A physics student drops a vibrating 440-hz tuning fork down the elevator shaft of a tall building. when the student hears a frequency of 400 hz, how far has the tuning fork fallen?

Multiplying the number of stars in a milky way by the number of galaxies in the universe is how the number of stars in a milky way is compared to the number of galaxies in the universe.

Using the Milky Way model, the number of stars is multiplied in a typical galaxy which is 100 billion by the number of galaxies existing in the universe which is 2 trillion in number. The answer calculated will be absolutely an astounding number. Therefore, there are approximately 200 billion trillion stars existing in the universe.

A hundred billion galaxies exist in the Universe. A galaxy is usually full of stars. Our sun is also a star that just exists as one of at least a hundred billion stars to be present in our own Milky Way galaxy.

To estimate the number of stars in a typical galaxy and it is then multiplied by the number of galaxies estimated in the universe. In general, some galaxies shine visible better or some in an infrared condition which can be taken as an example. There also are estimation hurdles that must be overcome.

Multiplying the number of stars in a milky way by that of galaxies in the universe is how the number of stars in a milky way was compared to the number of galaxies in the universe.

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Uneven bombardment on different sides by water molecules.

Therefore, option C is correct.

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Answer: +17 m/s ==> option 4

Explanation:

4 km + 8 km + 8.9 km=

12+8.9=20.9 km

1 km=1000 m

20.9 km * 1000 m/1 km=

20.9 * 1000/1=

20.9 * 1000=20900 m

1 min = 60 sec

20 min * 60 sec/1 min=

20*60/1=

20*60=1200 minutes

20900/1200=

209/12=17.4

17.4=+17 m/s ==> option 4

From the calculations,  the resultant vector is 7.2 m/s.

The term resultant vector has to do with that vector that has the same effect in magnitude and direction as two or more vectors acting together. Thus we have to note that a vector must have both a magnitude as well and necessarily a direction. The direction of the vector shows where the vector is headed.

In this case, we have the information that a boat travels 6 m/s across

a river. The current pushes downstream at 4 m/s. We know that the boat travels in the vertical and then the movement of the current is in the horizontal direction. We can then be able to obtain the resultant by the use of the Pythagoras theorem.

R = √(6)^2 + (4)^2

R = √ 36 + 16

R = 7.2 m/s

We then have the resultant vector is 7.2 m/s.

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Answer:

He exceeded the speed limit

Explanation:

[tex]{ \tt{ \frac{38 \times {10}^{8} \: m }{1 \: s} }} = { \tt{ \frac{ \frac{1}{1609} \: mi}{ \frac{1}{3600} \: hr} }} \\ \\ { \tt{ = ( \frac{1}{1609} \times 38 \times {10}^{8} ) \times (3600)}} \\ \\ = 8.5 \times {10}^{9 } \: mih {}^{ - 1} [/tex]

The graph shows that the ship decelerates in the forward direction, and then continues to slow down in the forward direction, but with more deceleration.

The term deceleration refers to a gradual reduction in the velocity of the object with time. We know that when an object is moving at a steady rate, the velocity of the object does not change and this can be seen as a flat portion in the velocity time graph.

Looking at the graph, we can see that we could  tend to look at the acceleration of the ship based on the graph with the view  that the ship is moving in the forward direction at a steady rate. Then it decelerates in the forward direction, and then continues to slow down in the forward direction, but with more deceleration.

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If its volume is halved and its kelvin temperature is doubled, assuming the moles of gas does not change, the pressure becomes 4 times.

The equation of state for a fictitious perfect gas is known as the ideal gas law, sometimes known as the generic gas equation.

Although it has some number of restrictions, it is a good approximation for the behavior of numerous gases under various circumstances.

The law of an ideal gas (PV = nRT)

This equation was developed via the experimental labor of several people, particularly Robert Boyle, Jacques A. C. Charles, and Joseph Gay-Lussac, relates the pressure, volume, temperature, and quantity of an ideal gas.

According to ideal gas equation

PV=nRT

Here the Temperature becomes 2T and

and the volume becomes V/2

We get pressure becomes 4 times.

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During the nuclear change, the amount of protons remains the same and is unchanged.

The interaction between two nuclear particles (two nuclei or a nucleus and a nucleon) that results in the production of two or more nuclear particles or -rays is known as a nuclear reaction (gamma rays). The process is sometimes referred to as a nuclear scattering rather than a nuclear reaction if a nucleus interacts with another nucleus or particle without altering the nature of any nuclide.

Nuclear Reactions and Conservation Laws:

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23 km when x1+ x2 = 0.87/10. is the main answer.

The size of a vector in the x-direction is expressed by its x-component, also known as its horizontal component. The size of a vector in the y-direction is represented by its y-component, also known as its vertical component. A projectile's trajectory is determined by velocity in two dimensions. The projectile's x and y components each represent its horizontal and vertical motion, respectively. Meters are the units used to indicate both horizontal and vertical distances (m).

A+B=A= (x1+x 2) i+20 jx1+x2/20

=tan60 = 0.5/0.87.

A=x1 i+10 j.

B=x2 i+10 j.

A+ B = (.87/10) 2 + 20 /2

= 23 km when x1+ x2 = 0.87/10.

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Using solid sphere density, the diameter of the sphere is 29.98 cm.

We need to know about the density to solve this problem. Density is a unit that measures how dense an object is. Density can be measured by dividing mass by volume. It can be written as

ρ = m / V

where ρ is density, m is mass and V is volume

From the question above, we know that

ρ = 19.32 g/cm³

m = 273.13 kg = 273130 g

Find the volume of sphere

ρ = m / V

19.32 = 273130 / V

V = 273130 / 19.32

V = 14137.16 cm³

Find the diameter of sphere

V = 4/3 . π . r³

14137.16 = 4/3 . π . r³

r³ = 3373.64

r = 14.99 cm

d = 1/2 r

d = 2 . 14.99

d = 29.98 cm

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- 2.186 x 10⁻⁵ C must the charge (sign and magnitude) of a 1.45 gg particle be for it to remain stationary when placed in a downward-directed electric field of magnitude 530 n/cn/c.

Electric field:

E = F/q

E ⇒ The magnitude of electric field

F ⇒ Electric force on a test charge q

q ⇒ Magnitude of the point charge

The electric field E at a position P where a charged particle with charge q is subjected to an electric force F is specified by the aforementioned equation.

There are two possible test charges: positive and negative. The directions of E and F are the same if it is positive; if it is negative, they are the opposite.

F = mg = Eq

q = mg/E

  = ((1.45 x 10⁻³ kg)(9.8 m/s²))/650 N/C

  = 2.186 x 10⁻⁵ C

Since the force must go upward and the electric field is in the opposite direction, q must be negative.

q= -2.186 x 10⁻⁵C

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By using Snell's Law, the refraction angle is 15.10⁰.

We need to know about Snell's Law to solve this problem. Snell's Law describes that the refraction of different mediums will depend on the refraction index. It can be written as

n1 . sin(θ1) = n2 . sin(θ2)

where n1 is the first refraction index, θ1 is the incident angle, n2 is the second refraction index and θ2 is the refraction angle.

From the question above, we know that

n1 = 1.5

n2 = 1

θ1 = 10⁰

By substituting the given parameters, we get

n1 . sin(θ1) = n2 . sin(θ2)

1.5 . sin(10⁰) = 1 . sin(θ2)

sin(θ2) = 1.5 . 0.17 = 0.26

θ2 = 15.10⁰

Hence, the refraction angle is 15.10⁰.

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The distance from the base of the cliff Milada will hit the ground is 2.43 m.

The time taken by Chirpy to reach the ground is t.

t = 2.7 seconds

The initial velocity at which Milada jumps horizontally is u.

u = 95 cm/s = 0.95 m/s

Let the height of the cliff be h.

The height of the cliff is,

[tex]h = ut \: + \frac{1}{2} at ^{2} [/tex]

[tex]h = 0 + \frac{1}{2} \times 9.8 \times( 2.7) ^{2} [/tex]

[tex]h = \frac{1}{2} \times 9.8 \times( 2.7) ^{2} [/tex]

h = 35.72 m

The height of the cliff is 35.72 m.

The distance from the base of the cliff Milada will hit the ground is,

= Initial velocity × time

= u × t

= 0.95 × 2.7

= 2.43 m

Therefore, the distance from the base of the cliff Milada will hit the ground is 2.43 m.

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In a series RLC circuit, current I = V/Z, but at resonance, current I = V/R, hence the current at the resonant frequency is highest because the circuit impedance is merely resistance and is at its lowest at resonance. The plot between circuit current and frequency can be seen in the graph up top.

The impedance is the same as the resistor since the circuit is at resonance. The voltage divided by the resistance is then used to compute the peak current. Maximum voltage across an inductor in a series RLC occurs at a frequency slightly above the resonant frequency, while maximum voltage across a capacitor occurs at a frequency somewhat below the resonant frequency. A harmonic oscillator is driven at its natural frequency by a periodic force, which induces resonance. The apparatus is reported to resonate.

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By using the blackbody radiation formula, the temperature of the filament inside the bulb is changed by a factor of 10⁰'²⁵.

We need to know about black body radiation to solve this problem. The energy radiated by a black body object is proportional to the area and the fourth power of temperature. It can be determined as

P = A . e . σ . T⁴

where P is power, A is surface area, e is emissivity, σ is Stefan Boltzmann's constant ( 5.67 x 10¯⁸ W/m²K⁴) and T is temperature.

From the question above, we know that

P1 = 10 watt

P2 = 100 watt

T1 = T1

By using the black body radiation formula, the ratio of temperature is

T1⁴ / T2⁴ = P1 / P2

Hence,

T1⁴ / T2⁴ = P1 / P2

T1⁴ / T2⁴ = 10 / 100

T1⁴ / T2⁴ = 1 / 10

T2⁴ = 10T1⁴

T2 = ⁴√(10T1⁴)

T2 = T1 x 10⁰'²⁵

Thus, the temperature of the filament inside the bulb is changed by a factor of 10⁰'²⁵.

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A(n) decrease in supply results the equilibrium  price to rise and equilibrium quantity  fall

What causes equilibrium price to change?

As you'll see, a increase  in demand causes the equilibrium price to rise. On the other hand, a decrease in demand can let   the equilibrium price to fall. a rise in supply causes the equilibrium price to fall, while a decrease in supply causes the equilibrium price to rise.

A decrease in demand will cause the equilibrium price to fall; quantity supplied will decrease. a rise in supply, all other things remains unchanged, will cause the equilibrium price to fall; quantity demanded will increase. A decrease in supply will results to the equilibrium price to rise; quantity demanded will decline.

What can cause the market equilibrium price and equilibrium quantity?

An increase in demand, all other things remain unchanged, will cause the equilibrium price to rise; quantity to be  supplied will increase. A decrease in demand will results  the equilibrium price to fall; quantity supplied will decrease

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Many excitatory neurotransmitters cause the opening of channels that allow for the flow of both Na+ and K+.

To influence another cell across a synaptic gap, a neuron produces a chemical signaling agent known as a neurotransmitter. Any significant organ, target cell, gland, or muscle cell that receives the signal could be another neuron as well. The message continues to be transmitted to the following cell as a result of the excitatory neurotransmitters "exciting" the neuron and causing it to "fire off the message.

Excitatory neurotransmitters include glutamate, adrenaline, and norepinephrine, to name a few. Acetylcholine, norepinephrine, and epinephrine are the neurotransmitters most known for their rapid but fleeting excitatory impact, while GABA is the main inhibitory neurotransmitter.

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By using Hooke's Law, the change in length is 2.07 x 10¯³ m.

We need to know about Hooke's Law to solve this problem. Hooke's Law describes the force applied to spring (elastic materials) will proportional to spring constant and displacement under the elastic condition. It can be described as

F = k . x

where F is force, k is spring constant and x is displacement.

The elasticity can be measured by stress and strain which

e = σ/ε

e = (F/A) / (ΔL/L)

where σ is stress, ε is strain, A is surface area, ΔL is change in length and L is initial length.

From the question above, we know that

e = 200 GPa = 200 x 10⁹ Pa

F = 61 kN = 61000 N

d = 2.6 cm = 0.026 m

L = 3.6 m

Find the surface area

A = πr²

A = π(1/2 . 0.026)²

A = 5.31 x 10¯⁴ m²

By substituting the given parameters, we get

e = (F/A) / (ΔL/L)

200 x 10⁹ = (61000/5.31 x 10¯⁴) / (ΔL/3.6)

ΔL = 2.07 x 10¯³ m

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If the sum of forces acting on an object is equal to zero, this does not imply that the object is at rest because it only implies that the moving object is not accelerating.

A force is an agent which when applied to an object, causes a change in state or direction of that object. The sum of forces acting on an object includes the resolution of all the forces acting on that object. The sum of forces acting on an object becomes zero when the resolution of all the forces acting on the object gives zero. An object in this state is said to be at equilibrium.

For example, the force of gravity may be acting on a ball resting on a surface, but the ball doesn't move because the gravitational force acting on the ball is balanced out by the reaction force from the table, hence the ball does not move, it is in a state of equilibrium.

The sum of forces acting on a moving object could also be equal to zero. When force is applied to a moving object, it accelerates (increases in speed), but when the sum of forces equals zero, the object still continues to move at uniform speed. This is in line with Newton's first law of motion, which states that "an object will remain in a state of rest or will continue to move with uniform speed, unless it is acted upon by a force.

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Complete question:

Choose the option that correctly answers and explains the question, "If the sum of the forces acting on an object equals zero, does this imply the object is at rest?" No, because the sum of the forces equalling zero only implies that the object is not accelerating. No, because even if the sum of the forces equals zero, it may have a nonzero component in one direction. Yes, according to Newton's second law, experiencing zero net force is the definition of being at rest. Yes, because Newton's first law implies that objects in motion must be acted on by a nonzero net force.

Answer:

Vx = V cos θ = 24

Vy = V sin θ = 7

Vy / Vx = tan θ = .292

θ = 16.3 deg

V = Vy / sin 16.3 = 24.9 m/s

Check:

V = Vx / cos 16.3 = 25 m/s (within rounding)

The new temperature is given as 510.05 K and the number of moles that remained after the incident can be written as 6.49 mol.

Ambient Temperature ∆T = 224K

Mass of the gas that leak out of the tank ∆m = 82g

We know that the final temperature is

T f = Ti + ∆T

= 294.05K + 224 K

≈ 518.05 K

Then the final number of moles of gas is given by

nf = mf / M co2

= mi-∆m / 44

= (367.8 - 82) / 44

≈ 6.49 mol

The air temperature of any object or setting where equipment is kept is known as the Ambient temperature.

This number is significant for system design. It is also sometimes referred to as the ordinary temperature or the baseline temperature.

Technically speaking, “ Ambient temperature” refers to the temperature outside, whereas “room temperature” refers to the temperature inside a particular structure or room.

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Car has more inertia, as its mass is greater than the mass of the bike.

Since inertia is related to mass, an object with a larger mass will almost always have orders of magnitude more inertia than an object with a smaller mass. In this case, the motorcycle.

The ability of matter to resist changes in velocity (speed and/or direction) is known as inertia. The first law of motion states that unless an outside force acts on an item, it will continue to move at a certain speed. The characteristic of matter that causes this law to hold true is inertia.

Upon being battered, the mat releases dust. falling forward when abrupt breaks are applied in transit. When the tree is shaken violently, the leaves fall off. Artificial satellites continue to orbit in a circular motion due to inertia.

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By multiplying the frequency and wavelength we'll get speed of wave.

what is wavelength?

The separation between two successive wave crests or troughs is known as a wavelength. It is determined by measuring the wave's direction.

A wave's wavelength is the separation between its crests and troughs, which may be measured for electromagnetic, sound, or other types of waves.

The peak of the wave is called the crest, while the dip is its base. Wavelength is measured in length units like meters, centimeters, millimeters, nanometers, etc. since it is a measure of distance or length.

Wavelength of the wave = Wave speed/Frequency

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The solution that satisfies the initial condition y(0) is y(t) = -6e^(-2t)+15 .

The general solution is actually a set of solutions, namely the set of ALL solutions of the Differential Equation. Often the general solution will be a linear combination of several functions involving some arbitrary constants.

Now,

The solution is:

y(t)=Ce^(-2t)+15

putting the initial condition, i.e., y(0) = 9.    ( it actually means y(t=0) = 9  )

y(0) = Ce^(0) + 15

9 = C + 15     (since e^0 = 1)

9-15 = C

or,  C = -6

Substituting this in the general solution:

y(t) = -6e^(-2t)+15

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A tv antenna has length l. the electromagnetic signal it can best pick up has a wavelength of 5.5 to 1.4 m (18 to 5 feet).

The maximum power transfer theorem, Maxwell's equations, and the fact that antennas are used to transmit and receive electromagnetic waves all suggest that the antenna's largest dimension is proportional to the wavelength, Frequency and wavelength are inversely proportional. The wavelength gets shorter as the frequency increases. A shorter antenna results from a shorter wavelength. Nevertheless, depending on the applications we use today, we may not always use wavelength/4, and the majority of our cellphones instead use wavelength/10 because wavelength/4 will produce an outdated phone with an external antenna that people will break frequently. However, the antenna performance on those phones was the best.

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A series connection between a resistor and a capacitor creates an RC circuit, which charges the capacitor progressively through the resistor until the voltage across it equals the supply voltage. The time needed to fully charge the capacitor is about equal to 5-time constants, or 5T.

Any electrical or electronic circuit or system that receives a signal or voltage, whether continuous (DC) or alternating (AC), will experience some sort of "time-delay" between its input and output terminals. Commonly referred to as the circuit's time delay or time constant, this delay shows how long the circuit takes to respond to an input step voltage or signal.

The complete question is- How long does it take for the capacitor to reach its maximum voltage potential?

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The best possible conclusion that can be drawn is that the number of fossils of amphibians and marine organisms is particularly reduced in layer B. Therefore, layer A probably formed before the Late Devonian extinction and layer B after. That is option A.

A palaeontologist is an individual that has been professionally trained to obtain information from fossils and studying of the rock formations.

Fossil is defined as the preserved organic remains of living organism such as bones, shells, exoskeletons, stone imprints of animals or microbes which may have lasted for many geologic ages.

From the given table, different fossils are being identified in two rock layers such as Layer A and layer B.

Layer A contains a higher number of fossils of reptiles, amphibians and marine organisms than seen in Layer B rock formation.

Therefore, the best possible conclusion that can be drawn is that the number of fossils of amphibians and marine organisms is particularly reduced in layer B. Therefore, layer A probably formed before the Late Devonian extinction and layer B after.

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Answer:

a)

[tex]{ \tt{s = ut + \frac{1}{2} {at}^{2} }} \\ \\ { \tt{s = (7 \times 15) + \frac{1}{2} \times 2.5 \times {15}^{2} }} \\ \\ { \tt{s = 105 + 281.25}} \\ { \tt{s = 386.25 \: m}}[/tex]

b)

[tex]{ \tt{v {}^{2} = {u}^{2} + 2as}} \\{ \tt{ {v}^{2} = {7}^{2} + (2 \times 2.5 \times 386.25)}} \\ { \tt{ {v}^{2} = 1980.25}} \\ { \tt{v = 44.5 \: m}}[/tex]

At a particular instant, a free-falling object has a speed of 30 m/s. exactly 1 s later its speed will be 39.8 m/s.

As, this is a free-falling object with some,  initial velocity

so, u = 30m/s

the given time t = 1 sec

so, the final velocity will find out by using the kinematic equation

Using v = u + at

v = 30 + 9.8[tex]\times[/tex]1

v = 39.8 m/s

The most crucial scientific notion is measurement. Base or physical basic units are used to quantify a wide range of quantifiable quantities. One such quantifiable metric is speed, which calculates the ratio between the distance an item travels and the time needed to cover that distance.

Speedometers are used to measure speed in moving vehicles. Odometers are used to calculate the distance traveled. A graph may be used to calculate speed as well. The distance-time graph aids in comprehending an object's speed.

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Answer:

What Is Maximum Heart Rate? Your maximum heart rate is, on average, the highest your pulse can get. One way to get a rough estimate of your predicted maximum is to subtract your age from the number 220. For example, a 40-year-old's predicted maximum heart rate is about 180 beats per minute.

Explanation: