how fast would she have to be running for her race to appear to her to be only 91 yd long? give your answer in terms of c.

A nickel atom has an atomic number of 28 and an atomic mass of 59. It has a central nucleus composed of 28 protons and 31 neutrons, surrounded by an electron cloud containing 28 electrons.

The atom consists of matter that may be split without releasing electrical charges.

It's also the smallest unit of matter with chemical element features. As a result, the atom is the fundamental unit of science.

In the nucleus, proton and the neutron is existing. The condition of the atom to be electrically neutral is that the number of the proton and electron should be the same.

A nickel atom has an atomic number of 28 and an atomic mass of 59. In the nucleus, proton and the neutron is existing,the atom is the fundamental part of the particle.

In that, condition, It has a central nucleus composed of 28 protons and 31 neutrons, surrounded by an electron cloud containing 28 electrons.

Hence, option A is correct.

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The theory astronomers use to rectify the apparent problem of insufficient time to form Jovian planets is the core-accretion model

Jovian planets are giant gas planets, such as Jupiter, Saturn, Uranus, and Neptune, that are thought to have formed far from the sun. The core accretion model is a widely accepted theory in astronomy that explains the formation of Jovian planets. This model proposes that the core of a Jovian planet forms first by the collision and accumulation of solid particles, followed by the accretion of gas onto the solid core.

The solid core acts as a seed for the gas to accumulate around, eventually forming the giant gas planet. The theory has been supported by observations of young stars that show evidence of disk structures around them, which is consistent with the core-accretion model. By using this theory, astronomers can explain the apparent problem of insufficient time to form Jovian planets in the universe. So therefore astronomers use the core-accretion model to rectify the apparent problem of insufficient time to form Jovian planets.

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The average speed of person is  21.87 m/s.

Given data:

The first 100 m distance is covered in 5 minutes.

Next, 200 m distance is covered in 7 minutes.

And finally, the distance of 50 m is covered in 4 minutes.

The average speed of any object is defined as the total distance covered by object in an entire journey divided by the total time taken to cover the journey. The mathematical expression for the average speed of person is,

\(v_{av.}=\dfrac{D_{total}}{t_{total}}\\\\\\v_{av.}=\dfrac{100 +200+50}{5+7+4}\\\\\\v_{av.}=21.87 \;\rm m/min\)

Thus, we can conclude that the average speed of person is  21.87 m/min.

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I am not entirely sure but I think it is:

Answer:

Efficiency in general means How well an object does with respect to its designated purpose for example a battery with Voltage of 10 volts won't exert 10 volts but slightly less due to internal resistance let's say 8V so efficiency will be 8/10 x100 = 80%

Same thing with a machine/engine If an engine is designed to produce 150 horsepower it won't give you the full energy due to part of the energy being dissipated in form of heat due to friction so let's say 145 hp is produced which is 96% efficiency

Initial speed (u) = 0 m/s (Starts from rest)

Final speed (v) = 280 m/s

Acceleration (a) = 5.6 m/s²

By using equation of motion, we get:

\( \bf \longrightarrow {v}^{2} = {u}^{2} + 2as \\ \\ \rm \longrightarrow {280}^{2} = {0}^{2} + 2 \times 5.6 \times s \\ \\ \rm \longrightarrow 78400 = 11.2s \\ \\ \rm \longrightarrow 11.2s = 78400 \\ \\ \rm \longrightarrow s = \dfrac{78400}{11.2} \\ \\ \rm \longrightarrow s = 7000 \: m \\ \\ \rm \longrightarrow s = 7 \: km\)

\( \therefore \) Distance travelled by the car (s) = 7 km

The path of the bullet is altered by the magnetic field after it has traveled 1500 m.

Magnetic field is an area in which an object experiences a force because of being placed within it. When the bullet is moved through a magnetic field, it experiences a force that alters its course from a straight line.

The force that a moving charged particle experiences as it travels through a magnetic field is known as the magnetic force.

Because the bullet is moving, the charge in the bullet is experiencing a magnetic force as a result of the magnetic field.The path of the bullet is altered by the magnetic field after it has traveled 1500 m.

The path of the bullet may be altered in various ways depending on the strength of the magnetic field and the velocity of the bullet.

When a magnetic field is generated in the vicinity of the bullet, the bullet's trajectory is modified. The bullet will always curve to the right or left, depending on the direction of the magnetic field.

The force acting on a charge traveling through a magnetic field is proportional to the speed of the charge, the charge on the charge, and the strength of the magnetic field.

Therefore, if a bullet is traveling at a high speed and encounters a strong magnetic field, it will be deflected in a sharp curve, resulting in a significant path deviation.

The path deviation of a bullet moving through a magnetic field after it has traveled 1500 m can be determined using the equation:f = (qVB)/m

where f is the force on the charged particle, q is the charge on the particle, V is the velocity of the particle, B is the magnetic field strength, and m is the mass of the charged particle.

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The connection between yield strength in shear (ssy) and tensile yield strength (syt), according to the distortion energy hypothesis of failure, is Concept.

According to this hypothesis, defeat by yielding happens when the warping energy per unit volume in a condition of combined stress develops to be equivalent to that associated with yielding in a straightforward pressure test at any location in the body.

Which distortion energy hypothesis is the most accurate?

According to this idea, a ductile fabric will yield in a simple tension test when its grimace energy per unit volume (ud) exceeds its distortion energy per unit volume (ud)Y at the yield point.

What is the failure criterion's maximum misshaping energy theory?

The maximum distortion energy loss hypothesis postulates that failure by yielding will take place when the material's distortion power reaches the same level as in a tension test at yield.

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When a ferromagnetic material is placed in an electromagnetic coil and a magnetic field is applied, the magnetic induction (B) is increased.

Therefore, the correct answer is:

(a) There is a large increase in the magnetic induction (B)

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Answer:

I kinda dont remember the 1st law so search it up on

and it should tell u , but if u need any help from the

Viscosity is a measure of a fluid's resistance to flow or deformation. It is often described as the thickness or "stickiness" of a fluid. The higher the viscosity, the more difficult it is for a fluid to flow.

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Answer:

https://brainly.com/question/24997963 this will help you. You need to sq rt the added values then divide a+b by the square value. Keeping anything thats negative negative if negative is answer and set to = cos theta. then convert from cos theta = 1 cos will = 0. But if cos theta = decimal then ensure its positive number and that's your answer. Formula a+b/ sqrt a+b

Explanation:

Answer:

magnitude and a direction

Explanation:

Answer:

the final volume of the gas is 1.923 L.

Explanation:

Given;

initial pressure, P₁ = 8.4 atm

initial volume of the gas, V₁ = 1.9 L

final pressure of the gas, P₂ = 8.3 atm

The final volume of the gas is calculated by applying Boyle's law as follows;

P₁V₁ = P₂V₂

V₂ = P₁V₁ / P₂

V₂ = (8.4 x 1.9) / 8.3

V₂ = 1.923 L

Therefore, the final volume of the gas is 1.923 L.

The eccentricity of the object's orbit can be determined by using the ratio of its maximum angular speed to its minimum angular speed.

Let's denote the maximum angular speed as ω_max and the minimum angular speed as ω_min. We are given that the ratio of these two speeds is n:

n = ω_max / ω_min

The angular speed (ω) is related to the angular momentum (L) and the moment of inertia (I) of the object by the equation:

L = Iω

Since the object moves in an inverse square centripetal force field, the angular momentum (L) is conserved. Therefore, we can write:

L_max = L_min

Iω_max = Iω_min

The moment of inertia (I) can be expressed as the product of the mass (m) and the square of the distance (r) from the object to the axis of rotation:

I = mr^2

Substituting this into the equation above, we get:

m(r^2)ω_max = m(r^2)ω_min

Canceling out the mass (m) and the square of the distance (r^2), we obtain:

ω_max = ω_min

This implies that the maximum and minimum angular speeds are equal, contradicting the given ratio n = ω_max / ω_min. Therefore, there must be an error in the question or the provided information.

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Answer:

Explanation:

The impulse of an object can be found by using the formula

impulse = force × time

From the question we have

impulse = 10 × 3 = 30

We have the final answer as

Hope this helps you

Answer:

I = 1/2 M R^2       moment of inertia

Translational energy due to rotation

Er = 1/2 I ω^2 = 1/2 M R^2 ω^2 = 1/2 M V^2       since V = R ω

Thus (A) the translational KE is equal to the rotational energy and

Ek = Er + Et      for the total energy of the cylinder

Answer: 8

Explanation: 200/25=8

Answer:

The question does not state how the answer is to be entered. I would use 10% because that is most common.

Explanation:

You are using 300 J of energy to get 30 J of light energy. The fact that you can account for the left over energy is not relevant.

Efficiency = Work Out / Work In

Efficiency = 30 J / 300 J  = 0.1

If you need this as a %, you can multiply by 100

Efficiency = 0.1 * 100 = 10%

The potential difference between the two ends of the circuit is the electric potential difference. The electric potential difference and the work will be 10V and 1.6 x 10^-18 J respectively.

An electric field is an electric property that is connected with any location in space where a charge exists in any form. The electric force per unit charge is another term for an electric field.

The given data in the problem is given by;

E is the electric field = (200 N/C)

d is the distance = 5.0 cm.=0.05 m

Q is the charge of electrons= 1.602 x 10^-19 C

The formula for electric potential  is given by;

\(\rm V=Ed\)

\(\rm V=Ed \\\\ \rm V=200 \times 0.05 \\\\ \rm V= 10 \frac{Nm}{C} = 10 \frac{J}{C} = 10 V.\)

The work is defined as the product of the potential difference and charge of an electron.

\(\rm W= 10 \times 1.602 x 10^{-19} \\\\\ \rm W= 1.6 x 10^{-18 }J\)

Hence the electric potential difference and the work will be 10V and 1.6 x 10^-18 J respectively.

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first part is 10 second part is 1.6

A cement base is usually unnecessary beneath a composite resin restoration because composite resin materials have adhesive properties that allow them to bond directly to the tooth structure.

1. Composite resin is a tooth-colored dental material commonly used for restorations such as fillings, inlays, and onlays.

2. Composite resin materials are composed of a mixture of resin and filler particles, which give them their strength and aesthetic properties.

3. One of the key advantages of composite resin is its ability to bond directly to the tooth structure, creating a strong and durable restoration.

4. The bonding process involves applying an adhesive bonding agent to the tooth surface, which is then cured to create a micromechanical bond between the composite resin and the tooth.

5. This bonding mechanism allows the composite resin to adhere securely to the tooth, creating a tight seal and preventing leakage or microleakage between the restoration and the tooth structure.

6. Additionally, composite resin materials have improved physical properties and wear resistance compared to earlier dental materials, making them suitable for use without a cement base.

7. In contrast, traditional dental materials such as amalgam or glass ionomer cement often require a cement base for retention purposes due to their different properties and mechanisms of retention.

8. The absence of a cement base beneath a composite resin restoration also allows for a more conservative tooth preparation, preserving more of the natural tooth structure.

9. However, it is important to note that in certain cases where the tooth structure is severely compromised or additional support is needed, a cement base or other techniques may be employed in combination with composite resin restorations.

10. Overall, the adhesive properties of composite resin materials eliminate the need for a cement base in most cases, providing a reliable and aesthetic restoration while preserving tooth structure.

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Diameter of the aluminum sphere is ∛ 7.77 m with the same mass as 11 l of water.

Mass of aluminum =11 L

Density of the aluminum=2700 kg/m³

Mass of water=11 L

Density of water=1000 kg/m³

Thickness is characterized as the mass per unit volume. In an article material is firmly pressed. This make sense of how firmly a material is stuffed together.

        Density= M/V

          V=M/density

           =  11 /2700 kg/m³= 4.07m³

The sphere's volume is the amount of space it occupies. This indicates how much space or air a sphere contained. The letter V stands for it. Diameter is the straight distance between the sides of the sphere. It is measured in cubic units and is denoted by d.

Putting the values into the sphere's volume expression,    

     V= π/6 .d³

   4.07 m³  = π/6 .d³

   d³ =4.07 m³ .6/3.14= 7.77 m³

   d= ∛7.77 m

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Answer:

Their common velocity after collision is 3.6 m/s

Explanation:

Given;

mass of the first meatball, m₁ = 3.0 kg

initial velocity of the first meatball, u₁ = 6.0 m/s

mass of the second meatball, m₂ = 2.0 kg

initial velocity of the first meatball, u₂ = 0 m/s

let their common velocity after collision = v

Apply the principle of conservation of linear momentum for inelastic collision ;

m₁u₁ + m₂u₂ = v(m₁ + m₂)

(3 x 6) + (2 x 0) = v( 3 + 2)

18 = 5v

v = 18 / 5

v = 3.6 m/s

Therefore, their common velocity after collision is 3.6 m/s

The amount of force required to stop an object, based on the forces of inertia and momentum, varies according to speed, weight, and the distance between impact and stop.

Inertia is the tendency of an object to remain in motion unless acted upon by an outside force, while momentum is the product of an object's mass and velocity. The amount of force required to stop an object is proportional to its mass, velocity, and the distance it needs to travel before it comes to a stop. The greater the mass, velocity, and distance, the more force is required to stop the object.

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The dimensions of the rectangle that maximize its area are 2000 m by 4000 m.

A farmer has 8 km of fencing wire and wishes to fence a rectangular piece of land, where one boundary of the land is the bank of a straight river.

To find the dimensions of the rectangle that will maximize its area, we need to use optimization techniques. Let the dimensions of the rectangular piece of land be l and w.

We know that one of the boundaries is the river, so we only need to enclose three sides of the rectangle. This gives us a total of 2l + w = 8000 (in meters).

We can use this information to solve for one of the variables in terms of the other.

For example: w = 8000 - 2l.

Now we can write the area of the rectangle in terms of l:

A = lw = l(8000 - 2l) = 8000l - 2l².

To maximize the area, we need to take the derivative of this expression with respect to l, and set it equal to zero:

dA/dl = 8000 - 4l = 0.

Solving for l gives us l = 2000.

Substituting this value into the equation for w gives us w = 4000.

Therefore, the dimensions of the rectangle that maximize its area are 2000 m by 4000 m.

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Answer:

Though pitch and frequency are not equivalent, they are correlated. This means that as one goes up, the other does as well. A higher frequency produces a higher pitch, and a lower frequency produces a lower pitch.

Explanation:

(a) Capacitance is =  1.10 x 10^-9 C (b) Magnitude is 2.75 x 10^-7 (c) Energy stored is 3.13 x 10^-6 J (d) New Capacitance is 2.95 x 10^-8 C (e) Charge on each plate is 7.38 x 10^-7 C (f) Energy is  3.70 x 10^-6 J (g) Max. voltage is 8.17 KV.

(a) The capacitance C of a parallel plate capacitor is given by the formula:

C = ε0 x A / d

where ε0 is the vacuum permittivity (8.854 x 10^-12 F/m), A is the area of the plates (0.80 m^2), and d is the separation between the plates (0.040 mm = 0.040 x 10^-3 m).

C = 8.854 x 10^-12 F/m x 0.80 m^2 / (0.040 x 10^-3 m) = 1.10 x 10^-9 F

So, the capacitance of the capacitor is 1.10 x 10^-9 F.

(b) The charge on each plate Q can be found using the formula:

Q = C x V

where V is the voltage applied to the capacitor (25 V).

Q = 1.10 x 10^-9 F x 25 V

= 2.75 x 10^-7 C

So, the magnitude of the charge on each plate is 2.75 x 10^-7 C.

(c) The energy stored in the capacitor can be calculated using the formula:

Energy = (1/2) x C x V^2

Energy = (1/2) x 1.10 x 10^-9 F x 25 V^2

= 3.13 x 10^-6 J

So, the energy stored in the capacitor is 3.13 x 10^-6 J.

(d) The new value of capacitance can be calculated using the formula:

C = εr x ε0 x A / d

where εr is the relative permittivity (310).

C = 310 x 8.854 x 10^-12 F/m x 0.80 m^2 / (0.040 x 10^-3 m)

= 2.95 x 10^-8 F

So, the new value of capacitance is 2.95 x 10^-8 F.

(e) For a voltage of 25 V, the charge on each plate can be found using the formula:

Q = C x V

Q = 2.95 x 10^-8 F x 25 V = 7.38 x 10^-7 C

So, the charge on each plate is 7.38 x 10^-7 C.

(f) The energy stored in the capacitor can be calculated using the formula:

Energy = (1/2) x C x V^2

Energy = (1/2) x 2.95 x 10^-8 F x 25 V^2

= 3.70 x 10^-6 J

So, the energy stored in the capacitor is 3.70 x 10^-6 J.

(g) The maximum voltage that can be placed across the capacitor can be calculated using the formula:

Vmax = d x ε x E / ε0

where ε is the dielectric constant (310), E is the electric field strength (8.0 kV/mm), and d is the separation between the plates (0.040 mm = 0.040 x 10^-3 m).

Vmax = 0.040 x 10^-3 m x 310 x 8.0 kV/mm / (8.854 x 10^-12 F/m)

= 8.17 kV

So, the maximum voltage that can be placed across the capacitor is 8.17 kV.

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