Determine the maximum volume in gallons​ [gal] of olive oil that can be stored in a closed cylindrical silo with a diameter of feet​ [ft] so the total pressure at the bottom of the container will not exceed ​pound-force per square inch​ [psi]. Assume the height of the tank is sufficient to store the amount of olive oil​ required, and the surface pressure is 1 atmosphere​ [atm]. The specific gravity of olive oil is 0.86.

Answers

Answer 1

This question is incomplete, the complete question is;

Determine the maximum volume in gallons​ [gal] of olive oil that can be stored in a closed cylindrical silo with a diameter of 3feet​ [ft] so the total pressure at the bottom of the container will not exceed 26 ​pound-force per square inch​ [psi]. Assume the height of the tank is sufficient to store the amount of olive oil​ required, and the surface pressure is 1 atmosphere​ [atm]. The specific gravity of olive oil is 0.86.

Answer:

A maximum of 1602.6 gallons of olive oil can be stored in the closed cylindrical silo

Explanation:

Given the data in the question;

Using SI units

Diameter = 3 ft = 3 × 0.3048 = 0.9144 m

pressure at bottom Pb = 26 psi = 26 × 6.89476 × 1000 = 179263.76 pascal

surface pressure Ps = 1 atm = 1 × 101325 = 101325 pascal

specific gravity = 0.86

we know that; density of water = 1000 kg/m³

so, density of oil P = density of water × specific gravity

= 1000 × 0.86 = 860 kg/m³

pressure at depth can be related to pressure at surface;

Pb = Ps + Pgh

acc. due gravity g = 9.81 m/s²

we substitute

179263.76 = 101325 + ( 860 × 9.81 × h)

8436.6h = 179263.76 - 101325

8436.6h = 77938.76

h = 77938.76 / 8436.6

h = 9.238 m

Now;

Volume of the cylinder = π/4 × D² × h

we substitute

Volume of the cylinder = π/4 × ( 0.9144 )² × 9.238  

Volume of the cylinder = 6.0665 m³

we know that; 1 m³ = 264.172 gal

so; Volume of the cylinder = 6.0665 × 264.172 gal

Volume of the cylinder = 1602.6 gallons

Therefore, A maximum of 1602.6 gallons of olive oil can be stored in the closed cylindrical silo


Related Questions

A 0.86kg grenade is tossed on the ground with a velocity of 6 m/s West. If the grenade explodes into 2 pieces,
one that has a mass of 32kg and travels East at 10 m/s.
(A) What is the mass of the second piece
(B) What is the velocity of the second piece?

Answers

Answer:

(A) 0.54 kg

(B) 15.5 m/s west

Explanation:

Mass is conserved.

M = m₁ + m₂

0.86 kg = 0.32 kg + m₂

m₂ = 0.54 kg

Momentum is conserved (take east to be positive).

Mv = m₁v₁ + m₂v₂

(0.86 kg)(-6 m/s) = (0.32 kg)(10 m/s) + (0.54 kg) v₂

v₂ = -15.5 m/s

explain why the length of the pendulum is measured from the lower part of the wooden clamp

Answers

The length of the pendulum is measured from the lower part of the wooden clamp, because the center of gravity is at the center of the bob.

The simple pendulum's length, l is determined by measuring it from the point of suspension to the center of gravity (center of the bob), which is the place where all of this sphere's mass is concentrated.

The center of the mass will exactly reside in the center of the bob when we take the bob's dimensions into account.

As a result, the total length is now equal to the length of the string plus the bob's radius. The length is thus measured from the lower part of the wooden clamp.

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Based on the model you saw in the study, predict what will happen to the
motion of water molecules as the temperature in the system decreases.
O A. The molecules will move more quickly.
OB. The change in temperature will have little or no effect on the
motion of the molecules.
O C. The molecules will move more slowly
O
D. The molecules will collide more often.

Answers

Answer:

C. The molecules will move more slowly

Explanation:

As the temperature in the system decreases, the random motion of the molecules decreases and as a result the molecules will move more slowly. So, option C is correct.

What is meant by intermolecular forces ?

Intermolecular force is defined as the force of attraction or repulsion that mediates between the neighboring molecules in a system.

Here,

The water molecules in the system have more intermolecular distance between them and thus they are in random motion and are colliding among each other. These water molecules have lesser intermolecular force of attraction when compared to solids and higher than that of gas molecules.

When the temperature of the system decreases, the kinetic energy of the water molecules decreases which results in the reduced speed of the molecules. The intermolecular force of attraction between the molecules increases. As a result, the intermolecular distance between the molecules is decreased, thus the molecules comes more closer to each other. Due to this, the random motion of the water molecules in the system gets decreased which in turn causes the collision between the molecules become much lesser.

Hence,

As the temperature in the system decreases, the random motion of the molecules decreases and as a result the molecules will move more slowly.

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Attaching the image here.

Based on the model you saw in the study, predict what will happen to themotion of water molecules as

DOES FORCE ALWAYS HAVE SOME EFFECT ON ALL OBJECT

Answers

Answer:

Answer is down below…

Explanation:

A force does not always bring a change in motion of an object. For instance, if you push the walls of the room with your hands, the walls do not move. Sometimes force changes the shape and size of an object without any change in the state of motion of an object. Q.

c = speed of light = 3.00 × 108 m/s

A gamma ray has a very high frequency of about 1019 s−1. What is the wavelength of the gamma ray?
A.
3.00 × 10−11 m
B.
3.00 × 1027 m
C.
3.33 × 1010 m
D.
3.33 × 10−12 m
URGENT!!!!!!!!!!

Answers

Answer:

The correct answer is option A: 3.00 × 10^(-11) m.

Explanation:

To find the wavelength of a gamma ray with a frequency of about 10^19 s^(-1), we can use the equation:

wavelength = speed of light / frequency

Given:

Speed of light (c) = 3.00 × 10^8 m/s

Frequency (f) = 10^19 s^(-1)

Substituting the values into the equation:

wavelength = (3.00 × 10^8 m/s) / (10^19 s^(-1))

To simplify the expression, we can rewrite the denominator as (1 / 10^(-19)) s:

wavelength = (3.00 × 10^8 m/s) / (1 / 10^(-19)) s

To divide by a fraction, we multiply by its reciprocal:

wavelength = (3.00 × 10^8 m/s) × (10^(-19) s)

Applying the properties of exponents, we can add the exponents when multiplying with the same base:

wavelength = 3.00 × 10^(-11) m

Therefore, the wavelength of the gamma ray is approximately 3.00 × 10^(-11) m.

where is the kinetic energy shored at the most

a:at the top
b:the middle
c:the center
d:the botton

Answers

Answer:

D at the bottom

Explanation:

I think it’s either b or c

A/An _____ is formed when the magnetic fields of electrons are aligned in the same direction.magnetic fieldmagnetic fluxdomainpolarization

Answers

In a region of a material in which the electrons are aligned in such a way their magnetic field produce a magnetic field wit higher intensity, we say that such a region is a domain.

Hence,

A domain is formed when the magnetic fields of electrons are aligned in the same direction.

Complete the following statement: The electromotive force is:______.a. the force that accelerates electrons through a wire when a battery is connected to it.b. the maximum potential difference between the terminals of a battery. c. the force that accelerates protons through a wire when a battery is connected to it.d. the maximum capacitance between the terminals of a battery.e. the potential difference between the terminals of a battery when the battery is not in use.

Answers

Answer:

The electromotive force is the maximum potential difference between the terminals of a battery.

The electromotive force is the maximum potential difference between the terminals of a battery.  The correct option is b.

What is electromotive force?

The electromotive force also called as EMF, is the force which causes current to flow from  the positive to negative terminal of the battery.

The electromotive force is the maximum potential difference between the terminals of a battery.

Thus, the correct option is b.

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2. Using the teengamb dataset, fit a model with gamble as the response and the other variables as predictors. Answer the questions posed in the previous question.
(a) Check the constant variance assumption for the errors. (b) Check the normality assumption.

Answers

By checking the constant variance assumption and the normality assumption, we can ensure that our model is valid and reliable.

(a) To check the constant variance assumption for the errors, we can plot the residuals against the fitted values. The constant variance assumption states that the variance of the errors should be the same for all values of the predictor variables.

If the plot shows a random scatter of points, then the constant variance assumption is met. However, if there is a pattern, such as a funnel shape, then the assumption is not met.


(b) To check the normality assumption, we can create a Q-Q plot of the standardized residuals. The normality assumption states that the errors should be normally distributed. If the points on the Q-Q plot fall on a straight line, then the normality assumption is met. However, if the points deviate from the line, then the assumption is not met.


It is important to check these assumptions because if they are not met, then the results of the model may be biased or incorrect. By checking the constant variance assumption and the normality assumption, we can ensure that our model is valid and reliable.

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Use the drop-down menus to complete each sentence.

A plant grows toward a sunny window. This response is an example of
✔ phototropism
.

Sometimes a plant grows around a tree for support. This response is an example of
✔ thigmotropism
.

The roots of a plant grow toward a water source. This response is an example of
✔ hydrotropism
.

The roots of a plant grow down into the soil. This response is an example of
✔ gravitropism
.
the answers are already there

Answers

Answer:

The correct answer is - phototropism, thigmotropism, hydrotropism, and gravitropism in order ( already match correctly).

Explanation:

phototropism is a phenomenon in which plants grow towards the light or sun which is accomplished by the hormone auxin in the cells far from the light.

Thigotropism is a type of plant growth that occurs around the tree to support itself which is a touch stimuli response.

The movement of the plant in the direction of the source of the water is known as hydrotropism. In which stimuli is humidity or the water concentration.

The movement of the plant or roots of the plants towards the soil or earth is known as gravitropism here gravity is the stimuli.

Answer:

Use the drop-down menus to complete each sentence.

A plant grows toward a sunny window. This response is an example of

phototropism

.

Sometimes a plant grows around a tree for support. This response is an example of

thigmotropism

.

The roots of a plant grow toward a water source. This response is an example of

hydrotropism

.

The roots of a plant grow down into the soil. This response is an example of

gravitropism

.

Explanation:

(a) you can interpret the smearing of the electron charge over all space as providing information about the likely location of the electron. use the charge density to construct the probability that the electron is located between r and r dr in the ground state. show that the bohr radius a is the most likely location for the electron.

Answers

The most likely location of the electron in the ground state of the hydrogen atom is at r = 1/2 a, which is half of the Bohr radius.

When the electron is in a stationary state in the hydrogen atom, the electron's wave function ψ (r, θ, ϕ) is determined.

The wave function is a complex function that gives the probability of finding an electron at a certain position in space. The probability of finding the electron in a tiny volume of space between r and r+dr is given by the charge density  ρ(r).

In the ground state of the hydrogen atom, the probability of finding the electron between r and r+dr is given by:

p(r) = 4πr²ρ(r) dr

For the ground state, the probability distribution of the electron is symmetric around the nucleus, and the most likely location of the electron is at the maximum of the probability distribution. So we need to find the maximum value of p(r).

The charge density of the hydrogen atom in the ground state is given by:

ρ(r) = (1/πa³) exp(-2r/a)

The probability distribution of the electron is given by:

p(r) = (4/ a³) πr² exp(-2r/a) dr

For finding the maximum value of p(r), we differentiate p(r) with respect to r and equate it to zero.

Differentiating p(r), we get:

dp/dr = 8r/a⁴ exp(-2r/a) - 4r²/a⁴ exp(-2r/a) = 0

r = 1/2 a

Therefore, the maximum value of p(r) is at r = 1/2 a.

Hence, the most likely location of the electron in the ground state of the hydrogen atom is at r = 1/2 a, which is half of the Bohr radius.

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I will give Brainliest please help!​

I will give Brainliest please help!

Answers

Answer:

A) Golgi apparatus

Explanation:

B) v a c u o l e (C) m i t o c h o n d r i a ( E) cell wall

Food manufacturers create fats by adding hydrogen to fats?

Answers

True, Food manufacturers create fats by adding hydrogen to fats.

What is hydrogenation?

Hydrogenation is used in the oil industry in making trans fats or margarine by increasing the melting point through reducing the carbon-to-carbon double bonds..

During hydrogenation, unsaturated fats undergo a chemical reaction in the presence of hydrogen gas and a catalyst, typically nickel.

The process involves the addition of hydrogen atoms to the carbon double bonds in the fatty acid molecules, resulting in the conversion of some of the double bonds into single bonds.

This reduces the number of unsaturated bonds in the fat, making it more saturated.

So we can conclude that the statement is true.

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6. In the diagram below, A is a vector of magnitude 35 cm; B is a vector of magnitude 13 cm. If tan a = 4/3 and tan ß = 5/12, a. write A and B in terms of î and ĵ b. Show that A + B makes an angle of 45° to the x-axis.

Answers

Answer:

A = 21 î + 28 ĵ

B = 12 î + 5 ĵ

Explanation:

a.

To write A and B in terms of î and ĵ, we need to use the trigonometric ratios and the vector notation

According to the diagram, we have:

tan a = 4/3 tan ß = 5/12

Using the identity tan θ = opposite/adjacent, we can find the x and y components of A and B.

For A, we have:

x component = 35 cos a y component = 35 sin a

Using tan a = 4/3, we can find cos a and sin a by using Pythagoras’ theorem:

cos a = 3/5 sin a = 4/5

Therefore, the x and y components of A are:

x component = 35 cos a = 35 (3/5) = 21 y component = 35 sin a = 35 (4/5) = 28

Using the vector notation, we can write A as:

A = 21 î + 28 ĵ

Similarly, for B, we have:

x component = 13 cos ß y component = 13 sin ß

Using tan ß = 5/12, we can find cos ß and sin ß by using Pythagoras’ theorem:

cos ß = 12/13 sin ß = 5/13

Therefore, the x and y components of B are:

x component = 13 cos ß = 13 (12/13) = 12 y component = 13 sin ß = 13 (5/13) = 5

Using the vector notation, we can write B as:

B = 12 î + 5 ĵ

b.

To show that A + B makes an angle of 45° to the x-axis, we need to find the resultant vector R and its angle θ with the x-axis.

To find R, we can use the vector addition rule :

R = A + B R = (21 î + 28 ĵ) + (12 î + 5 ĵ) R = (21 + 12) î + (28 + 5) ĵ R = 33 î + 33 ĵ

To find θ, we can use the inverse tangent function :

tan θ = y component / x component tan θ = 33 / 33 tan θ = 1

θ = tan^-1(1) θ = 45°

Therefore, A + B makes an angle of 45° to the x-axis.

A person jumps from an airplane with a parachute. which form of energy is decreasing as the person falls to the ground?

Answers

Answer:

Gravitational Potential Energy

Explanation:

Potential Energy is greatest before the person starts falling and then decreases as they fall to the ground.

is Firefly an artificial or natural light source

Answers

Answer:

NATURAL

Explanation:

well this is because a firefly isn't man- made it is a firefly it isn't a robot, it is an insect.

The moon has a mass of 7.35 E 22 kg and is located 3.84 E 8 meters from Earth. If a car on Earth has a mass of 3,450 kg, what is the gravitational force between this car and the moon?

Answers

F = 0.00156 N

Explanation:
F=G•m1•m2
_____
r2

What is the strength of the electric field at the position indicated by the dot in (Figure 1)?

What is the direction of the electric field at the position indicated by the dot in (Figure 1)? Specify the direction as an angle measured clockwise from the positive x
axis.

What is the strength of the electric field at the position indicated by the dot in (Figure 1)?What is

Answers

At the point indicated by the dot, the electric field vector would be at an angle of 45 degrees measured clockwise from the positive x-axis, since the x and y components of the electric field are equal at that point.

Assuming that the two charges are of equal magnitude and opposite sign and that the distance between them is d, the electric field at the point indicated by the dot can be found using Coulomb's law:

\(E = kq/r^2\)

where k is Coulomb's constant (\(8.99 *10^9 N m^2/C^2\)), q is the magnitude of the charge, and r is the distance between the charges.

Since the charges are of equal magnitude, the net charge at the point indicated by the dot is zero, so we only need to consider the electric field due to one of the charges. Let's assume that we want to find the electric field due to the positive charge.

The distance between the positive charge and the point indicated by the dot is r = d/2. Therefore, the electric field at that point is:

\(E = kq/(d/2)^2 = 4kq/d^2\)

The direction of the electric field is radial, pointing away from the positive charge and toward the negative charge. At the point indicated by the dot, the electric field vector would be at an angle of 45 degrees measured clockwise from the positive x-axis, since the x and y components of the electric field are equal at that point.

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Brainlist!! Help!! Atom A consists of 10 protons, 12 neutrons, and 10 electrons.

Atom B consists of 10 protons, 10 neutrons, and 12 electrons.


The atoms are isotopes of each other.

The atoms are not isotopes of each other.

Answers

Atom A has 10 protons, 12 neutrons, and 10 electrons, while Atom B has 10 protons, 10 neutrons, and 12 electrons.

Atom A and Atom B are not isotopes of each other. Isotopes are atoms of the same element that differ in the number of neutrons but have the same number of protons. In this case, Atom A and Atom B have different numbers of protons, which means they are not isotopes of each other.

The number of protons determines the element, and since Atom A and Atom B have different numbers of protons, they belong to different elements.

Isotopes, on the other hand, have the same number of protons but differ in the number of neutrons.

This variation in the number of neutrons gives isotopes different atomic masses while retaining the same chemical properties.

However, Atom A and Atom B do not fulfill this criterion, so they cannot be considered isotopes of each other.

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An electron with a velocity of 14.4 m/s in the positive y-direction enters a region where there is a uniform electric field of 201 N/C in the positive x-direction. The mass of the electron is 9.109 × 10−31 kg.

What is the y-component of the electron’s displacement 2.40 μs after entering the electric-field region if no other forces act on it in μm?

What is the x-component of the electron’s displacement 2.40 μs after entering the electric-field region if no other forces act on it in m?

Answers

1. The electron experiences acceleration and moves independently in the y-direction.

2. The y-component of the electron's displacement after 2.40 μs in the electric field is -8.11 μm.

3.  The x-component of displacement remains zero.

To calculate the y-component and x-component of the electron's displacement, we need to consider the motion of the electron in the electric field. Let's break it down step by step:

1. Acceleration of the Electron:

The electric field causes a force on the electron given by the equation: F = qE, where F is the force, q is the charge of the electron, and E is the electric field.

Since the charge of an electron is -1.6 × \(10^-^1^9\) C, and the electric field is 201 N/C, we can calculate the force:

F = (-1.6 × \(10^-^1^9\)C) * (201 N/C)

  = -3.216 × \(10^-^1^7\) N

Using Newton's second law, F = ma, we can find the acceleration (a) of the electron:

a = F / m

  = (-3.216 × \(10^-^1^7\) N) / (9.109 ×\(10^-^3^1\) kg)

  = -3.530 × \(10^1^3 m/s^2\)

2. Displacement in the y-direction:

Since no other forces act on the electron, its motion in the y-direction is independent of the electric field. The equation for displacement (y) under constant acceleration is:

y = (1/2) * a *\(t^2\)

Substituting the values, where the time (t) is 2.40 μs (2.40 ×\(10^-^6\) s), we can calculate the y-component of displacement:

y = (1/2) * (-3.530 ×\(10^1^3 m/s^2\)) * (2.40 ×\(10^-^6 s)^2\)

  = -8.11 μm

Therefore, the y-component of the electron's displacement 2.40 μs after entering the electric-field region is -8.11 μm.

3. Displacement in the x-direction:

Since the electron's velocity is only in the y-direction initially, the x-component of the displacement remains zero. Without any forces acting in the x-direction, the electron continues to move in the y-direction without changing its x-position.

Hence, the x-component of the electron's displacement 2.40 μs after entering the electric-field region is 0 meters.

Please note that the calculations provided are based on the given values and the provided formulas for displacement and acceleration.

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WHO WANts TO HAVE SOME GLIZZY ACTION

Answers

bruh huh.............

An autographed baseball rolls off of a 0.99 m high desk and strikes the floor 0.34 m away
from the desk.
How fast was it rolling on the desk before it fell off? The acceleration of gravity is 9.81 m/s2

Answers

Answer:

Below

Explanation:

First, we need to find the time of flight of this projectile :

     \(t=\sqrt{\frac{2dy}{g} }\)

     \(t =\sqrt{\frac{2(0.99)}{9.81}\)

     \(t =\sqrt{\frac{1.98}{9.81}\)

     \(t =\sqrt{0.20183486238}\)

     \(t = 0.448489506\) \(seconds\)

Now we can use this formula to find the initial horizontal velocity :

     \(Dhorizontal = Vhorizontal (time)\)

     \(0.34 m = Vx(0.448489506) \\0.76m/s^2 = Vx\)

Therefore the initial velocity of the baseball was 0.76 m/s^2 [Forward]

Hope this helps! Best of luck <3

. The nearest star, Proxima Centauri is 4.0 x 10 km away. Calculate the time it takes light signal from the earth to the star? How many years will it take a spacecraft travelling with speed of 0.0001c to reach Proxima Centauri. (c = 3 x 10 ms).​

Answers

It would take approximately 1.33 x 10^8 seconds (or about 42 years) for a light signal from Earth to reach Proxima Centauri. For a spacecraft traveling at 0.0001c, it would also take about 42 years to reach Proxima Centauri.

To calculate the time it takes for a light signal to travel from Earth to Proxima Centauri, we can use the formula:

Time = Distance / Speed

Given:Distance to Proxima Centauri = 4.0 x 10^13 km (convert to meters by multiplying by 10^3, as 1 km = 10^3 m)

Speed of light (c) = 3 x 10^8 m/s

Converting the distance to meters:

Distance = 4.0 x 10^13 km * 10^3 = 4.0 x 10^16 m

Using the formula, we can calculate the time it takes for the light signal to travel:

Time = Distance / Speed = (4.0 x 10^16 m) / (3 x 10^8 m/s)

Time ≈ 1.33 x 10^8 seconds

To calculate the number of years it would take for a spacecraft traveling at a speed of 0.0001c to reach Proxima Centauri, we need to divide the distance by the speed of the spacecraft.

Speed of spacecraft (v) = 0.0001c = 0.0001 * 3 x 10^8 m/s = 3 x 10^4 m/s

Time = Distance / Speed = (4.0 x 10^16 m) / (3 x 10^4 m/s)Time ≈ 1.33 x 10^12 seconds

To convert seconds to years, divide the time by the number of seconds in a year:

Number of years ≈ (1.33 x 10^12 seconds) / (3.1536 x 10^7 seconds/year)

Number of years ≈ 42 years

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physical science is the connection between
A. atoms and cells
B. energy and life
C. matter and rocks
D. matter and energy

Answers

Answer:

d d d d d d s d. d d d d d df ff f f. f f f r r ff f f ff d f f f f f f f f f r. ff r f. r

Observe: Air pressure is equal to the weight of a column of air on a particular location. Airpressure is measured in millibars (mb). Note how the air pressure changes as you move StationB towards the center of the high-pressure system.
A. What do you notice?
B. Why do you think this is called a high-pressure system?

Answers

Answer:

a) When moving towards a high pressure center the pressure values ​​increase in the equipment

b) This area is called high prison since the weight of the atmosphere on top is maximum

Explanation:

A) A high atmospheric pressure system is an area where the pressure is increasing the maximum value is close to 107 Kpa, the other side as low pressure can have small values ​​85.5 kPa.

When moving towards a high pressure center the pressure values ​​increase in the equipment

B) This area is called high prison since the weight of the atmosphere on top is maximum

in general they are areas of good weather

Why does the sky change colors at sunset?
The atmosphere reflects colors.
The atmosphere bends light.
The sun changes colors.

Answers

The sky changes colors at sunset because the atmosphere ABSORBS some colors of light more than other colors.

The second choice ("The atmosphere bends light") is a correct statement, but it's not the reason that the sky changes colors at sunset.

Answer:

The atmosphere bends light.

Explanation:

I got the test, and passed! =)

write down the value of

920 kg in g

Answers

Answer:

920000

Explanation:

Each kg contains 1,000 grams

What happens to the capacitance if the charge on the plates of a capacitor is doubled? a. The capacitance is doubled. c. The capacitance remains unchanged. b. The capacitance is halved. d. The capacitance becomes four times. Please select the best answer from the choices provided A B C D

Answers

The correct answer is C. The capacitance remains unchanged. Capacitance is a measure of the ability of a capacitor to store charge and is determined by the physical characteristics of the capacitor, such as the surface area of the plates and the distance between them. Doubling the charge on the plates does not change these physical characteristics, so the capacitance remains unchanged.

electric heater has a power of 50 watts calculate the time taken for the electric element to transfer 4750 joules of energy to the vegetable oil

Answers

Answer:

3000 seconds

Explanation:

The statements below describe either vector or scalar quantities. Please select the statements that are scalar quantities.
Responses

After Shelly ate at JB's crab shack, she traveled 400 km southeast to get home.
After Shelly ate at JB's crab shack, she traveled 400 km southeast to get home.,

Shelly traveled 8 km in 4 hours, giving her an average speed of 2.0 km/hr.
Shelly traveled 8 km in 4 hours, giving her an average speed of 2.0 km/hr.,

Shelly laid her eggs on Crystal Beach Island and then traveled 70 km north.
Shelly laid her eggs on Crystal Beach Island and then traveled 70 km north.,

As Shelly rides the Gulf Stream to Greenland to meet up with her mate, her velocity increased to 3.3 km/hr west.
As Shelly rides the Gulf Stream to Greenland to meet up with her mate, her velocity increased to 3.3 km/hr west.,

Shelly ate a crab that had a mass of 0.7 kg.
Shelly ate a crab that had a mass of 0.7 kg.,

The temperature of the ocean Shelly swam in was 22 degrees Celsius.

Answers

The following are the statements' respective scalar quantities:

Shelly ate a crab that had a mass of 0.7 kg.The temperature of the ocean Shelly swam in was 22 degrees Celsius.

The scalar quantities in the given statements are the mass of the crab, which is 0.7 kg, and the temperature of the ocean Shelly swam in, which was 22 degrees Celsius. Scalar quantities are measurements that have magnitude but no direction.

In this context, mass and temperature are scalar quantities because they represent numerical values without any specific directional information associated with them.

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The physical quantities are of two types and they are scalar and vector quantities. Scalar quantities are the physical quantity that has only a magnitude. The vector quantities are the physical quantity that has both magnitude and direction.

From the given, the statements that have only magnitude without direction are scalar quantities. Hence, the scalar quantity statements are:

2) Shelly traveled 8km in 4 hours giving her an average speed of 2 km/hr. The speed is the physical quantity that gives the magnitude of distance covered by the object and hence, speed is the scalar quantity.

5) Shelly ate a crab that had a mass of 0.7 kg representing the scalar quantity statement. The mass is the quantity that has magnitude and it has no direction. Thus, mass is the scalar quantity.

6) The temperature of the oceans Shelly swam in was 22 degrees Celcius. Thus, temperature is the scalar quantity.

The remaining sentences represent the vector quantity as the statements indicate both magnitude and direction.

Hence, the correct statements are options 2, 5, and 6.

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