A cylinder hydraulic press has a small piston with a diameter of 3 m, and the diameter of the large piston is unknown. Suppose a force of 800 N is applied onto the small piston to lift the 250 kg load. The hydraulic press follows Pascal principle.Calculate the diameter of the large piston and estimate the force needed if additional load of 50 kg is added.

Answer:

10N to the left side towards you

Explanation:

The net force is the resultant force that acts on a body.

Force is a push or pull on a body.    

 Push to left side  = 25N

 Pull to the right  = 15N

Net force  = Push to left side   -  Pull to the right  = 25N  - 15N

 Net force  = 10N to the left side towards you

The net force is therefore 10N to the left side towards you

The specific heat capacity of the metal, given that 27.777 g of water at 22.1 °C was mixed with the metal is 9.7×10⁻² Cal/gºC

Step 1: Obtain the heat absorbed by the water. This is shown below:

Q = MCΔT

= 27.777 × 1 × 7.2

= 199.9944 Cal

Step 2: Determine the specific heat capacity of the metal using the heat absorbed by the water. Details below:

Q = MCΔT

-199.9944 = 29.292 × C × -70.6

-199.9944 = -2068.0152 × C

Divide both sides by -2068.0152

C = -199.9944 / -2068.0152

= 9.7×10⁻² Cal/gºC

Thus, the specific heat capacity of the metal is 9.7×10⁻² Cal/gºC. None of the options are correct.

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Given that,

Charge = 16 nC

Mass = 33 g

Distance = 27 cm

We need to calculate the acceleration

Using formula of electrostatic force

\(F=\dfrac{kqQ}{r^2}\)

\(ma=\dfrac{kq^2}{r^2}\)

Put the value into the formula

\(33\times10^{-3}\times a=\dfrac{9\times10^{9}\times(16\times10^{-9})^2}{(27\times10^{-2})^2}\)

\(a=\dfrac{9\times10^{9}\times(16\times10^{-9})^2}{(27\times10^{-2})^2\times33\times10^{-3}}\)

\(a=0.0009577\ m/s^2\)

\(a=9.577\times10^{-4}\ m/s^2\)

We need to calculate the speed of charge

Using equation of motion

\(v^2=u^2+2as\)

Where, v= speed

u = initial speed

a = acceleration

s = distance

\(v^2=0+2\times9.577\times10^{-4}\times16\times10^{-2}\)

\(v=\sqrt{0+2\times9.577\times10^{-4}\times16\times10^{-2}}\)

\(v=0.0175\ m/s\)

Hence, The speed of the charge is 0.0175 m

Answer:

For a given system, there can be particular transformations for which the explicit equations of motion are the same for both the old and new variables. Transformations for which the equations of motion are invariant, are called invariant transformations. It will be shown that if the Lagrangian does not explicitly contain a particular coordinate of displacement  qi, then the corresponding conjugate momentum,  pi, is conserved. This relation is called Noether’s theorem which states “For each symmetry of the Lagrangian, there is a conserved quantity".

To car 1, car 2's relative velocity is 20+30 to the north. Since car 1 is moving 20mph south, the world around it is moving 20mph north, and since car 2 is heading 30mph north, that gets added to the 20mph frame of reference for car 1.

Answer: 50mph north

Probability that mean of a sample of 36 observations, taken at random from this population, is less than 78 is approximately 0.9332.

According to the Central Limit Theorem, sampling distribution of mean will be approximately normal, regardless of shape of population, as long as the sample size is sufficiently large.

The formula for standard error :

SE = σ/√n

where σ is the population standard deviation, n is sample size.

SE = 12/√36 = 2

Finding the z-score for a sample mean of 78:

z = (x - μ) / SE = (78 - 75) / 2 = 1.5

Using a standard normal distribution table or calculator, Probability of getting a z-score less than 1.5 is  0.9332.

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Weight is compared with the gravitational force exerted on each of them by the Earth.

Newton's law of gravity states that each particle having mass in the universe attracts each other particle with a force known as the gravitational force.

The gravitational force is proportional to the product of the masses of the two bodies and inversely proportional to the square of their distance.

When mass increases and distance reduces, gravity rises. Gravity also lowers when the distance between two points grows and the mass decreases.

The gravitational force is balanced by weight;

\(\rm F = W \\\\ G\frac{mM}{r^2} =mg\)

Hence, weight is compared with the gravitational force exerted on each of them by the Earth.

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Answer:

there are 1,000m in a km, so 200km is 200,000m

200,000m/10m/s = 20,000s

Explanation:

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Adding globes in parallel makes no difference to their brightness because all the bulbs glowed with the same brightness indicating that the current flowing through the bulbs had the same value.

The current in each light bulb was the same.

An electric current is a flow of electrons as a result of a potential difference between two points in conductor.

Electrons are negatively-charged particles that are one of the fundamental particles of an atom. The flow of electrons through a conductor is able to do work.

Two or more globes in a simple parallel circuit do not experience any drop in the voltage, thus allowing the maximum flow of electric current. Also, connecting devices in a parallel circuit ensures that if one of the component lops is disconnected, the flow of current through the other loops remains intact.

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Answer:

Because they both hold the heat

Answer:

E = 1.89 eV ,   E = 2.56 eV ,  E = 2.86 eV

Explanation:

The emission of light in the visible range, explained by the Balmer series with expression

            1 /λ= \(R_{H}\) (1/2² - 1 / n²)

            n = 3, 4, 5 ...

the constant R_{H} called Rydberg's constant and is equal to 1,097 10⁷ m⁻¹

These transitions are clearly explained by Bohr's atomic model, where the empirical series of Balmer and Rydberg are deduced from a theoretical model of the hydrogen atom in natural form.

Let's calculate the wavelengths for each transition

State

initial   final  λ (10⁻⁷ m)

3           2     6.5634

4           2     4.8617

5           2    4.3408

Let's calculate the energy of each of these wavelengths using Planck's equation

          E = h f = h c /λ

λ = 6.5634 10⁻⁷ m

          E = 6.63 10⁻³⁴ 3 10⁸ / 6.5634 10⁻⁷

          E = 3.03 10⁻¹⁹ J

we reduce to eV

         E = 3.03 10⁻¹⁹ J (1 eV / 1.6 10⁻¹⁹ J)

         E = 1.89 eV

λ = 4.8617 10⁻⁷m

         E = 6.63 10⁻³⁴ 3 10⁸ / 4.8617 10⁻⁷

          E = 4.09 10⁻¹⁹ J

          E = 2.56 eV

λ= 4.3408 10⁻⁷ m

           E = 6.63 10⁻³⁴ 3 10⁸ / 4.3408 10⁻⁷

           E = 4.582 10⁻¹⁹J

           E = 2.86 eV

Machine 1 has the greatest mechanical advantage among the given machines. To determine the machine with the greatest mechanical advantage, we need to calculate the mechanical advantage for each machine.

Machine 1: Mechanical Advantage = Output Force / Input Force = 50 N / 5 N = 10

Machine 2: Mechanical Advantage = Output Force / Input Force = 50 N / 10 N = 5

Machine 3: Mechanical Advantage = Output Force / Input Force = 50 N / 25 N = 2

Machine 4: Mechanical Advantage = Output Force / Input Force = 50 N / 50 N = 1

Comparing the mechanical advantages, we can see that Machine 1 has the highest mechanical advantage of 10. This means that Machine 1 can multiply the input force by 10 to produce the output force. It provides the greatest amplification of force among the four machines.

Machine 2 has a mechanical advantage of 5, Machine 3 has a mechanical advantage of 2, and Machine 4 has a mechanical advantage of 1. Therefore, Machine 1 has the greatest mechanical advantage among the given machines.

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Answer:

a) 3170 kw

b) 377 km^2

Explanation:

Estimate of electric power

a) Given :

Average power consumption for a family of 3 = 108.4 * 106 BTU per year  =  0.0317 kw = 31.7 watts

The power requirement for a city of 300000 people

= 31.7 watts * 100000 = 3170000 watts = 3170 kw

b) Given :

Average solar panel insulation = 8.4 W /m^2

Estimate the area of silicon solar cells required to satisfy community power requirement

= (1 * 3170) * (1000/8.4 )

= 377.380 * 10^3 m2 = 377 km^2

Answer:

it will take 4 seconds to travel 2 meters.

The mass of copper heated from a temperature of 27°C to 95°C is 45.72 g.

Mass is the quantity of matter contained in a body, The units of mass are

To calculate the mass of the copper, we use the formula below.

Formula:

From the question,

Given:

From the question,

Given:

Substitute these values into equation 1

Hence, the mass of copper is 45.72 g.

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Answer:

V(c)' = 0.325 m/s

V(a)' = 2.19375 m/s

V(b)'' = 0.73125

Explanation:

See attachment for explanation.

(a)His final speed is 7.43m/s.

(b)Distance traveled by the sprinter is 2.98m.

(a) To find the final speed of the sprinter, we can use the formula for acceleration:

a = F/m

Where F is the force exerted, m is the mass of the sprinter, and a is the acceleration. Plugging in the given values:

a = 650 N / 70.0 kg

a = 9.29 m/s²

Now we can use the formula for final speed:

v = a*t

Where v is the final speed, a is the acceleration, and t is the time. Plugging in the values:

v = 9.29 m/s² * 0.800 s

v = 7.43 m/s

So the final speed of the sprinter is 7.43 m/s.

(b) To find the distance traveled by the sprinter, we can use the formula for distance:

d = 0.5*a*t²

Where d is the distance, a is the acceleration, and t is the time. Plugging in the values:

d = 0.5 * 9.29 m/s² * (0.800 s)²

d = 2.98 m

So the sprinter travels 2.98 m in the first 0.800 s of the race.

Therefore when a 70.0-kg sprinter exerts an average force of 650 N backward on the ground for 0.800 s, his final speed =7.43m/s, and the distance traveled by the sprinter =2.98m.

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Answer:

7 mL

Explanation:

Given that:

mass of an oral solution = 500 mg

solution in mL = 5mL

Thus, the ratio = 5 mL/500 mg

= 0.01 mL/mg

since 1000 mg = 1g

∴

= 0.01 mL/mg × 1000 mg/1g

= 10 mL/g

Now, suppose the amount of 0.7 g dosage is required:

∴

the needed amount of mL will be:

= 10 mL/g × 0.7 g

= 7 mL

If the acceleration is constant, the angle through which the turntable rotates in the 5 s is 25 rad.

The meter per second squared (m/s2) is the measurement of acceleration. Definition. The newton is the unit of force responsible for producing an acceleration of one meter per second squared when applied to a mass of one kilogram.

A particle's acceleration is the rate at which its velocity changes over time. Constant acceleration is the term used when a particle's velocity changes at a fixed pace.

Initial velocity of the turntable ω_o = 6.0 rad/s

Final velocity  ω = 0 rad/s

Stopping time (t) = 5

Angular acceleration:

ω = ω_o +αt

0 = (6 rad/s)+α*5 s

α = -- 1.2 rad/s^2

Angular displacement:

θ =\(\omega_ot+\frac{1}{2} \alpha t^2\)

\(\theta=(8 rad/s)*(5s)+\frac{1}{2} (-1.2 rad/s^2)(5s)^2\)

\(\theta=40-15\)

\(\theta=25\) rad

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Answer:

B. 0.45

Explanation:

You just need to plug this into a calculator.

The value added by the baker is $3. The bread's contribution to GDP is the final sale price of the bread, which is $6

In this scenario, each person involved in the production and sale of the bread adds value to the final product. The concept of value added refers to the increase in the market value of a product at each stage of production.

The farmer grows the wheat and sells it for $1. The value added by the farmer is $1.

The miller processes the wheat into flour, increasing its value. The miller sells the flour to the baker for $3, so the value added by the miller is $3 - $1 = $2.

The baker uses the flour to make bread, further adding value to the product. The baker sells the bread to the engineer for $6, so the value added by the baker is $6 - $3 = $3.

The engineer consumes the bread, but since no further economic value is added, there is no additional value added by the engineer.

The bread's contribution to GDP (Gross Domestic Product) is the final sale price of the bread, which is $6. GDP measures the total value of all goods and services produced within a country's borders, and the sale of the bread represents the final output of the production chain.

Overall, the value added at each stage contributes to the final price of the bread, and the final sale price of the bread represents its contribution to GDP.

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The way in which one atom interacts with another atom is mostly influenced by the configuration of the electrons farthest from the nucleus.

Option A.

An atom can be defined as the smallest part of a substance that cannot be broken down chemically. Each atom has a nucleus (center) made up of protons (positive particles) and neutrons (particles with no charge).

The arrangement of electrons in orbitals and shells around the nucleus is referred to as the electronic configuration of the atom.

Thus, we can conclude that the way in which one atom interacts with another atom is mostly influenced by the configuration of the electrons farthest from the nucleus.

The remaining options do not fit the empty space properly, and they include;

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As the springs reaches its ideal lenght, or the point at when all of the energy held as in spring is released to kinetic energy, the block goes at its fastest rate. As the item begin at zero, Ki = 0. Due to a lack of friction, Wnc = 0.

The fastest a person can go is regarded to be at max velocity. Athletes can alter their motion's magnitude (how quickly they are running), direction, or both in order to change its acceleration when velocity has a magnitude and a direction connected with it.

The block travels at a velocity of one m/s before to impacting the spring. The spring does have a constant of 1 N/m, and the weight of the block is 1 kg. The power that has been transmitted to and stored in the springtime is represented by this work. The velocity of the slowing blocks is what provides the energy.

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Answer:

Choice 2: 6/17

Explanation:

4+7=11. 6+11= 17. so it's 6/17

The peak wavelength of a neutron star's luminosity if its temperature 10⁷ K is equal to 0.2898 nm.

Wien's displacement law can be described as the black-body radiation curve for various temperatures that will peak at different wavelengths. These wavelengths of radiation are inversely proportional to their temperature.

The shift of that peak is described by the Planck radiation law, which states that the intensity of black-body radiation is a function of wavelength at a given temperature.

The peak wavelength at a given temperature can be calculated from the formula as follows:

\(\lambda_{peak}=\frac{2.898\times 10^{-3}m.K}{T}\)

Given the temperature of a neutron star's luminosity, T = 10⁷K

Substitute the value of temperature in the above formula:

\(\lambda_{peak}=\frac{2.898\times 10^{-3}m.K}{10^7K}\)

\(\lambda_{peak} = 0.2898\; nm\)

Therefore, the peak wavelength of the given star is 0.2898 nm.

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The graph below shows the motion of a person leaving theater, line segment C represent : The person is moving away from the theater.

In physics, motion is a change with time of the position or orientation of a body. Motion along a line or a curve is called as translation whereas motion that changes orientation of a body is called rotation.

Motion is a change in position of an object over the  time and is described in terms of displacement, distance, velocity, acceleration, time and speed.

Change in position of a body with time when compared with another body is known as  motion.

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Answer:

false?

Explanation:

The higher the modulus, the more stress is needed to create the same amount of strain; an idealized rigid body would have an infinite Young's modulus.

Answer:

I think the answer is False.