besides u-235, another isotope that can undergo nuclear fission is

Gravitational force between two masses m, and m, is represented as F = Gm₂ m₂ / r^2 where r = xi+yj + zkG, m, m₂ are nonzero constants and let's assume that I = 0

a) Calculation:For F = Gm₂ m₂ / r^2.

Using r = xi+yj + zk and let r^2 = x^2 + y^2 + z^2∴ F = Gm₂ m₂ / (x^2 + y^2 + z^2), Where G, m, m₂ are nonzero constants. Divergence of F = ∇ · F= 1/r^2(d/dx(r^2Fx) + d/dy(r^2Fy) + d/dz(r^2Fz))= 1/r^2(d/dx(r^2Gm₂ m₂ x/(x^2+y^2+z^2)^(3/2)) + d/dy(r^2Gm₂ m₂ y/(x^2+y^2+z^2)^(3/2)) + d/dz(r^2Gm₂ m₂ z/(x^2+y^2+z^2)^(3/2)))= 1/r^2(d/dx(r^2Gm₂ m₂ x/(x^2+y^2+z^2)) * (x^2+y^2+z^2)^(3/2) + d/dy(r^2Gm₂ m₂ y/(x^2+y^2+z^2)) * (x^2+y^2+z^2)^(3/2) + d/dz(r^2Gm₂ m₂ z/(x^2+y^2+z^2)) * (x^2+y^2+z^2)^(3/2))= 1/r^2(Gm₂ m₂ [2x(x^2+y^2+z^2)-3x^2]/(x^2+y^2+z^2)^(5/2) + Gm₂ m₂ [2y(x^2+y^2+z^2)-3y^2]/(x^2+y^2+z^2)^(5/2) + Gm₂ m₂ [2z(x^2+y^2+z^2)-3z^2]/(x^2+y^2+z^2)^(5/2))= 1/r^2(Gm₂ m₂ [(2x^2+2y^2+2z^2-3x^2)/(x^2+y^2+z^2)^(3/2)] + [2x^2+2y^2+2z^2-3y^2]/(x^2+y^2+z^2)^(3/2)] + [2x^2+2y^2+2z^2-3z^2]/(x^2+y^2+z^2)^(3/2)])= 1/r^2(Gm₂ m₂ [x^2+y^2+z^2]/(x^2+y^2+z^2)^(3/2))= 0.

Curl of F = ∇ × F= i(d/dy(Fz) - d/dz(Fy)) - j(d/dx(Fz) - d/dz(Fx)) + k(d/dx(Fy) - d/dy(Fx))= i(d/dy(Gm₂ m₂ z/(x^2+y^2+z^2)) - d/dz(Gm₂ m₂ y/(x^2+y^2+z^2))) - j(d/dx(Gm₂ m₂ z/(x^2+y^2+z^2)) - d/dz(Gm₂ m₂ x/(x^2+y^2+z^2))) + k(d/dx(Gm₂ m₂ y/(x^2+y^2+z^2)) - d/dy(Gm₂ m₂ x/(x^2+y^2+z^2)))= i(Gm₂ m₂ [-2xz]/(x^2+y^2+z^2)^(5/2)) - j(Gm₂ m₂ [-2yz]/(x^2+y^2+z^2)^(5/2)) + k(Gm₂ m₂ [(x^2+y^2-2z^2)]/(x^2+y^2+z^2)^(5/2))

b) Calculation:The line integral of F along a curve C can be evaluated by the following formula∫C F.dr = ∫∫ ( ∇ x F) ds, Where r is the position vector of the curve, s is the scalar parameter representing the curve, and the integral is evaluated from the initial point to the final point.

Using the curl of F obtained in part a) and for the surface with ∂S as C∫C F.dr = ∫∫ ( ∇ x F) ds= ∫∫ curl(F) ds= ∫∫ (-2xz i -2yz j + (x^2+y^2-2z^2)k) ds...[1]

Let's consider the surface S as a plane perpendicular to the z-axis of the form ax+by+c=0 and the curve C as the intersection of the plane and the cylinder x^2 + y^2 = a^2.

Let's choose the unit normal to the surface S as k (along the z-axis).

The curl of F is a vector field perpendicular to the plane and along the direction of k.

Thus the integral can be written as∫C F.dr = ∫∫ ( ∇ x F) . k ds= ∫∫ (x^2+y^2-2z^2) ds...[2]

Now let's evaluate the integral over the given plane ax+by+c=0. We can write x = t, y = (c-at)/b and z = 0, where t is the scalar parameter along the line of intersection of the plane and the cylinder (x^2 + y^2 = a^2).

Since the curve C is on the cylinder of radius a, we have x^2+y^2 = a^2 ⇒ t^2+(c-at)^2/b^2 = a^2On solving for t, we have t = (bc±ab √(a^2-b^2-c^2))/[a^2+b^2].

Substituting t in x and y, we get the curve C in the x-y plane as a function of the scalar parameter s asx = (bc±ab √(a^2-b^2-c^2))/[a^2+b^2]y = (c-at)/b= (c-(bc±ab √(a^2-b^2-c^2))/[a^2+b^2])/b.

Now we can evaluate the integral over the curve C, which is along the intersection of the plane and the cylinder.

Integral over C (x^2+y^2-2z^2) ds= ∫t₁^t₂ [(t^2 + [(c-at)^2]/b^2 - 2(0)^2)^(1/2)] dt= ∫t₁^t₂ [(a^2-b^2-c^2)t^2+2bc(c-at)+b^2c^2-a^2b^2]^(1/2) dt.

Now we can choose the value of t₁ and t₂ such that the square root in the integrand is minimized (so that the integral is path-independent).

This can be done by choosing the value of t that gives the minimum value of (a^2-b^2-c^2)t^2+2bc(c-at)+b^2c^2-a^2b^2 over the range of t from t₁ to t₂.

On differentiation with respect to t and equating to 0, we get the value of t = bc/(a^2+b^2).

Substituting this value of t in the integrand, we get the minimum value of the square root in the integrand to be |c| √(a^2+b^2)/|b|.

Thus the integral over C is given by∫C F.dr = ∫∫ (-2xz i -2yz j + (x^2+y^2-2z^2)k) ds= ∫∫ (x^2+y^2-2z^2) ds= ∫t₁^t₂ |c| √(a^2+b^2)/|b| dt= |c| √(a^2+b^2)/|b| (t₂-t₁).

Now we can see that the integral is path-independent as it depends only on the end points t₁ and t₂ and not on the path taken to reach them.

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Answer:

This brightly colored fish is native to the Indo-Pacific from Australia north to southern Japan and south to Micronesia.  The lionfish is usually found in coral reefs of tropical waters, hovering in caves or near crevices.  Native regions as well as Savannah, Georgia; Palm Beach and Boca Raton, Florida; Long Island, New York; Bermuda and possibly Charleston. In southern Florida and off the coast of the Carolinas in early to mid 1990s.

Answer:I really don't know sorry

Explanation:

Answer:

1) The Newton's law the Hulk is most closely demonstrating is the Third Law of motion

Newton's third law of motion states that action and reaction are equal and opposite.

2) The reason why the Newton's Law the Hulk is most closely demonstrating is the Newton's Third Law of Motion is that according to Newton's Third Law of motion, forces exist in pairs, the action of the Hulk when he leaps upward by pushing against the the Earth (which can be assumed stationary in relation to the Hulk), is equal to the reaction of the Earth, which moves down slightly, away from its initial position.

However, due to the large mass of the Earth, compared to the mass of the Hulk, the downward motion of the Earth due to the reaction force (equal to the force with which the Hulk leaps) is negligibly small, such that the Earth can absorb the Hulk's leap force by reacting mainly locally, at the leap point  by forming a crater, while the Earth in general, remains in the same place

Explanation:

Answer:

True

Explanation:

Answer:

A malleable material is one in which a thin sheet can be easily formed by hammering or rolling. ... In contrast, ductility is the ability of a solid material to deform under tensile stress.

A power loss ride through function is limited to 1-2 seconds.

Typically, the length of the power loss ride-through function is created to offer a long enough buffer time to bridge the gap between the power loss and the power restoration. It enables the system or gadget to securely shut down without causing a sudden disruption to operations.

The application requirements, system criticality, energy storage or backup power capacity, and the time needed for power restoration or alternative power source activation can all be used to establish the precise duration of the ride-through function.

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The two resistances are calculated to be R = 6.63 ohm and r = 1.01 ohm when two situations are given.

Let the two resistances are r and R.

When they are connected in series,

V = 12 V

i = 1.57 A

When they are joined in series, the equivalent resistance is

Rs = r + R

So, By using Ohm's law

V = i × Rs

Rs = V / i = 12 / 1.57 = 7.64 ohm

R + r = 7.64 ohm  ----(1)

When they are connected in parallel:

V = 12 V

i = 10.5 A

When connected in parallel, the equivalent resistance,

Rp = (R + r)/(R r)

So, By using Ohm's law

V = i Rp

Rp = V / i = 12 / 10.5 = 1.14 ohm ----(2)

(R + r)/(R r) = 1.14

By substituting the value of R + r from equation (1) in equation (2), we get

r R = 7.64/1.14

r R = 6.70 ohm² ----(3)

R - r = √[(R+r)² -4 R r] = √[ 7.64² - 4× 6.7] = √[ 58.37 - 26.8] = √ 31.57 = 5.62 ohm

R - r = 5.62 ----(4)

(1) + (4) = 2R = 13.26

So, R = 6.63 ohm

r = 1.01 ohm

Thus, the two resistances are R = 6.63 ohm and r = 1.01 ohm.

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The ratio of the radius of the motion of particle A to that of particle B is closest to 1:5 or 1/5.

The acceleration of the particle is given as;

a = v²/r

Where v is the velocity of the particle.

Hence, the ratio of the acceleration of the particles is given as;

a₁/a₂ = v₁²/v₂²... (1)

The period of a particle in uniform circular motion is given as;

T = 2πr/v

Where v is the velocity of the particle in circular motion.

Hence, the ratio of the periods of the particles is given as;

T₁/T₂ = r₁/r₂... (2)

From equation (1);

a₁/a₂ = v₁²/v₂²

Let us assume the velocity of the particle B to be V then;

8.5 = v₁²/V²

V = v₁/√8.5

Let the period of particle A be T, then from the question, the period of particle B is 2T.

T₁/T₂ = r₁/r₂

T/T2 = r₁/r₂

From equation (2);

T/T₂ = r₁/r₂

Let the radius of the particle B be r.

Then, the radius of particle A is;

8.5 = v₁²/V²

v₁²/V² = 8.5

v₁/√8.5 = 2.915v₂

v₁/v₂ = 2.915r₂ = r/2

r₁/r₂ = T/T₂ = 1/2r₁/r = 1/5

Therefore, the ratio of the radius of motion of particle A to that of particle B is 1:5, i.e. the closest to 1/5.

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Answer:

waxing cresent and waxing gibbous

Answer:

i think it is the full moon

Explanation:

tell me if am wrong

When the distance between two objects is doubled, the gravitational force between them is reduced by one-fourth.

Newton's law of gravitation states that an object attracts every other object in the universe with a force that is directly proportional to the product of their masses and inversely proportionate to their square distances from one other. This force may be thought of as gravitational attraction.

So, when we double the distance between the two objects then force will get reduced to one-fourth as according to newton's law of gravitation, force is inversely proportional to the square of the distance between them.

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The number of Neon’s p-orbitals that are completely filled in its ground state is 3.

In Neon's case, since its p-orbitals are located on the second energy level, it contains a total of three p-orbitals 2px, 2py and 2pz and all three of them are filled as there are 4 electrons in s orbital and in total of 6 electrons in its p-orbital, thus completely filling it.

This configuration with all the orbitals completely filled also makes it a noble gas. It is due to the fact that it has no extra orbital to exchange electron from other element and form a bond.

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Answer:huh

Explanation:

The far point from the mirror can a person be and still see an upright, magnified image is focus i.e. 35cm from mirror.

The mirror is made out of a sphere which has its radius called the radius of curvature.

The focal length f is half of the radius of curvature R of the lens.

Given the radius of curvature is 70cm, then focal length will be 70/2 = 35cm.

The makeup mirror is a concave mirror which forms real and upright images. The magnified images are obtained when the object is placed between focus and mirror.

Thus, the far point is focus i.e. 35cm from mirror.

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Answer:

A

Explanation:

and that is a very strange question in physics ...

it actually depends on what state you are in.

California for example requires all to stop unconditionally, I think. while in many other states it is the rule, if the 4-lane road is separating both driving direction by a barrier or raised intermediate area, you don't have to stop when going in the opposite direction.

so, it is either A or D depending on your state.

B and C never apply.

Answer:

Question

A school bus in the oncoming lane of a 4-lane road is flashing. You should:

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ANSWER

A. Stop until the flashing red lights turn off.

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Answer:

Question

A school bus in the oncoming lane of a 4-lane road is flashing. You should:

\(====================================\)

ANSWER

A. Stop until the flashing red lights turn off.

\(====================================\)

#CarryOnLearning

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Here, we are required to determine which chemical formula is the product of the reaction between CaO and C02 given that matter is neither created nor destroyed.

The chemical formula of the product of this reaction is ; CaCO3.

The law of conservation of mass is the basis for the balancing of equations of chemical reactions.

The law states that matter( which is the building block of mass) can neither be created nor destroyed.

Therefore, in a reaction where one molecule of calcium oxide, CaO, and one molecule of carbon dioxide, CO2, combine in a chemical reaction to form one substance;

The chemical formula of the product of this reaction is ; CaCO3.

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Answer:

0.5V

Explanation:

The formula for the potential difference is V=W/Q where W is the work and Q is the charge.

10/5 = 0.5

Hope this helped!

We know that the energy of electromagnetic radiation is given by:

where E is the energy, h is Planck's constant and f is the frequency. Before we can use this formula we need to convert the amount of energy given to J so let's do that:

Now that we have the energy of the radiation, we plug it on the energy equation and solve for the frequency:

Therefore, the frequency of the cell phone electromagnetic radiation is:

Now that we know the frequency we just need to remember that the frequency and wavelength of electromagnetic radiation are related by:

Then we have:

Therefore, the wavelength is 0.111 m

Answer:

Mass of water: 43 g

Explanation

hope it helps

Check the images.. it has a few different questions and answers! Hope it helps

Answer:

a. 10.2 N b. 1.73 c. 58.8 N d. 10.2 N

Explanation:

a. The force that will make the block slide down the plane

This is the component of the block's weight along the plane F = mgsinθ where m = mass of block = 1.2 kg, g = 9.8 m/s² and θ = angle of incline = 60°.

So, F = mgsinθ = 1.2 kg × 9.8  m/s² × sin60°.= 10.18 N ≅ 10.2 N

b. The coefficient of friction

The coefficient of friction, μ = tanθ = tan60° = 1.73

c. The normal reaction.

This is equal to the vertical component of the block's weight. So, F = mgcosθ. Substituting the values for the variables from above, we have

F = mgcosθ = 1.2 kg × 9.8  m/s² × cos60°.= 58.8 N

d. The frictional force

Since the block does not slide, there is no net force on it. If f is the frictional force, then

F - f = ma. Since a = acceleration = 0,

F - f = 0

f = F = mgsinθ = 1.2 kg × 9.8  m/s² × sin60°.= 10.18 N ≅ 10.2 N

The coordination complex [V(H2O)6]3+ can be identified as paramagnetic. Paramagnetic substances are weakly attracted to a magnetic field and exhibit magnetic properties. Therefore, [V(H2O)6]3+ is paramagnetic.

Paramagnetic substances are attracted to a magnetic field due to the presence of unpaired electrons, whereas diamagnetic substances are not affected by a magnetic field as all the electrons are paired. To determine the magnetic nature of [V(H2O)6]3+, we need to examine the electron configuration of the central vanadium (V) ion.

Vanadium (V) has an atomic number of 23, and its electronic configuration in the ground state is [Ar] 3d3 4s2. When vanadium forms coordination complexes, it often utilizes its d-orbitals for bonding. In [V(H2O)6]3+, the vanadium ion is in a +3 oxidation state, which means it has lost three electrons from its neutral state. Therefore, we remove the electrons from the 4s and 3d subshells to obtain the electron configuration of [V(H2O)6]3+ as [Ar] 3d2.

The 3d2 configuration indicates that two of the five 3d orbitals of vanadium are occupied by electrons, leaving three unpaired electrons. Since [V(H2O)6]3+ has unpaired electrons, it is paramagnetic.

Identify each of the following coordination complexes as either diamagnetic or paramagnetic

[ZnCl4^2-]

[Pd(NH3)2CL2]

[V(H2O)6]3+

Ni(en)3]2+

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A promising evidence of a habitat that might support life on the planet Mars is water.

There is evidence supporting the existence of liquid water on Mars from numerous sources. The finding of repeated black streaks on Martian slopes and the presence of hydrated minerals suggest the potential of seasonal or location-specific briny water flows. A necessary component of life as known is liquid water.

Additionally, Mars possesses underground ecosystems that could provide defence against radiation and severe surface conditions. Researchers have found evidence of ancient underground hydrothermal systems as well as beneath ice. These settings might offer consistent conditions for the development of microbial life.  Methane gas has been found in the Martian atmosphere, along with variations over time, and this has led to questions regarding its origin. Both geological and biological processes can result in the production of methane.

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Answer:

\(mgh = \frac{1}{2} m {v}^{2} \\ v = \sqrt{2gh} \\ = \sqrt{2 \times 9.8 \times 10} \: m. {s}^{ - 1} \)

Explanation:

Question 4

Force is represented using letter F

the force formula f = ma

Question 5

mass = 0.43kg

acceleration = 49.4m/s²

Force = ?

Remember that force F = ma

Now substitute, F = 0.43 × 49.4 = 21.2N

Answer:

S = V0 t + 1/2 a t^2      net distance traveled

5.2 = a/2 * 25

a = 10.4 / 25 = ,416 m / s^2

F = m * a

m = F / a = 24 / .416 = 57.7 N

Answer:

44.44 seconds

Explanation:

You just do 1200/27

The velocity of the ride after 2.3 s is 22.54 m/s and the distance of fall is 25.291 m.

Velocity is the directional speed of an object in motion as a demonstration of its price of change in position as located from a selected frame of reference and as measured by a particular popular of the time.

Velocity is the top indicator of the location in addition to the rapidity of the item. it may be defined as the gap blanketed by means of an item in unit time. pace can be defined because of the displacement of the item in unit time.

Velocity is the quickness of movement or motion. A synonym is a celerity; an easier phrase is velocity. In physics, speed specifically refers to the size of the fee and the path of exchange in the position of an item. it's miles a vector amount that specifies both the speed of a frame and its path of movement.

For velocity:-

v = u + at

  = 0 + 9.8 × 2.3

  = 22.54 m/s

For distance:-

S = ut + 1/2at²

since the initial velocity is 0.

S =  1/2 at²

   = 1/2 × 9.8 × (2.3)²

    = 25.291 m

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The spring constant of the spring is 10,000 N/m.

The constant is a fixed value that does not change in response to external influences. It is often used in mathematics to represent a number that remains constant despite changes in the context or situation. In physics, constants are used to represent physical properties of matter, such as the speed of light or the force of gravity. In computing, constants are used to represent values that need to be used multiple times within a program. Constants can be used to improve code readability and maintainability, as well as to prevent errors associated with using the same value multiple times.

The spring constant, k, is a measure of how stiff the spring is; it is equal to the ratio of the force applied to the spring divided by the amount of displacement (or compression) of the spring. Therefore, the spring constant of the spring can be calculated as:

k = F/x

= 100 N/0.010 m

= 10,000 N/m

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Explanation:

Hello, nice to meet you.

this answer will help for you