A force of 250 N is applied to a hydraulic jack piston that is 0.02 m in diameter. If the piston that supports the load has a diameter of 0.15 m, approximately how much mass can be lifted by the jack? Ignore any difference in height between the pistons. A) 250 kg B) 700 kg C) 1400 kg D) 2800 kg E) 5600 kg

Answers

Answer 1

Answer:

C. 1400

Explanation:

The force exerted = f1 = 250

Diameter d1 = 0.02

r1 = d1/2 = 0.01

Diameter d2 = 0.15

r2 = d2/2 = 0.075

The mass of jack to lift

F1/A1 = f2/A2

250/r1² = f2/r2²

250/0.01² = f2/0.075²

When we cross multiply, we will have:

250x0.005625 = 0.0001f2

1.40625 = 0.0001f2

F2 = 1.40625/0.0001

F2 = 14062.5N

Force f = mg

g = 9.81

m = 14062.5/9.81

Mass = 1433Kg

Therefore option c is correct. A mass of 1400kg can be lifted by the jack


Related Questions

A merry-go-round rotates from rest with an angular acceleration of 1.45 rad/s2. How long does it take to rotate through (a) the first 3.70 rev and (b) the next 3.70 rev?

Answers

Answer:

(a) t = 5.66 s

(b) t = 8 s

Explanation:

(a)

Here we will use 2nd equation of motion for angular motion:

θ = ωi t + (1/2)∝t²

where,

θ = Angular Displacement = (3.7 rev)(2π rad/1 rev) = 23.25 rad

ωi = initial angular speed = 0 rad/s

t = time = ?

∝ = angular acceleration = 1.45 rad/s²

Therefore,

23.25 rad = (0 rad/s)(t) + (1/2)(1.45 rad/s²)t²

t² = (23.25 rad)(2)/(1.45 rad/s²)

t = √(32.06 s²)

t = 5.66 s

(b)For next 3.7 rev

θ = ωi t + (1/2)∝t²

where,

θ = Angular Displacement = (3.7 rev + 3.7 rev)(2π rad/1 rev) = 46.5 rad

ωi = initial angular speed = 0 rad/s

t = time = ?

∝ = angular acceleration = 1.45 rad/s²

Therefore,

46.5 rad = (0 rad/s)(t) + (1/2)(1.45 rad/s²)t²

t² = (46.5 rad)(2)/(1.45 rad/s²)

t = √(64.13 s²)

t = 8 s

The time taken in each case is  2.55 s

Let us recall that the equations of circular motion are almost like those of linear motion;

α = ω2 - ω1/t

α = angular acceleration

ω2 = final angular velocity

ω1 = initial angular velocity

t = time taken

a)  1.45 rad/s2 =3.70 rev/s - 0 rev/s/t

t = 3.70 rev/s/1.45 rad/s2

t = 2.55 s

b) For, ) the next 3.70 rev:

1.45 rad/s2 =3.70 rev/s - 0 rev/s/t

t = 3.70 rev/s/1.45 rad/s2

t = 2.55 s

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Water flows with constant speed through a garden hose that goes up to 27.5 cm high. if the water pressure is 132kpa at the bottom of the step, what is its pressure at the top of the step?

Answers

Answer:

The pressure at the top of the step is 129.303 kilopascals.

Explanation:

From Hydrostatics we find that the pressure difference between extremes of the water column is defined by the following formula, which is a particular case of the Bernoulli's Principle ([tex]v_{bottom}\approx v_{top}[/tex]):

[tex]p_{bottom}-p_{top} = \rho\cdot g\cdot \Delta h[/tex] (1)

[tex]p_{bottom}[/tex], [tex]p_{top}[/tex] - Total pressures at the bottom and at the top, measured in pascals.

[tex]\rho[/tex] - Density of the water, measured in kilograms per cubic meter.

[tex]\Delta h[/tex] - Height difference of the step, measured in meters.

If we know that [tex]p_{bottom} = 132000\,Pa[/tex], [tex]\rho = 1000\,\frac{kg}{m^{3}}[/tex], [tex]g = 9.807\,\frac{m}{s^{2}}[/tex] and [tex]\Delta h = 0.275\,m[/tex], then the pressure at the top of the step is:

[tex]p_{top} = p_{bottom}-\rho\cdot g\cdot \Delta h[/tex]

[tex]p_{top} = 132000\,Pa-\left(1000\,\frac{kg}{m^{3}} \right)\cdot \left(9.807\,\frac{m}{s^{2}} \right)\cdot (0.275\,m)[/tex]

[tex]p_{top} = 129303.075\,Pa[/tex]

[tex]p_{top} = 129.303\,kPa[/tex]

The pressure at the top of the step is 129.303 kilopascals.

The pressure of the water at the top of the step is 1.293 x 10⁵ Pa.

The given parameters:

Height of the hose, h = 27.5 cm = 0.275 mPressure of the water at bottom, Pb = 132 kPa

The pressure of the water at the top of the step is calculated as follows;

[tex]P_b - P_t = \rho gh\\\\P_t = P_b - \rho gh[/tex]

where;

[tex]\rho[/tex] is the density of the water

[tex]P_t = (132,000 \ Pa) \ - \ (1000 \times 9.8 \times 0.275)\\\\P_t = 1.293 \times 10^5 \ Pa[/tex]

Thus, the pressure of the water at the top of the step is 1.293 x 10⁵ Pa.

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Which object would be the best insulator of electricity?


a nail
a coin
a can
a rubber band

Answers

Answer:

a rubber band

Explanation:

hope this helps!

Answer:

a rubber band

Explanation:

thank you

Which statement describes how a machine can help make work easier? It can put out more force than the input force by decreasing the distance over which force is applied. It can increase the amount of work performed if the output force is in the same direction as the input force. It can apply a greater output force over a greater distance compared to the input force and distance. It can increase the distance over which output force acts by applying less output force than input force.

Answers

Answer:

It can apply a greater output force over a greater distance compared to the input force and distance.

Explanation:

A machine helps to multiply force input and makes it easier to do work. Simple and complex machines are need to make work easier.

Most machines are designed to increase the input force by a system of mechanics. Machines allow force to be applied over great distances and this allows for the input work done to be duly compensated for.

Answer:

C. It can apply a greater output force over a greater distance compared to the input force and distance.

Explanation:

What statement best describes how wind weathered this rock


The rock slowly moved over time due to the force of the wind.
The shape of the rock changed when the pressure of wind increased.
The rock broke down when the wind blew particles of sand against it.
The rock broke down when the temperature in the air decreased.

Answers

Answer:

the rock breaks down when the wind blows particles of sand against it.

Explanation:

because the sand can easily be decomposed and temperature easily accessible to it cause line of weaknesses of the rock to break down

The intensity of a sound wave at a fixed distance from a speaker vibrating at 1.00 kHz is 0.750 W/m2. (a) Determine the intensity if the frequency is increased to 2.20 kHz while a constant displacement amplitude is maintained.(b) Calculate the intensity if the frequency is reduced to 0.250 kHz and the displacement amplitude is quadrupled.

Answers

Answer:

a)   I = 3.63 W / m² , b)   I = 0.750 W / m²

Explanation:

The intensity of a sound wave is given by the relation

         I = P / A = ½ ρ v (2π f [tex]s_{max}[/tex])²

         I = (½ ρ v 4π² s_{max}²) f²

a) with the initial condition let's call the intensity Io

        cte = (½ ρ v 4π² s_{max}²)

         I₀ = cte s² f₀²

        I₀ = cte 10 6

If frequency is increase f = 2.20 10³ Hz

         I = constant (2.20 10³) 2

         I = cte 4.84 10⁶

let's find the relationship of the two quantities

        I / Io = 4.84

        I = 4.84 Io

        I = 4.84 0.750

        I = 3.63 W / m²

b) in this case the frequency is reduced to f = 0.250 10³ Hz and the displacement s = 4 s or

        I = cte (f s)²

        I = constant (0.250 10³ 4)²

 

        I = cte 1 10⁶

         

the relationship

        I / Io = 1

        I = Io

        I = 0.750 W / m²

A small object with momentum 7.0 kg∙m/s approaches head-on a large object at rest. The small object bounces straight back with a momentum of magnitude 4.0 kg∙ m/s. What is the magnitude of the large object's momentum change?

Answers

Answer:

The magnitude of the large object's momentum change is 3 kilogram-meters per second.

Explanation:

Under the assumption that no external forces are exerted on both the small object and the big object, whose situation is described by the Principle of Momentum Conservation:

[tex]p_{S,1}+p_{B,1} = p_{S,2}+p_{B,2}[/tex] (1)

Where:

[tex]p_{S,1}[/tex], [tex]p_{S,2}[/tex] - Initial and final momemtums of the small object, measured in kilogram-meters per second.

[tex]p_{B,1}[/tex], [tex]p_{B,2}[/tex] - Initial and final momentums of the big object, measured in kilogram-meters per second.

If we know that [tex]p_{S,1} = 7\,\frac{kg\cdot m}{s}[/tex], [tex]p_{B,1} = 0\,\frac{kg\cdot m}{s}[/tex] and [tex]p_{S, 2} = 4\,\frac{kg\cdot m}{s}[/tex], then the final momentum of the big object is:

[tex]7\,\frac{kg\cdot m}{s} + 0\,\frac{kg\cdot m}{s} = 4\,\frac{kg\cdot m}{s}+p_{B,2}[/tex]

[tex]p_{B,2} = 3\,\frac{kg\cdot m}{s}[/tex]

The magnitude of the large object's momentum change is:

[tex]p_{B,2}-p_{B,1} = 3\,\frac{kg\cdot m}{s}-0\,\frac{kg\cdot m}{s}[/tex]

[tex]p_{B,2}-p_{B,1} = 3\,\frac{kg\cdot m}{s}[/tex]

The magnitude of the large object's momentum change is 3 kilogram-meters per second.

A 7.5 Kg cannon ball leaves a canon with a speed of 185 meters per second. Find the average net force applied to the ball is the canon muzzle is 3.6 meters long

Answers

Answer:

F = 35651 [N]

Explanation:

To solve this problem we must use the following equation of kinematics

[tex]v_{f} ^{2} =v_{o} ^{2} +2*a*x[/tex]

where:

Vf = final velocity = 185 [m/s]

Vo = initial velocity = 0 (starts from the rest)

a = acceleration [m/s²]

x = distance = 3.6 [m]

Now we can find the acceleration.

185² = 0 + 2*a*3.6

34225 = 7.2*a

a = 4753.47 [m/s²]

Now we must use Newton's second law which tells us that the total force on a body is equal to the product of mass by acceleration.

F = m*a

where:

m = mass = 7.5 [kg]

F = force [N] (units of Newtons)

F = 7.5*4753.47

F = 35651 [N]

If a feather and an iron bar were fired at the same height in a room without any air resistance, which would fall first and why?

Answers

they would both fall at the same time and same rate because they will both have the same acceleration- 9.81 acceleration due to gravity

What is the purpose of using an ammeter to demonstrate that a moving
magnet causes an electric current to flow in a wire coil?
A. It detects any current in the wire.
B. It protects the investigators from receiving an electric shock.
C. It increases the strength of the permanent magnet.
D. It takes the place of the battery needed for an electromagnet.

Answers

Answer: A

Explanation:

Answer:

The answer is A. It detects any current in the wire.

Explanation:

I took the quiz.

Which best describes the surface of a concave mirror?
O It is flat.
0 It is textured.
Olt curves outward.
0 It curves inward.

Answers

Answer:

It curves inward

Explanation:

Of the choices given it is the only one that makes sense

Considering the concave mirror to be a part of a large sphere and the outer surface polished, we can say it curves inward.

Concave mirror:

There are three types of mirrors: plain mirrors, convex mirrors, and concave mirrors.

The plain mirrors are the ones which we use in our houses. It has both the sides flat, front and back. With the back end polished to reflect light.

It is obvious that the back end of the mirror must be silvered or polished in order to reflect light.

In the case of concave mirrors, if we consider it a part of a large sphere, then the outer surface is silvered or polished and the inner surface is the surface that is used as a mirror,

So, we can say that a concave mirror curves inward.

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If a 6 volt battery is connected in series to resistances of 2 ohms, 8 ohms, and 14 ohms, what is the amount of the current that is flowing?

Answers

Answer:

I = 0.25 [amp]

Explanation:

To solve this problem we must use ohm's law which tells us that the voltage is equal to the product of the current by the resistance.

V = I*R

where:

V = voltage [Volt]

I = amperage or current [amp]

R = resistance [ohm]

Since all resistors are connected in series, the total resistance will be equal to the arithmetic sum of all resistors.

Rt = 2 + 8 + 14

Rt = 24 [ohm]

Now clearing I for amperage

I = V/Rt

I = 6/24

I = 0.25 [amp]

Answer: 0.25

Explanation:

A marble is dropped from rest and falls for 2.3 seconds. Find its final velocity.

Answers

Answer:

23 m/s downward

__________________________________________________________

Taking the downward direction as positive

We are given:

Initial velocity of the marble (u) = 0 m/s

Time interval (t) = 2.3 seconds

Final velocity (v) = x m/s

Solving for the Final velocity:

Acceleration of the Marble:

We know that gravity will make the marble accelerate at a constant acceleration of 10 m/s

Final velocity:

v = u + at                                              [First equation of motion]

x = 0 + (10)(2.3)                                    [replacing the given values]

x = 23 m/s

Hence, after 2.3 seconds, the marble will move at a velocity of 23 m/s in the downward direction

According to the scientific theory of atoms, which of the following statements best describes the location of electrons ?

Answers

Answer:

According to the scientific theory of atoms, which of the following statements best describes the location of electrons? answer choices. in the nucleus of the atom.

Explanation:

Answer: D

Explanation: trust me

Can someone let me know if I got these questions right please

Answers

The first one is wrong, it’s 3, second one is correct, and I’m not sure about the last one, I think you are correct

A cart is pulled by a force of 250 N at an angle of 35° above the horizontal. The cart accelerates at 1.4 m/s2. The free-body diagram shows the forces acting on the cart.

A free body diagram with 3 force vectors. The first vector is pointing downward, labeled F Subscript g Baseline. The second vector is pointing up, labeled F Subscript N Baseline. The third vector is pointing up to the right at an angle of 35 degrees, labeled F Subscript p Baseline = 250 N. The up and down vectors are the same length.

The mass of the cart, to the nearest whole number, is

Answers

Answer:

m=146.277kg which is rounded to 146kg

Explanation:

Remember that F=ma

But F represents not 250N, but 250cos(35)N since the force is being pulled above the horizontal.

So 250cos(35)=204.7880111 approximately, and since a=1.4m/s^2, we have 204.7880111=m(1.4m/s^2). Then we divide both sides by the acceleration to get the mass. So m=146.2771508kg which the nearest number is 146kg

Mass is always in kg, unless stated otherwise.

Answer:

146kg

Explanation:

right on edge

3). If you record a light wave at 400 nm long, what is its frequency?
Pleassee helppp!!

Answers

Answer:

Violet light has a wavelength of ~400 nm, and a frequency of ~7.5*1014 Hz.

Explanation:

A 45 N brick is suspended by a light string over a 2.0 kg pulley. Initially, the pulley is prevented from rotating. The pulley is then released from rest. What is the angular speed of the pulley at the instant it has rotated through 5 radians. The pulley may be considered a solid disk of radius 1.5 m. What is the angular speed of the pulley? I know the answer is 7.33 rad/s but i need to know how they got to this answer.

Answers

Answer: 17.3rad/secs.

Explanation:

Given data:

m = 2.0kg

f = 45N

radius of the disk = 1.5m

Solution:

First we determine the kinetic energy of the the system

= 1/2jw^2 + 1/2m(wR)^2

when the brick falls at wR m/s

= 1/2( j + mR^2)w^2

= 1/2 (1/2MR^2 + mR^2)w^2

Loss in potential energy when the brick drops

= 5rad * 1.5m

= 7.5m

Therefore;

45N * 7.5m = 1/2Iw^2

where;

I = 1/2mr^2

angular speed

w = √4*45*7.5/(2*1.5^2)

= 17.3rad/secs

MY weenie hurts ;( pls help am so sad ;(((((((((

Answers

Answer:

What??? maybe not keep doing what you are doing.

Explanation:

I don't know

whatdidhesayyyyyyyyyyyyyyy

Sara goes to her apartment on the fifth floor by elevator from
the ground floor. The whole journey is 18.0 meters. If Sara hasmass 60 kg, what is the gravitational potential energy gained
by her? Estimate gas 9.81m/s2.

Answers

Answer: 10595 J

Explanation: cK-12 Potential Energy

The gravitational potential energy gained by Sara if she has a mass of 60 kg and the distance of the journey is 18 meters is 10584 Joules.

What is gravitational potential energy?

The potential energy that a huge item has in relation to another massive object due to gravity is known as gravitational energy or gravitational potential energy. When two objects descend toward one another, the potential energy associated with the gravitational field is released (transformed into kinetic energy). Bringing two things farther apart increases the gravitational potential energy.

Given:

The distance of the journey, d = 18 meters,

The mass of Sara, m = 60 kg,

Calculate the potential energy by the following formula,

PE = m × g × d

Here, PE is the potential energy and g is gravitational acceleration,

Substitute the values,

PE = 60 × 18 × 9.8

PE = 10584 Joules

Therefore, the gravitational potential energy gained by Sara if she has a mass of 60 kg and the distance of the journey is 18 meters is 10584 joules.

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Can someone help quickly please and thank you

Answers

Answer:

I think D??

Explanation:

a car accelerates from rest to a speed of 36 km/hour in 10 seconds. find
the acceleration
the distance travelled
the speed at the end of the 5th second

Answers

Answer: ok, so there should be no speed at the 5th second but there was somehow it was the car fault

∞ω∞

Determine the density of a sphere with a diameter of 4.50 cm and m = 250 g. Express the most realistic result possible, with 2 decimal numbers next to the unit of measurement

Answers

Answer: Counting is the only type of measurement that is free from uncertainty, provided the number of objects being counted does not change while the counting process is underway.
PLEASE MARK ME AS BRAINLIEST! Hope this helped!

A freely falling object near the Earth's surface has a constant?
acceleration of 1.0 m/s
acceleration of 9.8 m/s
velocity of 1.0 m/s
velocity of 9.8 m/s

Answers

Answer:

answer is B (CROWN ME)

Explanation:

One should revise his/ her research questions very well in the week before the exam. They should contribute at least 15-20 hours for going through these questions in that particular week. They must put some extra efforts on weekends.

A freely falling object near the Earth's surface has a constant: B. acceleration of 9.8 [tex]m/s^2[/tex].

Gravity can be defined as a force that controls the movement of the planets such as Earth around the Sun, hold stars grouped in galaxies together, and galaxies grouped in clusters.  This ultimately implies that, gravity is a universal force of attraction that acts between all objects that are having both mass and energy, and can occupy space.

Furthermore, the gravity near the Earth's surface makes it possible for all physical objects to possess weight and experience a free fall.

Generally, the acceleration due to gravity for an object experiencing a free fall near the Earth's surface is 9.8 [tex]m/s^2[/tex].

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In central Texas there is a large domed hill of pink granite surronund by low hills of more common bedrock of Texas, limestone. Develop and explain your hypothesis for how this mineral dome was formed.

Answers

Answer:

It was probably formed by when the particles were pressed together.

Explanation:

Answer:

Formed by particles pressed against each other

Explanation:

If the population of penguins increased, then this would have a direct effect on the populations of?

Answers

Answer:

Globel warming

Explanation:

hope this helpex

Which statement best explains why running on a track with constant speed at 3m/s is not work but climbing a mountain at 1m/s is work?
1. At constant speed, change in the kinetic energy is zero but climbing a mountain produces change in the potential energy
2. At constant speed, change in the potential energy is zero, but climbing a mountain produces change in the kinetic energy.
3. At constant speed, change in the kinetic energy is finite, but climbing a mountain produces no change in the potential energy.
4. At constant speed, change in the potential energy is finite, but climbing a mountain produces no change in the kinetic energy.

Answers

Answer:

1. At constant speed, change in the kinetic energy is zero but climbing a    mountain produces change in the potential energy

Explanation:

According to work-energy theorem, work done in moving an object from one point to another is equal to change in mechanical energy ( kinetic energy or potential energy ) of the object.

Kinetic energy is given by;

K.E = ¹/₂m(Δv)²

where;

Δv is change in speed

at constant speed, Δv = 0

Potential energy is given by;

P.E = mgΔh

where;

Δh is change in height,

there is change in height in climbing a mountain

Therefore, the best explanation in the given options is "1".

"At constant speed, change in the kinetic energy is zero but climbing a mountain produces change in the potential energy"

What is the area around an object that can attract or repel other objects in that area?

A - field
B - force
C - fission
D - friction

Answers

Answer:

A

Explanation:

I got it right with that :>

explain the flow of energy needed to bring electrical energy to the city

Answers

To produce an electric current, three things are needed: a supply of electric charges (electrons) which are free to flow, some form of push to move the charges through the circuit and a pathway to carry the charges.

Three elements are required to create an electric current: a supply of freely flowing electric charges (electrons), some kind of push to move the charges across the circuit, and a path to carry the charges.

What is Electrical energy?

Electrical energy is a type of energy that is related to forces on electrically charged particles and electrically charged particle motion (often electrons in wires, but not always). Electric current and electric potential, which is also known as voltage because it is measured in volts, are delivered via an electrical circuit to provide this energy.

When charged particles and a voltage difference combine, as in static electricity or a charged capacitor, motion (current) is not necessary. Instead, the moving electrical energy is often transformed into another kind of energy.

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5) True or False: Inertia is the ability for an object to keep its motion
O True
O False

Answers

Answer:

true

Explanation:

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