A bucket filled with water has a mass of 70kg and is hanging from a rope that is wound around a 0.054 m radius stationary cylinder. If the cylinder does not rotate and the bucket hangs straight down, what is the magnitude of the torque the bucket produces around the center of the cylinder?

Answers

Answer 1

Answer:

T = 37.08 [N*m]

Explanation:

We must remember that torque is defined as the product of a force by a distance. This distance is measured from the point of application of force to the center of rotation of the rotating body.

The force is equal to the product of mass by gravitational acceleration.

[tex]F=m*g\\F=70*9.81\\F=686.7[N][/tex]

Now the torque can be calculated:

[tex]T=F*r\\T=686.7*0.054\\T=37.08[N*m][/tex]


Related Questions

At which point is the kinetic energy the greatest?

Answers

Answer:

Kinetic energy is energy an object has because of its motion and is equal to one-half multiplied by the mass of an object multiplied by its velocity squared (KE = 1/2 mv2). Kinetic energy is greatest at the lowest point of a roller coaster and least at the highest point.

Explanation:

here is an example Where is the apple when it has the most kinetic energy? When the apple is falling and is right before it hits the ground. As an object falls under the influence of gravity, kinetic energy and potential energy are equal everywhere/at the halfway point only. 10. As an object falls under the influence of gravity, potential energy is greater than kinetic energy after halfway point/ before the halfway point

In the roller coaster, the kinetic energy is greatest at point X.

The kinetic energy of a body is given by 1/2mv^2.

Where;

m = mass of the object

v =velocity of the object.

For a roller coaster, the velocity is maximum at the lowest points of the roller coaster. If the velocity is maximum at the lowest point, it also follows that the kinetic energy is also maximum at the lowest point. Hence point X has the highest kinetic energy.

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help!! i need to know which letter has the highest speed, the middlest speed and the lowest speed!!

Answers

Answer:

From highest speed to lowest speed:

A, C, B

Explanation:

On a position time graph, the slope of a line would represent the velocity, since the rate of change represents how many meters traveled in the given time.

The larger the slope, the faster the velocity; the steeper the line, the faster the speed.

Since line B is negative, you know that velocity is negative so it automatically has the lowest speed.

Out of lines A and C, since A is steeper, you know that A has a faster speed.

In conclusion:

A is the fastest

C is the middle

B is the slowest

please answer it fast and correctly​

Answers

Answer:

(1) chess is played by him

(2) The great black engine was seen by her

(3) Arrangements for functions had been made by him

(4) A meeting is being attended by Raman

= when the last of the guests left, I went back into the hall to look for my mobile phone that I had kept on the table, I found that my mobile phone was not there. I felt freaked and I asked to every member of my family about my phone, but nobody had idea about that. then there was a phone call made by my uncle to my father, that his son had taken the mobile by mistake. After sometime, My uncle came to return my mobile. Then I took a sigh of relief .

please mark me as a brainelist

A 2.0 kg block is released from rest at the top of a curved incline in the shape of a quarter of a circle of radius R = 3.0 m. The block then slides onto a horizontal plane where it finally comes to rest a distance D from the beginning of the plane. The curved incline is frictionless, but there is a coefficient of friction, μ = 0.5, on the horizontal plane. Determine the velocity of the box at maximum kinetic energy

Answers

The block has maximum kinetic energy at the bottom of the curved incline. Since its radius is 3.0 m, this is also the block's starting height. Find the block's potential energy PE :

PE = m g h

PE = (2.0 kg) (9.8 m/s²) (3.0 m)

PE = 58.8 J

Energy is conserved throughout the block's descent, so that PE at the top of the curve is equal to kinetic energy KE at the bottom. Solve for the velocity v :

PE = KE

58.8 J = 1/2 m v ²

117.6 J = (2.0 kg) v ²

v = √((117.6 J) / (2.0 kg))

v ≈ 7.668 m/s ≈ 7.7 m/s

The velocity of the block at maximum kinetic energy is 7.668 m/s.

From  potential energy formula,

PE = m g h

Where,

m = mass = 2 kg

g -gravitational acceleration = 9.8 m/s²

h - height = 3 m

Put the values in the formula,

PE = (2.0 kg) (9.8 m/s²) (3.0 m)  

PE = 58.8 J

Since,  

PE = KE

Thus,

58.8 J = 1/2 m v ²  

117.6 J = (2.0 kg) v ²  

v = √((117.6 J) / (2.0 kg))  

v = 7.668 m/s

Therefore, the velocity of the block at maximum kinetic energy is 7.668 m/s.

To know more about  potential energy

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4) Bunny pushes on Monkey to the right with a 95N force while Deer pushes on Monkey Tom Lee
with a 75N force. Monkey weighs
50N.

Answers

Answer:

-30N to the left

Explanation:

Step one:

Given data

the mass of the monkey is 50N

Step two:

Required is the net force acting on the monkey

Now to the right Bunny is applying 95N,

Deer pushes on Monkey Tom Lee

with a 75N the net force acting on the monkey to move it is

= 95-50-75= -30N to the left

the other user said:

-30N to the left

A container is filled with liquid the depth of the liquid is 60 CM if exertingc in pressure is 2000pa. calculator the density of a liquid

Answers

Answer:

The density of the liquid is 340.136 kg/m³

Explanation:

Given;

depth of liquid in the container, h = 60 cm = 0.6 m

pressure of the liquid, P = 2000 Pa = 2000 N/m²

The pressure of the liquid is calculated as ;

P = ρgh

where;

ρ is density of the liquid

g is acceleration due to gravity = 9.8 m/s²

h is depth of the liquid

Make the density (ρ) the subject of the formula;

[tex]\rho = \frac{P}{gh} \\\\\rho = \frac{2000}{9.8 \times 0.6}\\\\\rho = 340.136 \ kg/m^3[/tex]

Therefore, the density of the liquid is 340.136 kg/m³

How does variation impact natural selection?

Answers

The answer to this is D!

The magnitude of the resultant of two vectors of magnitude 3 units and 4 units is 5 units. What is the angle between two vectors?

Answers

Explanation:

Using Cosine rule, we have 5² = 3² + 4² - 2(3)(4)(cosx).

=> cosx = 0, x = 90°.


3. Reducing the distance between two objects to 1/2 its original value will
a. Make the gravitational force between the objects twice its original value,
B. Make the gravitational force between the objects 1/4 of its original value,
C) Make the gravitational force between the objects 4 times its original value,
D. Make the gravitational force between the objects of its 1/2 original value,

Answers

Answer:

i my though may it is auestion no B i am not correct may its write

Explanation:

B

What element conducts heat and electricity:

Helium
Potassium
Sulfur
Copper
Arsenic

Answers

The answer is copper
Cooper is the answer question

A 5 kg rifle fires a 15 g bullet at a muzzle velocity of 600 m/s. Find the recoil velocity of
the rifle

Answers

Answer:

v₂ = 1.8 [m/s]

Explanation:

To be able to solve this problem we must raise the principle of conservation and quantity of movement. It is going to study the momentum before and after the firing of the rifle.

P = m*v

where:

P = momentum [kg*m/s]

m = mass [kg]

v = velocity [m/s]

Now we need to analyze the moment before and after the shot.

[tex](m_{1}+m_{2})*v_{1}=-(m_{1}*v_{2})+(m_{2}*v_{3})[/tex]

where:

m₁ = mass of the rifle = 5 [kg]

v₁ = velocity of the rifle and the bullet before firing = 0 (no movement)

m₂ = mass of the bullet = 15 [g] = 0.015 [kg]

v₂ = velocity of recoil [m/s]

v₃ = velocity of the bullet after firing = 600 [m/s]

Now replacing:

[tex](5+0.015)*0 = -(5*v_{2})+(0.015*600)\\9 = (5*v_{2})\\v_{2}=1.8 [m/s][/tex]

Momentum is the product of mass and velocity. The recoil velocity of the rifle weighing 5 kg is 1.8 m/s.

What is conservation of momentum?

According to the law of conservation of momentum if two objects are in contact with each other then for that system of the two objects the momentum of the object before will be equal to the momentum of the object after the collision.

GIven to us

Mass of the rifle, M = 5 kg

Mass of the bullet, m = 15 g = 0.015 kg

Velocity of the bullet afterwards, v₂ = 600 m/s

We know that according to the law of conservation of momentum, the momentum of the bullet and riffle before shooting will be equal to the momentum of the bullet and riffle after shooting.

[tex]Mu_1 + mu_1 = Mv_1 + mv_2[/tex]

Since, before shooting the bullet was in the riffle and the velocity of both was 0,

[tex]M(0) + m(0) = Mv_1 + mv_2\\\\-Mv_1 = mv_2\\\\v_1 = -\dfrac{m \times v_2}{M}[/tex]

Substitute the values,

[tex]v_1 = -\dfrac{0.015 \times 600}{5}\\\\v_1 = -1.8\rm\ m/s[/tex]

Thus, the recoil of the rifle is -1.8 m/s, the negative sign denotes that the velocity of recoil was in opposite direction to the bullet.

Hence, the recoil velocity of the rifle weighing 5 kg is 1.8 m/s.

Learn more about Momentum:

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Which of the following are single-displacement reactions?

A Mg (s) + 2H,0 (g) → Mg(OH)2 (aq) + Hz (g)

B. 2C,H6 (g) + 70, (g) → 6H,0 (9) + 4CO, (g)

c. AgNO3 (aq) + NaCl (aq) → AgCl (s) + NaN3 (aq)

D. Clz (9) + KBr (aq) → KCI (aq) + Br2 ()

Multiple answer are allowed!!!

Answers

Answer:

A & D

Explanation:

A single-displacement reaction is a chemical reaction whereby one element is substituted for another one in a compound and thereby generating a new element and also a new compound as products.

From the options, only options A & D fits this definition of single-displacement reactions.

For option D: Both left and hand and right hand sides each have one element and one compound. We can see that K is substituted from KBr to join Cl to form KCl and Br2 on the right hand side.

For option A: Both left and hand and right hand sides each have one element and one compound. We can see that OH is substituted from 2H2O to join Mg to form Mg(OH)2 and H2 on the right hand side.

The other options are not correct because they don't involve only and element and a compound on each side of the reaction.

Answer: .A AND D

Explanation:APΕX

help please 10 pts and quick!

Answers

Answer: A

Explanation: as you can see it would be a 50/50 chance because there is 2 for each hope this helps(:

If an object is resting on a surface it "crunches" the atoms underneath it. According to Newton's Third Law the surface pushes back on the object. What is the name given to this force that acts perpendicular to the surface?

Answers

Answer:

Normal force

Explanation:

Normal force is the force that surfaces employ so that solid objects are disallowed from passing through each other.

What is the energy transformation of these street lights with solar panels?

Answers

Solar LED street lights rely on the photovoltaic effect, which allows the solar cell to convert sunlight into usable electrical energy.

Which wave form will Rayleigh waves most likely create?

A. an ocean wave
B. a skier moving down a mountain hill
C. a car traveling through the sand dunes
D. a whale gliding along the ocean's surface

Answers

a- an ocean wave
would be the correct answer

How much heat is lost by 2.0 grams of water if the temperature drops from 31 °C to 29 °C? The specific heat of water is 4.184 J/(g • °C) *

1 point

a) 4.0 J

b) - 7.5 J

c)- 8.4 J

d) - 16.7 J​

Answers

Given :

Mass of water, m = 2 grams.

The temperature of water drops from 31 °C to 29 °C .

The specific heat of water is 4.184 J/(g • °C).

To Find :

Amount of heat lost in this process.

Solution :

We know, heat lost is given by :

[tex]Heat\ lost,H = ms( T_f - T_i)\\\\H = 2\times 4.184 \times ( 31 - 29 )\ J\\\\H = 16.736\ J[/tex]

Therefore, amount of heat lost in this process is 16.736 J.

If an object has a weight of 4050 N near the surface of the Earth, what is its mass?

Answers

Answer:

417.5 kg

Explanation:

Since the gravitational for of attraction F, equals the weight of the object W when its close to the earth, F = GMm/R² = W = mg where m = mass of object and g = acceleration due to gravity close to the earth = 9.8 m/s².

g = GM/R² where  g = acceleration due to gravity close to the earth, G = universal gravitational constant = 6.67 × 10⁻¹¹ Nm²/kg², M = mass of earth = 5.927 × 10²⁴ kg and R = radius of earth = 6.4 × 10⁶ m

So, g = GM/R²

= 6.67 × 10⁻¹¹ Nm²/kg² × 5.927 × 10²⁴ kg/(6.4 × 10⁶ m)²

= 39.53 × 10¹³ Nm²/kg ÷ 40.96 × 10¹² m²

= 9.65 N/kg

≅ 9.7 N/kg

= 9.7 m/s²

Since W = 4050 N and W = mg

m = W/g = 4050 N/9.7 m/s²

= 417.53 kg

≅ 417.5 kg

So, the mass of the object is 417.5 kg

Bernoulli's principle is responsible for most of the lift produced by an airplane wing.
True
False

Answers

Answer:

huiiiiuuu beautiful...

you showed me what true love is really like and made my confidence come back :) couldn't have asked for anything better!!

Answers

Answer:

lucky you cointinue

Explanation:

thxs for free points

The boy a projects a ball downwards with velocity v ,where it reaches the boy b after 0.5 s . So the ball the reaches the ground after time ...... from the moment of projection (g=10 m/s2)

Answers

Answer:

the answer i

Explanation:

in winter morning as soon as we wake up , the air inside the room is cold but if we go out and return to the same room , we feel warm why?​

Answers

I believe it is because you are exposed to a change in temperature environment than the one you were in. I hope this helps if not I’m sorry. Merry Christmas!

The argument against your claim (what the other side would say if they disagreed with your claim.) is:
Group of answer choices

counterclaim

author's purpose

opinion

argument

Answers

Answer:

a counterclaim

Explanation:

authors purpose is what an author wrote somthing for

opinion is someones thoughts or "side" on a argument

an arguement is a battle of opinions if that makes sense

An icicle falls off of a skyscraper from rest and falls for 34 seconds. How fast will that icicle be moving after that time? Show all work and units. (a = g = 9.81 m/s^2) *

Answers

Answer:

The icicle will be moving at 333.54 m/s

Explanation:

Free Fall Motion

A free-falling object falls under the sole influence of gravity. Any object that is being acted upon only by the force of gravity is said to be in a state of free fall. Free-falling objects do not encounter air resistance.

If an object is dropped from rest in a free-falling motion, it falls with a constant acceleration called the acceleration of gravity, which value is [tex]g = 9.81 m/s^2[/tex].

The final velocity of a free-falling object after a time t is given by:

vf=g.t

The icicle falls from rest for 34 seconds. We need to find the speed after that time:

vf = 9.81*34

vf = 333.54 m/s

The icicle will be moving at 333.54 m/s

A hunter shoots a tranquilizer dart straight at a monkey who is
hanging on a tree branch that is 1.5 meters high. The tree is 16 meters
away from the hunter. The man shot the dart at the monkey with an
initial sideways velocity of 40 m/s, and at the same time, the monkey
let go of the branch. what time will the monkey reach the same height
of the arrow?
t= _S

Answers

Answer:

The donkey might be dead

Write two different unit in which mass is measured.​

Answers

Answer:

kilograms and grams

Explanation:

kilograms is the stadard unit for mass according to the SI system.

Grams is another unit for mass.

Think about a typical school day. In the space provided below, describe how each of the different forms of energy we have learned about (chemical, electrical, heat, kinetic, potential, and solar) are used during a typical school day and how each form of energy is transformed into another.

Answers

Answer:

During a typical school day all forms of eneergy is being utilised and also transfer of energy takes place from one form to another.

Explanation:

Chemical energy- A bunsen burner burning a beaker filled with water.

Heat energy- The water in the beaker absorbing the heat from the burner.

Electrical energy- Running Fans and lights in a classroom by switches.

Solar energy- Solar energy harnessed by solar panels to run the fans and lights by converting it into electrical energy.

Potential energy- A ball being held by a student at a certain height possesses energy due to gravity.

Kinetic energy- The same ball being left by the boy from a certain height produces kinetic energy

Answer:

Explanation:

Chemical energy- A bunsen burner burning a beaker filled with water.

Heat energy- The water in the beaker absorbing the heat from the burner.

Electrical energy- Running Fans and lights in a classroom by switches.

Solar energy- Solar energy harnessed by solar panels to run the fans and lights by converting it into electrical energy.

Potential energy- A ball being held by a student at a certain height possesses energy due to gravity.

Kinetic energy- The same ball being left by the boy from a certain height produces kinetic energy

PLEASE HELP ASAP!!!

Bradley is installing fencing on a farm. As he is installing the fencing, he moves 65.0 meters directly south, then turns, and goes 44.0 meters at an angle 25.0° east of south, where he finishes his work shift. What is his final displacement vector at the end of his shift??

a. 107m, 10.1°, east of south

b. 107m, 10.1° south of east

c. 121m, 14.1° south of east

d. 121m, 14.1° east of south

Answers

Answer:

The correct option is;

a. 107 m, 10.1°, east of south

Explanation:

The given question can be answered using vectors as follows;

The initial displacement south by Bradley = 65.0 meters

In vector form, we have

The initial displacement south by Bradley = -65·j

The displacement 25.0° east of south = 44.0 meters

In vector form, we have

The displacement 25.0° east of south = 44 × sin(25°)·i - 44 × cos(25°)·j

In vector, form, we have;

The total displacement = The sum of the vectors of the two displacement

∴ The total displacement = -65·j + 44 × sin(25°)·i - 44 × cos(25°)·j

The total displacement = 44 × sin(25°)·i - (44 × cos(25°) + 65)·j

We use the i and j components to find the magnitude and the direction of the total displacement as follows;

The magnitude of the total displacement = √((44 × sin(25°))² + (44 × cos(25°) + 65)²) = 106.5132881 ≈ 107

The magnitude of the total displacement ≈ 107 m

The direction of the total displacement = arctan((44 × sin(25°))/((44 × cos(25°) + 65)) = 10.0542797419° ≈ 10.1° east of south

A murder victim is found slumped over his desk in his office. The bullet that killed him is found lodged in his chair. Investigators find footprints in the carpet and gather traces of silica used to make concrete from the footprints. Their prime suspect is a construction supervisor who recently had an argument with the victim. The suspect's construction firm regularly uses a brand of concrete with high concentrations of silica. On the victim's desk is a threatening letter from the suspect regarding a disagreement between them. The suspect's fingerprints are found on the letter. Which of these pieces of evidence is showing a class characteristic?
A. The fingerprints on the letter belonging to the suspect
B. The silica in the carpet being like the concrete that the suspect's company uses
C. The victim being killed with his own gun
D. The suspect being angry enough with the victim to threaten him

Answers

It’s b because I had the question

Suppose the green car was traveling at 0 miles the white car was traveling at 70 miles at the red car was trailing at 22 miles which car is covering the most distance every second?

Answers

Answer:

The white car will cover the most distance every second.

Explanation:

The formula for the uniform speed of an object is given as follows:

[tex]s = vt[/tex]

where,

s = distance covered by the object

v = speed of the object

t = time required

Now, if we assume time to be  constant at 1 s. Then the distance covered by each car will be directly proportional to the speed of the car. Hence, the car with the greatest speed will travel the greatest distance in 1 second.

We, have:

Speed of white car > Speed of red car > Speed of green car

Therefore, the white car will cover the most distance every second.

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