An astronaut on another planet drops a 1-kg rock from rest. The astronaut notices that the rock falls 2 meters straight down in one second. On this planet, how much does the rock weigh

Answers

Answer 1

The weight of the rock is 9.81 N

Mass of the rock = 1 kg

Height fallen by rock = 2 meters

Time taken by the rock to fall = 1 second

Falling objects always accelerate downwards at a rate of 9.81 m/s² (metres per second squared).

In this scenario, the rock is falling downwards due to the planet's gravitational force.

Therefore, acceleration, a = g = 9.81 m/s²

As we know that,  force (weight of the rock),

F = mass x acceleration

Thus, weight of the rock,

F = m x g

  = 1 kg x 9.81 m/s²

  = 9.81 N

Therefore, weight of the rock is 9.81 N

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Related Questions

In a calorimetry experiment, it was determined that the heat change of the surroundings (qsurroundings) was 4482 j. what is the heat change of the system (qsystem)?

Answers

The heat of the surroundings is  - 4482 J.

What is the heat change of the system (qsystem)?

A calorimeter is a device in which that is no exchange of heat between the device and the environment. In other words, there could only be exchange of heat when the a substance has been put inside the calorimeter.

We know that in a calorimeter;

Heat of the surrounding =  Heat of the system

That implies that they are of the same magnitude but of opposite direction hence the heat of the system is - 4482 J.

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A parallel-plate capacitor has square plates that are 7.40 cm on each side and 3.20 mm apart. The space between the plates is completely filled with two square slabs of dielectric, each 7.40 cm on a side and 1.60 mm thick. One slab is Pyrex glass and the other slab is polystyrene. If the potential difference between the plates is 84.0 V, find how much electrical energy (in nJ) can be stored in this capacitor.

Answers

Answer:

The energy that can be stored in the capacitor is 239 nJ

Explanation:

We first calculate the capacitance of each material. Let C₁ be the capacitance of pyrex glass and C₂ be the capacitance of polystyrene.

C₁ = κ₁ε₀A/d where κ₁ = dielectric constant of pyrex glass = 5, A = area of plates = L² where L = length of square plate = 7.40 cm = 7.40 × 10⁻² m and d = thickness of pyrex slab = 1.60 mm = 1.60 × 10⁻³ m and ε₀ = permittivity of free space = 8.854 × 10⁻¹² F/m

C₁ = κ₁ε₀A/d = κ₁ε₀L²/d = 5 × 8.854 × 10⁻¹² F/m × (7.40 × 10⁻² m)²/1.60 × 10⁻³ m = 2424.2252/1.60 × 10⁻¹¹ F = 1515.14 × 10⁻¹¹ F = 15.2 × 10⁻⁹ F = 15.2 nF

C₂ = κ₂ε₀A/d where κ₂ = dielectric constant of polystyrene = 3, A = area of plates = L² where L = length of square plate = 7.40 cm = 7.40 × 10⁻² m and d = thickness of polystyrene slab = 1.60 mm = 1.60 × 10⁻³ m and ε₀ = permittivity of free space = 8.854 × 10⁻¹² F/m

C₁ = κ₁ε₀A/d = κ₁ε₀L²/d = 3 × 8.854 × 10⁻¹² F/m × (7.40 × 10⁻² m)²/1.60 × 10⁻³ m = 1454.5351/1.60 × 10⁻¹¹ F = 909.08 × 10⁻¹¹ F = 9.09 × 10⁻⁹ F = 9.09 nF

Since the capacitors are in series, we find their effective capacitance C from

1/C = 1/C₁ + 1/C₂

C = C₁C₂/(C₁ + C₂)

= 15.2 × 10⁻⁹ F × 9.09 × 10⁻⁹ F/(15.2 × 10⁻⁹ F + 9.09 × 10⁻⁹ F)

= 138.168 × 10⁻¹⁸/24.29 × 10⁻⁹ F

= 5.69 × 10⁻⁹ F

The amount of electrical energy stored in a capacitor is given by W = 1/2CV² where C = capacitance and v = voltage applied. Now C = 5.69 × 10⁻⁹ F and V = 84.0 V for this capacitor

So W = 1/2 × 5.69 × 10⁻⁹ F × 84.0 V

= 238.98 × 10⁻⁹ J

≅ 239 × 10⁻⁹ J

= 239 nJ

So the energy that can be stored in the capacitor is 239 nJ

an amperian loop of length 14 cm is drawn so that it is always parallel to the magnetic field. the strength of the magnetic field is also constant on the path, at 0.88 t. what is the current enclosed?

Answers

An amperian loop of length 14 cm is drawn so that it is always parallel to the magnetic field. the strength of the magnetic field is also constant on the path, at 0.88 t. The current enclosed by the Amperian loop is approximately 98 Amperes.

To determine the current enclosed by the Amperian loop, we can use Ampere's law, which states that the line integral of the magnetic field along a closed loop is equal to the product of the permeability of free space (μ₀) and the current enclosed by the loop. Mathematically, it can be represented as:

∮ B · dl = μ₀ * \(I_e_n_c_l_o_s_e_d\),

where ∮ B · dl is the line integral of the magnetic field B along the loop, μ₀ is the permeability of free space (μ₀ = 4π × 10\(^(^-^7^)^\) T·m/A), and \(I_e_n_c_l_o_s_e_d\)is the current enclosed by the loop.

In this case, the Amperian loop is always parallel to the magnetic field, which means that the angle between the magnetic field and the infinitesimal length dl along the loop is 0 degrees. Therefore, the line integral simplifies to:

∮ B · dl = B * ∮ dl = B * L,

where B is the magnitude of the magnetic field and L is the length of the loop.

Given that the length of the loop (L) is 14 cm = 0.14 m and the magnetic field strength (B) is 0.88 T, we can substitute these values into the equation:

B * L = μ₀ * \(I_e_n_c_l_o_s_e_d\).

0.88 T * 0.14 m = 4π × 10\(^(^-^7^)^\)T·m/A * \(I_e_n_c_l_o_s_e_d\).

0.1232 T·m = 1.2566 × 10\(10^(^-^6^)\)T·m/A * \(I_e_n_c_l_o_s_e_d\).

Simplifying the equation:

\(I_e_n_c_l_o_s_e_d\) = (0.1232 T·m) / (1.2566 ×\(10^(^-^6^)\) T·m/A).

\(I_e_n_c_l_o_s_e_d\)≈ 98 A.

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A student puts a piece of black paper and a piece of white paper in the same sunny spot. After 30 minutes, she observes that the black paper feels warmer than the white paper. Which best explains the student’s observation?(1 point)


The black paper reflects more waves from the sun than the white paper.


The black paper prevents waves from the sun from reaching the white paper.


The black paper receives stronger waves from the sun than the white paper.


The black paper absorbs more waves from the sun than the white paper.

Answers

Answer:

The black paper absorbs more waves from the sun than the white paper.

Explanation:

Black absorbs all colours, whereas other colours reflect some visible light, which causes it to absorb more energy and become hotter. Black items heat up more quickly in sunlight because they absorb radiation rather than reflect it, which is why they appear black.

An atom with 5 protons 6neutrons.and 5 electrons has an atomic mass of_______amu

Answers

Answer:

5 + 6 = 11

You just add the protons and the neutrons and you get the atomic mass

Given a block of wood with a height of 10.0 cm. When placed in water, 9.00 cm of this block's height are above water. What is the density of this block in units of grams/cm^3? A)1 B)10 C)0.9 D)0.1 E)9

Answers

We are given a wooden block that floats in water. The given problem can be exemplified in the following diagram:

To determine the density of the block we need to use the fact that, according to Archimedes principle, the weight of the displaced liquid is equal to the weight of the object, therefore, we have:

\(w_{\text{water}}=w_{\text{block}}\)

Where:

\(\begin{gathered} w_{\text{water}}=\text{ weight of water} \\ w_{\text{block}}=\text{ weight of the block} \end{gathered}\)

The weight is the product of the mass and the acceleration of gravity, therefore, we have:

\(m_{\text{water}}g=m_{\text{block}}g\)\(\begin{gathered} m=\text{ mass} \\ g=\text{ acceleration of gravity} \end{gathered}\)

Now, the mass is the product of the density and the volume, therefore, we have:

\(\rho_{water}m_{water}g=\rho_{block}m_{block}g\)\(\rho=\text{ density}\)

We can cancel out the acceleration of gravity and we get:

\(\rho_{water}V_{water}=\rho_{block}V_{block}\)

Now, the volume of the water is equivalent to the height that is underwater multiplied by the width and the length of the block:

\(\rho_{water}(1cm)(w)(l)=\rho_{block}V_{block}\)

Where:

\(\begin{gathered} w=\text{ width} \\ l=\text{ length} \end{gathered}\)

Also, the volume of the block is the height of the block multiplied by the width and the height:

\(\rho_{water}(1cm)(w)(l)=\rho_{block}(10cm)(w)(l)\)

Now, we cancel out the width and the length

\(\rho_{water}(1cm)=\rho_{block}(10cm)\)

Now, we solve for the density of the block by dividing both sides by 10:

\(\frac{\rho_{water}(1cm)}{10cm}=\rho_{block}\)

The density of water in g/cm^3 is given by:

\(\rho_{water}=1\frac{g}{cm^3}\)

Substituting we get:

\(\frac{(1\frac{g}{cm^3})(1cm)}{10cm}=\rho_{block}\)

Solving we get:

\(\frac{1}{10}\frac{g}{cm^3}=\rho_{block}\)

In decimal form this is:

\(0.1\frac{g}{cm^3}=\rho_{block}\)

Therefore, the density of the block is 0.1 g/cm^3

Given a block of wood with a height of 10.0 cm. When placed in water, 9.00 cm of this block's height

A 15. 0 ampere current flows through a 4. 75 m section of wire, perpendicular to a 0. 250 t magnetic field. what is the magnitude of the force exerted by the field on the wire section?

Answers

Answer:

Approximately \(17.8\; {\rm L}\).

Explanation:

Consider a straight wire section of length \(L\) carrying a current of \(I\). If that wire is placed in a magnetic field of strength \(B\) at an angle of \(\theta\) relative to the field, the magnitude of the magnetic force on this wire would be:

\(F = B\, I\, L\, \sin(\theta)\).

In this question, \(\theta = 90^{\circ}\) since the wire is perpendicular to the magnetic field. The magnitude of the magnetic force on this wire would be:

\(\begin{aligned}F &= B\, I\, L\, \sin(\theta) \\ &= (0.250\; {\rm T}) \, (15.0\; {\rm A}) \, (4.75\; {\rm m})\, (\sin(90^{\circ}) \\ &\approx 17.8\; {\rm N} \end{aligned}\).

1. What is capillary pressure? Difference in pressure across the interface between tuwa imm fuids in de reservoir 2. Expressing capillary pressure in terms of interfacial tension, contact angle, and capillary tube radius, 3. List two types of capillarity, 4. What is capillary hysteresis?

Answers

Capillary pressure refers to the difference in pressure across the interface between two immiscible fluids in a reservoir. There are two types of capillarity: spontaneous imbibition and forced displacement.

Capillary pressure is the pressure difference between two immiscible fluids, such as oil and water, in a porous medium. It arises due to the interfacial tension between the fluids, the contact angle at the fluid interface, and the size of the capillary tubes within the porous medium. The capillary pressure can be calculated using the Young-Laplace equation, which relates the capillary pressure to the interfacial tension, contact angle, and capillary tube radius.

There are two types of capillarity: spontaneous imbibition and forced displacement. Spontaneous imbibition occurs when a wetting fluid displaces a non-wetting fluid in a porous medium due to capillary forces. Forced displacement, on the other hand, involves injecting a fluid into a porous medium to displace another fluid.

Capillary hysteresis refers to the variation in capillary pressure during drainage (when the wetting fluid is being displaced) and imbibition (when the wetting fluid is being absorbed). This hysteresis is caused by the trapping of non-wetting fluids in the porous medium, leading to a difference in capillary pressure depending on the direction of fluid flow.

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A drone traveling horizontally at 100 m/s over flat ground at an elevation of 3000 meters must drop an emergency package on a target on the ground. The trajectory of the package is given by x=100t , y=−4.9t2+3000 ,t≥0 where the origin is the point on the ground directly beneath the drone at the moment of release. How many horizontal meters before the target should the package be released in order to hit the target? Round to the nearest meter.

Answers

Answer:

The package should be dropped 244.7 meters before the target

Explanation:

We need to find how long the package will take to hit the ground then solve for position.

y=0

-4.9t^2=-3000

t= sqrt (3000/4.9)

t= 24.74 seconds.

x= 247.4 meters.

explain the role friction plays in the conservation of energy

Answers

Friction plays a significant role in the conservation of energy by converting mechanical energy into thermal energy.

Friction is a force that opposes the motion or attempted motion of objects in contact. In the context of conservation of energy, friction plays a crucial role by converting mechanical energy into other forms of energy, typically thermal energy.

When an object moves across a surface or through a fluid, friction acts in the opposite direction of the motion. As a result, mechanical energy is dissipated in the form of heat due to the interaction between the surfaces. This conversion of energy from mechanical to thermal is known as frictional heating.

Frictional heating occurs because, at the microscopic level, there are irregularities and roughness on the surfaces in contact. As the object moves, these irregularities interlock, causing resistance and generating heat. The amount of frictional force depends on various factors such as the nature of the surfaces, the force pressing them together, and the roughness of the surfaces.

From the perspective of conservation of energy, friction is considered a non-conservative force. It converts the mechanical energy of an object, which includes both kinetic energy (associated with its motion) and potential energy (associated with its position), into thermal energy. This thermal energy is typically dissipated into the surroundings and cannot be fully recovered as useful work.

In practical situations, friction is almost always present, and it often leads to energy losses. For example, when a car moves on the road, friction between the tires and the road surface causes energy to be converted into heat. This results in decreased fuel efficiency and the need for continuous input of energy to sustain the motion.

Without friction, it would be challenging to walk, drive, or even hold objects. Friction allows us to grip surfaces, maintain stability, and control our movements.

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What is magnetic force??
O A. A force between protons
O B. A force between two poles
O C. A force caused by air particles
O D. A force between objects with mass

Answers

Answer:

I believe it's B.

Explanation:

The force that a magnet exerts on certain materials, including other magnets, is called magnetic force. The force is exerted over a distance and includes forces of attraction and repulsion. North and south poles of two magnets attract each other, while two north poles or two south poles repel each other.

the answer is B, a force between two poles

PLEASE HELP!!!!! 30 POINTS!!!!! I HAVE NO IDEA HOW TO DO THIS!!
Match these items and the phrases with which they are associated.

1. upward force of a liquid on an object
2. H 2 O
3. basic unit of matter
4. amount of matter in an object
5. n = 1
6. l × w × h
7. drew first picture of atom
8. mass/volume


mass,
atom,
water,
buoyancy,
inner shell,
volume,
density,
Neils Bohr,
concrete

Answers

1.) buoyancy
2.) water
3.) atoms
4.)mass
5.) inner shell
6.)volume
7.)neils bohr
8.) density

Two forces are applied to a car in an effort to accelerate it, as shown below. The first force, F1 = 310 N, is applied at an angle = 32° to the forward dashed line. The second force, F2 = 464 N, is applied at an angle = 13° to the forward dashed line.

(a) What is the resultant of these two forces?
______N at _____ ° to the _____

(b) If the car has a mass of 2850 kg, what acceleration does it have? (Disregard friction.)
_____m/s2 at ______ ° to the _____

Two forces are applied to a car in an effort to accelerate it, as shown below. The first force, F1 =

Answers

a ) The resultant of these two forces is 715.92 N at 4.4° to the right of the forward dashed line

b ) If the car has a mass of 2850 kg, its acceleration is 0.25 m / s²

Resolving F1 into its vertical and horizontal component,

F1y = F1 cos θ

F1y = 310 * cos 32°

F1y = 263.5 N

F1x = F1 sin θ

F1x = 310 * sin 32°

F1x = 164.3 N

Resolving F2 into its vertical and horizontal component,

F2y = F2 cos θ

F2y = 464 * cos 13°

F2y = 450.1 N

F2x = F2 sin θ

F2x = 464 * sin 13°

F2x = 106.72 N

∑ Fx = F1x - F2x

∑ Fx = 164.3 - 106.72

∑ Fx = 57.58 N

∑ Fy = F1y + F2y

∑ Fy = 263.5 + 450.1

∑ Fy = 713.6 N

R² = ( ∑ Fx )² + ( ∑ Fy )²

R² = ( 57.58 )² + ( 713.6 )²

R² = 3315.46 + 509224.96

R = 715.92 N

tan θ = ∑ Fy / ∑ Fx

tan θ = 713.6 / 57.58

tan θ = 12.39

θ = 85.6° ( With the horizontal )

With the forward dashed line,

θ = 90 - 85.6

θ = 4.4° ( To the right of the forward dashed line )

F = m a

F = Force

m = Mass

a = Acceleration

m = 2850 Kg

a = F / m

a = 715.92 / 2850

a = 0.25 m / s²

Therefore,

a ) The resultant of these two forces is 715.92 N at 4.4° to the right of the forward dashed line

b ) If the car has a mass of 2850 kg, its acceleration is 0.25 m / s²

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4) Two people are pulling on a chain in opposite directions with forces of 500 N and 600 N. The
forces would best be described as ____.

A) balanced forces
B) unbalanced forces
C) action-reaction forces
D) gravitational forces

Answers

Answer: B) unbalanced forces

Explanation:

        500 N and 600 N are not equal to each other. The two people are also pulling on the chain in opposite directions. Using these given pieces of information, we can decide that the answer is unbalanced forces acting upon the chain.

                 500 N ≠ 600 N

Which term is undefined?
Group of answer choices

point

segment

ray

collinear

Answers

The term which is considered as being undefined is referred to as a point and is therefore denoted as option A in this context.

What is a Point?

This is defined as as small round mark written on a plane which signifies the position or location of a substance. This can also be seen as a dot and is also used to separate a group of numbers such as in the case of decimals etc.

It is referred to as being undefined alongside a plane, line etc as a result of it only being explained using specific examples and descriptions unlike a segment which can be viewed and understood easily when working on the parameter.

This is therefore the reason why a point is undefined and the most appropriate choice.

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If a liquid does not absorb visible light, the liquid would appear?

Answers

If a liquid doesn't absorb visible light, the liquid would appear dark or opaque to us.

The absorption of light, especially visible light, makes an object dark or opaque. To some wavelengths of light, some materials are opaque, but some are transparent to others. Glass, for instance, is opaque to ultraviolet light, but it is transparent to visible light.

Since the liquid does not absorb visible light, to human eyes the liquid would appear dark or opaque. This is because human eyes are only sensitive to visible light. If the dark/opaque liquid actually reflects other lights, we wouldn't know (without the help of technology) since we don't see them.

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What is compact muon solenoid used to study?

Answers

Answer:

this solenoid is used to determine the magnetic field on different places on earth

Explanation:

I'm smart :)

PLEASE ANSWER




Krishne wants to measure the mass and volume of a key. Which tools should she use?



A. a balance and a beaker of water


B. a balance and a meter stick


C. a beaker of water and a ruler


D. a ruler and a meter stick

Answers

Answer:

A balance and a beaker of water!

Explanation:

Krishne wants to measure the mass and volume of a key. The tools that are to be used are – a balance and a beaker of water.

Mass will be represent with the amount of matter that is in an object. This will be measured in terms of kilogram. The mass can easily be measured with balance.

Volume is the quantity of matter that is in the object. This is measured in terms of cubic meter. If you drop the key in a beaker of water, the water inside the beaker will increase and this increases the volume of water that will be equal to volume of key.

a) car is raised off the table to the top of the track. how much total work is done on the car?

b) if the car is released from rest how much potential energy does the car have at the top of the track? how much kinetic energy?

a) car is raised off the table to the top of the track. how much total work is done on the car?b) if

Answers

Answer:

Wtens = (20 N) * (5 m) * cos (0 deg) = +100 Joules

Wgrav = (20 N) * (5 m) * cos (180 deg) = -100 Joules

Wapp= (10 N) * (5 m) *cos (0 degrees) = +50 Joules

Wfrict =(10 N) * (5 m) * cos (180 degrees) = -50 Joules

Wapp = (10 N) * (5 m) * cos (0 deg) = +50 Joules

Wfrict = (10 N) * (5 m) * cos (180 deg) = -50 Joules

Explanation:

Apply the work equation to determine the amount of work done by the applied force in each of the three situations described below.

Which of Newton's laws of motion describes the motion of an object that has a net
force of ON?

Answers

Newton's first and second laws of motion both do, but I think the one you're looking for is: The First Law of Motion.  That description is a little more direct.

It says that if an object is not acted on by a net external force, then it continues in "constant, uniform motion".

Because of a frictional force of 2.6 N, a force of 2.8 N must be applied to a
textbook in order to slide it along the surface of a wooden table. The book
accelerates at a rate of 0.11 m/s?.
a. What is the unbalanced force on the book?
b. What is the mass of the book?

Answers

(a) The unbalanced force will be "0.2 N".

(b) The mass of book "1.818 kg".

Unbalanced force and mass:

Given:

Applied force = 2.8 NFrictional force = 2.6 NAcceleration = 0.11 m/s²

(a) Total unbalanced force,

→ \(F_{net} = 2.8-2.6\)

          \(= 0.2 \ N\)

(b) By applying Newton's second law,

→ \(F = ma\)

or,

→ \(m = \frac{F_{net}}{a}\)

By substituting the values,

      \(= \frac{0.2}{0.11}\)

      \(= 1.818 \ kg\)

Thus the above approach is correct.  

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according to the bohr model, what is the atomic energy level of a hydrogen atom in the 6th excited state?

Answers

According to the Bohr model, the energy levels of a hydrogen atom are given by the equation E = -13.6 \(eV/n^{2}\), where n is the principal quantum number.

The 6th excited state refers to the state where the electron is in the 7th energy level, since the ground state is considered to be n = 1. Plugging this value into the equation, we get E = -13.6 \(eV/7^{2}\) = -0.216 eV.

This energy level is relatively high, meaning the electron is far from the nucleus and is therefore loosely bound.

Hydrogen atoms in this excited state are typically unstable and can undergo transitions to lower energy levels by emitting photons of specific wavelengths.

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what happens to an electromagnetic wave as it passes from space to matter?
(no keyboard spam or links)
I'll give brainiest

Answers

Answer:

When an electromagnetic wave passes from space to matter, some part of the energy is absorbed by the matter and it increases its energy. The wave may reflect and some part may pass through the matter depending on the amount of energy they have. The amplitude of the wave decreases if some parts of it are reflected.

Electromagnetic radiation is one of the many ways that energy travels through space. The heat from a burning fire, the light from the sun, the X-rays used by your doctor, as well as the energy used to cook food in a microwave are all forms of electromagnetic radiation. While these forms of energy might seem quite different from one another, they are related in that they all exhibit wavelike properties.

what index of refraction halves the wavelength that light has in a vacuum?
a) 1.33
b) 1.50
c) 1.41
d) 2.00
e) 5.00

Answers

The index of refraction that halves the wavelength that light has in a vacuum is 2.00. Therefore, the correct option is (d) 2.00.

When light passes from one medium to another, it changes its velocity, and thus its wavelength. The index of refraction is a measure of how much light is bent when passing through a medium and can be calculated using Snell's Law:n1sin θ1=n2sin θ2where n1 and n2 are the indices of refraction of the two media, and θ1 and θ2 are the angles that the light makes with the normal line in the first and second media, respectively.

For a given angle of incidence, we can see that the index of refraction is directly proportional to the sine of the angle of refraction, which means that as the angle of refraction increases, so does the index of refraction. Now, let's assume that light is passing from vacuum (with index of refraction n1=1) to a medium with an unknown index of refraction n2.

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If a pump handles a fluid at a temperature 177 C and a pressure of 164 psig with 3.66 m/s at suction nozzle. What is the NPSH (ft) available if the vapor pressure of fluid is 134 psia and specific gravity of fluid is 0.89 at 177 C?
A.80
B.90
C.120
D.105

Answers

The NPSH (ft) available is approximately 120 ft. The correct option is C.

To calculate the Net Positive Suction Head (NPSH) available, we need to use the following formula:

\(NPSH (ft) = \left[\dfrac{(P - Pv)} {(\rho \times g)}\right] - \left\dfrac{V^2} { (2 g)}\)

Where:

P is the absolute pressure at the suction nozzle (psia)Pv is the vapour pressure of the fluid (psia)ρ is the density of the fluid (lb/ft^3)g is the acceleration due to gravity (32.2 \(\dfrac{ft}{s^2}\))V is the velocity of the fluid at the suction nozzle (ft/s)

Given:

P = 164 psig (pressure at the suction nozzle)Pv = 134 psia (vapour pressure of the fluid)ρ = specific gravity x  ρ(water) (density of the fluid)= 0.89 x 62.4 \(\dfrac{lb}{ft^3}\)(assuming water as the reference fluid)g = 32.2 \(\dfrac{ft}{s^2}\) (acceleration due to gravity)V = 3.66 \(\dfrac{m}{s}\) x 3.28 \(\dfrac{ft}{m}\)

Calculating NPSH:

P = 164 psig + 14.7 psia (converting psig to psia)

= 178.7 psia

Calculate the density,

ρ = 0.89 x 62.4

ρ = 55.536  \(\dfrac{lb}{ft^3}\)

The velocity is calculated as,

V = 3.66  x 3.28

V = 12.0288  \(\dfrac{ft}{s}\)

\(NPSH (ft) = \dfrac{(178.7 - 134 ) (55.536 * 32.2 )] - (12.0288) } { (2 \times 32.2 )}\)

\(NPSH (ft) = \dfrac{44.7 (1783.1712)] - (0.1888 ) }{ 64.4 }\)

NPSH (ft)  = 120 ft

Therefore, the NPSH (ft) available is approximately 120 ft.

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When a roller coaster is stationary at the top of a hill is has the most potential energy. What does stationary mean in this sentence?

not moving
moving down the hill
accelerating
slowing down

Answers

The stationary mean not moving in this sentence. The correct option is A.

What is potential energy?

Potential energy in physics is the energy that an item retains as a result of its position in relation to other objects, internal tensions, electric charge, or other elements.

Any object that is raised from rest has energy that can be released at a later time; for this reason, it is referred to as potential energy.

The highest potential energy is present when a roller coaster is at rest at the summit of a slope. In this statement, the word stationary means immobile.

Thus, the correct option is A.

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Gravitational force acts on all objects in proportion to their masses. Why then, a heavy object does not fall faster than a light object?

Answers

Answer:

Well, it's because the air offers much greater resistance to the falling motion of the feather than it does to the brick. ... Galileo discovered that objects that are more dense, or have more mass, fall at a faster rate than less dense objects, due to this air resistance. A feather and brick dropped together.

Explanation:

A hydraulic lift is used to raise an automobile of mass 1520 kg. The radius of the shaft of the lift is 8.00 cm and that of the piston is 1.00 cm. How much force must be applied to the piston to raise the automobile?

Answers

To raise the automobile with a hydraulic lift, a force of approximately 19,000 N must be applied to the piston.

In a hydraulic lift, the principle of Pascal's law is applied, which states that pressure applied to an enclosed fluid is transmitted undiminished to all portions of the fluid and the walls of its container. By utilizing this principle, a smaller force applied to a smaller piston can generate a larger force on a larger piston.

In this scenario, the force needed to lift the automobile can be calculated using the formula:

\(\frac{F_{1}}{A_{1}} =\frac{F_{2}}{A_{2}}\)

where \(F_{1}\) is the force applied to the piston, \(A_{1}\) is the area of the piston, \(F_{2}\) is the force generated on the larger piston (required to lift the automobile), and \(A_{2}\) is the area of the larger piston.

Given the radius of the shaft (small piston) as 0.08 m and the radius of the piston as 0.01 m, we can calculate the forces applied and generated as follows:

\(A_{1} = \pi (0.08)^2\\A_{2}= \pi (0.01)^2\)

\(\frac{F_{1}}{A_{1}} =\frac{F_{2}}{A_{2}}\)

Simplifying the equation and substituting the values, we can solve for \(F_{2}\):

\(F_{2}=\frac{F_{1}A_{2}}{A_{1}}\)

Plugging in the values, we find:

\(F_{2}=\frac{F_{1} \pi (0.01)^2 }{ \pi (0.08)^2} \\F_{2}= \frac{F_{1}\times 0.0001}{0.0064} \\F_{2}= 0.015625 \times F_{1}\)

Given that the mass of the automobile is 1520 kg and the acceleration due to gravity is \(9.8 \hspace m/s^{2}\), we can equate \(F_{2}\) to the weight of the automobile:

\(F_{2}= mg\\0.015625\times F_{1}= 1520\times 9.8\)

Solving for \(F_{1}\), we find:

\(F_{1}\approx \frac{1520\times 9.8}{0.015624} \\F_{1} \approx 19072 \hspace N\)

Therefore, a force of approximately 19,000 N must be applied to the piston in order to raise the automobile using the hydraulic lift.

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Which of the curves in the figure represents an isobaric process? (a) horizontal (b) a steep curve (c) a less steeper curve (d) a very steep curve.

Answers

The curve that represents an isobaric process is the horizontal curve in the figure.

An isobaric process is a thermodynamic process that occurs at constant pressure. This means that the pressure of the system does not change during the process, and the horizontal curve in the figure represents a constant pressure.In contrast, a steep curve represents a rapid change in pressure, which indicates that the process is not isobaric. A less steep curve also indicates a change in pressure, albeit at a slower rate than a steep curve. Therefore, neither of these curves represents an isobaric process. Similarly, a very steep curve also represents a change in pressure that is not constant, and therefore, it does not represent an isobaric process.

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What is the potential energy of two electrons that are separated by a distance of 3.5 x 10^-11m ?

Answers

Answer:

6.58×10⁻¹⁸ J

Explanation:

Applying

E = kq²/r.................. Equation 1

Where E = potential energy, q = charge on each electron, r = distance between the electron, k = coulomb's constant.

From the question,

Given: r = 3.5×10⁻¹¹ m,

Constant: q = 1.6×10⁻¹⁹ C, k = 8.99×10⁹ Nm²/C²

Substitute these values into equation 1

E = (1.6×10⁻¹⁹)²(8.99×10⁹)/(3.5×10⁻¹¹)

E = 6.58×10⁻¹⁸ J

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