A projectile is launched with a momentum of 200 kg •m/s and 1000 j of kinetic energy. What is the mass of the projectile?

Answers

Answer 1

Answer:

0.1 kg

Explanation:

The kinetic energy of an object is given by:

[tex]K=\frac{1}{2}mv^2[/tex]

where

m is the mass of the object

v is the speed of the object

The momentum of an object is given by

[tex]p=mv[/tex]

which is the product of mass and speed.

We can combine the two equations to get an expression that relates the kinetic energy K to the momentum p:

[tex]K=\frac{1}{2}m(\frac{p}{m})^2=\frac{p^2}{2m}[/tex]

In this problem, we know

[tex]K=1000 J[/tex] is the kinetic energy

[tex]p=200 kg m/s[/tex]

So we can solve the formula for m to find the mass of the projectile:

[tex]m=\frac{p^2}{2K}=\frac{(200 kg m/s)^2}{2(1000 J)}=20 kg[/tex]

Answer 2

The mass of the projectile object that has a kinetic energy of 1000 J and momentum of 200 kgm/s is 20 kg.

What is kinetic energy?

When a body of mass (m) and moving with the velocity (u) then the body possesses the energy and this energy is called kinetic energy.

A projectile is launched with a momentum of 200 kg m/s and 1000 J of kinetic energy.

We know that the equation of kinetic energy is given by

[tex]\rm KE = \dfrac{1}{2} mu^2[/tex]...1

We know the momentum is given by

[tex]\rm P = mu\\\\u = \dfrac{p}{m}[/tex]..2

From equations 1 and 2, we have

[tex]\rm KE = \dfrac{1}{2} m(\dfrac{P}{m})^2\\\\KE = \dfrac{1}{2m} (P)^2\\\\m \ \ = \dfrac{P^2}{2*KE}[/tex]

Put the value of kinetic energy (KE) and momentum (P), we have

[tex]\rm m = \dfrac{P^2}{2*KE}\\\\\\m = \dfrac{200^2}{2*1000}\\\\\\m = \dfrac{40000}{2000}\\\\\\m = 20[/tex]

The mass of the projectile object is 20 kg.

More about the kinetic energy link is given below.

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Related Questions

A positive charge of 3.2 x 10 -5 C is located 0.85 m away from another positive charge of 7.4 x 10 -6 C. What is the electric force between the two charges?

Answers

by using Coulumbs Law its 2.95N.

What is the MAIN reason water from the oceans turns to water vapor, and then evaporates into the air?

Answers

This has a two word answer: sun's heat. The faster moving molecules near the ocean's surface are provided with enough energy from the sun to escape the surface they are near.

 

There is a current of 0.99 a through a light bulb when its connected to a 9.7 v battery what is the resistance of the light bulb

Answers

Ohm's law states that V=IR, where V=voltage, I=current(amps), and R=resistance (in Ohms).

Plugging the values into the above equation yields a resistance in the light bulb of 9.8 ohms

what is the preception of intensity?​

Answers

Intensity being the physical parameter that describes the sound signal, sound stimulus, at the basilar membrane that we talked about last time. And, loudness being the perception of the sound signal intensity.

hope this helps:)sorry if it doesnt

plz mark brainliest

Final answer:

The perception of sound intensity is known as loudness, measured in phons or more commonly in decibels (dB). Light intensity is perceived as brightness and measured in candelas. The overall perception of sound, including loudness, pitch, and timbre, is processed by the CNS through the encoding of action potentials.

Explanation:

The perception of intensity in sound is commonly referred to as loudness, which is influenced by the physical property of sound wave amplitude. The unit of measurement for loudness is the phon, though more commonly, sound intensity level is measured in decibels (dB). In the case of light, intensity is perceived as luminous intensity or brightness, with the candela as its standard unit. Furthermore, timbre is what distinguishes different sounds at the same pitch and loudness, being influenced by the unique frequencies and intensities produced by an instrument.

The intensity of a stimulus, such as sound, can be encoded in two ways in the nervous system. One is by the rate of action potentials: an intense stimulus generates a rapid train of action potentials. The second method is by the number of receptors activated—the more intense the stimulus, the more receptors stimulated. The Central Nervous System (CNS) integrates these signals, further processing the sensory information into what we perceive.

What is the gravity between two objects proportional to?

Answers

The gravitational force between two objects is proportional to their masses and inversely proportional to the square of the distance between their centers.

Why is iron significant to understanding how a supernova occurs?

Answers

Answer;

Iron cannot release energy by fusion.

Explanation;Supernovae are some of the most magnificent events in the cosmos. When a massive star dies, it can result in a spectacular explosion many times that of man's total nuclear arsenal.When a star has used up all the lighter elements and has just iron left, it has no more nuclear "fuel". That causes the star to contract then explode very violently as a supernova.

Why are there temperature differences on the moon's surface even though there is no atmosphere present?

Answers

The lack of an atmosphere means convection cannot happen on the moon. Therefore, there is no form of heat dissipation on regions in direct sunlight. In addition, the lack of an atmosphere means there is no greenhouse effect on the moon. This is why regions facing away from sunlight are very cold.  

Final answer:

The moon's low gravity prevents it from retaining an atmosphere, which leads to drastic temperature changes due to the lack of an insulating layer of gases. Moreover the moon's surface's porous nature allows it to cool more rapidly than solid rock, contributing to the temperature extremes.

Explanation:

The primary reason for the large temperature differences on the moon's surface, despite the absence of an atmosphere, is related to the moon's gravity, surface composition, and the radiation from the Sun.

The moon has about one-sixth Earth's surface gravity. This is too low to retain an atmosphere. Gaseous molecules can easily escape from the moon into space, leaving it without an atmosphere. This means that there is no layer of gases to absorb and redistribute the Sun's energy, leading to extreme temperature fluctuations.

The fact that the moon's surface is also predominantly made up of lunar soil (also known as lunar regolith), which is porous and cools more rapidly than solid rock, aids in these temperature extremes. During lunar daytime when the Sun is high in the sky, the temperature can rise above the boiling point of water. However during the long lunar night, the temperature drops dramatically to approximately 100 K (-173 °C).

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as more resistors are added in series to a constant voltage source, the power supplied by the source will decrease. Why?

Answers

this is because the resistors cause the energy that is flowing through to go at a slower rate and this helps preserve a battery or power source. also it can be used as a trip for a alarm.

As more resistors are added in series to a constant voltage source, the current drawn from the source decreases, and as a result, the power supplied by the source also decreases, assuming the voltage remains constant.

Let's consider Ohm's Law, which states that the current (I) flowing through a circuit is directly proportional to the voltage (V) and inversely proportional to the resistance (R):

[tex]\[ I = \frac{V}{R} \][/tex]

The power (P) dissipated by a resistor is given by:

[tex]\[ P = I^2R \][/tex]

or, using Ohm's Law to eliminate I:

[tex]\[ P = \left(\frac{V}{R}\right)^2R = \frac{V^2}{R} \][/tex]

When resistors are added in series, the total resistance ([tex]R_total[/tex]) is the sum of the individual resistances:

[tex]\[ R_{total} = R_1 + R_2 + R_3 + \ldots \][/tex]

As [tex]R_total[/tex] increases, the current I decreases according to Ohm's Law. However, the power supplied by the source is not solely determined by the current; it is also influenced by the voltage and resistance.

If we keep the voltage constant and increase the resistance by adding more resistors in series, the power supplied by the source can be calculated using the formula:

[tex]\[ P_{source} = V \times I = V \times \frac{V}{R_{total}} = \frac{V^2}{R_{total}} \][/tex]

As [tex]R_{total}[/tex] increases, the denominator in the power equation increases, which means that the power supplied by the source will decrease if the voltage remains constant.

Which of the following sets of characteristics describes the image formed by a plane mirror?A. Virtual and invertedB. Real and uprightC. Virtual and uprightD. Real and invertedE. All the previous statements can be correct

Answers

Answer: Virtual and upright

A plane mirror is a highly polished flat surface with a very high capacity to reflect incident light.  

We can understand in a better way how this works with the figure attached:  

1. The incident rays coming from the real object reach the mirror and  

2.are reflected following the law of Reflection.  

3.The prolongation of those reflected rays converge at a point that does not coincide with the actual position of the object. At that point the virtual image of the object is formed.  

4.Then, the reflected divergent rays are captured by our eye converging on the retina.  

Now, the image is said to be virtual because it is a copy of the object that looks as if the object is behind the mirror and not in front of it or on the surface, but it is not really there. However, it can be seen when we focus it with our eyes.  

In addition, the image formed is:  

symmetrical, because apparently it is at the same distance from the mirror  

the same size as the object.  

upright, because it retains the same orientation as the object.

If the temperature of an iron sphere is increased a. Its mass will decreaseb. Its density will increasec. Its density will decreased. Its density will remain unchanged

Answers

a. Its mass will decreaseb.

A car is traveling in a race. The car went from the initial velocity of 35 m/s to the final velocity of 65 m/s in 5 seconds. What is the acceleration?

Answers

6 m/s is the acceleration

Answer:

6 m/s

Explanation:

edge 2021

A 1000-kg car is slowly picking up speed as it goes around a horizontal curve whose radius is 100 m. The coefficient of static friction between the tires and the road is 0.350. At what speed will the car begin to skid sideways?

Answers

Answer:

18.5 m/s

Explanation:

On a horizontal curve, the frictional force provides the centripetal force that keeps the car in circular motion:

[tex]\mu mg = m\frac{v^2}{r}[/tex]

where

[tex]\mu[/tex] is the coefficient of static friction between the tires and the road

m is the mass of the car

g is the gravitational acceleration

v is the speed of the car

r is the radius of the curve

Re-arranging the equation,

[tex]v=\sqrt{\mu gr}[/tex]

And by substituting the data of the problem, we find the speed at which the car begins to skid:

[tex]v=\sqrt{(0.350)(9.8 m/s^2)(100 m)}=18.5 m/s[/tex]

The car will begin to skid sideways at 18.5 m/s

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Further explanation

Centripetal Acceleration can be formulated as follows:

[tex]\large {\boxed {a = \frac{ v^2 } { R } }[/tex]

a = Centripetal Acceleration ( m/s² )

v = Tangential Speed of Particle ( m/s )

R = Radius of Circular Motion ( m )

[tex]\texttt{ }[/tex]

Centripetal Force can be formulated as follows:

[tex]\large {\boxed {F = m \frac{ v^2 } { R } }[/tex]

F = Centripetal Force ( m/s² )

m = mass of Particle ( kg )

v = Tangential Speed of Particle ( m/s )

R = Radius of Circular Motion ( m )

Let us now tackle the problem !

[tex]\texttt{ }[/tex]

Given:

mass of car = m = 1000 kg

radius of curve = R = 100 m

coefficient of static friction = μ = 0.350

Asked:

speed of the car = v = ?

Solution:

We will derive the formula to calculate the maximum speed of the car:

[tex]\Sigma F = ma[/tex]

[tex]f = m \frac{v^2}{R}[/tex]

[tex]\mu N = m \frac{v^2}{R}[/tex]

[tex]\mu m g = m \frac{v^2}{R}[/tex]

[tex]\mu g = \frac{v^2}{R}[/tex]

[tex]v^2 = \mu g R[/tex]

[tex]\boxed {v = \sqrt { \mu g R } }[/tex]

[tex]v = \sqrt { 0.350 \times 9.8 \times 100 }[/tex]

[tex]v = \sqrt { 343 }[/tex]

[tex]v = 7 \sqrt{7} \texttt{ m/s}[/tex]

[tex]\boxed {v \approx 18.5 \texttt{ m/s}}[/tex]

[tex]\texttt{ }[/tex]

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[tex]\texttt{ }[/tex]

Answer details

Grade: High School

Subject: Physics

Chapter: Circular Motion

Two objects of different masses accelerate at the same rate. According to Newton’s second law of motion, the more massive object requires________.
A.less speed to accelerate
B.less force to accelerate
C.more force to accelerate
D.more distance to accelerate

Answers

Newton's Second law of motion is

F = m * a   ( force = mass * acceleration).

So if a is constant   then a = F 1 / m1  and  a = F2 / m2  then

F1 /m1 = F2 /  m2 and if  m1 > m2 then

F1 must be greater than F2.

Answer is C.

According to Newton's second law, a more massive object requires more force to accelerate at the same rate as a less massive object.

When two objects of different masses accelerate at the same rate, according to Newton's second law of motion, the more massive object requires more force to accelerate. This is because the force needed to accelerate an object is directly proportional to both the object's mass (m) and its acceleration (a), as described by the equation Fnet = ma. Since we are considering the same acceleration for both objects, the object with the greater mass will necessitate a larger force to achieve that acceleration.

please help on this one?

Answers

a is the right answer

C reactant. Both 2C0 and 02 are reactants and 2C02 is the product

Sound waves travel through liquids tend to move faster than sound waves traveling through

Answers

sound waves travel through liquids tends to move faster than sound waves travelling through air (gases)

The direction of an electric field is the direction (5 points)
Select one:
a. a negative test charge will move in the field
b. a positive test charge will move in the field
c. either a positive or negative test charge will move in the field
d. the test charge may be either negative or positive

Answers

The direction of an electric field is determined from the behavior of a positive test charge that is set free in the electric field.This charge moves along a distinct vector showing the direction of the electric field  Therefore the answer is b. a positive charge will move in the field.

Light enters air from water. The angle of refraction will be A. less than the angle of incidence. B. greater than or equal to the angle of incidence. C. less than or equal to the angle of incidence. D. equal to the angle of incidence. E. greater than the angle of incidence.

Answers

Answer:

E. greater than the angle of incidence.

Explanation:

Snell's law states that:

[tex]n_i sin \theta_i = n_r sin \theta_r[/tex] (1)

where

[tex]n_i, n_r[/tex] are the refractive index of the first and second medium

[tex]\theta_i, \theta_r[/tex] are the angle of incidence and refraction, respectively

For light moving from water to air, we have:

[tex]n_i = 1.33[/tex] (index of refraction of water)

[tex]n_r = 1.00[/tex] (index of refraction of air)

Substituting into (1) and re-arranging the equation, we get

[tex]\sin \theta_r = \frac{n_i}{n_r} sin \theta_i = 1.33 sin \theta_i[/tex]

which means that

[tex]\theta_r > \theta_i[/tex]

so, the correct answer is

E. greater than the angle of incidence.

Light enters air from water. The angle of refraction will be

A. less than the angle of incidence. B. greater than or equal to the angle of incidence. C. less than or equal to the angle of incidence. D. equal to the angle of incidence. E. greater than the angle of incidence.Further explanation

Refractive Index is the value that calculated from the speed of light ratio in a vacuum to in a second medium of greater density. The refractive index variable is symbolized by the letter [tex]n[/tex] or [tex]n'[/tex] in descriptive text and mathematical equations.

Light enters air from water, the angle of refraction will be greater than the angle of incidence.

When light passed from a less dense to a more dense substance for example passing from air into water, the light is refracted towards the normal. The normal is a line perpendicular (forming a 90 degree angle) to the boundary between the two substances.

Hope it helps!

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Answer details

Grade:  9

Subject:  physics

Chapter:  refraction

Keywords:  The angle of refraction, the angle of incidence

WILL GIVE BRAINLYEST!!!!!!!!!!!!

A student suspends an object from a spring scale. A spring scale measures the weight of an object. The student records the weight. The student then submerges the object in water and observes that the spring shows a smaller weight than when the object was out of the water. The student then submerges the object in motor oil, vegetable oil, milk, and gasoline and observes the reading on the scale.

The independent variable in this experiment is the:
the weight read on the spring scale
the type of liquid in which the object was submerged
the size of the object
the amount of liquid in which the object was submerged

Answers

I would say it would be the weight read.

Only because the Control is the type of liquid and the constants are Size of object and amount of liquid

Answer:

the amount of liquid in which the object was submerged

Explanation:

As we know that spring balance will read the spring force that is exerted by spring on the object

Now when the object is suspended by the spring then in that case the spring force is balanced by the weight so spring will read the correct mass of the object.

Now the object is suspended by the spring and then submerged into the liquid so in that case we can say

[tex]F_{spring} + F_b = mg[/tex]

[tex]F_{spring} = mg - \rho_{liquid}Vg[/tex]

so here the reading will be less and it depends on volume of object and density of liquid

so independent variable will be

the amount of liquid in which the object was submerged

Which statement correctly describes the movement of thermal energy according to the second law of thermodynamics? The natural tendency of systems is for heat to flow from a cooler object to a warmer one. The natural tendency of systems is to evenly distribute energy until the objects are the same temperature. The natural tendency of systems is for heat to flow continuously between objects of the same temperature.

Answers

Your answer is B) The natural tendency of systems is to evenly distribute energy until the objects are the same temperature.

Answer:

The correct answer is:

The natural tendency of systems is to evenly distribute energy until the objects are the same.

Explanation:

Thermal equilibrium

When ever two bodies differing in temperatures comes in contact with each other heat flow takes place from hotter body to cooler body in order to establish an equilibrium in which temperature of both the bodies becomes constant.

According to second law of thermodynamics:

When the energy of the system increases, matter moves more freely and change in entropy that is disorderliness of the system increases.

This increase in entropy is due to the energy possessed by the matter particles which has resulted in their motion or movement

With this increase in entropy of system, system will start interacting with its surroundings .And this interaction will results in evenly distribution of energy in its surroundings.

when a laser shines on a screen after passing through two closely spaced slits, you see ___

Answers

Answer:

diffraction

Explanation:

diffraction occurs when light passes sharp edges or goes through narrow slits the rays are deflected and produce fringes of light and dark bands

When a laser passes through two closely spaced slits, a pattern of alternating light and dark bands called two-slit interference is observed, resulting from the constructive and destructive interference of the light waves. With a mixture of two colors of light, multiple, colorful interference patterns emerge on the screen.

When a laser shines on a screen after passing through two closely spaced slits, you observe a pattern called two-slit interference. This pattern consists of an array of alternating light and dark bands resulting from constructive and destructive interference of light waves. If the light consists of a mixture of two colors or more, each color will create its own interference pattern, leading to an even more complex pattern with potentially varied colorful bands depending on the wavelengths of light used.

If we use a mixture of light with two different wavelengths, we will see several interference/diffraction patterns superimposed on the screen. The width and spacing of these bands are influenced by the properties of the light like its wavelengths and the dimensions of the slits such as the slit width and separation between the slits. The result on the screen is a spectrum of colors emerging from the overlapping interference patterns of the different wavelengths. This fascinating phenomenon demonstrates the wave nature of light.

What wavelength of light contains enough energy in a single photon to ionize a hydrogen atom?

Answers

There's probably a much quicker, easier way to do it, but I don't work with this stuff every day so this is the way I have to do it:

First, I searched the "ionization energy" of Hydrogen on Floogle.  That's how much work it takes to rip the one electron away from its Hydrogen atom, and it's 13.6 eV (electron-volts).

In order to find the frequency/wavelength of a photon with that energy, I need the energy in units of Joules.

1 eV = 1.602 x 10⁻¹⁹ Joule  (also from Floogle)

13.6 eV = 2.179 x 10⁻¹⁸ Joule

OK.  Now we can use the popular well-known formula for the energy of a photon:

Energy = h · (frequency)  

or  Energy = h · (light speed/wavelength)

' h ' is Max Planck's konstant ... 6.626 × 10⁻³⁴ m²-kg / s

Wow !  The only thing we don't know in this equation is the wavelength, which is what we need to find.  That's gonna be a piece-o'-cake now, because we know the energy, we know ' h ', and we know the speed of light.

Wavelength = h · c / energy

Wavelength =

(6.626 x 10⁻³⁴ m²-kg/sec) · (3 x 10⁸ m/s) / (2.179 x 10⁻¹⁸ joule)

Wavelength = 9.117 x 10⁻⁸ meter

That's  91.1 nanometers .

It's not visible light (visible is between about 390 to 780 nm), but it's not as short as I was expecting.  I thought it was going to be an X-ray, but it's not that short.  X-rays are defined as 0.1 to 10 nanometers.  This result is in the short end of Ultra-violet.

(You have no idea how happy I am with this result.  I figured it out exactly the way I showed you, and I never peeked.  Then, AFTER I had my solution, I went to Floogle and searched to see what it really is, and whether I came out anywhere close.  I found it in the article on the "Lyman Series".  It says the wavelength of the energy released by an electron that falls in from infinity and settles in the n=1 energy level of Hydrogen is  91.175 nm !  This gives me a big hoo-hah for the day, and I'm going to bed now.)

Wavelength of the light is about 9.14 × 10⁻⁸ m

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Further explanation

The term of package of electromagnetic wave radiation energy was first introduced by Max Planck. He termed it with photons with the magnitude is :

[tex]\large {\boxed {E = h \times f}}[/tex]

E = Energi of A Photon ( Joule )

h = Planck's Constant ( 6.63 × 10⁻³⁴ Js )

f = Frequency of Eletromagnetic Wave ( Hz )

[tex]\texttt{ }[/tex]

The photoelectric effect is an effect in which electrons are released from the metal surface when illuminated by electromagnetic waves with large enough of radiation energy.

[tex]\large {\boxed {E = \frac{1}{2}mv^2 + \Phi}}[/tex]

[tex]\large {\boxed {E = qV + \Phi}}[/tex]

E = Energi of A Photon ( Joule )

m = Mass of an Electron ( kg )

v = Electron Release Speed ( m/s )

Ф = Work Function of Metal ( Joule )

q = Charge of an Electron ( Coulomb )

V = Stopping Potential ( Volt )

Let us now tackle the problem !

[tex]\texttt{ }[/tex]

Given:

energy of photon = E = 13.6 eV = 2.176 × 10⁻¹⁸ Joule

Unknown:

wavelength of light = λ = ?

Solution:

[tex]E = h \times \frac{c}{\lambda}[/tex]

[tex]2.176 \times 10^{-18} = 6.63 \times 10^{-34} \times \frac{3 \times 10^8}{\lambda}[/tex]

[tex]2.176 \times 10^{-18} = 1.989 \times 10^{-25} \div \lambda[/tex]

[tex]\lambda = (1.989 \times 10^{-25}) \div (2.176 \times 10^{-18})[/tex]

[tex]\lambda \approx 9.14 \times 10^{-8} \texttt{ m}[/tex]

[tex]\texttt{ }[/tex]

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[tex]\texttt{ }[/tex]

Answer details

Grade: College

Subject: Physics

Chapter: Quantum Physics

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Keywords: Quantum , Physics , Photoelectric , Effect , Threshold , Wavelength , Stopping , Potential , Copper , Surface , Ultraviolet , Light

As more lamps are put into a series circuit, the overall current in the circuit a. Increasesb. Decreasesc. Remains the same

Answers

Answer:

b. Decreases

Explanation:

The total resistance of a series circuit is equal to the sum of the individual resistances:

[tex]R_T=R_1+R_2+...+R_n[/tex] (1)

Therefore, as we add more lamps, the total resistance increases (because we add more positive tems in the sum in eq.(1).

The current in a circuit is given by Ohm's law:

[tex]I=\frac{V}{R_T}[/tex]

where V is the voltage provided by the power source and [tex]R_T[/tex] is the total resistance. We notice that the current, I, is inversely proportional to the total resistance: therefore, when more lamps are added to the series circuit, the total resistance increases, and therefore the current in the circuit decreases.

True or false? A protostellar cloud spins faster as it contracts

Answers

Answer:

No. The protostellar cloud spins faster in the collapsing stage (stage 1) and becomes much slower in the contraction stage (stage 2)

Explanation:

Once the cloud is so dense that the heat which is being produced in its center cannot easily escape, pressure rapidly rises, and catches up with the weight, or whatever external force is causing the cloud to collapse, and the cloud becomes stable, as a protostellar cloud.

The protostellar cloud will become more dense over thousands of years. This stage of decreasing size is known as a contraction, rather than a collapse. In the contraction stage the cloud has become much slower, and because weight and pressure are more or less in balance. In the first stage of formation, the decrease of size is very rapid, and compressive forces completely overwhelm the pressure of the gas, and we say that the cloud is collapsing.

At a particular instant, an electron moves toward the east in a uniform magnetic field that is directed straight downward. the magnetic force that acts on it is

Answers

Final answer:

The magnetic force acting on an electron moving eastward in a downward-directed uniform magnetic field would be to the north. This is determined by the right-hand rule, and the force direction is reversed because the electron carries a negative charge.

Explanation:

In the given scenario, an electron is moving in a uniform magnetic field that is directed straight downward. According to the right-hand rule, which is used to find the direction of force when a charged particle moves in a magnetic field, the force on the electron would be directed to the north. As electrons carry a negative charge, the force direction would be exactly opposite to that obtained using the right-hand rule.

The magnetic force acting on the electron is given by the Lorentz force law: F = qvBsinθ, where 'F' is the magnetic force, 'q' is the charge of the particle, 'v' is the velocity of the particle, 'B' is the magnetic field strength, and 'θ' is the angle between the velocity and the magnetic field vectors. Because the electron is moving eastward and the magnetic field is directed downward, they are perpendicular to each other (θ=90°). Hence sinθ in the equation becomes 1.

Since the charge of an electron (q) is negative, the direction of the magnetic force will be opposite to what the right-hand rule shows. Therefore, for an electron moving to the east in a magnetic field directed straight downward, the magnetic force will be directed to the north.

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One of the harmonics of a column of air in a tube that is open at one end and closed at the other has a frequency of 448 Hz, and the next higher harmonic has a frequency of 576 Hz. How long is the tube? The speed of sound in air is 343 m/s. One of the harmonics of a column of air in a tube that is open at one end and closed at the other has a frequency of 448 Hz, and the next higher harmonic has a frequency of 576 Hz. How long is the tube? The speed of sound in air is 343 m/s. 1.00 m 2.68 m 1.34 m 0.335 m 0.670 m

Answers

Answer:

1.34 m

Explanation:

For an open-end tube, the frequency difference between two consecutive harmonics is equal to the fundamental frequency of the tube:

[tex]f_1 = f_{n+1}-f_n[/tex]

In this case, we have

[tex]f_{n+1}=576 Hz\\f_n = 448 Hz[/tex]

so, the fundamental frequency is

[tex]f_1=576 Hz-448 Hz= 128 Hz[/tex]

For an open-end tube, the fundamental frequency is also given by:

[tex]f_1 = \frac{v}{2L}[/tex]

where v is the speed of sound and L the length of the tube.

Since we know v = 343 m/s, we can solve the formula for L:

[tex]L=\frac{v}{2f_1}=\frac{343 m/s}{2(128 Hz)}=1.34 m[/tex]

Final answer:

To find the length of the tube, we can use the formula v = fλ, where v is the speed of sound and f is the frequency. By calculating the wavelength for the fundamental frequency and the second harmonic, we can determine the length of the tube. In this case, the length of the tube is approximately 0.595 m.

Explanation:

To determine the length of the tube, we need to find the wavelength of each harmonic. The fundamental frequency corresponds to the first harmonic, so its wavelength is twice the length of the tube. The second harmonic has a wavelength equal to the length of the tube. Using the formula v = fλ, where v is the speed of sound and f is the frequency, we can solve for the length of the tube.



For the fundamental frequency:

v = fλ

λ = v/f



Substituting the values:

λ = (343 m/s) / 448 Hz



For the second harmonic:

λ = (343 m/s) / 576 Hz



Since the wavelength of the second harmonic is equal to the length of the tube, we can solve for the length:



Length = λ = (343 m/s) / 576 Hz



Substituting the values:



Length = (343 m/s) / (576 Hz)



Calculating the length:



Length = 0.595 m



Therefore, the length of the tube is approximately 0.595 m.

Match the glacier feature with its description.

A. (Kettles) Holes left by glaciers

B.( Drumlins) Egg-shaped hills

C.(Erratics) Three-sided valleys

D.(Cirques) Large, out-of-place boulders

Answers

Answer:

kettles: holes left by glaciers.

cirques: three-sided valleys

erratics: large, out-of-place rocks bouldersleft by glaciers.

drumlins: egg-shaped hills

Explanation:

Final answer:

Kettles are holes left by glaciers, drumlins are egg-shaped hills, erratics are large, out-of-place boulders, and cirques are three-sided valleys carved out by glaciers.

Explanation:

A. Kettles are holes left by glaciers. They are formed when a block of ice becomes buried in glacial sediments and then melts, leaving behind a depression or hole.

B. Drumlins are egg-shaped hills, typically found in clusters. They are formed when glaciers deposit sediments in elongated mounds parallel to the flow of the ice.

C. Erratics are large, out-of-place boulders that are transported by glaciers and left behind when the ice melts. They can be found in areas different from the type of rock they are made of.

D. Cirques are three-sided valleys carved out by glaciers. They are typically found at the head of a mountain valley and have steep walls.

A double-slit diffraction pattern is formed on a distant screen. If the separation between the slits decreases, what happens to the distance between interference fringes? Assume the angles involved remain small.

The effect cannot be determined unless the distance between the sits and the screen is known.
The distance between interference fringes increases.
The distance between interference fringes remains the same.
The distance between interference fringes also decreases.

Answers

Answer:

The distance between interference fringes increases.

Explanation:

In a double-slit diffraction pattern, the distance of the n-order fringe from the centre of the pattern is

[tex]y=\frac{n \lambda D}{d}[/tex]

where [tex]\lambda[/tex] is the wavelength of the light, D the distance of the screen, and d the separation between the slits.

If we take two adjacent fringes, n and (n+1), their distance is

[tex]\Delta y = \frac{(n+1)\lambda D}{d}-\frac{n\lambda D}{d}=\frac{\lambda D}{d}[/tex]

so, we see that it is inversely proportional to the slit separation, d.

Therefore, if the separation between the slits decreases, the distance between the interference fringes increases.

The nucleus of an atom contains positively charged particles, called protons, and neutral particles, called neutrons. How is the nucleus of an atom held together?

Answers

Final answer:

The nucleus of an atom, which contains positively charged protons and neutral neutrons, is held together by the strong nuclear force. This force overcomes the repulsive electromagnetic force between protons, allowing the nucleus to remain stable.

Explanation:

The nucleus of an atom is at the center and contains protons and neutrons, known together as nucleons. While the protons carry a positive charge, the neutrons are neutral. The presence of protons with like charges would typically cause them to repel each other due to electromagnetic force. However, protons and neutrons in the nucleus do not fly apart because they are bound together by the strong nuclear force. This is a much stronger force than the electromagnetic force that causes like charges to repel each other and it is the key to keeping the nucleus stable, despite the repulsion between positively charged protons.

Many nuclei contain roughly equal numbers of protons and neutrons, with these nucleons making up most of the atom's mass. The atomic nucleus is incredibly dense and occupies only a tiny portion of the atom's volume, suggesting its strong nuclear forces are short-range but potent within that small space.

It's the strong nuclear force that prevents the nucleus from disintegrating under the repulsive force experienced by the protons. Without this force, the positive protons would indeed repel each other and the atom would not be stable. The strong nuclear force ensures that atoms can exist and form the matter that constitutes the world around us.

Two long parallel wires placed side-by-side on a horizontal table carry identical size currents in opposite directions. The wire on your right carries current toward you, and the wire on your left carries current away from you. From your point of view, the magnetic field at the point exactly midway between the two wires

A) points away from you.
B) is zero.
C) points toward you.
D) points down.
E) points up.

Answers

Answer:

D) points down.

Explanation:

The problem can be solved by using the right-hand rule to determine the direction of the magnetic field produced by each wire:

- Thumb: direction of the current in the wire

- The other fingers wrapped around the wire: direction of the magnetic field

So let's apply this rule to both wires:

- Wire on the right:

-- Thumb: direction of current --> toward you

-- Other fingers: direction of magnetic field --> point down (at a point on the left of the wire, which is where we want to determine the total field)

- Wire on the left:

-- Thumb: direction of current -->away from you

-- Other fingers: direction of magnetic field --> point down (at a point on the right of the wire, which is where we want to determine the total field)

So, at the point exactly midway between the two wires, both magnetic fields point down, so when they add together the total field will also point down.

Which of these fractions represent the correct conversion factors (ratios)?

a. 1mm/10cm
b. 1000m/1km
c. 1m/100cm
d. 10km/1m
e. 1cm/10cm
f. 10cm/1m
g. 1m/1000mm


P.S. You can choose more than one answer.
Thank you!

Answers

Answer:

b. 1000m/1km

c. 1m/100cm

g. 1m/1000mm

Explanation:

To solve this you just have to keep in mind the conversion tables that meters have and that is given by the latin pre-fixes that are involved in their names:

1 meter.

1 kilo-meter, kilo means a thousand, so a kilo-meter would be a thousand meters.

1 mili-meter, mili means diveded by thousand, that means that there are a thousand mili-meters in a meter.

1 centi-meter, centi means divided by a hundred, so there are a hundred centi-meters in a meter.

That is why those are the correct options.

The standard fractions which represent correct conversion factors (ratios) are: 1000m/1km, 1m/100cm, 1m/1000mm.

This goes to say that:

1000m = 1km

1m = 100cm

1m = 1000mm.

Recall

10mm = 1cm

10cm = 1dm

10dm = 1m

1000m = 1km

What is conversions?

In mathematics and science, conversion simply refers to or means the conversion of one unit to another unit of the same quantity is performed using multiplicative or divisive conversion factors. We can convert from one unit of a parameter or quantity to another such as

LengthMassTime

Learn more about conversions:

https://brainly.com/question/16851332

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