Platinum-182 has a half-life of 3 minutes. If you have a 120-gram sample of Platinum
how much of that sample will remain after 6 half-lives.

The properties of fluids are Density,Viscosity,Temperature, Pressure,Specific Volume,Specific Weight,Specific Gravity.

Answer:

Yes, It does mean that there was a Red Giant in the middle of the galaxy.

Explanation:

The star at the middle of the galaxy will forever stay at the middle from the gravity it has on itself and it implodes and turns into a black hole with a mass equal to at least 10 suns

a) The final pressure and temperature for the isothermal compression are \(4.5*10^5 Pa\) and 293 K, respectively, while  b) the final pressure and temperature for the adiabatic compression are\(5.58*10^5 Pa\) and 515 K, respectively.

a. Isothermal compression:

For an isothermal process, the temperature remains constant. Therefore, we can use the ideal gas law:

PV = nRT

where P is the pressure, V is the volume, n is the number of moles of gas, R is the gas constant, and T is the temperature.

Since the process is isothermal, we can write:

\(P_1V_1 = P_2V_2\)

where P1 and V1 are the initial pressure and volume, and\(P_2\)and\(V_2\)are the final pressure and volume.

We are given that the volume is compressed to 1/3 of its original volume, so\(V_2 = (1/3)V_1\). Substituting this into the equation above gives:

\(P_2 = (V_1/V_2)P_1 = 3P_1\) = \(4.5*10^5 Pa\)

To find the final temperature, we can use the ideal gas law again:

PV = nRT

Rearranging, we get:

T = PV/(nR)

Substituting the values we know, we get:

T = (\(1.5*10^5\)Pa)(V1)/(nR)

Since the process is isothermal, the temperature remains constant, so the final temperature is the same as the initial temperature:

T2 = T1 = 293 K

b. Adiabatic compression:

For an adiabatic process, there is no heat transfer between the gas and its surroundings. Therefore, we can use the adiabatic equation:

PV^γ = constant

where γ = Cp/Cv is the ratio of specific heats.

Since the process is adiabatic and reversible, we can write:

\(P_1V_1\)^γ = \(P_2V_2\)^γ

We are given that the volume is compressed to 1/3 of its original volume, so V2 = (1/3)V1. Substituting this into the equation above gives:

\(P_2 = P_1(V_1/V_2)\)^γ = \(P_1\)\((3)^{(1.4)\) = \(5.58*10^5 Pa\)

To find the final temperature, we can use the adiabatic equation again:

\(T_2 = T_1(P_2/P_1)\)^((γ-1)/γ) = T1(5.58/1.5)^(0.4) = 515 K

Therefore, the final pressure and temperature for the isothermal compression are \(4.5*10^5 Pa\)and 293 K, respectively, while the final pressure and temperature for the adiabatic compression are \(5.58*10^5\) Pa and 515 K, respectively.

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gear C and Z will run at the same RPM

RPM is not a unit, according to the International System of Units (SI). The word "revolution" is a semantic annotation rather than a unit, which explains this. RPM formula sign must be f for (rotational) frequency and or for angular velocity due to the measured physical quantity. s−1  or Hz is the basic SI-derived unit that corresponds. The radians per the second unit are used to express angular speed.

As a result, a disc rotating at 60 RPM  is considered to be rotating at either 2 rad/s or 1 Hz, where the former refers to angular velocity and the latter to the rate of revolutions per second.

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The final velocity of the truck is determined as 13.2 m/s.

The final displacement of the truck is determined as 183.6 m.

The velocity of the truck after 12 seconds is calculated as follows;

v = u + at

where;

v is the final velocity of the truck after 12 seconds

u is the initial velocity of the truck

t is the time of motion

a is the acceleration of the truck

v = 0 + 2.3(12)

v = 27.6 m/s

The velocity of the truck after 9 seconds is calculated as follows;

v = u + at

where;

v = 27.6 m/s   +  (-1.6)(9)

v = 13.2 m/s

v² = u² + 2as

13.2² = 27.6² + 2(-1.6)s

174.24 = 761.76 - 3.2s

3.2s = 761.76 - 174.24

3.2s = 587.52

s = 587.52/3.2

s = 183.6 m

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Answer:

P = 1500 Watt

Explanation:

Mechanical Work and Power

Mechanical work is the amount of energy transferred by a force.

Being F the magnitude of the force vector and s the distance, the work is calculated as:

W=F.s

Power is the amount of energy transferred or converted per unit of time. In the SI, the unit of power is the watt, equal to one joule per second.

The power can be calculated as:

\(\displaystyle P=\frac {W}{t}\)

Where W is the work and t is the time.

The force to be considered is the weight of the mass of m=100 kg, \(g= 10\ m/s^2\):

F = 100 * 10 = 1000 N

The distance is s=3 m, thus the work done by the weight lifter is:

W = 1000 N * 3 m

W = 3000 J

Finally, the power is:

\(\displaystyle P=\frac {3000}{2}\)

P = 1500 Watt

Answer:

Explanation:

Let m be the third point mass

Force pulling toward A

Fa = Gm(1500)/0.800² = 2343.75Gm

Force pulling toward B

Fb = Gm(1200)/0.200² = 30000Gm

Net force acting on m

30000Gm - 2343.75Gm = 27656.25Gm

a = F/m = 27656.25Gm/m = 27656.25G

a = 27656.25(6.674 x 10⁻¹¹) = 1.8457... x 10⁻⁶ m/s² towards mass B

Answer:

Explanation:

The surface area of a star estimated by the energy emitted per sq meter yields the overall luminosity, which can be represented mathematically as:

\(L= 4 \pi R^2 \sigma T^4 --- (1)\)

where;

L ∝ R²T⁴

and;

R = radius of the sphere

σ = Stefans constant

T = temperature

Also; The following showcase the relationship between flux density as well as illuminated surface area as:

\(F = \dfrac{L}{A}\)

where

A = 4πd² and L ∝ R²T⁴

\(F = \dfrac{R^2T^4}{4 \pi d^2} \\ \\ F \alpha \dfrac{R^2T^4}{ d^2} --- (2)\)

Given that:

distance d₁ = 20 pc

Then, using equation (2)

\(F_1 \ \alpha \ \dfrac{R^2_1T^4_1}{ d^2_1}\)

However, we are also being told that there is a temp. drop by a factor of 3;

So, the final temp. \(T_2 = \dfrac{T_1}{3}\); and the final radius is \(R_2 = 100R_1\) since there is increment by 100 folds.

Now;

\(F_2 \ \alpha \ \dfrac{R^2_2T^4_2}{ d^2_2}\)

SInce;

\(F_1 = F_2\)

It implies that:

\(\dfrac{R^2_1T^4_1}{ d^2_1 } = \dfrac{R^2_2T^4_2}{ d^2_2} \\ \\ d_2 = \sqrt{\dfrac{R_2^2T_2^4}{R_1^2T_1^4}}(d_1)\)

Replacing all our values, we have:

\(d_2 = \sqrt{\dfrac{(100R_1)^2 \times (\dfrac{T_1}{3})^4}{R_1^2T_1^4}}(20 ) \\ \\ d_2 = \sqrt{\dfrac{(100)^2 }{3^4}}(20 ) \\ \\ d_2 = \sqrt{\dfrac{(100)^2 }{3^4}}(20 ) \\ \\ d_2 =222 \ pc\)

The scientific weight of a 50 kg mass which is usually the product of the mass and gravitation is 500 N.

The scientific weight refers to the weight of an object on the Earth.

As we know, according to the third law of Newton, there is always an equal and opposite reaction to every object.

If we are putting mass on the Earth, then there will be the gravitational force working on the body.

So, the weight becomes the product of mass and gravity.

Given,

Mass = 50 kg.

Let us assume the gravitational force to be 10 N

Now, the weight of the box becomes

Weight = 50 * 10 = 500 N

Therefore the scientific weight of a 50 kg mass which is usually the product of the mass and gravitation is 500 N.

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Answer: chemical energy

Explanation:

Answer:

» Force is 200,000 Newtons

Explanation:

\({ \tt{force = \frac{impulse}{time} }} \\ \\ { \tt{force = \frac{20000}{0.1} }} \\ \\ { \tt{force = 200000 \: newtons}}\)

The order of magnitude of the given physical quantities would be  B < E < D < C

In positional notation, significant figures refer to the digits in a number that is trustworthy and required to denote the amount of something, also known as the significant digits, precision, or resolution.

Here, the order of magnitude of the following physical quantities is as follows

B.The mass of the Moon’s atmosphere: 25,000 kg ⇒ 10 ⁴

C.The mass of Earth: 5.97×10²⁴ kg ⇒ 10²⁴

D.The mass of the Moon is 7.34×10²² kg⇒ 10²²

E.The Earth-Moon distance (semi-major axis): 3.84×108 m ⇒  10⁸

Thus, the order of magnitude of the given physical quantities would be  B < E < D < C

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Answer:from,

v=at+u then ,time=4seconds

we take u=initial speed which is zero

(0)

 now, v=(10x4+0)m/s

then, velocity/speed is 40m/s

Explanation:from firt newton's laws of motion where from acceleration is rate of change of speed then we generate the eqn where now the stone was falling fat a certain height were we include acceleration due to gravity and multiply to time and sum to initial speed to get

The number of moles of gas added to the container is -3.56 mol, and the negative sign means that the number of moles of gas decreased, or in other words, the gas was compressed.

The number of moles of gas can be calculated using the Ideal Gas Law:

PV = nRT

where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is temperature.

Since the pressure and temperature remain constant, we can equate the initial and final state of the gas:

n1 × (8.15 L) × (T) = n2 × (13.7 L) × (T)

Dividing both sides by T, we get:

n1 × 8.15 L = n2 × 13.7 L

Solving for n2:

n2 = (n1 × 8.15 L) / (13.7 L)

n2 = (8.51 mol) × (8.15 L) / (13.7 L)

n2 = 4.95 mol

So, the number of moles of gas added to the container is:

n2 - n1 = 4.95 mol - 8.51 mol = -3.56 mol.

Note that the answer is negative, which means that the number of moles of gas decreased, or in other words, the gas was compressed.

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Answer:

150N

Explanation:

To find the force applied remember that force equals to Mass multiply by the Acceleration.

F=Ma

=30*5

=150N

Answer:

150N

Explanation:

F = m*a = 30 * 5 = 150 N

It will take the Hubble Telescope 94,247 seconds or 26.18 hours to complete one full rotation around the Earth.

The Hubble Telescope is in a circular orbit around the Earth at a constant speed of 20 m/s. The distance between the telescope and the center of the Earth is:

300 km + 100 m = 300,100 m.

Orbital period T of the Hubble Telescope = T = 2πr / v

where

In this case, r = 300,100 m and v = 20 m/s, so:

T = 2π(300,100 m) / (20 m/s) = 94247 seconds

Thus, it will take the Hubble Telescope approximately 94,247 seconds, or about 26.18 hours, to complete one full rotation around the Earth.

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For a converging lens, the focal point is the point at which converging light rays cross; for a diverging lens, the focal point is the point from which diverging light rays appear to originate.

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a) The angle θ1 which the righthand cable makes with respect to the ceiling is  sin^(-1)(692 N / 530 N).

b) The angle θ2 which the left-hand cable makes with respect to the ceiling is  sin^(-1)(692 N / 570 N).

We may utilise the tension of the right-hand cable as well as its vertical and horizontal components to determine the angle 1. θ2 = sin^(-1)(692 N / 570 N).

We may apply the ideas of trigonometry and vector addition to address this issue.

a) The tension of the right-hand wire as well as its vertical and horizontal components can be used to determine the angle 1.

T1sin(1) calculates the vertical component of the right-hand cable's tension, which is equal to the object's weight (692 N).

T1sin(θ1) = 692 N

We may rearrange the equation to find 1:

θ1 = sin^(-1)(692 N / T1)

We can find 1 by substituting the given tension value, T1 = 530 N:

θ1 = sin^(-1)(692 N / 530 N)

b) Similarly, we can use the formula to determine the angle 2 the left-hand cable's tension and its vertical and horizontal components.

The vertical component of the left-hand cable's tension is given by T2sin(θ2), and it should also be equal to the weight of the object (692 N).

T2sin(θ2) = 692 N

To find θ2, we can rearrange the equation:

θ2 = sin^(-1)(692 N / T2)

Substituting the given tension value T2 = 570 N, we can solve for θ2:

θ2 = sin^(-1)(692 N / 570 N)

Calculating these angles using the given tension values will provide the answers in degrees.

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i think correct answer is b

Answer:

Explanation:

Answer:

The elasticity of the bungee cord reduces the gravitational forces applied on the body during bungee jumping. For example, if a 100-pound individual jumps from a building and encounters 900 pounds of deceleration force, they will feel 9 "G's" of force.

hopefully this'll help

have a nice day!!! :D

Some psychologists believe that eating disorders represent a defense against unconscious conflicts related to sexual development. These psychologists have adopted a Psychoanalytic approach to eating disorders.

A psychoanalytic approach is based on the idea that our unconscious thoughts, feelings, and motivations can have a powerful influence on our behavior by focusing on helping individuals to gain insight into their unconscious processes, recognize and resolve conflicts, and modify their behavior.

Therefore, with this data, we can see that a Psychoanalytic approach is based on unconscious mental processes to develop a cure.

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Answer:

This link was diagram

Explanation:

https://doubtnut.app.link/FnsNC80Dccb

Answer:

Ions

Explanation:

For a rectangular storage tank filled with paraffin to a depth of 2 m, the volume, weight, mass of paraffin, and pressure at the bottom of the tank are:

a. The volume is 24 m³.

b. weight is 240,000 N,

c. mass is 24,490 kg, and

d. pressure is 23,530 Pa.

a) The volume of paraffin in the rectangular storage tank can be calculated using the formula:

Volume = Length x Width x Depth

Given:

Length = 4 m

Width = 3 m

Depth = 2 m

Substituting the values into the formula, we have:

Volume = 4 m x 3 m x 2 m

Volume = 24 m³

Therefore, the volume of paraffin in the tank is 24 cubic meters.

b) The weight of the paraffin can be calculated using the formula:

Weight = Volume x Density x Acceleration due to gravity

The density of paraffin varies, but we can assume a typical value of 10,000 kg/m³. The acceleration due to gravity is approximately 9.8 m/s². Substituting these values into the formula:

Weight = 24 m³ x 10,000 kg/m³ x 9.8 m/s²

Weight = 240,000 N

Therefore, the weight of the paraffin in the tank is 240,000 Newtons.

c) The mass of the paraffin can be calculated using the formula:

Mass = Density x Volume

Substituting the given values:

Mass = 10,000 kg/m³ x 24 m³

Mass = 24,490 kg

Therefore, the mass of the paraffin in the tank is 24,490 kilograms.

d) The pressure at the bottom of the tank due to the paraffin can be calculated using the formula:

Pressure = Weight / Area

The area of the bottom of the tank is equal to the length multiplied by the width. Substituting the values:

Area = 4 m x 3 m

Area = 12 m²

Pressure = 240,000 N / 12 m²

Pressure = 20,000 Pa

Therefore, the pressure at the bottom of the tank due to the paraffin is 20,000 Pascals (Pa).

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Answer: Part A its C

Part B is B

Explanation:

There is more to the Earth than what we can see on the surface. In fact, if you were able to hold the Earth in your hand and slice it in half, you'd see that it has multiple layers. But of course, the interior of our world continues to hold some mysteries for us. Even as we intrepidly explore other worlds and deploy satellites into orbit, the inner recesses of our planet remains off limit from us.

However, advances in seismology have allowed us to learn a great deal about the Earth and the many layers that make it up. Each layer has its own properties, composition, and characteristics that affects many of the key processes of our planet. They are, in order from the exterior to the interior – the crust, the mantle, the outer core, and the inner core. Let's take a look at them and see what they have going on.

Like all terrestrial planets, the Earth's interior is differentiated. This means that its internal structure consists of layers, arranged like the skin of an onion. Peel back one, and you find another, distinguished from the last by its chemical and geological properties, as well as vast differences in temperature and pressure.

Explanation: