. 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

of the following states of motion, the one which requires balanced forces is:
A: a decrease in speed in a straight line
B: an increase in speed in a straight line
C: constant speed in a straight line
D: a change in the direction of the motion

Answers

I believe it would be D a change in direction of motion

A balanced force is required for a change in the direction of the motion.

What is a force?

According to Newton's second law of motion, the force applied to a body is directly proportional to the product of mass and acceleration of the body.

Balanced forces

Balanced forces are those that are opposite in direction and equal in size. When forces are balanced there is no change in direction.

Thus, when there is change in direction, a balance force can be applied to cancel the change in direction of motion.

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m
Bcth drives cast at 30 , then slows to a stop at the red light. A graph of her velocity over time is shown below,
s
where castward is the positive velocity direction.
Velocity
30
A
20+
10+
MY
Pro
2
4
6
8
10
Time (s)
Pro
Теа
Which graph shows her acceleration over time?
Choose1

Answers

Answer:

question is not clear.......

Which of the following scenarios demonstrates a transfer
between kinetic energy and potential energy?

Answers

Answer:

what scenarios?  but kinetic is energy in motion (like a ball rolling) and potential is stored energy (ball laying on ground)

example (kinetic to potential) : baseball flying and and lands on the ground then stops rolling

roller coaster rolling down a hill then stopping (kinetic to potential)

roller coaster on top of a hill and then going down (potential to kinetic)

Explanation:

2.
A hydraulic jack raises a car of 250 N weight to a height of 5.8 m in 5.0 s. The jack does work at a rate of
290 W
216 W
275 W
250 W

Answers

Answer: 290 W
Explanation: I hope this helps you

Can an object with acceleration of zero be in motion?

Answers

Answer:

NO

Explanation:

if it has no acceleration then it's not moving

Answer:

Yes when the velocity is constant then the acceleration is said to be zero. Thus an object with 0 acceleration can be in motion.

Let me give you an example to make you more clear

Example:

When  a car is  traveling at a constant 90 km/h in a straight line has nonzero velocity and zero acceleration.

A(n) ________________________ is a molecule that is soluble in both polar and nonpolar solvents.

Answers

Answer: ethanol which will dissolve in both water (a polar solvent) and gasoline (a non-polar solvent)

Explanation:

According to the concept of solubility, ethanol is a molecule which is soluble in both polar and non-polar solvents.

What is solubility?

Solubility is defined as the ability of a substance which is basically solute to form a solution with another substance. There is an extent to which a substance is soluble in a particular solvent. This is generally measured as the concentration of a solute present in a saturated solution.

The solubility mainly depends on the composition of solute and solvent ,its pH and presence of other dissolved substance. It is also dependent on temperature and pressure which is maintained.Concept of solubility is not valid for chemical reactions which are irreversible. The dependency of solubility on various factors is due to interactions between the particles, molecule or ions.

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In handball, who is the only player allowed in the goalie area?

Answers

Answer:

Only the goalie is allowed inside the goal crease. The only exception when another player is allowed in the goal area is when they take off from outside the goal area, and shoots or passes the ball before landing. To avoid interference with other players, the player must then exit the goal area as soon as possible.

Explanation:

Pls place the words in the right place I'll give brainless and the points!

Answers

Explanation:

you measure temperature in degrees celsius using a thermometer. Thermal energy is measured in joules. A larger volume of water will take longer to heat up but will store more energy than the smaller object. However, a smaller object will lose it's heat faster than a larger object. A cup of tea has less thermal energy than a swimming pool.

what are the factors that affect orbital velocity

Answers

Answer:

the mass of the central body (earth) and the radius of the orbit affect orbital velocity

Explanation:

Can anyone please help meee!!!​

Answers

Answer:

The centripetal acceleration is given by  

a = v 2 r = 10 2 25 = 4   m s − 2

Using Newton's Second Law, the centripetal force acting is  

F = m a = 900 ⋅ 4 =3600 N

Explanation:

What is the definition of endothermic and exothermic?


pls help on a timer will give brainlist

Answers

Answer:

An exothermic process releases heat, causing the temperature of the immediate surroundings to rise. While an endothermic process absorbs heat and cools the surroundings

Explanation:

Answer:

Basically, endothermic feels cooler to touch than exothermic.

Explanation:

Endothermic reactions are just reactions that emit energy (in form of heat) to its surroundings. Exothermic ones, on the other hand, draw energy from its surroundings to occur.

Always think - "Endothermic is cool. Exothermic is not cool."

A squirrel starts at rest and accelerates at 2.3 m/s^2 for 5.22 seconds. What is it's final velocity?

Please provide the variable, number, and unit e.g., a= 1.34 m/s^2

Answers

Answer:

12.259 m/s

Explanation:

An object starting at rest and accelerating at a constant acceleration a for t seconds has a velocity of

[tex]v=at[/tex]

If we substitute in the values a = 2.3 m/s² and t = 5.22 s, we get a velocity of

[tex]2.3(5.22)=12.259[/tex] m/s

The force of attraction that holds two atoms together within a molecule is

Answers

Answer: Chemical bond

Explanation:  This force is of an electric nature, and the attraction between electrons of one atom to the nucleus of another atom contributes to what is known as chemical bonds.

If a 2 kg spring is compressed by exerting a force of 10 newtons a distance of 50 cm how much work is done?

Answers

convert cm into meters,
50/100=0.5m

work done= 10x0.5
=5J

we dont consider the weight of the spring as it acts downwards.

Three sharks are located at the vertices of an equilateral triangle whose side equals LL. They all start moving simultaneously with a constant speed vv, with the first shark heading constantly toward the second, the second toward the third, and the third toward the first. How soon will the sharks converge at one point

Answers

Answer:

They will never meet.

Explanation:

Given that three sharks are located at the vertices of an equilateral triangle whose side equals LL. They all start moving simultaneously with a constant speed vv, with the first shark heading constantly toward the second, the second toward the third, and the third toward the first. How soon will the sharks converge at one point ?

Since the three sharks are located at the vertices of an equilateral triangle whose side equals, and the first shark is moving toward the second, the second is moving toward the third, and the third shark is moving toward the first, the movement of the three shark will form a circular motion.

Since the three sharks are moving at a constant speed, the three sharks will never meet because the distances between them are also the same.

The three sharks will therefore continue to move till infinity.

D.
because the time is used up due to irrelevant and unnecessary topics
& Every time your group conducts a meeting, nothing is accomplished
that intervene the discussion.
As the group leader, how will you keep your members focused on the
agenda of the meeting using the restriction strategy?
A. Tell them that they will get kicked out from the group if they will
B. End the meeting immediately as soon
as the group begins to
talk about other things irrelevant to the agenda.
c. Give instructions before the meeting starts to confine and limit
what they can say.
D. Show disappointment.
not cooperate.​

Answers

Answer:

b because I took the quiz

when a material absorbs energy from light the energy causes the material to do what?

Answers

Answer:

To change.

Explanation:

The Law of Conservation of energy states that energy cannot be destroyed but can only be transformed or converted from one form to another. For example, light energy to heat energy.

When a material absorbs energy from light the energy causes the material to change.

A spring has a constant of 875 N/m. What hanging mass will cause this spring to stretch 4.5 m?

Answers

Answer:

8) A hanging 7.5 kg object stretches a spring 1.1 m. What is the spring constant? 1 . 1 66. 82 NIMO 9) A spring has a constant of 875 N/m. What hanging mass will cause this spring to stretch 4.5 m? Iouliply then divide 875 X 4. 2- - (4 04. 7919) 10) A spring with a spring constant of 25 N/m is stretched 65 cm. What was the force used? 11) A 25 N force stretches a spring 280 cm. What was the spring constant? 12) A 75 N force stretches a spring 175 cm. What was the proportionality constant? 8) 66.82 N/m 9) 401.79 kg 10) 16.25 N 11) 8.93 N/m 12) 42.86 N/m

Explanation:

A spring has a constant of 875 N/m. and the mass which will cause this spring to stretch 4.5 meters is 401.78 kg.

What is Spring constant?

The spring constant is a characteristic of a spring which is defined as the ratio of the force affecting the spring to the displacement which is caused by that force. The SI unit of spring constant is N.m⁻¹ (Newton per meter).

The spring constant is:

F = -k/ x

where, k is the spring constant

F denotes the force,

and x denotes the change in the length of the spring.

k = 875N/m

x = 4.5m

We know that

Kx = mg

m= kx/ g

m = 875 × 4.5/ 9.8

m = 401.78kg

Therefore, the mass which will cause this spring to stretch 4.5 meters is 401.78 kg.

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explain the oscillations or motion of both types of waves

Answers

There are two basic types of wave motion for mechanical waves: longitudinal waves and transverse waves. The animations below demonstrate both types of wave and illustrate the difference between the motion of the wave and the motion of the particles in the medium through which the wave is travelling.

A stationary 10 kg object is located on a table near the surface of the earth. The coefficient of kinetic friction between the surfaces is 0.2. A horizontal force of 40 N is applied to the object.

Answers

Answer:

2.04m/s²

Explanation:

Complete Question

A stationary 10 kg object is located on a table near the surface of the earth. The coefficient of kinetic friction between the surfaces is 0.2. A horizontal force of 40 N is applied to the object. Find the acceleration of the object.

According to Newtons second law;

\sum F_x = ma_x

F_m - F_f = ma_x

Fm is the applied force

Ff is the frictional force

m is the mass

a is the acceleration

Substitute the given values

40N - nmg = 10a

40 - 0.2(10)(9.8) = 10a

40 - 19.6 = 10a

20.4 = 10a

a = 20.4/10

a = 2.04m/s²

Hence the acceleration of the object is 2.04m/s²

What is specific heat?

Answers

Specific heat, ratio of the quantity of heat required to raise the temperature of a body one degree to that required to raise the temperature of an equal mass of water one degree.

Answer:

Specific heat is defined by the amount of heat needed to raise the temperature of 1 gram of a substance 1 degree Celsius (°C). Water has a high specific heat capacity which we'll refer to as simply "heat capacity", meaning it takes more energy to increase the temperature of water compared to other substances.

Explanation:

Hope this Helps

Please Mark as Brainliest

:)

Jeremy walked at an average rate of speed of 5 km/h. how far had Jeremy walked in 15 minutes?

Answers

Answer:

1 half kilometer is right answer

Well if we know he can walk 5km in one hour (or 60 minutes) we can do ratios,,,

Km : minutes
5 : 60
: 15


We can do 5 divided by 60 multiplied by 15 to get the unknown km

This will give us 5/4 or 1.25

So he can walk 1.25 km in 15 minutes.


Hope this helps! Any questions let me know :)

Emily roller skates with a constant speed
of 8 miles per hour. How far can she travel
in 3 hours? D = SxT

Answers

Answer:

She can travel 24 miles in 3 hours.

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:

What is the momentum of a 8 kilogram cart moving with a speed of 12 meters per
second?

Answers

Answer:

Explanation:

momentum = mv

m = 8 kg

v = 12 m/s

momentum = 8 * 12 = 96 kg m/s

What is the action and reaction if a person takes a step back

Answers

Answer:

action is backward and i guess reaction is sad

This figure shows a
O a. transverse wave
O c. electromagnetic spectrum
Ob. decibel scale
Od compressional wave

Answers

Answer:

transverse i think

Explanation:

It’s a I did this before

Which part of the electromagnetic spectrum is typically used to make images based on the temperatures of objects?

X-rays
radio waves
infrared light
visible light

Answers

Answer:

Which part of the electromagnetic spectrum is typically used to make images based on the temperatures of objects?

X-rays

radio waves

infrared light<<<----- CORRECT

visible light

Explanation:

Edge 2021

Infrared light is typically used to make images based on the temperatures of objects.

What is meant by electromagnetic spectrum?

The range of all EM radiation arranged from high to low frequency (short to long wavelength) according to their frequency or wavelength. is known as the electromagnetic spectrum (EM).

Here,

Similar to visible light, X-rays are a type of electromagnetic radiation. X-rays have a higher energy than light, on the other hand, and can penetrate most materials, including the human body.

Images of inside body tissues and structures are produced using medical x-rays.

Electromagnetic energy in the infrared region of the spectrum can be seen by them. There is a relationship between an object's temperature and the electromagnetic radiation it releases since infrared radiation is strongly related to object temperature.

Hence,

Infrared light is typically used to make images based on the temperatures of objects.

To learn more about electromagnetic spectrum, click:

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1. Find the momentum of an object of mass 5 kg with a velocity of 2 m/s. *
a. 2.5 kg.m/s
O b. 10 kg.m/s
c. 0.25 kg.m/s
d. 20 kg.m/s

Answers

Answer:

10kgm/s

Explanation:

Momentum = Mass * Velocity (both in standard units)

Momentum = 5 * 2 = 10kgm/s

Which force is an attractive force that is affected by the masses of objects?
A) tension force
B) magnetic force
C) normal force
D) gravitational force

Class: Physical Science B

Answers

Answer:

D) gravitational force

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