The movie "The Gods Must Be Crazy" begins with a pilot dropping a bottle out of an airplane. A surprised native below, who thinks it is a message from the gods, recovers it. If the plane from which the bottle was dropped was flying at a height of 500 m, and the bottle lands 400 m horizontally from the initial dropping point, how fast was the plane flying when the bottle was released? Draw a 2-dimensional motion map for the velocities and another for the acceleration.

[tex]4.315 \times10^{45}[/tex] unpaired electrons,are required each with a magnetic moment of 9.27 ×10⁻²⁴A.m² , to participate .

It is given that magnetic moment of the Earth is approximately 8.00 ×10²²A.m² .

Number of unpaired is found by dividing the magnetic moment of the Earth to the given magnetic moment of 9.27 ×10⁻²⁴A.m²

   [tex]n=\frac{8.00\times10^{22}}{9.27\times10^{-24}} \\\\n=8.63\times10^{45}[/tex]

Each iron atom has two unpaired electrons, so the number of iron atoms required is [tex]\frac{1}{2}\times 8.63\times10^{45}=4.315\times10^{45}[/tex] electrons.

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The magnitude of the force that one particle exerts on the other = [tex]6.8644 \times 10^{13}[/tex] N

Charge of one particle,[tex]Q_1[/tex] = -3.77  μC

Charge of the other particle,[tex]Q_2[/tex]  = 6.91 μC

The opposite signs of the charges implies the presence of force of attraction between the particles.

Given distance between particles, r = 5.84 cm = 0.0584 m

Coulomb's law states that the magnitude of the force exerted between two particles is directly proportional to the product of magnitude of charges of the particle and inversely proportional to the square of the distance between the particles.

From this we can infer the equation, [tex]F=\frac{kQ_1Q_2}{r^2}[/tex]

where F is the force between the particles and k =[tex]9\times 10^9 Nm^2C^{-2}[/tex] is the Coulomb's Constant.

So F = (9 x 10^9 x 3.77 x 6.91)/(0.0584 x 0.0584)

        = [tex]6.8644 \times 10^{13}[/tex] N

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The vector electric field is [tex]-1.73 \times 10^{4} {~}\hat{j} {~}N/C[/tex] .

A stream of charged particles, such as electrons or ions, flowing through an electrical conductor or a vacuum is known as an electric current.

One long wire carries a current I = 30.0 A to the left along the x-axis. I' = 50.0 A of current is being carried by a second lengthy wire to the right along the line (y = 0.280 m, z = 0).

Now,

The charge of a particle is q = - 2.00 μC which is moving with a velocity of [tex]v = 150\hat{i} {~}Mm/s[/tex].

At y = 0.1 m the total magnetic field is:

B = 1.16 × 10⁻⁴ T

Then the force on the particle is:

F =q(v × B)

[tex]F = (-2 \times 10^{-6} )[ ( 150 \times 10^{6})\hat{j} \times (1.16 \times 10^{-4})\hat{k} ][/tex]

F = 3.47 × 10⁻² N

A uniform electric field is applied.

Then the vector electric field will be:

F = qE

3.47 × 10⁻² = (-2 × 10⁻⁶ )E

[tex]E = -1.73 \times 10^{4}{~}\hat{j} {~}N/C[/tex]

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Answer:

Making the lumber thick will make it stiff, which seems good. On the other hand, with thicker lumber, differences in expansion on the two faces have more leverage to make the lumber move.

Answer:

D. Validity group

Explanation:

A validity group is not necessarily a component of a normal experiment.

A normal experiment is made up of the dependent variables, independent variables, and most times the control group.

Answer:

[tex]\rightarrow[/tex] Electric motors build energy through the interaction between magnetic fields.

Magnetic fields may be generated by passing a current through a wire. Winding that wire into a coil intensifies the sector. Wrapping the coil around an iron core can intensify it more. One is going to be of the coil are North, the other South. Reverse the flow of current through the coil. The magnetic poles can swap. Place 2 separate coils close to one another and organize them therefore one turns whereas the opposite is fastened. Then build arrangements for this within the moving coil to reverse even as the opposite poles are about to line up.

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Answer: 31kg

Explanation:

(F=mxa)

Rearranged

M=f÷a

961÷31=31

The tension in the rod when the ratio of speed is 8 is 1.34 × 10⁴ N.

The longitudinal waves speed is determined using the density of the material and the Youngs modulus with the expression:

v = √(Y/rho)

A wave in a stretched string can be used to represent the transverse wave.

The length of the metal rod is 150 cm and the radius of the rod is  cm.

The mass of the rod is 50.9 g.

Now, the Youngs modulus for the material is 6.80× 10¹⁰ N/m².

For the longitudinal wave

v(l) = (Y/ρ)^{1/2}

For the transverse wave :

v(T) = (Y/μ)^{3/2}

Now, we need

v(L) / v(T) = 8

And we know,

T = (μY) / (64ρ) where μ= m /L

And the density, ρ = mass / volume = (m) / (πr²L)

Therefore,

T = (πr²Y) / 64

T =  (π)(2 × 10⁻³)² × (6.8 × 10¹⁰) / 64

T = 1.34 × 10⁴ N

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Answer:

I think its D.

Explanation:

The range of potential energies of the wire-field system for different orientations of the circle are -

θ                  U

0°             375 π x [tex]10^{-7}[/tex]

90°              0

180°        - 375 π x [tex]10^{-7}[/tex]

We have current carrying wire in a form of a circle placed in a uniform magnetic field.

We have to the range of potential energies of the wire-field system for different orientations of the circle.

The formula to calculate the magnetic potential energy is -

U = M.B = MB cos [tex]$\theta[/tex]

where -

M is the Dipole Moment.

B is the Magnetic Field Intensity.

According to the question, we have -

U = M.B = MB cos [tex]$\theta[/tex]

We can write M = IA (I is current and A is cross sectional Area)

U = IAB cos [tex]$\theta[/tex]

U = Iπ[tex]r^{2}[/tex]B cos [tex]$\theta[/tex]

For [tex]$\theta[/tex] = 0° →

U(Max) = MB cos(0) = MB =  Iπ[tex]r^{2}[/tex]B = 5 × π × [tex]( 0.05 ) ^{2}[/tex] × 3 × [tex]10^{-3}[/tex] =

375 π x [tex]10^{-7}[/tex].

For [tex]$\theta[/tex] = 90° →

U = MB cos (90) = 0

For [tex]$\theta[/tex] = 180° →

U(Min) = MB cos(0) = - MB =  - Iπ[tex]r^{2}[/tex]B = - 5 × π × [tex]( 0.05 ) ^{2}[/tex] × 3 × [tex]10^{-3}[/tex] =

- 375 π x [tex]10^{-7}[/tex].

Hence, the range of potential energies of the wire-field system for different orientations of the circle are -

θ                  U

0°             375 π x [tex]10^{-7}[/tex]

90°              0

180°        - 375 π x [tex]10^{-7}[/tex]

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Answer:

the mantel

Explanation:

yeeeeaaaaaaa

The electric force on a due to b in component form = [tex]\bold{0\vec i+72\times10^{-9}\vec j\ N}[/tex]

Charge of A = 4 nC = [tex]4\times 10^{-9}[/tex] C

Charge of B = -8 nC = [tex]-8\times 10^{-9}[/tex] C

A is on the origin, (0,0) and B is at the point (0 cm,2cm).

Therefore, distance between charges A and B, r = [tex]\sqrt{(0-0^2)+(0-2)^2} =2[/tex]

Using Coulomb's law, the electric force is directly proportional to the product of charges and inversely proportional to the square of distance between charges.

i.e., [tex]F_{A\ on\ B}=\frac{kq_1q_2}{r^2}[/tex], where k = [tex]9\times 10^9 Nm^2C^{-2}[/tex], the Coulomb constant.

So [tex]F_{A\ on\ B}=\frac{9\times 10^9\times 4\times 10^{-9}\times 8\times 10^{-9}}{2^2} = \bold{72\times 10^{-9} N}[/tex]

Since there is no x-component for this force,

the electric force on a due to b in component form = [tex]\bold{0\vec i+72\times10^{-9}\vec j\ N}[/tex]

The question incomplete. Find the complete question here:

Object A, which has been charged to +4.0 nC is at the origin. Object B, which has been charged to -8.0 nC, is at (x, y)=(0.0 cm, 2.0 cm).  What is the electric force on A due to B in component form? Express your answer in terms of the unit vectors i and j. Use the 'unit vector button to denote unit vectors in your answer.

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Answer:

9.3e-8 Meters

Answer:

When 2 objects are in contact with one another and one of them receives a positive or a negative charge, then the objects  will repel one another because they are similarly charged.

Answer:

your answer is D

Explanation:

..........

Answer:

d

Explanation:

UsaTestPrep

Answer:

0.036J

Explanation:

Given parameters:

Spring constant , K  = 92N/m

Compression  = 2.8cm  = 0.028m

Unknown:

Potential energy  = ?

Solution:

To solve this problem;

          P.E  =[tex]\frac{1}{2}[/tex] K e²

 K is the spring constant

 e is the compression

so;

      P.E = [tex]\frac{1}{2}[/tex]  x 92 x 0.028²  = 0.036J

Answer:

4 A

Explanation:

From the question given above, the following data were obtained:

Voltage (V) = 12 V

Resistance (R) = 3 Ω

Current (I) =?

From ohm's law,

Voltage (V) = Current (I) × Resistance (R)

V = IR

With the above formula, we can obtain the current flowing in the circuit as illustrated below:

Voltage (V) = 12 V

Resistance (R) = 3 Ω

Current (I) =?

V = IR

12 = I × 3

Divide both side by 3

I = 12/3

I = 4 A

Therefore, the current flowing in the circuit is 4 A.

The critical adiabatic index in the presence of a solid core dynamical stability of giant planets is called adiabatic index.

In warm material science and thermodynamics, the intensity limit proportion, otherwise called the adiabatic record, the proportion of explicit warms, or Laplace's coefficient, is the proportion of the intensity limit at steady strain to warm limit at consistent volume. The Adiabatic Index adding machine processes the adiabatic list ( γ) otherwise called the intensity limit proportion or proportion of explicit warms. Accordingly, for normally happening diatomic gases at close to standard circumstances, the adiabatic file can be roughly viewed as around 7/5 or 1.4. The particular intensity proportion or adiabatic list is connected with the levels of opportunity () of a gas particle by the situation.

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The energy transfer to the kinetic store of the motor will be less than 800 J because some of the energy is dissipated in the surrounding.

A piece of electrical equipment that is used to supply power to the electrical load is called an electric power supply.

The basic objective of this device is to transfer power from the source to the consumer with the correct amount of voltage, frequency, and current.

Furthermore, this device transforms alternative current (AC) into low voltage direct current (DC).

It consists of four major elements: filter, transformer, regulator circuits, and rectifier.

To put it simply, a power supply transforms Ac voltage to DC voltage.

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Answer:

An example of a hypothesis based on observation and scientific principles is:

Deaf children whose parents are deaf will acquire language faster than deaf children whose parents are not deaf.

A hypothesis is an informed prediction or a tentative statement about what you think that would occur in a scientific experiment as a result of experience from observations accepted by scientific rules and law.

A hypothesis is a testable statement obtained from the research question but questions cannot be tested directly, it is the proposed relationship between the variables that are tested.

An example of a hypothesis is:

Deaf children whose parents are deaf will acquire language faster than deaf children whose parents are not deaf.

This specifies the direction of the hypothesis because one group is faster than the other.

Explanation:

Answer:

C. 25.0%

Explanation:

Radioactive decay of an atom follows the equation:

ln[A] = -kt + ln[A]₀

Where [A] could be taken as an amount of radioactive atom after time t,

k is rate constant = ln 2 / Half-Life = ln 2 / 6hours = 0.1155hours⁻¹

[A]₀ is initial amount of the isotope = 100%

Replacing:

ln[A] = -0.1155hours⁻¹ *12hours+ ln[100%]

ln[A] = 3.2192

[A] = 25.0%

Right solution is:

C. 25.0%

The distance between the markers in the laboratory where the particle is produced and where it decays is 30.24m.

Radioactive decay, also known as nuclear decay, radioactivity, radioactive disintegration, or radioactive decay, is the process by which an unstable atomic nucleus loses energy through radiation. A substance that has unstable nuclei is regarded as radioactive. Alpha decay, beta decay, and gamma decay are three of the most frequent kinds of decay, and they all entail the emission of one or more particles. Beta decay is a result of the weak force, while the nuclear force and electromagnetism are in charge of the other two mechanisms. Electron capture, which occurs when an unstable nucleus seizes an inner electron from one of the electron shells, is the fourth prevalent kind of decay.

Explanation:

From the perspective of observer A, the particle had a lifetime of 112 ns and moved at a speed of 0.9c.

0.9c = 2.7e8 m/s

112 ns = 1.12e-7 s

Since we already know the time and speed from the viewpoint of observer A, we can use those to determine the distance from that viewpoint without the need for any modifications.

[tex]d=v*t=2.7e8*1.12e-7=30.24m[/tex]

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The direction of the smallest magnetic field that enables the wire to move in this fashion to East.

A magnetic force in the direction of north that is equal in strength to the friction force will be required.

Fm - f = 0

I L B = uk mg = 0.

(1.50 x 1 x B) - (0.20 x 0.1 x 9.8) = 0

B = 0.131 T

b) the magnetic force, Fm = IL x B. (cross product )

- > north F

The formula can be used to calculate the magnetic force for a moving charge particle;

∈= Bvlsinθ

Due to the parallel motion of the wire, the angle between the magnetic field and velocity is zero degrees.

B = 0.500 T

v = 1.50 m/s

l = 0.200 m

Therefore,

∈ = (0.500 T) (1.50 m/s) * (0.200 m) *sin 0

∈=0.15 * sin 0

∈= 0

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The distance covered is 25.9 m.

We know that the speed of sound refers to the speed with which an sound moves in an object.

Given that;

speed of sound = 345m/s

Time taken =  0.15s

We know that;

v = 2d/t

v = speed of sound

d = distance

t = time taken

vt = 2d

d = vt/2

d = 345m/s *  0.15s/2

d = 25.9 m

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Answer:

57.3N

Explanation:

Given parameters:

radius of the path = 3m

tangential speed  = 2m/s

mass of the bicycle and child  = 43kg

Unknown:

centripetal force  = ?

Solution:

The centripetal force is the inward force on a body round a circular path.

It is expressed as;

    F  = [tex]\frac{mv^{2} }{r}[/tex]  

F is the centripetal force

m is the mass

v is the tangential speed

r is the radius

        F  = [tex]\frac{43 x 2^{2} }{3}[/tex]   = 57.3N

Two motorcycles start at the same point, one motorcycle travels 15 km due north and stops, the second motorcycle travels 32 km due west and stops, value closest to the distance between the motorcycles when they stop is 35.3 km.

In general, kilometers to miles is the conversion of distance from the kilometers to miles. kilometers and miles are used to measure length from one point to the other. In metric system, kilometer is the unit of length and it is considered as the International System of Units, whereas miles are used in the imperial and US customary units. The kilometer is abbreviated as “km”, and mile is abbreviated as “mi”. These two measures are mostly used to measure the geographical land areas.

You are aware that hypotenuse of a right triangle is shorter than the total of the legs and longer than the longest leg.

The relevant distance in this geometry is greater than the 32 km and less than 15+32 = 47 km. The only option that falls within acceptable range is 35.3 kilometers.

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Answer:

Kinetic Energy and Mechanical energy

Explanation:

Answer:

Displacement is the distance between an object’s initial position and its final position and is usually measured or defined along a straight line. Since this is a calculation that measures distance, the standard unit is the meter (m).

Explanation:

Answer:

true

Explanation:

common sense i am just guessing.

Answer: True

Explanation: For instance cutting trees for paper.

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