How long will it take for a radioactive sample to reduce to 1% of his original activity?

Answer:

It would be option B.

Explanation:

Option B. is the right answer because as the mass of the canon increases the kinetic energy will increase as well, but the will decrease due to its greater mass.

If the mass of the cannonball increases, and all other initial conditions stay the same,  the velocity decreases, and the kinetic energy increases.

The kinetic energy of an object is the energy possessed by the object due to its motion.

\(K.E = \frac{1}{2} mv^2\)

where;

When the mass increases, the kinetic energy will increase.

\(v^2 = \frac{2K.E }{m}\\\\v=\sqrt{\frac{2K.E }{m}}\)

when the mass increases, the velocity of the cannonball will decrease.

Thus, we can conclude that if the mass of the cannonball increases, and all other initial conditions stay the same,  the velocity decreases, and the kinetic energy increases.

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Considering a 0.95 MeV y-ray photon and Randomized Variables E = 0.95 MeV so the  frequency of light will be 2.294×10²⁰ Hz.

Given,

The energy of photon

E = 0.95 MeV = 0.95× 1.6×10⁻¹³ J or 1.52 × 10⁻¹³ J  

Using E = hυ  

We have:  

υ = E/h = 1.52×10⁻¹³/(6.626×10⁻³⁴)  

= 2.294×10²⁰ Hz  

Thus the frequency of light will be 2.294×10²⁰ Hz.

Associated to each wave vector ~k and polarization state σ there is an electromagnetic normal mode of oscillation with frequency ω(k) = kc and complex amplitude aσ( ~k). In the absence of sources, the behavior of the electromagnetic field is completely described by these normal modes. We will assume the normal modes are defined using periodic boundary conditions.

For each ~k and σ there is a Hilbert space of square integrable functions and a Hamiltonian( ~k). For each ~k and σ there is a basis of energy eigenvectors; the corresponding ladder operators act on this basis by adding and subtracting quanta of energy ω(k).

We can use this basis to induce a basis for the tensor product over all the oscillator Hilbert spaces, which is the state space for the composite system of normal modes, i.e., the electromagnetic field.

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The ball will travel more distance when projected or kicked at an angle of 35 degrees.

The range of the projectile or the horizontal distance traveled by the ball is calculated by applying the following kinematic equation as shown below.

R = ( u² sin (2θ ) ) / g

where;

The horizontal distance traveled by the ball when projected at 35 degrees is calculated as;

R = ( 13.9² x sin ( 2 x 35 ) ) / ( 9.8 )

R = 18.53 m

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Impedance = 130.19 ΩMaximum current = 0.20 A Angular frequency = 628.32 rad/sPhase shift = 2.20 × 10−4 radInductance = 0.015 HMaximum current = 0.26 A

(a)Impedance =Z = R + Xc − XlWhere,Xc = 1 / (2πfc) = 1 / (2π(100)(99.0 × 10−6)) = 159.15 ΩXl = 2πfL = 2π(100)(140 × 10−3) = 87.96 ΩSo,Z = 59.0 + 159.15 − 87.96 = 130.19 Ω

(b)Maximum current,Imax = Δv/Z = (37.5 / √2) / 130.19 = 0.20 A

(c)The impedance angle is given by,θ = tan-1((Xl - Xc)/R) Where,Xc = 159.15 ΩXl = 87.96 ΩR = 59.0 ΩSo,θ = tan-1((87.96 - 159.15)/59.0) = -54.67°Now,ω = 2πf = 2π(100) = 628.32 rad/s

So,i = Imax sin(ωt + θ) = 0.20 sin(628.32t - 54.67°)

(d)The time difference angle between the voltage and current is θ. Therefore, we have,θ = 100t - φWhere,φ = time difference / angular frequency = (time difference × 2πf) = φ / ωSo,φ = -54.67° / 180° × π / 628.32 rad/s = 2.20 × 10−4 rad

Now,i = Imax sin(ωt - φ) = 0.20 sin(628.32t - 0.000220 rad)(e)For the current to lag the voltage by 2.20 × 10−4 rad, we need an impedance angle of −54.67°. We can find this angle as,θ = tan-1((Xl - Xc)/R)

Where,Xc = 1 / (2πfc) = 1 / (2π(100)(99.0 × 10−6)) = 159.15 ΩR = 59.0 ΩSo,−54.67° = tan-1((Xl - 159.15)/59.0)So,Xl = Rtan(θ) + Xc = (59.0)tan(-54.67°) + 159.15 = 9.41 Ω

Hence, the required inductance is,L = Xl / (2πf) = 9.41 / (2π × 100) = 0.015 H(f)

Maximum current,Imax = Δv / Z = (37.5 / √2) / 107.11 = 0.26 A

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Answer:

I'M SORRY I CAN'T SEE THE PICTURE BUT IT WILL MOST LIKELY BE THE DIFFERENCE BETWEEN THE NUMBERS

Explanation:

for instance if there was someone pushing a desk with a net force of 9 towards the right, the net force would come to a total of 9 since there is no one on the other side pushing the desk. Meaning the desk would go right. I'm sorry if this isn't what you needed D:

Answer:

there are as many atoms in a normal breath of air as there are breathfuls of air in the atmosphere of the world

Explanation:

Answer:

The power is 300 watts.

Explanation:

Given that,

Current, I = 20 a

Voltage, V = 15 volts

The electrical power of any device is given by the product of current and voltage. It can be given by :

P = VI

So,

P = 15 × 20

= 300 W

So, the power is 300 watts.

Answer:

give brainliest please

Explanation:

T- lymphocytes or T cells

To solve this problem, we can use the conservation of energy. Initially, the block is at rest and the spring is compressed by a distance of x, given by:

F = kx

where F is the force applied to the spring (20 N), k is the spring constant (500 N/m), and x is the distance the spring is compressed.

Solving for x, we get:

x = F/k = 20 N / 500 N/m = 0.04 m

The potential energy stored in the compressed spring is given by:

U = 1/2 k x^2

Substituting the values, we get:

U = 1/2 * 500 N/m * (0.04 m)^2 = 0.04 J

When the block is released, the potential energy stored in the spring is converted to kinetic energy as the block oscillates back and forth on the spring. At the maximum speed, all the potential energy is converted to kinetic energy, so we can equate the two:

U = K

where K is the kinetic energy of the block.

The kinetic energy is given by:

K = 1/2 mv^2

where m is the mass of the block and v is its velocity at the maximum speed.

Substituting the values and equating the two expressions for energy, we get:

1/2 mv^2 = 0.04 J

Solving for v, we get:

v = sqrt(2*0.04 J / 2 kg) = 0.2 m/s

Therefore, the maximum speed of the block as it oscillates back and forth on the spring is 0.2 m/s.

The melting of methane hydrates on the seafloor can lead to a sharp rise in global temperatures because methane is a powerful greenhouse gas. The statement is true.

Methane is a powerful greenhouse gas, with a global warming potential that is estimated to be about 25 times greater than that of carbon dioxide over a 100-year time horizon. Methane hydrates are solid, crystalline compounds that contain a large amount of methane gas trapped within water molecules. These hydrates are stable under certain temperature and pressure conditions, but if they become destabilized, they can release large amounts of methane into the atmosphere.

The melting of methane hydrates on the seafloor is a concern because it has the potential to release vast amounts of methane into the atmosphere, which could significantly contribute to global warming and climate change. This process could be triggered by rising ocean temperatures, changes in ocean currents, or other factors that alter the stability of the hydrates. While the exact extent and impact of this phenomenon are still uncertain, it is an area of active research and concern among climate scientists.

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Answer:

Because both monomers and polymers and cross linked polymers are mers with physically properties which is good for applycations

Explanation:

because they are good for using and not using

also, this is a 5 point question, you are not  fooling anyone. thx for 5 points tho

Cyclotron to make 1 milligram of the isotope fluorine-18 for use a a diagnostic tool with it PET scanner. It seems that the hospital should plan to make more F-18 the next morning, as the amount remaining at midnight is very small.

The half-life of F-18 is 1.8 hours, so after 1.8 hours, half of the original amount of F-18 will remain. After 3.6 hours, a quarter of the original amount will remain, and so on.

At 3:00 PM (9 hours after the F-18 was made), the hospital will have

= 1/2^(9/1.8)

= 1/2^5

= 1/32

= approximately 0.03125 milligrams of F-18 remaining.

At midnight (18 hours after the F-18 was made), the hospital will have

= 1/2^(18/1.8)

= 1/2^10

= 1/1024

= approximately 0.0009765625 milligrams of F-18 remaining.

While using cyclotron, based on these calculations, it seems that the hospital should plan to make more F-18 the next morning, as the amount remaining at midnight is very small.

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The force F1 is equal and opposite to the downward force thus, F1 is equal to 60 N. The force F2 is inclined to 30 ° from leftward force and it is equal to 38.97 N in magnitude.

Force is an external agent acting on a body to deform it or to change its state of motion or rest. Force is a vector quantity and it is characterised by its magnitude and direction.

If two forces acting on a body from the same directions, then the net force will be the sum of these two forces. If they are acting from opposite directions, they will cancel each other in magnitude.

The force F1 is equal and opposite to the force acting downward. Thus its magnitude is 60 N. The force F2 is inclined to 30 ° from horizontal direction.

F2 = 45 cos 30 = 38.9 N.

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Answer:

Tropic of Cancer in the north and the Tropic of Capricorn in the south.

Explanation:

For weightless object, gravity is equal to centripetal acceleration. The radius of the loop is calculated as 8 km.

The property of the motion of an object traversing a circular path is known as centripetal acceleration. Any object that is moving in circle and has an acceleration vector pointed towards center of that circle is Centripetal acceleration.

As Centripetal Acceleration formula is;

a = v²/r

Given, V-  velocity =  280 m/s

And we know that for weightless object,

Gravity =  centripetal acceleration

So, a =  g

given, g =9.8 m/s²

So,9.8 = 280²/r

r= 8000 m

Radius of the loop = 8 km

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Stars form from molecular clouds through a process known as stellar formation.

These clouds, characterized by low temperatures and high densities, provide the ideal conditions for atoms to combine and form molecules. With a mass range spanning from a few solar masses to millions of solar masses, molecular clouds serve as the birthplaces of new stars. The Pleiades cluster serves as a notable example of stars that have recently formed within such a stellar nursery.

The formation of stars from molecular clouds involves several key steps. Firstly, gravitational forces acting on regions of higher density within the cloud cause them to collapse under their own gravity. As the cloud collapses, it begins to fragment into smaller, denser clumps called protostellar cores. These cores continue to collapse, and their central regions become increasingly dense and hot. At this stage, they are known as protostars.

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In conclusion, the distance from the horizontal top surface of the cube to the water level can be found by calculating the volume of water displaced by the cube and dividing it by the surface area of the top face.

The distance from the horizontal top surface of the cube to the water level can be determined by comparing the density of the cube to the density of water. Since the cube is floating, its density is equal to the density of water.
To find the distance, we can start by calculating the mass of the cube. The formula to calculate mass is density multiplied by volume. Since the density is given as 650 kg/m3 and the volume of the cube is (20 cm)3, we can convert the volume to cubic meters by dividing by 1,000,000.
Next, we can use the weight of the cube, which is equal to the mass multiplied by the acceleration due to gravity (9.8 m/s2), to find the buoyant force acting on it. The buoyant force is equal to the weight of the water displaced by the cube, and it acts in the upward direction.
Finally, we can equate the weight of the cube to the buoyant force to find the volume of water displaced. Dividing this volume by the surface area of the cube's top face will give us the height of the cube submerged in water.
In conclusion, the distance from the horizontal top surface of the cube to the water level can be found by calculating the volume of water displaced by the cube and dividing it by the surface area of the top face.

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The integral of 1/(1 + x²) is (1/2)ln|1 + x²| + C where C is the constant of integration.

Integration is a mathematical process of finding the antiderivative of a function. To integrate the given expression 1/(1 + x²), we will use the substitution method.

Let u = 1 + x², du/dx = 2x dx, then dx = du/2x and the integral becomes:

∫1/(1 + x²) dx = ∫1/u * (1/2x) du= (1/2)∫1/u du

The antiderivative of 1/u is ln|u| + C, where C is the constant of integration.

Therefore, the final solution of the integral is (1/2)ln|1 + x²| + C.

Let us work through the steps:

Step 1:Let u = 1 + x² and then differentiate both sides with respect to x to obtain du/dx. du/dx = 2x

Substitute 2x dx = du into the integral ∫1/(1 + x²) dx to get the integral in terms of u:∫1/u * (1/2x) du = (1/2) ∫1/u du

Step 2:Calculate the antiderivative of 1/u, which is ln|u|. Thus, the final solution is (1/2)ln|1 + x²| + C, where C is the constant of integration. The constant C will vary depending on the initial conditions of the problem.

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Answer:

Sorry for this question

(10 tiles/sec) · (30 cm/tile)  =  300 cm/sec

That's  3000 mm/sec

That's  3 x 10³  mm/sec

Answer:

just rry

Explanation:

The fungus and bacteria organisms are obtaining the energy they need by decomposing organic matter like dead trees and old apples.

Eukaryotic creatures known as fungi include yeasts, moulds, and mushrooms as well as other microorganisms. These creatures fall under the category of fungi. The organisms that make up the Kingdom Fungi are ubiquitous and have a cell wall. They fall under the category of heterotrophs among biological things.

Decomposition, also known as rot, is the breakdown of dead organic matter into more basic organic or inorganic elements like carbon dioxide, water, simple sugars, and mineral salts. The procedure, which is a component of the nutrient cycle, is crucial for recycling the limited amount of matter that takes up real estate in the environment. After a living thing expires, its body starts to decompose. Animals like worms also contribute to the breakdown of the organic elements. Decomposers  are organisms that carry out this process. Despite the fact that no two organisms decompose in exactly the same manner, they all go through the same sequential phases. Taphonomy, which comes from the Greek word taphos, which means tomb, is the general name for the discipline that studies decomposition.

In this question, since both fungi and bacteria are decomposers,  therefore they obtain their energy from decomposing the dead tree trunk and the fallen apples.

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Increasing the distance between the objects

here's the Answer :

=》Increasing the distance between the objects.

since, gravitational force is inversely proportional to the distance between the objects, so if the distance increases the force will decrease.

\(gravitational \: force \: \: \dfrac{1}{ \alpha } \: \: distance\)

Answer:

Hai quả cầu nhỏ hoàn toàn giống nhau, mang điện tích q1, q2 đặt trong chân không cách nhau 20cm thì hút nhau F = 5×10^-5. đặt vào giữa hai quả cầu tấm thủy tinh dày 5 cm có hằng số điện môi là 4. tính lực tác dụng giữa hai quả cầu

when preasure decreases, air expands and it cools

E4 = kQ.[2/a2 + 1/a2] appears to reflect the electric field at the fourth corner as a result.

A characteristic of matter called an electric discharge generates multiple objects to either attract or repel each other depending on how it is charged (positive or negative). A region of space surrounding a static electricity particle or object known as an electrostatic potential is one in which an electricity would experience force.

A personality electromagnetic field like light also requires a grasp of the electric field idea. We now have a mechanism to explain how starlight traverses enormous stretches of vacant desert in order to reach our eyes thanks to the electric field notion.

Number of point charges = 3

E4 = E1 + E2 + E3

E4 = kQ/a2 + kQ/√(2a2) + kQ/a2

E4 = kQ.[ 1/a2 + 1/√(2a2) + 1/a2 ]

E4 = kQ.[ 2/a2 + 1/a√2 ]

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Answer:

no

Explanation:

because There are three only ways to do it: friction, conduction and induction.

When Lana is gliding across the pond on ice skates. By the time she makes it to the other side of the pond, she has nearly come to a complete stop.  Friction forces has caused her to slow down. Hence option D is correct.

When two surfaces move relative to each other, the friction between them turns kinetic energy into thermal energy (that is, work to heat). As demonstrated by the utilisation of friction caused by rubbing pieces of wood together to ignite a fire, this feature may have severe repercussions. When motion with friction occurs, such as when a viscous fluid is churned, kinetic energy is transformed to thermal energy. Another significant effect of many forms of friction is wear, which can lead to performance deterioration or component damage. The science of tribology includes friction. Ice skates are metal blades affixed to the bearer's feet that are used to drive the bearer across a sheet of ice when ice skating.

Hence option D is correct.

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