Hyperbola write an equasion with foci (0,3)(0,-3) and difference of foci radii 3

The net force on particle q₂, located between particles q₁ and q₃, is approximately 189000 N. The force exerted by particle q₁ on q₂ is positive and equals 252000 N, while the force exerted by particle q₃ on q₂ is negative and equals -63000 N.

To find the net force on particle q₂, we need to calculate the individual forces exerted on q₂ by particles q₁ and q₃ and then determine their sum.

The force between two charged particles can be calculated using Coulomb's law:

F = k * |q₁ * q₂| / r²

Where F is the force between the particles, k is the electrostatic constant (k ≈ 9.0 x \(10^9\) Nm²/C²), q₁ and q₂ are the charges of the particles, and r is the distance between them.

First, let's calculate the force exerted on q₂ by q₁:

F₁₂ = k * |q₁ * q₂| / r₁₂²

F₁₂ = (9.0 x \(10^9\) Nm²/C²) * |(8.0 μC) * (3.5 μC)| / (0.10 m)²

F₁₂ ≈ 252000 N

The force is positive because q₁ and q₂ have opposite charges.

Next, let's calculate the force exerted on q₂ by q₃:

F₂₃ = k * |q₂ * q₃| / r₂₃²

F₂₃ = (9.0 x \(10^9\)Nm²/C²) * |(3.5 μC) * (-2.5 μC)| / (0.15 m)²

F₂₃ ≈ -63000 N

The force is negative because q₂ and q₃ have the same charge.

Finally, we can find the net force on q₂ by summing the individual forces:

Net force = F₁₂ + F₂₃

Net force = 252000 N + (-63000 N)

Net force ≈ 189000 N

The net force on particle q₂ is approximately 189000 N.

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a) The average force with which the woman pushed the man is 210 N.

b.  the woman's recoil speed is still 3.68 m/s

c.  If  she now throws her 2.50-kg purse at him at a 20.0° angle, the speed is 0.

We first calculate  the Momentum  = (70.0 kg)(-1.50 m/s) + (55.0 kg)(v) + (2.50 kg)(-1.50 m/s)

0 = (70.0 kg)(0 m/s) + (55.0 kg)(v) + (2.50 kg)(-1.50 m/s) - (70.0 kg)(-1.50 m/s)

v = 3.68 m/s

Δp = (70.0 kg)(1.50 m/s) - (70.0 kg)(0 m/s) = 105 kg·m/s

The average force exerted on the man by the woman is:

Average force =   Δp / Δt

Average force  = 105 kg·m/s / 0.500 s

Average force  = 210 N

b) The woman's recoil speed is :

0 = (70.0 kg)(-1.50 m/s) + (55.0 kg)(v) + (2.50 kg)(-1.50 m/s)

v = 3.68 m/s

c) If the woman throws her 2.50-kg purse at the man at a 20.0° angle, we apply the conservation of momentum equation in two dimensions and get the speed as 0.

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Answer:

Erosion is the wearing away if land by forces such as water and wind. It has created things such as mountain peaks, valleys and coastlines.

The given situation can be illustrated as follow:

The red circles repersent the magnetic field produced by the currents on the wire.

As you can notice, between the wires the direction of the magnetic field is the same.

Consider that the magnetic field produced by a current I in a wire, at a distance r, is given by the following formula:

where,

r: distance at the center betwen the wires = 0.20m/2 = 0.10m

μ0: permeability of free space = 4π*10^-7 Tm/A

Then, the total magnetic field between the wire is the sum of the magnetic fields generated by each wire:

The question is incomplete. The complete question is :

Calculate the wavelength of the electromagnetic radiation required to excite an electron from the ground state to the level with n = 6 in a one-dimensional box 34.0 pm in length.

Solution :  

In an one dimensional box, energy of a particle is given by :

\($E=\frac{n^2h^2}{8ma^2}$\)

Here, h = Planck's constant

         n = level of energy

           = 6

         m = mass of particle

         a = box length

For n = 6, the energy associated is :

\($\Delta E = E_6 - E_1 $\)

\($\Delta E = \left( \frac{n_6^2h_2}{8ma^2}\right) - \left( \frac{n_1^2h_2}{8ma^2}\right) $\)

     \($=\frac{h^2(n_6^2 - n_1^2)}{8ma^2}$\)

We know that,

\($E = \frac{hc}{\lambda} $\)

Here, λ = wavelength

         h =  Plank's constant

         c = velocity of light

So the wavelength,

 \($= \frac{hc}{E}$\)

 \($=\frac{hc}{\frac{h^2(n_6^2 - n_1^2)}{8ma^2}}$\)

\($=\frac{8ma^2c}{h(n_6^2 - n_1^2)}$\)

\($=\frac{8 \times 9.109 \times 10^{-31}(0.34 \times 10^{-10})^2 (3 \times 10^8)}{6.626 \times 10^{-34} \times (36-1)}$\)

\($= \frac{ 8 \times 9.109 \times 0.34 \times 0.34 \times 3 \times 10^{-43}}{6.626 \times 35 \times 10^{-34}}$\)

\($=\frac{25.27 \times 10^{-43}}{231.91 \times 10^{-34}}$\)

\($= 0.108 \times 10^{-9}$\)  m

= 108 pm

Answer:

W = F * S = 300 N * 30 m = 9000 Joules

This is the work out of the system regardless of how the pulleys are arranged

Conservation of energy tells that

Work Out = Work In - Work done by friction

So Work In = 9000 J + 2000 J = 11000 J      The work input to the system

The initial velocity of the car is 26.9 m/s [S], and the final velocity is 0 m/s [S]. The time taken for the car to come to a stop is 2.61 s. Using the formula:

acceleration = (final velocity - initial velocity) / time

we can find the car's acceleration:

acceleration = (0 m/s - 26.9 m/s) / 2.61 s

acceleration = -10.305 m/s^2

The negative sign indicates that the car is decelerating, or slowing down.

To calculate the force acting on the car during the deceleration, we can use Newton's second law:

force = mass x acceleration

force = (1.18 × 10^3 kg) x (-10.305 m/s^2)

force = -12,166.1 N

The force acting on the car during deceleration is -12,166.1 N, or approximately 12.2 kN.

The insect's velocity is 0.2 meter/second along east.

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.

Given parameters:

An insect crawls 4 m east along a hiking path.

Time taken by it: t = 20 seconds.

We have to fine: the insect's velocity, v =?

So, the magnitude of velocity: v= 4/20 meter/second = 0.2 meter/second.

And the direction velocity is along east.

Hence,  the insect's velocity is 0.2 meter/second along east.

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Answer:

Concussion is the most common type of mild traumatic brain injury and can have serious consequences

Explanation:

You will take 3 second to stop and you will go 9 meters far.

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.

Given that:

Initial velocity: u = 6 m/s.

deceleration: a = 2 m/s^2.

Final velocity = 0 m/s.

We have to find:  time: t = ? and distance travelled: s = ?

So, time taken to stop = v/a = 6/2 second = 3 second.

Distance travelled in this process: s = v^2/2a = (6×6)/(2×2) meter = 9 meter.

Hence, you will take 3 second to stop and you will go 9 meters far.

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Answer:

Therefore, the average acceleration during the time interval of 0 seconds to 1.1 seconds, with the initial velocity of 0 km/h and the final velocity of 100 km/h, is approximately 25.3 m/s².

Explanation:

To calculate average acceleration, we need to know the change in velocity and the time interval over which the change occurs. In this case, we are given the initial velocity (v1) as 0 km/h and the final velocity (v2) as 100 km/h during a time interval of 1.1 seconds.

First, we need to convert the velocities to m/s:

v1 = 0 km/h = 0 m/s

v2 = 100 km/h = 27.8 m/s (rounded to one decimal place)

The change in velocity (Δv) is:

Δv = v2 - v1

   = 27.8 m/s - 0 m/s

   = 27.8 m/s

The time interval (Δt) is given as 1.1 seconds.

Now, we can calculate the average acceleration (a) using the formula:

a = Δv / Δt

Substituting the values:

a = 27.8 m/s / 1.1 s

  = 25.3 m/s² (rounded to one decimal place)

When a heat engine is operating between two temperatures (QH>QC), the maximum efficiency attainable is Carnot efficiency .

Carnot efficiency is the maximum theoretical efficiency of a heat engine, defined as the ratio of the work done by the engine to the heat absorbed from a high temperature source, as described by the Carnot cycle.

It is considered as the most efficient possible cycle for converting heat into useful work, and serves as an upper bound for the efficiency of all heat engines.

The Carnot efficiency is expressed as a function of the temperature difference between the hot and cold sources, and is independent of the working fluid or materials used in the engine.

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Answer:

Tp calculate the length of the gentle slide, first need to calculate the of water slide.

\(tan (62^{0})= \frac{h}{2.48}\)

\(h= 2.48*1.88\)

\(h=4,664m\)

Then, the length of gentle side:

\(sin(35^{0} )=\frac{4.664}{y}\)

\(0.57=\frac{4.664}{y}\)

\(y=8.182m\)

The length of gentle slide is 8.182m

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To find the speed of a star in which the hydrogen transition from level 2 to level 1 appears at wavelength 120.8 nm, we can use the Doppler effect. The Doppler effect states that the observed wavelength of light (λobs) emitted by a moving object will be shifted relative to its rest wavelength (λrest) by an amount proportional to the object's velocity (v) with respect to the observer:

λobs = λrest * (1 + v/c)

where c is the speed of light.

In this case, we can use the known rest wavelength of the transition (121.6 nm) and the observed wavelength (120.8 nm) to solve for the velocity:

120.8 nm = 121.6 nm * (1 + v/c)

Solving for v, we get:

v = c * (120.8 nm - 121.6 nm) / 121.6 nm = -12.5 * 10^5 m/s

This is the velocity of the star away from the observer.

To find the speed for a star in which this line appears at wavelength 121.1 nm, we can use the same formula:

v = c * (121.1 nm - 121.6 nm) / 121.6 nm = -2.5 * 10^5 m/s

To find the speed for a star in which this line appears at wavelength 121.8 nm, we can use the same formula:

v = c * (121.8 nm - 121.6 nm) / 121.6 nm = -0.8 * 10^5 m/s

The doppler effect is a physics phenomenon related to the perceived frequency variation of a moving wave relative to an observer.

This effect was studied by the Austrian physicist Christian Doppler (1803-1853) and the discovery was named after him. Hence, the doppler effect.

The doppler effect can be observed in any and all electromagnetic waves, such as light, or mechanical waves, such as sound.

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Answer:

30 km/h

Explanation:

V=S:t

speed=length:time

150:5=30

Answer:

animals and wildlife (c)

Explanation:

Ecotourism is essentially tourism of nature--which highly incorporates animals/wildlife

> it usually has a goal of conservation of nature

poaching is illegally hunting wild animals, which is focused on an aspect of nature protection (which is why it is ecotourism)

the only option listed here that is about ecotourism is animals and wildlife (c), meaning that this is the correct fill-in

hope this helps! have a lovely day :)

Interpreting Graphics The velocity-versus-time graph for a shuttle bus moving along a straight path is shown in Figure 13., all the answer is attached.

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.

a) The time intervals during which the velocity of the shuttle bus is constant: 50 s to 150 s.

b) The time intervals during which the acceleration of the shuttlebus is constant: 500 s to 600s.

c) The value for the average velocity of the shuttle bus during time interval identified in b is: ( -3 +(-5))/2 =m/s = - 4 m/s.

d) The acceleration of the shuttle bus during time interval identified in b = ( -3 +(-5))/(600 - 500) m/s² = 0.02 m/s²

.e) The times at which the velocity of the shuttle bus is zero is : 200s to 300s.

f) The times at which the acceleration of the shuttle bus is zero is : 50s to 150s.

g) The slope of the graph reveals about the acceleration in each time interval that when it is positive the car is accelerated, when it is negative, the car is decelerated.

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Answer:

intensity

Explanation:

b. example, The sun is very bright and intense. and sounds can be very loud.

Answer:

v₃ = 3.33 [m/s]

Explanation:

This problem can be easily solved using the principle of linear momentum conservation. Which tells us that momentum is preserved before and after the collision.

In this way, we can propose the following equation in which everything that happens before the collision will be located to the left of the equal sign and on the right the moment after the collision.

\((m_{1}*v_{1})+(m_{2}*v_{2})=(m_{1}+m_{2})*v_{3}\)

where:

m₁ = mass of the car = 1000 [kg]

v₁ = velocity of the car = 10 [m/s]

m₂ = mass of the truck = 2000 [kg]

v₂ = velocity of the truck = 0 (stationary)

v₃ = velocity of the two vehicles after the collision [m/s].

Now replacing:

\((1000*10)+(2000*0)=(1000+2000)*v_{3}\\v_{3}=3.33[m/s]\)

The current flowing in the 2Ω and 1Ω is 1.14 A and the current flowing in the 3Ω and 4Ω is 0.286 A.

The value of the current in each resistor is calculated by applying Kirchoff voltage law as follows;

The total voltage in loop 1 is calculated as;

2 + 4 - I₁R₁ - (I₁ - I₂)R₂ - I₁R₃ = 0

6 - 2I₁ - 3(I₁ - I₂) - 1₁ = 0

The current flowing in loop 2 is calculated as;

I = V/R

I₂ = ( 6 V - 4 V ) / (3 + 4)

I₂ = 0.286 A

The value of the current flowing in loop 1 is calculated as;

6 - 2I₁ - 3(I₁ - I₂) - 1₁ = 0

6 - 2I₁ - 3(I₁ - 0.286) - 1₁ = 0

6 - 3I₁ - 3₁ + 0.858 = 0

-6I₁ = -6.858

I₁ = 6.858 / 6

I₁ = 1.14 A

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The energy stored in the circuit at any time t is given by \(U = (1/2)L*I^{2} + (1/2)Q^{2} /C = (1/2)L*(V_{0} /R)^{2} *e^{(-2t/(R*C))} + (1/2)C*V_{0} ^{2} *(1 - e^{(-2t/(R*C)})).\)The units are in seconds.

The total energy stored in the circuit can be calculated using the formula: U = (1/2)L*I² + (1/2)Q²/C, where L is the inductance, I is the current, Q is the charge on the capacitor, and C is the capacitance.

Initially, the capacitor is uncharged, so the second term is zero.

Therefore, the initial energy stored in the circuit is U₀ = (1/2)L*I₀², where I₀ is the initial current, which is zero.

When the magnetic field is switched on, a current begins to flow in the solenoid.

This current increases until it reaches its maximum value, given by I = V/R, where V is the voltage across the solenoid and R is its resistance.

Since the solenoid is connected in series with the capacitor, the voltage across the solenoid is equal to the voltage across the capacitor, which is given by V = Q/C, where Q is the charge on the capacitor.

The charge on the capacitor is given by Q = C*V, where V is the voltage across the capacitor at any time t.

Therefore, we have I = V/R = Q/(R*C) = dQ/dt*(1/R*C), where dQ/dt is the rate of change of charge on the capacitor.

This is a first-order linear differential equation, which can be solved to give \(Q(t) = Q_{0} *(1 - e^{(-t/(R*C)}))\), where Q₀ is the maximum charge on the capacitor, given by Q₀ = C*V₀, where V₀ is the voltage across the capacitor at t=0.

The current in the solenoid is given by I(t) = \(dQ/dt*(1/R*C) = (V_{0} /R)*e^{(-t/(R*C)}).\)

The energy stored in the circuit at any time t is given by\(U = (1/2)L*I^{2} + (1/2)Q^{2} /C = (1/2)L*(V_{0} /R)^{2} *e^{(-2t/(R*C))} + (1/2)C*V_{0} ^{2} *(1 - e^{(-2t/(R*C)})).\)

The time t at which the energy stored in the circuit drops to 10% of its initial value can be found by solving the equation U(t) = U₀/10, or equivalently, \((1/2)L*(V_{0} /R)^{2} *e^{(-2t/(R*C)}) + (1/2)C*V_{0} /R)^{2}*(1 - e^{(-2t/(R*C)})) = (1/20)L*I_{0} /R)^{2}.\)

This equation can be solved numerically using a computer program, or graphically by plotting U(t) and U₀/10 versus t on the same axes and finding their intersection point.

The solution is t = 1.74 ms.

The units are in seconds.

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Answer:

shivering raises your body temperature

Answer:

mark me brainliest

Explanation:

The change of temperature at absolute scale is. A. 3.73 K

Answer:

373K

Explanation:

300°c - 200°c =100°c

Absolute scale means Kelvin scale so

0°c= 273°c

100°c = 100 + 273

=373K

Answer:

The ratio of the model size is 1 : 2000

Explanation:

Given

Real Diameter =  0.012 um

Scale Diameter =  24 um

Required

Determine the scale ratio

The scale ratio is calculated as follows;

\(Scale = \frac{Real\ Measurement}{Scale\ Measurement}\)

Substitute values for real and scale measurements

\(Scale = \frac{0.012\ um}{24\ um}\)

Divide the numerator and the denominator by 0012um

\(Scale = \frac{1}{2000}\)

Represent as ratio

\(Scale = 1 : 2000\)

Hence, the ratio of the model size is 1 : 2000

Answer:

Explanation: The Answer Is D Two Thousand & The Number



Answer:

D

Explanation:

Unbalanced forces move stuff. Gravity would only increase/decrease movement if the object was already in motion.

Answer:

b

Explanation:

(C)

...........................

Answer:

Hope this helps!

Explanation:

Answer:

Organizing and making sense of behavioral observations is central to psychology’s goal of explanation.