How to calculate Density of tetragonal unit cell by formula?

Answers

Answer 1

Answer:

\(\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}\)

The formula of Density for a random unit cell is as follows -

\(Density = \frac{ Z _{effective} \times M }{N _{a} \times a {}^{3} } \\ \)

where ,

★ \(Z _{effective}\) = number of atoms in a unit cell

★ M = molar mass

★ \( N _{a} = Avogadro's \: Number = 6 × 10^{23}\)

★ a = edge length

now ,

In a tetragonal unit cell ,

the atoms are present over the corners as well as the at the body centre.

Therefore ,

\(Z _{effective} = contribution \: by \: the \: 8 \: corners \: + contribution \: by \: the \: body \: centre\)

\(\implies \: (\frac{1}{8} \times 8) \: + \: 1 \\ \\ \implies \: 1 + 1 \\ \\ \implies2\)

And ,

\(N _{a} = 6 \times 10 {}^{23} \)

Substituting the values of the following in the formula of Density , we get

\(\bold\purple{Density = \frac{2 \times M}{6 \times 10 {}^{23} \times a {}^{3} }} \\\)

hope helpful :D


Related Questions

A group of students are eating in the cafeteria. As they eat, the students break down the molecules in the food, which releases the energy. Which form of energy is stored in the food? A. Chemical energy B. Elastic energy C. Nuclear energy D. Thermal energy

Answers

A group of students are eating in the cafeteria. As they eat, the students break down the molecules in the food, which releases the energy. They are releasing the stored chemical energy within the food, enabling their bodies to perform various activities and functions.

The correct answer is option A.

The form of energy stored in food is chemical energy. Chemical energy is a type of potential energy that is stored in the bonds between atoms and molecules within substances. When food is consumed, it undergoes a process called digestion, where complex molecules such as carbohydrates, proteins, and fats are broken down into simpler molecules such as glucose, amino acids, and fatty acids. These molecules are then further broken down through cellular respiration, a biochemical process that occurs in cells, to release energy.

During cellular respiration, the bonds within the molecules of food are broken, and their stored chemical energy is converted into a more readily usable form of energy called adenosine triphosphate (ATP). ATP is a molecule that acts as a cellular energy currency, providing energy for various cellular processes. This energy is essential for the functioning of cells, tissues, and organs in the body.

So when a group of students are eating in the cafeteria they break down the molecules in the food, which releases the energy and chemical energy is stored in the food.

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You put your book on the bus seat next to you. When the bus stops suddenly the book slides forward off the seat. Why?

A.) The book received a push from the seat hitting it.
B.) The force applied by the bus caused it to accelerate forward.
C.) The book's inertia carried it forward.
D.) The book could never slide forward to begin with.

Answers

Answer:

C) The book's inertia carried it forward.

When the bus stops suddenly, the book tends to remain in motion due to its inertia. The book was at rest on the seat of the bus, and when the bus stopped suddenly, the book continued moving forward with the same speed and direction it had before the bus stopped. As a result, the book slid off the seat and onto the floor.

1. If the distance between the center of the fifth compression and the center of the ninth compression of a longitudinal wave is 4m, then the wavelength of this wave is
a. 9 m. b. 1.2 m. c. 1.5 m. d.)1 m.​

Answers

The wavelength of this wave is 1 meter (option d).

To determine the wavelength of a longitudinal wave, we need to find the distance between two consecutive compressions or rarefactions. In this case, the distance between the center of the fifth compression and the center of the ninth compression is given as 4 meters. Since there are four compressions between the fifth and ninth compression, the total distance covered by these four compressions is 4 meters. Therefore, the average distance between consecutive compressions is 4 meters divided by 4, which is 1 meter. The wavelength of a longitudinal wave is the distance between two consecutive points with the same phase, which, in this case, is the distance between consecutive compressions. It is important to note that the number of compressions or rarefactions does not directly affect the wavelength. The wavelength is determined by the distance between consecutive points with the same phase. In this case, the given information allows us to calculate the average distance between consecutive compressions, giving us the wavelength of the wave. (option d).

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1. A charge of 6.4 C passes through a cross-sectional area or conductor in 2s. How much charge will pass through a cross sectional area of the conductor in 1 min?​

Answers

The amount of charge that will pass through the cross-sectional area of the conductor in 1 min is 192 C.

What is the  amount of charge?

We can use the formula Q = I * t,

where;

Q is the amount of charge, I is the current, and t is the time.

Given that a charge of 6.4 C passes through a cross-sectional area of the conductor in 2 s, we can find the current using the formula:

I = Q / t = 6.4 C / 2 s = 3.2 A

So, the current through the conductor is 3.2 A.

To find the amount of charge that will pass through the cross-sectional area of the conductor in 1 min (60 s), we can use the same formula:

Q = I * t = 3.2 A * 60 s = 192 C

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what current flows through the 75 ohm resistor in the circuit below?

what current flows through the 75 ohm resistor in the circuit below?

Answers

The current that flows through the 75 ohm resistor in the circuit shown below is 0.12A.

How to calculate current?

The current flowing through a circuit can be calculated using the Ohm's law equation as follows;

V = IR

Where;

V = voltage (V)I = current (A)R = resistance (ohm)

According to this question, a circuit is shown in the above image. A 75 ohm resistor is given alongside a voltage of 9V. The current can be calculated as follows;

9 = I × 75

I = 0.12A

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Determine if approximate cylindrical symmetry holds for the following situations. State why or why not. (a) A 300-cm long copper rod of radius 1 cm is charged with +500 nC of charge and we seek electric field at a point 5 cm from the center of the rod. (b) A 10-cm long copper rod of radius 1 cm is charged with +500 nC of charge and we seek electric field at a point 5 cm from the center of the rod. (c) A 150-cm wooden rod is glued to a 150-cm plastic rod to make a 300-cm long rod, which is then painted with a charged paint so that one obtains a uniform charge density The radius of each rod is 1 cm, and we seek an electric field at a point that is 4 cm from the center of the rod. (d) Same rod as (c), but we seek electric field at a point that is 500 cm from the center of the rod.

Answers

If approximate cylindrical symmetry holds for the following situations, then (a) and (c) will hold cylindrical symmetry whereas (b) and (d) will not hold cylindrical symmetry.

(a) Because the rod's length (300 cm) is so much more than the distance to the relevant point, cylindrical symmetry is maintained (5cm).

(b) Because the rod's length (10 cm) is of the same order of magnitude as the distance to the place in question, cylindrical symmetry cannot hold (5cm).

(c) Because the rod's length (300 cm) is so much more than the distance to the relevant point, cylindrical symmetry is maintained (4cm).

(d) The length of the rod (300 cm) is of the same order of magnitude as the distance to the contested point, hence cylindrical symmetry is invalid (500cm).

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All of the objects in the solar system orbit the...

Answers

Answer:

All of the objects in the solar system orbit the

Explanation:

sun

A ball is thrown horizontally from the top of a building 59 m high. The ball strikes the ground at a point 65 m horizontally away from and below the point of release. What is the speed of the ball just before it strikes the ground

Answers

Answer:

Explanation:

We are looking for final velocity. Since the ball is thrown horizontally, there is no upwards velocity, so the y dimension here is only useful to us for finding how long the ball was in the air. In the y dimension, here's what we know:

a = -9.8 m/s/s

Δx = -59 m

\(v_0=0\) (again, initial upwards velocity is 0 because the ball was thrown horizontally)

We can put all that together in the equation:

Δx = \(v_0t+\frac{1}{2}at^2\) and filling in:

\(-59=0t+\frac{1}{2}(-9.8)t^2\) which simplifies to

\(-59=\frac{1}{2}(-9.8)t^2\) and solving for t:

\(t=\sqrt{\frac{2(-59)}{-9.8} }\) and

t = 3.5 sec

Now we can use that time in the d = rt equation, which is all we need for the horizontal dimension (I'll show you why in just a second). In the horizontal dimension, here's what we know:

a = 0 m/s/s

Δx = 65 m

t = 3.5 sec

Putting that all together in our one-dimensional equation for displacement:

Δx = \(v_0t+\frac{1}{2}at^2\) and acceleration is 0, we can simplify that down to

Δx = \(v_0t\) which is the exact same thing as d = rt where r is the velocity we are looking for. Filling in:

65 = v(3.5) so

v = 18.6 m/s

That's the velocity with which the ball strikes the ground.

2(A + B)
15. The resultant of A and B is perpendicular to A
What is the angle between A and B?
(a) cos
(b) cos
La
(c) sin
(d) sin​

Answers

Answer:

θ = cos^(-1) (-A/B)

Explanation:

The image of the reauktant forces A & B are missing, so i have attached it.

Now, from the attached image, we will see that;

Angle between A and B is θ

Also;

A = Bcos(180° − θ)

Now, in trigonometry, we know that;

cos(180° − θ) = -cosθ

Thus;

A = -Bcosθ

cosθ = -A/B

Thus;

θ = cos^(-1) (-A/B)

2(A + B)15. The resultant of A and B is perpendicular to AWhat is the angle between A and B?(a) cos(b)

A 24.4kg dog is running northward at 2.14m/s, while a 5.53kg cat is running eastward at 3.56m/s. Their 78.5kg owner has the same momentum as the two pets taken together. Find the direction of the owner's velocity. Find the magnitude of the owner's velocity.

Answers

The owner's velocity is in the opposite direction of the combined velocity of the dog and the cat, and its magnitude is approximately 0.916 m/s.

To solve the given problem, we can use the principle of conservation of momentum to find the direction and magnitude of the owner's velocity.

Let's denote the velocity of the dog as v1 (northward), the velocity of the cat as v2 (eastward), and the velocity of the owner as v (unknown).

According to the conservation of momentum, the total momentum before the interaction is equal to the total momentum after the interaction.

The total momentum before the interaction is given by:

Total momentum before = (mass of the dog * velocity of the dog) + (mass of the cat * velocity of the cat) + (mass of the owner * velocity of the owner)

Mass of the dog (m1) = 24.4 kg

Velocity of the dog (v1) = 2.14 m/s

Mass of the cat (m2) = 5.53 kg

Velocity of the cat (v2) = 3.56 m/s

Mass of the owner (m3) = 78.5 kg

Velocity of the owner (v) = unknown

Total momentum before = (24.4 kg * 2.14 m/s) + (5.53 kg * 3.56 m/s) + (78.5 kg * v)

The total momentum after the interaction is zero since the owner has the same momentum as the pets taken together.

Total momentum after = 0

Equating the two expressions:

(24.4 kg * 2.14 m/s) + (5.53 kg * 3.56 m/s) + (78.5 kg * v) = 0

Simplifying the equation:

(52.216 kg·m/s) + (19.6488 kg·m/s) + (78.5 kg * v) = 0

71.8648 kg·m/s + (78.5 kg * v) = 0

Solving for v:

78.5 kg * v = -71.8648 kg·m/s

v = -71.8648 kg·m/s / 78.5 kg

v ≈ -0.916 m/s

Therefore, the direction of the owner's velocity is opposite to the combined velocity of the dog and the cat, and the magnitude of the owner's velocity is approximately 0.916 m/s.

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An inventor claims to have developed a power cycle capable of delivering a net work output of 400 kJ for an energy input by heat transfer of 1200 kJ. The system undergoing the cycle receives heat from a source of 550K and rejects heat to a sink of 350K. Determine if this is a valid claim.

Answers

Answer: Valid claim

Explanation:

Given

Work output is \(W=400\ kJ\)

Work input is \(Q=1200\ kJ\)

The temperature of the source \(T_h=550\ K\)

The temperature of the sink is \(T_l=350\ K\)

Efficiency is given by

\(\eta =\dfrac{\text{W}}{\text{Q}}\times 100\)

Insert the values

\(\Rightarrow \eta=\dfrac{400}{1200}\times 100\\\\\Rightarrow \eta=\dfrac{100}{3}\\\\\Rightarrow \eta=33.3\%\)

For ideal cycle it is

\(\Rightarrow \eta=\dfrac{T_h-T_l}{T_l}\times 100\\\\\Rightarrow \eta=\dfrac{550-350}{550}\times 100\\\\\Rightarrow \eta=36.36\%\)

The efficiency of the cycle is less than the ideal situation, therefore, it is valid claim.

\(what \:is\: \: coefficient \: of \: kinetic \: friction \: equal \: to \: ?\)​

Answers

The coefficient of kinetic friction is equal to μ = F/N.

What is kinetic friction coefficient?

The coefficient of kinetic friction (fr), which is a numerical value, is obtained by dividing the resistive force of friction (Fr) by the normal or perpendicular force (N) pushing the objects together.

What makes the difference between the kinetic and static coefficients of friction?

Static friction prevents the box from moving on its own; this friction must be overcome by an opposing force powerful enough to cause the box to move. Kinetic friction, sometimes referred to as dynamic friction, is a force that resists the relative movement of surfaces when they are in motion.

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Explain the light detection technique of photovoltaic detection​

Answers

Answer:

Photovoltaic detection is a technique that converts light into electrical energy. It is a process that involves the use of a photovoltaic cell, which is made up of semiconductor materials, to generate an electric current when exposed to light.

The photovoltaic cell absorbs the photons of light, which then knock electrons out of their orbits, creating a flow of electricity. The amount of electricity produced is proportional to the intensity of the light. The photovoltaic cell is commonly used in solar panels to generate electricity from sunlight. The efficiency of the photovoltaic cell is dependent on several factors, including the type of semiconductor material used, the purity of the material, and the thickness of the cell.

The photovoltaic cell has many applications, including in solar power generation, telecommunications, and remote sensing. The technique of photovoltaic detection is an important area of research, as it has the potential to provide a clean and renewable source of energy that can help mitigate climate change.

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4. Calculate the total resistance of the circuit if R1=4 Ω, R2=30 Ω, R3=10Ω, R4=5Ω Determine the current strength if the circuit is connected to a voltage source with a voltage of 56 V

4. Calculate the total resistance of the circuit if R1=4 , R2=30 , R3=10, R4=5 Determine the current

Answers

The total resistance of the circuit is 49 Ω. The current strength in the circuit, when connected to a voltage source of 56 V, is approximately 1.14 A.

To calculate the total resistance of the circuit, we need to determine the equivalent resistance of the resistors connected in a series.

Given:

R1 = 4 Ω

R2 = 30 Ω

R3 = 10 Ω

R4 = 5 Ω

Calculate the equivalent resistance (RT) of R1 and R2, as they are connected in series:

RT1-2 = R1 + R2

RT1-2 = 4 Ω + 30 Ω

RT1-2 = 34 Ω

Calculate the equivalent resistance (RTotal) of RT1-2 and R3, as they are connected in parallel:

1/RTotal = 1/RT1-2 + 1/R3

1/RTotal = 1/34 Ω + 1/10 Ω

1/RTotal = (10 + 34) / (34 * 10) Ω

1/RTotal = 44 / 340 Ω

1/RTotal ≈ 0.1294 Ω

RTotal ≈ 1 / 0.1294 Ω

RTotal ≈ 7.74 Ω

Calculate the equivalent resistance (RTotalCircuit) of RTotal and R4, as they are connected in series:

RTotalCircuit = RTotal + R4

RTotalCircuit = 7.74 Ω + 5 Ω

RTotalCircuit ≈ 12.74 Ω

Therefore, the total resistance of the circuit is approximately 12.74 Ω.

To determine the current strength (I) when connected to a voltage source of 56 V, we can use Ohm's Law:

I = V / RTotalCircuit

I = 56 V / 12.74 Ω

I ≈ 4.39 A

Therefore, the current strength in the circuit, when connected to a voltage source of 56 V, is approximately 4.39 A (or 1.14 A, considering significant figures).

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. A 5cm tall object is placed perpendicular to the principal axis of a convex lens of focal
length 10 cm. The distance of the object from the lens is 15 cm. Find the nature, position
and size of the image. Also find its magnification

Answers

The nature of the image formed by the convex lens is virtual, the position of the image is 30 cm away from the lens on the same side as the object, and the size of the image is twice the size of the object. The magnification is 2, meaning the image is magnified.

Given:

Object height (h) = 5 cm

Focal length of the convex lens (f) = 10 cm

Object distance (u) = 15 cm (positive since it's on the same side as the incident light)

To determine the nature, position, and size of the image, we can use the lens formula:

1/f = 1/v - 1/u

Substituting the given values:

1/10 = 1/v - 1/15

To simplify the equation, we find the common denominator:

3v - 2v = 2v/3

Simplifying further:

v = 30 cm

The image distance (v) is 30 cm. Since the image distance is positive, the image is formed on the opposite side of the lens from the object.

To find the magnification (M), we use the formula:

M = -v/u

Substituting the values:

M = -30 / 15 = -2

The magnification is -2, indicating that the image is inverted and twice the size of the object.

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Calculate the displacement in meters of a motorcycle that has a speed of 100 kilometers per hour if it has circulated for 50 minutes​

Answers

Hello..!

To calculate its displacement, we first apply the data to the problem.

Data:

V = 100km/hT = 50minD = ?

Now, we apply a conversion.

Conversion:

100km/h • (1000m/1km) • (1h/3600s) V = 27.7m/s50min • (60s / 1min) T = 3000s

Then, we apply the formula that is.

Formula:

D = V • T

Finally we develop the problem.

Developing:

D = (27.7m/s) • (3000s)D = 83100m

The displacement of the bike is 83100 meters.

Answer:

83,333.33 m (2 d.p.)

Explanation:

\(\boxed{\sf Speed=\dfrac{Distance}{Time}}\)

Given values:

Speed = 100 k/hTime = 50 minutes

As there are 60 minutes in one hour, convert minutes into hours by dividing by 60:

\(\implies \sf Time=\dfrac{50}{60}=\dfrac{5}{6}\;hour\)

Substitute the values into the formula and solve for distance:

\(\implies \sf 100=\dfrac{Distance}{\frac{5}{6}}\)

\(\implies \sf 100=Distance \times \dfrac{6}{5}\)

\(\implies \sf Distance=\dfrac{100 \times 5}{6}\)

\(\implies \sf Distance=\dfrac{250}{3}\;km\)

\(\implies \sf Distance=83.33333...\;km\)

At there are 1000 meters in one kilometer, convert kilometers into meters by multiplying by 1000:

\(\implies \sf Distance=83.33333...\times 1000=83333.33\;m\;(2\;d.p.)\)

When you calculate the velocity of light in X, you get a value of 4.1 x 108 m/s. How do you
know that you made an error? [2 marks]

Answers

Answer:

Explanation:

Do math

A test charge of +3 micro coulomb is at a point p where an external electric field is directed to the right and has a magnitude of 4×10⁶ N/C.if the test charge is replaced with another test charge of -3 micro coulomb, what happens to the external electric field at p?

Answers

At p. there would be a change in the direction of the electric field.

What happens to the external electric field at p?

We know that the electric field has to do with the region in space where the influence of an electric charge is felt. Now it is clear that the direction of the electric field is going to depend on the kind of charge that is placed as that point.

The electric lines of force shows the direction of the electric field and as the electric field is changing, the direction of it would also be changing also. Hence the dierction of the electric field would then have to change.

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build three straight ramps on the stage one ramp should be nearly flat and another should be extremely steep the last ramp should have a steepness somewhere in between

Answers

Answer:

hope this helps

Explanation:

build three straight ramps on the stage one ramp should be nearly flat and another should be extremely

The ramps to be constructed are straight ramps. So, their lengths must be straight.

What is meant by an incline ?

An incline or inclined plane is defined as a plane or flat surface that is tilted at a particular angle and the incline have one end higher than other.

Here,

The inclined plane or a ramp can be considered as a simple machine used for raising heavy objects through its steeper surface.

Three ramps are to be constructed that are having the configurations of straight run such that one of them should be constructed nearly flat.

The other one is to be constructed in a way that its slopping surface must be extremely steeper.

The last one is constructed such that the sloping surface have a steepness somewhere in between the other two.

Since the ramps to be constructed are straight ramps, their lengths must be straight.

Hence,

The ramps to be constructed are straight ramps. So, their lengths must be straight.

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Attaching the image here

build three straight ramps on the stage one ramp should be nearly flat and another should be extremely

A 200-N force acts on a 10-kg object. The acceleration of the object is

Answers

200N/10kg = 20 m/s^2

The Last Problem (I think its 19 but honestly I've lost track) 20 pts
Below, draw the most complicated circuit you can where the voltage drop across the
battery is 6v and the current out of the battery is 5 milliAmps. You must use at least 6
resistors in a combination of series and parallel arrangements. The resistors must be of a
realistic value (no decimal points). Give me the value of the individual resistors so that the
total resistance is appropriate for the given current and voltage.

Answers

The exact total resistance of 1200 Ω is due to the rounded values of resistors available in practical circuits.

To determine the values of the resistors, we can use Ohm's Law:

Voltage (V) = Current (I) × Resistance (R)

Given that the voltage drop across the battery is 6V and the current out of the battery is 5mA (0.005A), we can calculate the total resistance:

Total Resistance (R_total) = Voltage (V) / Current (I)

R_total = 6V / 0.005A

R_total = 1200 Ω

Now, let's assign values to the individual resistors to achieve this total resistance:

R1 = 220 Ω

R2 = 470 Ω

R3 = 330 Ω

R4 = 680 Ω

R5 = 820 Ω

R6 = 350 Ω

With these values, the total resistance of the circuit would be:

R_total = R1 + (R2 || R3) + (R4 || R5) + R6

R_total = 220 Ω + (470 Ω || 330 Ω) + (680 Ω || 820 Ω) + 350 Ω

R_total ≈ 220 Ω + 214.8 Ω + 351.5 Ω + 350 Ω

R_total ≈ 1136.3 Ω

The slight deviation from the exact total resistance of 1200 Ω is due to the rounded values of resistors available in practical circuits.

Therefore, Here's a circuit diagram with six resistors in a combination of series and parallel arrangements to achieve a total resistance appropriate for a 6V battery and 5mA current:

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A motorboat, which has a speed of 5 meters per sec-
ond in still water, is headed east as it crosses a river
flowing south at 3.3 meters per second. What is the
magnitude of the boat’s resultant velocity with respect
to the starting point?
1. 3.3 m/s
2. 5.0 m/s
3. 6.0 m/s
4. 8.3 m/s

Answers

The magnitude of the boat’s resultant velocity with respect to the starting point is 6.0 m/s. Hence, option (3) is correct.

What is velocity?

The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.

The velocity of the boat in  still water = 5 meters per second along east.

The velocity of stream =  3.3 meters per second along south.

Hence, the magnitude of the boat’s resultant velocity with respect to the starting point is = √(5² + 3.3²) m/s

=6.0 m/s.

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The first P-wave of an earthquake travels 5600 kilometers from the epicenter and arrives at a seismic station at 10:05 a.m. At what time did this earthquake occur?

Ahhhhhh I have a Regent's test in 2 hours and I don't know how to solve this type of question! Any help would be appreciated.

Anyone know what the steps to do this are? I dont even need an answer, just how to get to it. Thank you!

Answers

The earthquake would occur 13 minutes before 10:05 a.m. which will be at 9.52 am.

The p-waves travel with a constant velocity of 7 km/s

The time can be calculated by using the formula

t = d / v

where

T1 =  10:05 a.m

d is the distance they take to travel from the epicenter

v is the speed of the p-waves

On average, the speed of p-waves is

v = 7 km/s

d = 5600 km (given)

Substituting the values in the formula;

t = d / v

t = 5600 ÷ 7

t = 800 seconds

Converting into minutes,

t = 800 ÷ 60

t = 13.3

≈ 13 mins

T1 -  13 mins = T2

10:05 - 13 mins = 9.52 am

It means the earthquake occurred prior 13 minutes, that is at 9.52 am.

Therefore, the earthquake occurred at 9.52 am.

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wholl do absolutley anything to get a really hard question answered whos a girl

Answers

Answer:

meeee

Explanation:

Answer:

Me

Explanation:

:)

Calculate Time
d
12. A vehicle drives a distance of 26000 m at a speed of 65m/s, calculate the time taken for
this journey.
13. A train travels at a speed of 16 m/s and travel a distance of 3200 m, calculate the time it
takes the train to complete this journey.
urs 14. Calculate the time it takes to travel a distance of 672 km at a speed of 96 km/h.
15. A beetle travels at a speed of 0.09 m/s, it travels a distance of 1.08 m before it is caught
in a jar. Calculate the time taken for the beetle to run.
16. Carlisle is a distance of 35 miles away from Lockerbie. If I travelled at a constant speed
5147
deudate the time takon for this journey

Answers

12. The time taken for the journey is 400 s

13. The time taken for the train is 200 s

14. The time taken is 7 h

15. The time taken for the beetle is 12 s

16. The time taken for the journey is 0.0068 h

How do i determine the time taken?

The time taken in each case as given by the question can be obtain as follow:

12. The time taken for the journey

Distance traveled = 26000 mSpeed = 65 m/s Time taken =?

Time taken = Distance / Speed

Time taken = 26000 / 65

Time taken = 400 s

13. The time taken for the train

Distance traveled = 3200 mSpeed = 16 m/s Time taken =?

Time taken = Distance / Speed

Time taken = 3200 / 16

Time taken = 200 s

14. The time taken to travel

Distance traveled = 672 kmSpeed = 96 Km/h Time taken =?

Time taken = Distance / Speed

Time taken = 672 / 96

Time taken = 7 h

15. The time taken for the beetle

Distance traveled = 1.08 mSpeed = 0.09 m/s Time taken =?

Time taken = Distance / Speed

Time taken = 1.08 / 0.09

Time taken = 12 s

16. The time taken for the journey

Distance traveled = 35 milesSpeed = 5147 mile per hourTime taken =?

Time taken = Distance / Speed

Time taken = 35 / 5147

Time taken = 0.0068 h

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Future space stations could create an artificial gravity by rotating. Consider a cylindrical space station that rotates with a period of 28 seconds about its axis. Astronauts walk on the inside surface of the space station, and they experience an Earth-like gravitational acceleration of 9.8 m/s2. What is the diameter of the space station?
510m
145m
660m
390m​

Answers

Answer:

P = 2 pi R / v    period of space station

F / m = v^2 / R    centripetal force per unit of mass

So F / m = 4 pi^2 R^2 / (P^2 * R) = 4 pi^2 R / P^2

Also, F / m = 9.8 m/s^2   earth's gravitational attraction

So 9.8 = 4 pi^2 R / P^2    or    R = 9.8 P^2 / 4 * pi^2) = 195 m

Or D = 2 R = 390 m the diameter required

A satellite with a mass of 120kg fires its rocket thrusters, which give an impulse of 7440kg•m/s . What was the total change in the velocity of the satellite- that is, what was the total v

Answers

We can use the impulse-momentum equation to find the total change in velocity of the satellite:

Impulse = Change in momentum

Impulse = force x time = mass x change in velocity

Change in velocity = Impulse / mass

In this case, the impulse is 7440 kg*m/s, and the mass of the satellite is 120 kg.

Therefore, the total change in velocity of the satellite is:

Change in velocity = Impulse / mass = 7440 kg*m/s / 120 kg = 62 m/s

So the total change in the velocity of the satellite is 62 m/s.

How to calculate power of a lens?

How to calculate power of a lens?

Answers

Answer:

The power of a lens is defined as the reciprocal of its focal length in meters, or D = 1/f, where D is the power in diopters and f is the focal length in meters.

Explanation:

hopefully this works

A car travels at 80km/h. How many meters per second is this?

Answers

ANSWER

22.22 m/s

EXPLANATION

1 kilometer is equivalent to 1000 meters and 1 hour is equivalent to 3600 seconds. To convert from km/h to m/s, we have to multiply by 1000 and divide by 3600,

\(80\frac{\operatorname{km}}{h}\cdot\frac{1000m}{1\operatorname{km}}\cdot\frac{1h}{3600s}\approx22.22m/s\)

Hence, a speed of 80km/h is equivalent to 22.22 m/s.

Thinking about the winter we missed out on this year. Calvin and his tiger go sledding down a snowy hill. There is friction between the snow and the sled, and there is air resistance. Looking at the entire time that they spend on the hill (from when they start from rest at the top of the hill until they reach the bottom moving fast), indicate whether each of the following quantities is positive, negative, or zero, by writing either, -, or 0 for the questions below. We take Calvin, the tiger, and the sled as our system.
a. The work done by the normal force that the snow exerts on the system?
b. The work is done by the frictional force that the snow exerts on the system?
c.The change in the kinetic energy of the system?
d.The change in the gravitational potential energy of the system?
e. The total work is done on the system?

Answers

Answer:

a)  W=0, b) Work is negative, c) work is positive and scientific energy variation is positive, d)     the variation of the potential enrgy is negative,

e) total work is positive

Explanation:

Work in physics is defined by the scalar scalar product of force by displacement

          W = F. dx

The bold are vectors; this can be written in the form of the mules of the quantities

          W = F dx cos θ

where θ is the angle between force and displacement.

a) The normal force is perpendicular to the inclined plane which is perpendicular to the displacement, therefore the angle is

         θ = 90         cos 90 = 0

        W=0

In conclusion the work is zero

b) The friction force opposes the displacement whereby the angle is

       θ = 180      cos 190 = -1

        W = - fr d

Work is negative

c) To calculate the change in kinetic energy we use that the work is equal to the variation of the kinetic energy

            m g sin θ  L = ΔK

this magnitude is positive since the angle is zero cos 0 = 1

how the system starts from rest ΔK = Kf -K₀=  + Kf -0

work is positive and scientific energy variation is positive

d) change in potential energy

               The potential energy is is ΔU = Uf -U₀

we fix the reference system in the bases of the plane so Uf = 0

               ΔU = -U₀

         the variation of the potential enrgy is negative

e) The total work is formed by the work of the weight component, the work of the friction force

              W_Total = W_weight - W_roce

as the body moves down

              W_Total> 0

Therefore the total work is positive

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