arranged (ordered) and are repeated by different symmetrical and translational operations, they determine the shape of minerals. Some examples of minerals are iron, copper, aluminum, tin, coal, quartz, feldspar, mica, etc.

Additionally, inorganic-crystalline solid substances which are found naturally within earth are referred to as minerals.

In conclusion, a mineral in the earth's crust exists naturally in form of solid elements or compounds.

chef in a local restaurant bought a bag of rice but he was puzzled to see some impurities such as sand, salt and some stapler pins mixed with the rice. Help him to separate the impurities. Sort the type of impurities ( Soluble/Insoluble) present in the bag.

Answers

Answer:

Soluble - salt

Insoluble - sand and stapler pins

Explanation:

The salt is soluble because it is an ionic solid which ready dissolves in water to form a solution.

The sand is insoluble because, it is a non-metallic solid which does not readily dissolve in water while, the stapler pin is insoluble because it is a metallic solid which does not readily dissolve in water.

Write 5 advantages of electricity.

Answers

Answer:

Quick, Efficient, Reliable, Safe and Continous

Answer:

Five advantages of electricity are :Advantages

It is transportable over long distances

It is silent

It can be used produce magnetic fields, which can be used to propel motors

It is very transformable

It is very fast, virtually the speed of light

It can be used to produce other forms of radiant energy, such as radio waves, microwaves, radiant heat and light

I WILL MARK BRAINLLIEST IF U ANSWER
PLS FASTTTT

Answers

Answer:

1) vitamins

2) Meat, eggs, liver

Explanation:

1) Low levels (deficiency) in vitamins such a vitamin B12 and vitamin D can lead to tiredness.

Vitamin B12 is one of the most important nutrients for energy because it helps the blood, digestive system, brain and nervous system. Vitamin D is necessary for bone health and good immune function.

2) To prevent deficiency in vitamins, foods such as beef, eggs, liver, fish can be eaten. Also, supplements such as B-complex vitamin can be taken.

Calculate the average velocity of the cart for each fan mass. Round your answers to the nearest tenth.

The cart with Low fan mass has an average velocity of cm/s.


The cart with Medium fan mass has an average velocity of cm/s.


The cart with High fan mass has an average velocity of cm/s.

Answers

Answer:

Part A

The cart with low fan mass has an average velocity of approximately 63.29 cm/s

Part B

The cart with medium fan mass has an average velocity of approximately 45.[tex]\overline{045}[/tex] cm/s

Part C

The cart with high fan mass has an average velocity of approximately 36.496 cm/s

Explanation:

Part A

The average velocity is given as follows;

[tex]Average \ velocity, v_{average} = \dfrac{Total \ distance}{Elapsed \time \ to \ finish \ line} = \dfrac{\Delta x}{\Delta t}[/tex]

The average velocity for the 2 kg fan mass, which is the cart with low fan mass, is [tex]v_{average}[/tex] = 500 cm/7.9 s ≈ 63.29 cm/s

The cart with low fan mass has an average velocity [tex]v_{average}[/tex] ≈ 63.29 cm/s

Part B

The average velocity of the cart with medium fan mass, 4 kg, is [tex]v_{average}[/tex] = 500 cm/11.1 s = 45.[tex]\overline{045}[/tex] cm/s

The cart with medium fan mass has an average velocity [tex]v_{average}[/tex] ≈ 45.[tex]\overline{045}[/tex] cm/s

Part C

The average velocity of the cart with high fan mass, 6 kg, is [tex]v_{average}[/tex] = 500 cm/13.7 s = 36.496 cm/s

The cart with high fan mass has an average velocity [tex]v_{average}[/tex] ≈ 36.496 cm/s.

Answer:

its

67.6

78.1

89.3

Explanation:

i just took the assignment,  2021.

Incident beam
Which order is the brightest?

Answers

Answer:

mark me as the brainliest plss

What is a frequency of a ships whistle if the velocity of sound is 340 meters/ second and the wave length is 1.70?

A.)200 hertz
B.)253hertz
C.)340hertz
D.)532hertz

Answers

Answer:

A

Explanation:

As u will divide the sound of air with The length which is also the alternative formula for calculating frequency

A current of 2.5A flows through a simple electrical
circuit. How many coulombs of charge flow through
a point in 2 minutes?
I need help with this please​

Answers

Answer:

300 coulombs.

Explanation:

We know that:

Current(A) = quantity of charge (coulomb) / time(secs)

But we are looking for the charge. So we do this:

Quantity of charge = Current (A) × Time (secs)

2 mins = (60 × 2) secs = 120 secs

2.5A × 120 secs = 300 coulombs

A strong magnetic field surrounds Earth. How does Earth’s magnetic field help humans?
It holds people’s belongings tight to Earth’s surface.
It’s responsible for cycling water through Earth’s four spheres.
It keeps the solar wind from reaching Earth.
It helps people navigate using a compass.
It helps cool Earth’s surface.

Answers

Answer:

-It holds people's belongings tight to Earth's surface

-it helps cool Earth's surface

- it keeps the solar wind from reaching earth

a branch falls from a tree.how fast is the branch moving after 0.28 seconds?

Answers

2.75 m/s. Hope this helps.

The answer should be 2.75 m/s.

The number of molecules in 48.0 grams of oxygen gas o2 is

Answers

Answer:

9.03 times 10times 23 calculate it and there ya go

Answer:

Ok.

Know this.

1 moles of a gas contains 6.022x10²³molecules.

Given: 48g of Oxygen gas.

Find the moles present

Mole = Mass/Molar Mass

Molar Mass of O2 = 16x2 =32g/mol

Mole = 48/32

=1.5moles of O2.

Recall

1 moles of gas contains 6.022x10²³molecules

1.5moles would contain

1.5 x 6.022x10²³molecules

=9.033 x 10²³ molecules of Oxygen gas.

Have a great day!

Un cuerpo permanecerá en movimiento rectilíneo uniforme o en reposo si la fuerza neta sobre él es nula o si sobre este no actúa ninguna fuerza". ¿A qué concepto corresponde la definición? *

Answers

Answer:

Primera Ley de Newton, también llamado Ley de la Inercia de Newton.

Explanation:

Este concepto es la Primera Ley de Newton o Ley de la Inercia de Newton, la cual dice textualmente que todo cuerpo al cual no se aplica ninguna fuerza externa neta no nula sobre sí se encuentra en reposo o desplazándose a velocidad constante.

Entiéndase a la inercia como la tendencia de un cuerpo a oponerse al cambio en su estado de movimiento.

define equation of motion​

Answers

Answer:

In physics, equations of motion are equations that describe the behaviour of a physical system in terms of its motion as a function of time.

There are 5 types of equations of motion:

[tex]v = u + at[/tex]    (Velocity)                                                                [tex]v =[/tex] final velocity [tex]v^{2} = u^{2} + 2as[/tex]   (Velocity squared)                                             [tex]u =[/tex] initial velocity   [tex]s = ut + \frac{1}{2} at^{2}[/tex]  (Displacement with positive acceleration)      [tex]a=[/tex] acceleration[tex]s = vt - \frac{1}{2} at^{2}[/tex]   (Displacement with negative acceleration)      [tex]t=[/tex] time[tex]s=\frac{1}{2} (u+v) t[/tex]  (Displacement)                                                    [tex]s=[/tex]  displacement                                                                                 (vector version of distance)

                                                                                     

Can anybody help?? If somebody can answer I'd love it!!

Answers

Answer:

1.

a. T

b. F

c. T

d. F

e. T

2. Liquid, gas, solid

3. Water

4.

a. Solid

b. Gas

c. Water

5.

a. Add heat

b. Remove heat

c. Add heat

For an object to appear red, what must happen?
A. It must refract red light waves.
B. It must diffract red light waves.
C. It must reflect red light wavel
D. It must shift red light waves.

Answers

Answer:

C. It must reflect red light wavel

Explanation:

The color of the object is reflected by the object other colors are absorbed by the object.

Here object appears in red color so red color is reflected by the object and other colors are absorbed.

What causes an atom to be radioactive??

Answers

Atoms found in nature are either stable or unstable. An atom is stable if the forces among the particles that makeup the nucleus are balanced. An atom is unstable (radioactive) if these forces are unbalanced; if the nucleus has an excess of internal energy. Instability of an atom's nucleus may result from an excess of either neutrons or protons. Ccredits: internet source

Answer:

What causes atoms to be radioactive? ... Instability of an atom's nucleus may result from an excess of either neutrons or protons. A radioactive atom will attempt to reach stability by ejecting nucleons (protons or neutrons), as well as other particles, or by releasing energy in other forms

What is the speed of light in (a) crown glass n= 1.52, (b) Lucite n = 1.51, and (c) ethyl alcohol n = 1.36?

Answers

Answer:

[tex](a)\\1.97\times 10^8 m/s\\(b)\\1.99\times 10^8 m/s \\(c)\\2.21 \times 10^8 m/s[/tex]

Explanation:

According to the definition of refractive index, the refractive index of the material is defined as the ratio of speed of light in vacuum to the speed of light in medium.

(a) refractive index, n = 1.52

[tex]n=\frac {c}{v}\\\\1.52 = \frac{3\times 10^8}{v}\\\\v = 1.97\times 10^8 m/s[/tex]

(b) refractive index, n = 1.51

[tex]n=\frac {c}{v}\\\\1.51 = \frac{3\times 10^8}{v}\\\\v = 1.99\times 10^8 m/s[/tex]

(c) refractive index, n = 1.36

[tex]n=\frac {c}{v}\\\\1.36 = \frac{3\times 10^8}{v}\\\\v = 2.21\times 10^8 m/s[/tex]

Please help meeeeeeeeeeeeeeeeee??????????!!!!!?!!??!!?!!!?

Answers

it’s the one that’s a straight line from the orgin
Straight line from the origin
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