. A hydraulic lift consists of two cylindrical pistons, one with a radius of 1.5 m and
the other with a radius of 8.0 cm. What force must be applied to the smaller piston if
a crate with a mass of 1.5x103 kg is to be raised on the larger piston?
F=42N,

Answers

Answer 1

Answer:

The force that must be applied to the smaller piston if the crate is to be raised by the larger piston is approximately 42 N

Explanation:

The given parameters of the hydraulic lift are;

The diameter of one of the pistons = 1.5 m

The diameter of the other pistons = 8.0 cm = 0.08 m

The mass of the crate to be lifted with the larger piston, m = 1.5 × 10³ kg

The weight of the mass to be lifted by the larger piston, W₁ = m × g

Where;

g = The acceleration due to gravity = 9.8 m/s²

Therefore;

W₁ = 1.5 × 10³ kg × 9.8 m/s² = 14,700 N

The area of the surface of the circular piston, A = π × r²

Where;

r = The piston's radius

∴ The area of the larger piston with 1.5 m radius, A₁ = π × (1.5 m)² = 7.06868347058 m² ≈ 7.07 m²

A₁ ≈ 7.07 m²

The area of the smaller piston with 0.08 m (8 cm) radius, A₂ = π × (0.08 m)² = 02010619298 m² ≈ 0.02 m²

A₂ ≈ 0.02 m²

The pressure in the fluid of the hydraulic lift is constant, therefore, we have;

The pressure applied to the larger piston with 1.5 m radius, P₁ = The pressure applied to the smaller piston with 0.08 m radius, P₂

∴ P₁ = P₂

[tex]Pressure = \dfrac{Force}{Area}[/tex]

[tex]P_1 = \dfrac{W_1}{A_1} = \ P_2 = \dfrac{F_2}{A_2}[/tex]

[tex]\therefore \dfrac{W_1}{A_1} = \ \dfrac{F_2}{A_2}[/tex]

Where, F₂, represents the force that must be applied to the smaller piston if the crate is to be raised by the larger piston;

[tex]\therefore F_2 = A_2 \times \dfrac{W_1}{A_1}[/tex]

Given that we have the ratio of two areas which have π as a factor, we have;

[tex]\therefore F_2 = A_2 \times \dfrac{W_1}{A_1} = 0.08^2 \times \pi \times \dfrac{14,700}{1.5^2 \times \pi } = 41.81 \overline 3[/tex]

The force that must be applied to the smaller piston if the crate is to be raised by the larger piston, F₂ = 41.81[tex]\overline 3[/tex] N ≈ 42 N.


Related Questions

True or False. When light passes from one medium to another the speed stays constant

Answers

The speed of light is not the same across different medium because of different refractive index. The correct answer is False

The speed of light is approximately 300000000 m/s in a vacuum.

This speed is not the same across different medium because of different refractive index of different medium. Light travels at approximately 300000000 m/s in a vacuum at refractive index of 1

The refractive index of water is about 1.3 which will eventually limit the speed of light. Likewise, the refractive index of glass is about 1.5. This will further reduce the speed at which light travels.

It is therefore False to say that : When light passes from one medium to another the speed stays constant

Learn more about light here: https://brainly.com/question/1363382

Answer:

False

Explanation:

what voltage produces a current of 100 amps with a resistance of 50 ohms

Answers

[tex]\bf{ \underline{Given:- }}[/tex]

[tex] \sf• \: Current \: (I) = 100 \: Amps.[/tex]

[tex] \sf• \: Resistance \: (R) = 50 \: ohms[/tex]

[tex] \\ [/tex]

[tex]\bf{ \underline{To \:  Find:- }}[/tex]

[tex] \sf• \: Voltage \: (V)[/tex]

[tex] \\ [/tex]

[tex] \huge\bf{ \underline{Solution:- }}[/tex]

[tex] \bf \red{ \bigstar{ \: The \: formula \: of \: Voltage \: (V) = IR}}[/tex]

[tex] \rightarrow \sf V = 100 \times 50[/tex]

[tex] \rightarrow \sf V = 5000[/tex]

[tex] \\ [/tex]

[tex] \bf \purple{Therefore, \: Volatage \: is \: 5000 \: v.}[/tex]

Which of the following statements is true?


A.

Most metals and nonmetals conduct electricity well, but metals cannot conduct heat.


B.

Most nonmetals can be drawn into a wire, while metals would break apart.


C.

Most metals and nonmetals conduct heat well, but nonmetals cannot conduct electricity.


D.

Most metals can be drawn into a wire, while nonmetals would break apart.

Answers

Answer:

D.   Most metals can be drawn into a wire, while nonmetals would break apart

Explanation:

The correct statement from the given choices is that most metals can be drawn into a wire while non-metals would break apart.

Metals are malleable due to the presence of metallic bonds between their atoms. The large electron cloud due to the electropositivity of metals allows for the wide range of physical properties observed in them.

Metals are also conductors because they have free mobile electrons. Therefore they can conduct heat and electricity.

Non-metals are brittle and cannot conduct neither heat nor electricity.

How does static work if items are not touching?

Answers

Answer:

Electrostatic forces are non-contact forces; they pull or push on objects without touching them. Rubbing some materials together can result in something called 'charge' being moved from one surface to the other. Charged objects pull on other uncharged objects and may either push or pull on other charged objects.

Instructions
Question 6 of 20 :
Select the best answer for the question.
6. Snap-action switches operate with
O A, springs.
B. electromagnetic current.
C. magnets.
D. clasps.

Answers

A group of students toured a limestone cave in northwest Georgia.
Which of these best explains how the limestone caves in Georgia were formed?
A. Plant roots split the rock.

B. Acidic water dissolved the rock.

C. Animals burrowed into the rock.

D. Ice formed and broke up the rock.

Define fractional distillation

Answers

Answer:

separation of a liquid mixture into fractions differing in boiling point (and hence chemical composition) by means of distillation, typically using a fractionating column.

Answer:

Fractional distillation is the separation of a mixture into its component parts, or fractions. Chemical compounds are separated by heating them to a temperature at which one or more fractions of the mixture will vaporize. It uses distillation to fractionate.

A car has a mass of 1500 kg and accelerates at a rate of 15 m/s^. What was the force applied?

Answers

Answer:

22500N

Explanation:

Given parameters:

Mass of the car  = 1500kg

Acceleration  = 15m/s²

Unknown:

Force applied  = ?

Solution:

From Newton's second law of motion:

  Force  = mass x acceleration

So

     Force  = 1500 x 15  = 22500N

please help me ;3 (ALSO REMEMBER IT SAYS SELECT TWO)

Answers

Answer:

B and C

Explanation:

It is a reaction between a component(chemical reaction).

I would say c and a

Sir Isaac Newton was among the first to observe the movement of objects and express those observations as laws. According to Newton's law of inertia, a body

a. in variable motion will remain in motion unless its state of matter changes.

b. with no kinetic energy will remain along a path with a constant radius.

c. with a variable potential energy will remain with a constant, nonzero acceleration.

d. in uniform motion will remain in motion unless it is acted upon by an outside force ​

Answers

Answer:

it's D

Explanation:

Newton's first law of motion states that a body at rest remains at rest or if in motion remains in motion at a constant velocity unless acted upon by a external Force

The correct option is D. In uniform motion will remain in motion unless it is acted upon by an outside force .

What is newton s law ?

Unless influenced by an imbalanced force, an item at rest stays at rest, and an object in motion keeps moving in a straight path at a constant pace. An object's acceleration is determined by its mass and the force being applied.

Every time one object applies force to another, the other object applies an equal and opposite force to the first.

According to Newton's first law, unless pushed to alter its condition by the operation of an external force, every object will continue to be at rest or in uniform motion in a straight line. Inertia is the propensity to resist changes in a condition of motion.

Therefore, The correct option is D. In uniform motion will remain in motion unless it is acted upon by an outside force .

To learn more newtons law, refer to the link:

https://brainly.com/question/15280051

#SPJ2

I need help with this asap please!!

Answers

Answer:

9000Ns

Explanation:

Given parameters:

Mass of sled  = 100kg

Net force  = 150N

Time  = 1min  = 60s

Unknown:

Total impulse  = ?

Solution:

The total impulse on the body can be derived using the expression below;

   Impulse  = Force x time

  So;

      Impulse  = 150 x 60  = 9000Ns

PLEASE HELPPPPPPPPPP I WILL GIVE YOU BRAINLIEST Catalina's class wants to determine if boys or girls recycled more paper each day. They set up separate recycling bins in the classroom and labeled them "Boys" and "Girls." The students then placed their paper items in the correct bins. Which of the following should the students do each day before emptying the bins?

Answers

Answer:

what are the answer choices

Explanation:

i dont know the choices so i say count the stuff they recycle, and add the score to the days before.

4. A baseball is pitched with a speed of 35 m/s. If the baseball has a mass of 0.146 kg, what is its
Kinetic energy? (35 m/s = 78 mph just FYI - use the m/s)

Answers

Answer: 89 J

Explanation:

The kinetic energy of the baseball with the given mass and speed is 89.425 Joules.

What is the Kinetic energy of the baseball?

Kinetic energy is simply a form of energy a particle or object possesses due to its motion.

It is expressed as;

K = (1/2)mv²

Where m is mass of the object and v is its velocity.

Given the data in the question;

Mass of the baseball m = 0.146kgVelocity v = 35m/sKinetic energy of the baseball K = ?

K = (1/2)mv²

K = (1/2) × 0.146kg × (35m/s)²

K = 0.5 × 0.146kg × 1225m²/s²

K = 89.425kgm²/s²

K = 89.425J

The kinetic energy of the baseball with the given mass and speed is 89.425 Joules.

Learn more about kinetic energy here: brainly.com/question/12669551

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please help! easy science! second pic is the question and possible answers (A B C or D) its one question! brainliest promised!

Answers

Answer:

Please do not take my word for this at all, but this is what I found, "When the pendulum swings back down, the potential energy is converted back into kinetic energy. At all times, the sum of potential and kinetic energy is constant." So I think the answer is B also you are anime fan too lol :DD I love hinata

Explanation:

Can somebody please work these questions out for me?.

Answers

Answer:

Please find the calculated values entered into the following table;

[tex]\left\begin{array}{ccccc}Object & Mass \ (kg)& Weight \ (N) & Height \ (m)&G.P.E.\\A&5&50&2&100\\B&2&20&6&120\\C&8&80&5&400\\D&20&200&0.6&120\\E&5,000&50,000&2&100,000\\F&0.2&2&10&20\\G&67&670&44&29,480\end{array}[/tex]

Explanation:

The given parameters are;

The acceleration due to gravity, g ≈ 10 N/kg

The Gravitational Potential Energy, G.P.E. = m × g × h

The weight of the object, W = m × g

∴ G.P.E. = W × h

The table is filled using the above formula for calculations as follows;

For object A, we have;

Weight = 5 kg × 10 N/kg = 50 N

G.P.E. = 50 N × 2 m = 100 J

For object B, we have;

Weight = 2 kg × 10 N/kg = 20 N

G.P.E. = 20 N × 6 m = 120 J

For object C, we have;

Weight = 8 kg × 10 N/kg = 80N

G.P.E. = 80 N × 5 m = 400 J

For object D, we have;

Weight = 20 kg × 10 N/kg = 200 N

G.P.E. = 200 N × 0.6 m = 120 J

For object E, we have;

Weight = 5,000 kg × 10 N/kg = 50,000 N

G.P.E. = 50,000N × 2 m = 100,000 J

For object F, we have;

Weight = 0.2 kg × 10 N/kg = 2 N

G.P.E. = 2 N × 10 m = 20 J

For object G, we have;

Weight = 67 kg × 10 N/kg = 670 N

G.P.E. = 670 N × 44 m = 29,480 J

Therefore, we have the table filled as follows;

[tex]\left\begin{array}{ccccc}Object & Mass \ (kg)& Weight \ (N) & Height \ (m)&G.P.E.\\A&5&50&2&100\\B&2&20&6&120\\C&8&80&5&400\\D&20&200&0.6&120\\E&5,000&50,000&2&100,000\\F&0.2&2&10&20\\G&67&670&44&29,480\end{array}[/tex]

2. Which animal is a primary consumer in the Ethiopian Highlands?
walia ibex
tiger
black lion
prairie dog

Answers

Answer: Wallia Ibex

Explanation: Black lions and tigers are not primary consumers. However, the Wallia Ibex is a primary consumer, hope it helps :D.

Need help ASAP
Thanks+ BRAINLIST only for correct answers it’s due in 10 mins I really need help

1.what is the order if visible light in increasing energy?
-violet, indigo, blue, green, yellow, orange, red
-red, orange, yellow, green, blue, indigo, violet

2.visible light is a mixture of
-refraction and reflection
-atoms and molecules
-many colors
-ultra violet and non violet rays

Answers

1- option 2
2- option 1

Explanation:

1A. The visible light portion of the electromagnetic spectrum shows the rainbow of colors, with violet and blue having shorter wavelengths, and therefore higher energy. At the other end of the spectrum toward red, the wavelengths are longer and have lower energy.

so its option 2

2A. Atom and molecules

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AND PLEASE MARK ME AS "BRAINLIEST" ANSWER

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A soccer ball is kicked horizontally and rolled off of a 30 meter high cliff. The soccer ball was kicked with a velocity of 17m/s. How long did it take before the ball hit the ground? How far from the cliff did the ball land? (Make sure to include units.)
VERTICLE
Acceleration =
Distance =
Initial velocity=
Time=
HORIZONTAL
Distance=
Velocity=
Time=
Show your work when solving for time:


Show your work when solving for horizontal distance:

Answers

Answer:This will hopefully help. It took me a while so will you mark me brainliest? Thanks!

Explanation:

velocity=Vertical (y) info:

• y = -22.0 m

• viy = 0 m/s

• ay = -9.8 m/s2

distance=

acceleration=

time=

horizontal=Horizontal (x) info:

• x = 35 m

• vix = ?

• ax = 0 m/s2

Initial velocity=16.5 m/s

VOCAB:Horizontal motion is constant

velocity- motion

acceleration-increase in the rate or speed of something.

distance-Distance is a numerical measurement of how far apart objects or points are. In physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria (e.g. "two counties over"). The distance from a point A to a point B is sometimes denoted as. .

time-a point of time as measured in hours and minutes past midnight or noon.

Explanation:

The soccer ball travels a horizontal distance of

33.9 m after being kicked with horizontal velocity of 18.8ms−1. Assuming air resistance is negligible.

Time of flight of the ball

t=Distance Speed=33.918.8s In the vertical direction kinematic equation is

height

h=ut+12gt2 Initial velocity uv=0, acceleration due to gravity g=9.81ms−2. Inserting various values we get h=0×33.918.8+12×9.81×(33.918.8)2⇒h=12×9.81×(33.918.8)2

⇒h=15.9m, rounded to 3 sig. figs

True or False
1)All forces cause a change in an object’s speed and direction.

Answers

Answer:

True

Explanation:

Answer and Explanation:

True I believe bc if you put a certain amount of force on an object it'll move and depending on where you place the force on the object it'll move in that direction. How much force and how much weight the object has will determine the speed...

examine this diagram of the human heart. what is the structure indicated by the arrow?

I unfortunately can't post a picture because I am uploading this question from my computer but I will do my best to describe the image.
It's a normal picture of a human heart, but there is an artery going down and there is an artery going to the right, I need the name of the artery going to the right because that is what the arrow is pointing at.

A. The Pulmonary Artery
B. The Pulmonary Vein
C. The Superior Vena Cava
D. The Aorta

Answers

Answer:

Right coronary artery

Explanation:

Right coronary artery (RCA). The right coronary artery supplies blood to the right ventricle, the right atrium, and the SA (sinoatrial) and AV (atrioventricular) nodes, which regulate the heart rhythm.

Answer:

A.) Pulmonary artery

Explanation: Someone told me Aorta and i got it wrong....

True or false: in our solar system, only the sun creates radio waves

Answers

False hdhsbsbsbjsjsndndbxhsisj

Calculate the total mechanical energy of a 2 kg duck flying at 5 m/s, at a height of 10 meters above the ground.

Use g = 10 m/s?

A.) 25J

B.) 45 J

C.) 205 J

D.) 225J

Answers

Answer:

Total mechanical energy = 225 J

Explanation:

Given:

Mass of duck (m) = 2 kg

Speed of duck (v)= 5 m/s

Height of duck from ground (h) = 10 m

Gravitation acceleration (g) = 10 m/s²

Find:

Total mechanical energy

Computation:

Total mechanical energy = Kinetic energy + Potential energy

Total mechanical energy = (1/2)mv² + mgh

Total mechanical energy = (1/2)(2)(5)² + (2)(10)(10)

Total mechanical energy = 25 + 200

Total mechanical energy = 225 J

An object of mass m is placed on Spring A, which is compressed by distance x. The spring is released and the velocity of the pushed object as it leaves the spring is measured. The experiment is repeated with the same object on Spring B, which is compressed by the same distance x. The object travels faster when pushed by Spring B. What can be concluded?

A .Spring A had a higher elastic potential energy than Spring B.
B. Spring A's spring constant is higher than Spring B's.
C. Spring A's spring constant is lower than Spring B's.
D. Spring A has more mass than Spring B.

Answers

Answer:

C

Explanation:

If an ice cube with the mass of 5.0 grams melts in a closed system such as closed glass jar, what is the mass of the liquid water after the ice cubes completely melts?


A) 4.0 grams

B) 5.0 grams

C) 6.0 grams

D) The mass cannot be determined without knowing the volume.

Answers

Answer:

4.0 grams

Explanation:

Answer:

B) 5.0 grams

Explanation:

Its right

Carmen is helping load furniture and boxes onto a moving truck. She picks up boxes of her things, places them on a cart, and pushes the cart to the moving van. Which term best describes the type of force Carmen is using?

Answers

Answer:

friction is the force she is useing

Answer:

helped bring soviets and americans together

positively portrayed American values

showed respect for Russian culture

helped Americans gain a better understanding of the Soviet people during the Cold War

Explanation: edmentum

An unknown element has been studied in the lab. It has been shown to be malleable, ductile, and a good conductor of heat. Which element best fits this description?

Answers

Can’t tell ya bud sorry

I’ll give brainliest and 10 points

Answers

Answer:

A) (1) and (2)

Explanation:

pls mark me brainliest

The answer is i and ii/ aka answer A

A highway speed limit is posted as 90 km/hr. Is this average speed or instantaneous speed? Explain your answer.

Answers

Answer: instantaneous speed.

Explanation: A highway speed limit posted as 90km/hr would be the instantaneous speed because it’s just the speed for that moment.

A force of 6.0 Newton’s is applied to a block at rest on a horizontal frictionless surface over a 7.0 meter span. How much energy is gained by the block.

Answers

Answer:

42J

Explanation:

Given parameters:

Force applied  = 6N

Distance moved  = 7m

Unknown:

Amount of energy gained by the block  = ?

Solution:

The amount of energy gained by the block is the same as the work done on the block.

The work done is the force applied to move the block through a distance;

 Energy gained  = force x distance  = 6 x 7  = 42J

plzzz helpp mee guysss!!! plzzzz
A car is traveling north on the interstate. They cover 645 miles in 9 hours. What is the car's average velocity? ​

Answers

123465798012345678901243567980

Answer:

ycuvivxuduviguv8vifudsyfucuv

Need help ASAP
Thanks+ BRAINLIST only for correct answers

4. Which of the following sets of EM radiation can harm your body cells?
a. Gamma ray, microwaves, infrared
b. Light, ultraviolet, x-ray
c. Microwaves, ultraviolet, infrared
d. Ultraviolet, x-ray, gamma ray

Answers

Answer:

the correct one is D,  

Ultraviolet, x-ray, gamma ray

Explanation:

Electromagnetism radiation are waves of energy that is expressed by the Planck relationship

          E = h f

where h is the plank constant and f the frequency of the radiation.

Also the speed of light is

          c = λ f

         

we substitute

          E = h c /λ

therefore to damage the cells of the body radiation of appreciable energy is needed

microwave radiation has an energy of 10⁻⁵ eV

infrared radiation                E = 10⁻² eV

visible radiation                   E = 1 to 3 eV

radiation Uv                         E = 3 to 6 eV

X-ray                                    E = 10 eV

 

gamma rays                         E = 10 5 eV

therefore we see that the high energy radiation is gamma rays, x-rays and ultraviolet light.

When checking the answers, the correct one is D

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