A rocket fired horizontally at 50m/s breaks into 2 equal masses. One mass, m1, deflects 30ᴼ above the horizontal while the other mass, m2, deflects 60ᴼ below the horizontal. Find the velocities for m1 and m2 at that moment.

Answers

Answer 1

Answer:When a rocket is fired horizontally at 50 m/s and breaks into two equal masses, m1 and m2, the velocities of the two masses at the moment of separation can be determined using the principles of conservation of momentum and conservation of kinetic energy.

According to the principle of conservation of momentum, the total momentum of an isolated system remains constant, unless an external force is applied. This means that the total momentum of the two masses before and after the separation must be the same. Since the two masses are equal and the initial velocity of the rocket is 50 m/s, the total initial momentum of the system is 50 m/s x 2 masses = 100 m/s.

After the separation, the momentum of m1 is equal to the initial momentum of the system, since the direction of motion has not changed. This means that the velocity of m1 is 50 m/s.

The momentum of m2, however, has changed due to the deflection of 60ᴼ below the horizontal. The direction of motion of m2 is now perpendicular to the initial direction of the rocket, and the magnitude of the momentum is equal to the initial momentum of the system. Using the law of cosines, we can determine the magnitude of the velocity of m2 as follows:

v2 = (100 m/s) / (cos 60ᴼ)

v2 = 50 m/s

Therefore, the velocities of m1 and m2 at the moment of separation are 50 m/s and 50 m/s, respectively.

Explanation:


Related Questions

an 80-n uniform plank leans against a frictionless wall as shown. the vertical component of force at point p applied to the plank by the floor is:

Answers

The net torque needed to balance is 120N

Weight of the plank W = 80N

Length of the inclined plane S = [tex]\sqrt{9 + 16}[/tex] = 5

Cos θ = 3/5

Net torque needed to balance is τ = W Cos θ s/2

τ = 120 N

The study's subject also refers to torque as a moment, moment of force, rotational force, or turning effect. It is possible to think of torque as the linear force's rotational counterpart. It stands for a force's capacity to alter the body's rotational motion. Archimedes' studies on the use of levers, which are reflected in his well-known saying, "Give me a lever and a place to stand. and I shall move the Earth." similar, led to the development of the concept. a linear force pushes, similar to that. A torque is a movement that twists about or pulls an object. a certain axis. When the strength of the force is multiplied by the angle at which the line of action is perpendicular, torque is the outcome.

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The gravitational potential energy that an object possesses is ...

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The gravitational potential energy that an object possesses depends on object's mass, height above earth's surface and the gravitational acceleration constant.

Gravitational potential energy is possessed by an object due to change in its position when present in gravitational field.

We know that potential energy of the body at a given position is defined as the energy stored in the body at that position.

The expression of potential energy is given by:

Ep = m * g * h

where, m is the mass of the object in kg

h is height of an object measured above the earth's surface in metres

g is gravitational acceleration (its value is 9.8 m/s²)

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In a physics lab, light with a wavelength of 580 nm travels in air from a laser to a photocell in a time of 17.3 ns . When a slab of glass with a thickness of 0.810 m is placed in the light beam, with the beam incident along the normal to the parallel faces of the slab, it takes the light a time of 21.5 ns to travel from the laser to the photocell.What is the wavelength of the light in the glass? Use 3.00×108 m/s for the speed of light in a vacuum. Express your answer using two significant figures.

Answers

The the wavelength of the light in the glass is  325.69 nm.

Calculation:-

∧ =  580 nm, t 17.3ns, thickness 0.810 m, 21.5ns, c = 3 x 10⁸m/s.

The new wavelength will be ∧glass = ∧ air x[tex]\frac{ velocity of light glass}{velocity of light in air}[/tex]

The light through the slab of glass 0.8 m takes more time (21.5-17.5) = 4 ns Without slab time taken by the laser light tair = 0.8/3 x 10⁸ = -267 ns

With the stab time taken by the laser light = tglass = 4+2.67-6.67ns

Speed of laser light in glass =0.8/6.67 x 10⁻⁹ = 1.1994 x 10⁸ m/s

Wavelength ∧ glass = 490x1.994 x  10⁸/3 x 10⁸ = 325.69 nm.

Wavelength is the distance between identical points in adjacent cycles of a waveform signal propagating in space or along a wire. Wavelength can be defined as the distance between two consecutive peaks or valleys. Measured in the direction of the wave. Wavelength is the distance between two wave crests and the same for wave troughs.

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A rectangular plate is rotating with a constant angular speed about an axis that passes perpendicularly through one corner, as the drawing shows. The centripetal acceleration measured at corner A is n times as great as that measured at corner B. What is the ratio
L1
L2
of the lengths of the sides of the rectangle when n = 2.24?

Answers

The ratio of L1 and L2 ,lengths of the sides of the rectangle when n = 2.24 is 2.0043

We use the centripetal acceleration definition,  

[tex]a = \frac{v^2}{r}[/tex]

The relationship between angular and linear velocity

[tex]v=w^2r[/tex]

we substitute [tex]a = w^2 r[/tex]

The rectangular body rotates at an angle of w.

We locate the points, but the diagram is missing. In this case, the axis of rotation is in a corner called O, one of the adjacent corners is called A, and the opposite corner is called B.

the distance[tex]OB = L_2[/tex]

the distance [tex]AB = L_1[/tex]

It is indicated that the accelerations in A and B are related, so we substitute the acceleration value.

   [tex]w^2 r_A = n r_B[/tex]

the distance from the each corner is  

 [tex]r_B = L_2\\\\ r_A =\sqrt{L_1^2+L_2^2}[/tex]

we substitute  

[tex]\sqrt{L_1^2 + L_2^2} = n L_2[/tex]

[tex]L_1^2 + L_2^2 = n^2 L_2^2[/tex]

[tex]L_1^2= (n^2-1) L_2^2\\\\\frac{L_1^2}{L_2^2}=(n^2-1)\\\\\frac{L_1}{L_2}=\sqrt{(n^2-1)}[/tex]

When n=2.24

[tex]\frac{L_1}{L_2}=\sqrt{(2.24^2-1)}\\\\\frac{L_1}{L_2}=2.0043[/tex]

Thus, the ratios of length is 2.0043.

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The Ups & Downs of Thermometers (liquid)
Fill in the missing blanks in the paragraph:
The level of the liquid in the thermometer goes (up, down) when (heated, cooled) because molecules are moving (faster, slower) and take up (more, less) space.
Need help? Use this animation (click Hot, Cold & Room Temp. tabs & read text on left)

Answers

The level of the liquid in the thermometer goes up when heated because molecules are moving faster, and take up more space.

What is a thermometer?

A thermometer is described a device that measures temperature or a temperature gradient. A thermometer has two important elements:

a temperature sensor in which some change occurs with a change in temperature and a sensor which is a medium of converting this change into a numerical value.

The purpose of a thermometer is that it is an instrument that measures temperature and can measure the temperature of a solid such as food, a liquid such as water, or a gas such as air.

The working of a thermometer is described as follows:

When the tip of the mercury thermometer touches the material/ or surface it is measuring, the material conducts heat energy to the mercury causing the mercury to expands as it turns into a liquid and begins to rise up the tube. The place where the mercury stops on the scale is where you can take the reading of the temperature.

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Determine the equivalent spring constant , keq of the system shown. Motion is constrained to be inn vertical direction only.If m=10 kg and k=100 N/mm what is the equilibrium position of m and the force in the spring 1.

Answers

The equivalent spring constant, (Keq) is 3.4K. And 2.885mm is the equilibrium position of m and the force in spring 1.

What is the Spring constant?

The term "spring constant" refers to the proportional constant k. It gauges the stiffness of the spring. A spring exerts a force F = -kx in the direction of its equilibrium position when it is stretched or compressed to a length that differs by an amount x from its equilibrium length.

Calculation:

Given

K1 = K2 = K3 = K4 = K5 = K6 = K7 = K8 = K9 = K10 = K11 = Keq

Wherein K3, K4, K5 and K10 are in parallel

This Keq = K3 + K4 +K5 + K10

Keq = 4K

K1 and K7 are in series so Keq'= K/2

Keq' and K11 are in parallel Keq" = 3K/2

Keq" And K8 are in series = Keq"'= {(3K/2) * K}/ {(3K/2) + K} = 3K/5

4K and K6 are in series Keq""= 4K/5

Keq = (3K/5) + K + (4K/5) = 3.4K

Now,

m= 10kg and k = 100N/m

mg = Keq (x)

x = mg/Keq

x = 10 * 9.81/3.4

x = 2.885mm.

Hence, the equivalent spring constant, (Keq) is 3.4K. And 2.885mm is the equilibrium position of m and the force in spring 1.

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Generally, the maximum static friction force is greater than the kinetic frictional force. In which of these situations is this invalid? None of the other answers is correct since the rule is never violated. One of the bodies is moving with a very low velocity over the surface of the other. The normal pressure is very low. The normal pressure is very high.

Answers

None of the other answers is correct since the rule is never violated.(Option A).

Static and dynamic friction, When two systems are in contact with each other and at rest, the friction between them is called static friction. When two systems are in contact and moving relative to each other, the friction between them is called kinetic friction.The force required to induce motion (ie, overcome static friction) is greater than the force required to sustain motion (ie, overcome kinetic friction). Therefore, the sliding friction coefficient (μk) is smaller than the static friction coefficient (μs).

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5. The moon orbits at a speed of about 1000 m/s around the earth at a radius of about
384,000,000 meters. Use this information to find an approximate value for the mass of
the earth. (Remember that G is 6.67E-11)

Answers

Actually, they are a long way away. On average, the distance to the Moon is 238,855 miles (384,400 km).

How do you determine the Moon's orbital speed around the Earth?

Using the formula v=2rT, where r is the distance between the earth and the moon and T is the period of time that the moon revolves around the earth, we can attempt to answer this question.

How can the orbit of the Moon be used to compute the Earth's mass?

All that is left to do is use G = 6.6 x 10-8 and substitute pi = 3.14159, the Moon's period in seconds, T, and its distance from the Earth's center, R.

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when a nucleus emits a beta particle, the mass number of the nucleus ____________. (2 points) decreases increases remains the same doubles

Answers

When a nucleus emits a beta particle, the mass number of the nucleus remains the same.

What is beta decay?

Beta decay is a form of radioactive disintegration by which some unstable atomic nuclei spontaneously disintegrate, releasing excess energy and usually accompanied  without any change in mass number.

Mathematically, the equation for beta decay of a radioactive element is given as;

[tex]^A_ZX \ \ \ ----- > ^A_{Z+1} Y \ \ + \beta ^-[/tex]

where;

X is the radioactive elementA is the mass number of the parent elementZ is the atomic number of the parent elementZ + 1 is the atomic number of the daughter elementY is the daughter elementβ is the beta decay

Thus, from the equation above, the mass number of parent element and the daughter element is the same.

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Answer:

remains the same

Explanation:

I got it right on the test.

FILL IN THE BLANK. 10. the mutcd advises examining emergency vehicle lighting policies with the intent of reducing lighting use as much as possible without endangering___at the scene.

Answers

the mutcd advises examining emergency vehicle lighting policies with the intent of reducing lighting use as much as possible without endangering_those __at the scene.

what is MUTCD ?

The United States Department of Transportation's Federal Highway Administration issued the Manual on Uniform Traffic Control Devices (MUTCD) for Streets and Highways to explain the standards for the construction, installation, and operation of traffic signs, surface markings, and signals.

All traffic control devices must meet the national standards outlined in the MUTCD. The MUTCD is a nationwide standard on which all public agencies and owners of privately held public highways rely. Because of the MUTCD, all road users benefit from greater safety and mobility.

 The MUTCD recommends reviewing emergency vehicle lighting rules in order to reduce lights consumption as much as feasible without harming individuals on the site.

recent edition of the official FHWA document is a July 2022 PDF file that integrates the 2009 MUTCD with Revisions 1, 2, and 3.

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Which of the following is the statement of Dalton's law of partial pressures?

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Dalton's law of partial pressures, the total pressure by a mixture of gases is equal to the sum of the partial pressures of each of the constituent gases.

The partial pressure is defined as the pressure each gas would exert if it alone occupied the volume of the mixture at the same temperature.

Dalton's Law, the law of partial pressure the total pressure exerted by a mixture of gases is. equal to the sum of the pressure exerted independently by each gas. The pressure exerted by each gas its pressure is. directly proportional to the percentage of that gas in the gas mixture.

Dalton discovered that oxygen combined with either one or two volumes of nitric oxide in closed vessels over water and this pioneering observation of integral multiple proportions provided important experimental evidence for his incipient atomic ideas.

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A skier starts from rest at the top of a hill. The skier coasts down the hill and up a second hill, as the drawing illustrates. The crest of the second hill is circular, with a radius of r=36 m. Neglect friction and air resistance. What must be the height h of the rst hill so that the skier just loses contact with the snow at the crest of the second hill?
(Hint: Here you may want to use both energy conservation and force methods as part of your solution. In any case you should identify what forces would be directed radially inwards when the skier is at the crest of the second hill and remember that these are the forces that would generate the skier's centripetal acceleration. Of these forces, which would vanish if contact between the skier and the hill was lost? This force might then be set to zero in the solution.)

Answers

Now that we are aware that the skier won't lose contact on the second slope, h = 16.35m

How to find the calculation?

Since all of the energy is conserved in this situation, the motion of the skier from the first hill to the second hill may be explained by energy conservation.

Final kinetic energy = starting potential energy

hence, we have

mgh = 1/2 * m * v ^ 2

Now that we are aware that the skier won't lose contact on the second slope, we

(m * v ^ 2)/R = mg

v ^ 2 = Rg

now that we

R = 32.7m

v ^ 2 = 32.7 * 9.8

v = 17.9m/s

the result of the above equation is

mgh = 1/2 * m * v ^ 2

h = (v ^ 2)/(2g) (2g)

h = (17.9 ^ 2)/(2(9.81))

h = 16.35m.

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10- A block attached to a spring oscillates in simple harmonic motion along the x axis. The
limits of its motion are x = 10cm and x = 50 cm and it goes from one of these extremes to
the other in 0.25 s. Its amplitude and frequency are:
A 40 cm. 2Hz
B. 20 cm, 4Hz
C. 40cm, 2Hz
D. 25 cm, 4Hz
E. 20 cm, 2Hz

Answers

Answer:

Choice E.

Amplitude: [tex]20\; {\rm cm}[/tex].

Frequency: [tex]2\; {\rm Hz}[/tex].

Explanation:

The amplitude of a simple harmonic motion (SHM) is the maximum displacement from equilibrium.

In this question, the equilibrium is in the center of the two extremes. With one extreme at [tex]x = 10\; {\rm cm}[/tex] and the other at [tex]x = 50\; {\rm cm}[/tex], the center will be at [tex](1/2)\, (10 + 50)\; {\rm cm} = 30\; {\rm cm}[/tex].

The maximum displacement will be [tex](50\; {\rm cm} - 30\; {\rm cm}) = 20\; {\rm cm}[/tex] (or equivalently, [tex](30\; {\rm cm} - 10\; {\rm cm}) = 20\; {\rm cm}[/tex].

Frequency measures the number of cycles completed in unit time (e.g., one second.) In one full cycle of an SHM, the oscillator will travel from one extreme to another and then back to the original extreme. In this question:

Travel from one extreme to the other: [tex]0.25\; {\rm s}[/tex].Travel from the other extreme back to the original one: [tex]0.25\; {\rm s}[/tex].

In other words, one full cycle of this SHM will take [tex]0.25\; {\rm s} + 0.25\; {\rm s} = 0.50\; {\rm s}[/tex]. The period of this SHM will be [tex]0.50\; {\rm s}[/tex]. Hence, the frequency of this SHM will be:

[tex]\begin{aligned} (\text{frequency}) &= \frac{1}{(\text{period})} \\ &= \frac{1}{0.50\; {\rm s}} \\ &= 2\; {\rm Hz}\end{aligned}[/tex].

A loop of wire is at the edge of a region of space containing a uniform magnetic field B. The plane of the loop is perpendicular to the magnetic field. Now the loop is pulled out of this region in such a way that the area A of the coil inside the magnetic field region is decreasing at the constant rate . That is, dA/dt=−c , with c >0 . The induced emf in the loop is measured to be V. What is the magnitude B of the magnetic field that the loop was in? Express your answer in terms of some or all of the variables A ,c , and V. Homework Equations :
ϵ=|dΦm.dt| Φm=AB ϵ=lvB

Answers

The magnitude of the magnetic filed B at the loop is found as  V/c.

Explain the term magnetic flux?A measurement of a total magnetic field that traverses a specific area is called magnetic flux. It is a helpful tool for explaining how the magnetic force affects things inhabiting a certain area.

For the stated question-

The formula for magnetic flux;

Φ = BA

In which,

B = magnetic field A = area

Now,

Differentiate the flux with respect to time as putting B as constant;

dΦ/dt = B•dA/dt

Using Faraday's law, EMF induced is;

E = -dΦ/dt

However, we prefer to describe it in terms of V and E.M.F., which are also used to refer to voltage or potential difference.

V = -dΦ/dt

Thus, potential difference be-

-V = B•dA/dt

In term of a given area dA/dt = - c

-V = B•(-c)

V = Bc

B = V/c

Therefore, the magnitude of the magnetic filed B at the loop is found as  V/c.

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The correct question is attached.

given below is stream flow data due to a storm of two hour duration. the area of the drainage basin is 2000 acre. determine the total volume of direct runoff (in inch). use the constant discharge method to separate the base flow. plot the hydrograph (5 points).

Answers

The minimum streamflow immediately prior to the rising limb is used as the constant value.

Here the constant value is taken as 25cfs which is at 2nd hour just before the rise of hydrograph.

The direct runoff discharge starts from 2nd hour and ends at 36th hour.

from the trapezoidal formula, The runoff discharge = (0+72+173+295+419+510+559+495+397+266+167+110+7 2+47+27+19+12+(8/2)) * 2 * 3600 = 26236800 cubic feet. The area of the catchment = 2000 acres. = 2000* 43560 =87120000 ft^2

The depth of runoff (discharge / area) = 0.266 feet = 0.266* 12 inches 3.2 inches.

Stream flow or channel outflow is the flow of water in streams and other channels and is a major component of the hydrological cycle. This is one component of water movement from land to water, and another component is surface runoff. The water flowing through the channel comes from surface runoff from adjacent hillsides, groundwater flowing from the ground, and water drained from pipes. The flow rate of water flowing through a canal can be measured with a hydrometer or estimated using Manning's equation. A record of flow over time is called a hydrograph. Flooding occurs when the volume of water exceeds the capacity of the canal.

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A thermos contains m1 = 0.89 kg of tea at T1 = 31° C. Ice (m2 = 0.075 kg, T2 = 0° C) is added to it. The heat capacity of both water and tea is c = 4186 J/(kg⋅K), and the latent heat of fusion for water is Lf = 33.5 × 104 J/kg. show answer No Attempt 50% Part (a) Input an expression for the final temperature after the ice has melted and the system has reached thermal equilibrium.Part (b) What is the final temperature in Kelvin?

Answers

The final temperature in Kelvin was 295.52 K.

Explain about the temperature in Kelvin?

The difference between a kelvin (K), a division of the kelvin scale, and a degree on the Celsius scale is where zero is. The zero point on the Kelvin scale is at absolute zero, while the zero point on the Celsius scale is the freezing point of water. As a result, 0oK is equivalent to -273.15oC, while 0oC is equivalent to 273.15 kelvins.

The Standard International (SI) unit of thermodynamic temperature is the kelvin, which is also sometimes referred to as the degree Kelvin (symbol, o K). The formal definition of a kelvin is 1/273.16 (3.6609 x 10 -3) of the thermodynamic temperature of pure water's triple point (H 2 O).

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A disk-shaped merry-go-round of radius 2.83 m and mass 125 kg rotates freely with an angular speed of 0.661 rev/s. A 55.4-kg person running tangential to the rim of the merry-go-round at 3.31 m/s jumps onto its rim and holds on. Before jumping on the merry-go-round, the person was moving in the same direction as the merry-go-round rim.

Answers

A 125 kilogram, 2.83 m in diameter, disk-shaped merry-go-round rotates freely at a rotational acceleration of 0.661 rev/s. A 55.4-kg guy moving quickly.

What do radius and area mean?

The area a circle occupies in a this double plane is known as the area of the circle. A = r2, (Pi r-squared), where r is the circle's radius, is a simple formula that may be used to calculate it. Area is measured in square units, including such m2, cm2, etc.

What is the distance of a radius?

It is the circumference of a circle. A circumference can be defined as a line drawn around the circle's perimeter from any point to its center. Depending on whether you know the circle's diameter, circumference, or area, you can calculate the radius using one of three formulas.

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A galaxy with constant mass density within 20,000 light-years of its center, and zero density beyond that distance.

Answers

The Milky Way's rotation curve provides evidence for dark matter. Here's why. The correct answer is in the image

The rotation curve extends far beyond the disk of the Milky Way. Our galaxy belongs to a cluster of about 54 galaxies, the so-called local group. This map shows the distribution of about three-quarters of the galaxy.

The Milky Way and Andromeda galaxies are the largest and most massive galaxies in the Local Group of galaxies. Evidence for the existence of gravitational dark matter is evident in astronomical observations, from early observations of large movements of galaxies within clusters and of the movement of stars and gas within galaxies.

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dams at two different locations are needed to form a lake. when the lake is filled, the water level will be at the top of both dams. the dam

Answers

The force of the water on Dam #2 is 8 times than the force on Dam #1. Hence, option (c) is correct.

What is force?

The definition of force in physics is: The push or pull on a massed object changes its velocity.

Let the height and wide of dam #1 is H and d respectively.

Then,   the height and wide of dam #2 is 2H and 2d respectively.

Average force acting on the dam #1 = 1/2( pressure at the surface of the lake +  pressure at the bottom of the lake) × area of the dam#1

= 1/2(0 + Hρg)×Hd

= H²ρgd/2

Average force acting on the dam #2 = 1/2( pressure at the surface of the lake +  pressure at the bottom of the lake) × area of the dam#2

= 1/2(0 + 2Hρg)×2H × 2d

=  8H²ρgd/2

Hence,  the force of the water on Dam #2 is 8 times than that on Dam #1.

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Your question is incomplete, but most probably full question was:

Dams at two different locations are needed to form a lake. when the lake is filled, the water level will be at the top of both dams. The Dam #2 is twice as high and twice as wide as Dam #1. How much greater is the force of the water on Dam #2 than the force on Dam #1? (Ignore atmospheric pressure; it is pushing on both sides of the dams.) A. 2 B. 4 C. 8 D. 16

Which force is greater when a bug hits a windshield?

Answers

Answer:

Below

Explanation:

The forces are equal..but opposite........the bug just doesn't handle it as well

what is the sound intensity level of a sound with an intensity of 2.4ร10โ6 w/m2 ?; what is the sound intensity level of a sound with an intensity of 4.0ร10โ6 w/m2 ?; what is the sound intensity level of a sound with an intensity of 3.2ร10โ6 w/m2 ?; what is the sound intensity level of a sound with an intensity of 3.6ร10โ6 w/m2 ?; from a distance of 4.0 m, a bystander listens to a jackhammer breaking concrete.; an opera singer in a convertible sings a note at 600 hz while cruising down the highway at 90km hr

Answers

The sound intensity level of a sound with an intensity of 3.6 is 63.8 dB.

Calculation:-

[tex]10 log(\frac{2.4 * 10^{-6} }{1*10^{-12} }) = 63.8dB.[/tex]

Power per unit area carried by the shaft. Sound intensity level A unitless quantity that indicates the sound level relative to a fixed reference. Sound pressure level ratio of pressure amplitude to reference pressure. which has a higher sound intensity than the sine wave.

Intensity refers to the speed at which a task is performed or the amount of effort required to perform an activity or exercise. A square wave consists of an infinite number of odd harmonics, while a sawtooth wave consists of odd and even harmonics. As a result of the experiment, it was found that the square wave has a higher sound intensity than the sawtooth wave.

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find the work done be the force field f in moving an object along the curve pictured in the graph. do this by computing the work on each piece-wise smooth portion of c.

Answers

Find the amount of labor necessary to move an object along the specified orientated curve given the force field F. y = 3x2 on the parabola from (0, 0) to F = (y, x) (4, 48).

How can you determine the work a force field performs along a curve?

A variable force's infinitesimal work can be defined in terms of the force's components and the displacement along the path,

How do you assess the force field F's work?

(c) Next, determine the work that the force field F performed on the object to move it through the field by moving it along the vector d. W = F d is the formula for work.

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arrange the selected events in the model of the early universe in chronological order, from earliest to latest.

Answers

Universe in chronological order,Inflation, Separation 2 fundamental forces, Formed subatomic, Nucleosynthesis and Formation of first stars.

Mystics, theologians, philosophers, and scientists can all have different perspectives on the universe. In science, we take the slow approach and only accept claims that can be verified through experiment or observation. The General Relativity Theory, which Albert Einstein developed, explains the relationships between mass, energy, space, and time. Einstein demonstrated how well his theory fits with a homogeneous distribution of matter in space. He made the unquestioned assumption that the universe is static and constant on a grand scale. Alexander A. Friedmann, a Russian theorist, discovered in 1922 that Einstein's universe is unstable and will expand or contract with even the smallest perturbation. Vesto M. Slipher of Lowell Observatory was gathering the initial proof that galaxies are actually separating at the time.

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a certain transformer doubles input voltage. if the primary coil draws 10 a of current, then the current in the secondary coil is

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A certain transformer doubles input voltage. if the primary coil draws 10 a of current, then the current in the secondary coil is 5a

What is Voltage?The voltage represents the potential energy of an electrical charge at a certain location, if one were to place an electrical charge unit there. To put it another way, it is a measurement of the energy present in an electric field or an electric circuit at a certain location. It is equivalent to the amount of labour required to complete each unit of payment.The voltage can be mathematically stated as, where work is measured in joules and charge is measured in coulombs. The voltage is the difference in potential energy between two places in a circuit, according to our definition. The potential of one point is higher than that of the other points.

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based on this passage, which of the following might be true about the early history of modern physics? select it had a very practical component select it was uninteresting to most people select none of these select it was often combined with many topics studied in philosophy select it was underdeveloped and primitive

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True statement about the early history of modern physics is option A: it had a very practical component.

The early history of physics could explain everything out of others, thus it had a practical component. The minds of almost all thinkers are left with the patterns of scientific reasoning and apotheosis in modern physics. From the time of the early renaissance to the nineteenth century, physics represented the ultimate expression of scientific investigation for almost all thinkers. The unchanging principles of all motion and life on earth are being derived from its static laws. By the nineteenth century, it seemed that most of science had already been "cleared up," and only a few remaining details remained.

This cosmology was overthrown by the idea of a universal morphing of kinds, which completely altered it. The very view of science held by most people was among the things that had to change in light of Darwin’s work.

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Which unit of measure represents frequency and is expressed as the number of cycles per second?
A. Joule
B. Weber
C. Gauss
D. Hertz

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Frequency is measured in Hertz, which is defined as the quantity of cycles per second. The best choice is D. Frequency is measured in hertz, a SI unit (Hz). Hertz is hence the standard symbol for the frequency unit.

The frequency of an event is its repetitions per unit of time. As a contrast to spatial frequency, it is also sometimes referred to as temporal frequency, and as a contrast to angular frequency, it is sometimes referred to as ordinary frequency. The International System of Units' unit of frequency, the hertz, equals one occurrence (or cycle) per second. One hertz equals one second, and the hertz is a SI-derived unit whose expression in terms of SI base units is s.

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a student used a tuning fork of frequency 512 hz and observed that the speed of sound was 343 m/s. calculate the wavelength of this sound wave (in m). (enter your answer with 2 significant figures.)

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The wavelength of the sound wave (2 sig. figs.) will be 0.67m

What is wavelength?

The wavelength is a property of a wave that tells the distance between identical points between two successive waves. The distance between one crest (or trough) of one wave and the next is the wavelength of the wave.

The wavelength of light determines its color, and the wavelength of sound determines the pitch.

Wavelength is indicated using the Greek letter lambda (λ).

λ = v/f

where v = speed or velocity of the wave

f = frequency of the wave.

λ = v/f

given v = 343m/s

f = 512 hz

λ = 343/512

λ = 0.669m

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A 75-W light source consumes 75 W of electrical power. Assume it converts electricity to light at 600nm wavelength with a power efficiency of 20%. a) calculate the power of emitted light at 600nm. b) calculate the frequency of the emitted light; c) calculate the energy of a single emitted photon, express the answer in both Joule and eV; d) calculate how many photons at 600 nm are emitted per second.

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Part a) Power of emitted light at 600nm:  P = 75-Watt

Part b) Frequency of the emitted light; f = 4.99 x 10¹⁴ Hz.

Part c: Energy of a single emitted photon;E = 3.310 x 10⁻¹⁹ J

Part d) Number of photons emitted per second: 2.3 x 10²⁰ .

Explain the term photon?Photons are the tiniest electromagnetic energy packets known as quanta of light. Whether you are viewing this on a page or a screen, streaming of photons are sending the text' images to your eyes.

Part a) Power of emitted light at 600nm:

Power P = 75-Watt

Part b) Frequency of the emitted light;

Frequency = speed of light/wavelength of light

f = c/λ

f = 3 x 10⁸ / 600 x 10⁻⁹  Hz

f = 4.99 x 10¹⁴ Hz

Part c: Energy of a single emitted photon;

Energy = hc/λ = hf

h = plank's constant  = 6.626 x 10⁻³⁴ J.s

E = hf

E = 6.626 x 10⁻³⁴ x  4.99 x 10¹⁴

E = 3.310 x 10⁻¹⁹ J

Part d) Number of photons emitted per second:

N = P/hf

N = 75/3.310 x 10⁻¹⁹

N = 2.3 x 10²⁰

Thus, the number of photons emitted per second: 2.3 x 10²⁰ .

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If the mass of a satellite is doubled while the radius of its orbit remains constant, the speed of the satellite is a increased by a factor of 2 b. reduced by a factor of 2. c. 8 reduced by a factor of 8. d. increased by a factor of 8. e. not changed.

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If the mass of the satellite is doubled and the radius of orbit is remains same then the speed of the satellite is constant.

The speed at which a body orbits the system's center, which is typically a planet or a natural satellite, is known as its orbital speed. Typically, this system is centred on a large body. The earth orbits the sun at a speed of 108,000 kilometres per hour.

Through the provided formula, it is linking the mass of a specific planet to the gravitational constant and radius. The "universal gravitational constant," G, is a constant that appears in the orbital speed formula. It is worth 6.673 10 11 Nm2 kg2. The radius of the Earth is 6.38 x 106 metres.

we know that the orbital speed is  

Vo = sqrt(G*M/R)

wher M is mass of the Earth not the mass of the satellite

and  R is radius of the orbit

so the speed will be same not changed

Hence, the correct option is e.

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Assuming bicycle tires are perfectly flexible and support the weight of bicycle and rider by pressure alone, calculate the total area of the tires in contact with the ground. The bicycle plus rider has a mass of 62.0 kg, and the gauge pressure in the tires is 3.50×105 Pa.

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The total area of tires in contact with the ground is [tex]17.36 cm^2[/tex] when mass of bicycle rider is 62 kg and pressure of tires is [tex]3.5*10^5 pascal[/tex]

Pressure is the amount of force exerted on surface per unit area. It can also be defined as the force-to-area ratio (over which the force is acting).

Given,

Mass of the bicycle rider = 62.0 kg

pressure in tires = [tex]3.50*10^5\ N/m^2[/tex] (1 pascal = 1 [tex]N/m^2[/tex])

From definition of pressure,

[tex]P=\frac{F}{A}.....i[/tex]

Where, p=pressure ,F= force applied and A= area perpendicular to force

Force can be determined by formula,

[tex]F=mg....ii[/tex]

Where, m= mass and g= gravitational acceleration=9.8m/s^2

substituting eq.ii in eq.i,

[tex]P=\frac{mg}{A}\\\\A=\frac{mg}{P}\\\\A=\frac{62*9.8}{3.5*10^5}\\\\A=\frac{607.6}{3.5*10^5}\\\\A=0.001736m^2=17.36cm^2[/tex]

Thus, the area of tires in contact with the ground is [tex]17.36 cm^2[/tex]

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