f the earth's average surface temperature were to increase, the amount of radiation emitted from the earth's surface would __________ and the wavelength of peak emission would shift toward __________ wavelengths.

Frequency division multiplexing operates by dividing the signal into different frequencies

Explanation:

The technique that is used in the networking is the Frequency Division Multiplexing. using this technique, the existing bandwidths can be partitioned into different frequency bandwidths. These are not interrupting with each other. Each bandwidth can be used for carrying signals individually.

Using this technique many users can share a particular communication medium and they will not be interrupted with each other's communication.Hence this technique can also be termed as Frequency Division Multiple Access.

Frequency Division Multiplexing operates by dividing a signal into different frequencies to enable multiple transmissions at the same time. This method is used in FM radio and television broadcasts, as well as cell phone conversations and computer data transmissions.

Frequency Division Multiplexing (FDM) operates by dividing the signal into different frequencies. This can be seen in how FM (Frequency Modulation) radio signals are used. In FM radio transmission, the information is carried by varying the frequency of the carrier wave and keeping its amplitude constant. This forms different channels on which multiple signals can be transmitted simultaneously without interfering with each other.

Another example is how television broadcasts. Since a vast amount of visual and audio information needs to be carried, each channel requires a larger range of frequencies, these fall under VHF and UHF (high to ultra-high frequencies).

Cell phone conversations and computer data are also transmitted using a similar approach by converting the signal into a sequence of binary ones and zeros. This binary sequence can be transmitted via different frequencies, allowing multiple data transmissions to take place at the same time.

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Answer:

half filled bucket requires more force to stop

Explanation:

When spinning a bucket half filled it is clear that is has greater mass of water than the quarter filled bucket.

While revolving any mass tied about a fixed point we have a centripetal force acting on the bucket which makes it take the circular path during the motion.

This is centripetal force is given as:

[tex]F_c=m.\frac{v^2}{r}[/tex]

where:

[tex]m=[/tex] mass of the revolving body

[tex]v=[/tex] tangential velocity

[tex]r=[/tex] radius of revolution

The revolving mass has to be brought to rest in this case the momentum of the heavier mass will be greater and from the Newton's second law of motion we have the the rate of change in momentum directly proportional to the force applied.

Mathematically:

[tex]F=\frac{d}{dt}(m.v)[/tex]

here the mass is constant so,

[tex]F=m.\frac{d}{dt} v[/tex]

Therefore if the length of the rope, and the speed of revolution is same in both the case then the half filled bucket whose mass is greater than the quarter filled bucket will require more force to stop the circular motion of the bucket.

Answer:  so there is potiental enrgy need to stop spinning the bucket

Explanation:The Force of and bucket outcome is determed by the force of that i uesd to

Answer:

The lowest frequency is 45.01 Hz.

The second lowest frequency is 135.03 hz.

The highest frequency is 19993.4 Hz.

Explanation:

Given that,

Length = 1.85 m

Range of frequency = 20 hz - 20000 Hz

Temperature = 18.0°C

Suppose, the tube is closed at one end  lowest frequency , second lowest frequency   and highest frequency

We need to calculate the velocity of sound

Using formula of sound velocity

[tex]v=v_{0}+0.61\times T[/tex]

Put the value into the formula

[tex]v=332+0.061\times18[/tex]

[tex]v=333.09\ m/s[/tex]

(a). For closed end,

We need to calculate the lowest  and second lowest frequency

Using formula of frequency

[tyex]f_{n}=(2n+1)\times\dfrac{v}{4l}[/tex]

If n =0

[tex]f_{0}=\dfrac{v}{4l}[/tex]

Put the value into the formula

[tex]f_{0}=\dfrac{333.09}{4\times1.85}[/tex]

[tex]f_{0}=45.01\ Hz[/tex]

If n = 1

[tex]f_{1}=\dfrac{3v}{4l}[/tex]

Put the value into the formula

[tex]f_{1}=\dfrac{3\times333.09}{4\times1.85}[/tex]

[tex]f_{1}=135.03\ Hz[/tex]

Now, The maximum audible range is 20000 Hz.

We need to calculate the value of n

Using formula of frequency

[tex]f_{n}=(2n+1)\dfrac{v}{4l}[/tex]

Put the value into the formula

[tex]20000=(2n+1)\times45.01[/tex]

[tex]20000=2n\times45.01+45.01[/tex]

[tex]n=\dfrac{20000-45.01}{2\times45.01}[/tex]

[tex]n=221.6[/tex]

We need to calculate the maximum frequency

Using formula of frequency

[tex]f_{n}=(2n+1)\dfrac{v}{4l}[/tex]

Put the value into the formula

[tex]f_{221.6}=(2\times221.6+1)\times45.01[/tex]

[tex]f_{221.6}=19993.4\ Hz[/tex]

Hence, The lowest frequency is 45.01 Hz.

The second lowest frequency is 135.03 hz.

The highest frequency is 19993.4 Hz.

Final answer:

To find the resonant frequencies of a 1.85 m long tube, calculate the speed of sound at 18.0°C, and determine the wavelengths for both an open and closed tube. Use these to calculate the fundamental frequencies, which are 92.5 Hz for the open tube and 46.3 Hz for the closed at one end tube, with higher harmonics also possible in the audible range.

Explanation:

The question involves calculating the resonant frequencies of a tube at a certain temperature, which relates to the physics concept of standing waves in air columns. Specifically, a 1.85 m long tube will produce different frequencies based on whether it's closed at one end or open at both ends, due to the formation of nodes and antinodes. At 18.0°C, the speed of sound in air can be calculated using the formula v=331.4 + 0.6T, where T is the temperature in degrees Celsius. This gives 331.4 + 0.6(18.0) = 342.2 m/s for the speed of sound. The wavelength λ for the fundamental frequency (for a tube open at both ends) is 2L, where L is the length of the tube. Thus, λ = 2(1.85 m) = 3.70 m. The frequency can then be calculated using f = v/λ, resulting in approximately 92.5 Hz. For a tube closed at one end, the fundamental frequency has a wavelength of 4L, because only quarter-wavelengths can fit in the tube, making the fundamental frequency approximately 46.3 Hz. Higher harmonics can also be calculated for both cases, but they will depend on the number of nodes and antinodes that can fit within the tube for closed and open situations respectively.

Hydraulic fracturing involves several of Earth's system spheres including the geosphere (with drilling into rock formations), the hydrosphere (with extensive use of water), and the biosphere (potential impacts on ecosystems).

The scientific investigation on hydraulic fracturing involves several of Earth's systems, specifically the biosphere, the hydrosphere, and the geosphere. The geosphere is involved as hydraulic fracturing involves the extraction of natural gas from deep underground rock formations. The hydrosphere is engaged as large quantities of water are used in the process, potentially affecting water resources. Finally, the biosphere is implicated as there could possibly be impacts on local ecosystems and wildlife from the operation and waste produced from the process.

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Answer:

kinetic frictional force opposes the relative motion between the surfaces in contact of the book and the table.

Explanation:

Answer:

Case A: - x axis

Case B: - x axis

Case C: no force as the direction of v and B are parallel.

Explanation:

Solution:

- The direction of Force exerted by the magnetic field B with a moving charge q with a velocity of v is given by an expression:

                                     F = q*(v x B)

- Where F: force vector exerted by the field

             v: velocity vector of charged particle q.

             B: magnetic field direction

- The cross product of v with B:

       We will use right hand rule in which our fingers curl from v to B, the direction of the thumb denotes the direction of applied force. Hence,

                                Case A: - x axis

                                Case B: - x axis

                                Case C: no force as the direction of v and B are parallel.

Final answer:

The direction of the magnetic force on a positively charged particle moving through a uniform magnetic field is determined by the right-hand rule 1 (RHR-1). The force is perpendicular to the plane formed by the particle's velocity and the magnetic field. The direction of the force depends on the charge of the particle and is opposite for positive and negative charges.

Explanation:

The direction of the magnetic force on a positively charged particle moving through a uniform magnetic field is determined by the right-hand rule 1 (RHR-1). According to RHR-1, if you point your right thumb in the direction of the particle's velocity (v) and your right fingers in the direction of the magnetic field (B), then your right palm will point in the direction of the magnetic force (F) acting on the particle.

For example, if the particle is moving perpendicular to the magnetic field (B), as shown in the figure, and the particle has a positive charge, then the force (F) will be directed outward from the plane formed by v and B.

It's important to note that the direction of the magnetic force on a negatively charged particle will be in the opposite direction to that on a positively charged particle.

Answer:

1.86 s

Explanation:

Given the expression

h(t) = -16t²+ 64...................... Equation 1

Where h = height of the object, t = time it will take the object to hit the ground.

Given: h = 64 foot.

We have to concert from foot to meters

If 1 foot =  0.3048 meters

Then, 64 foot = 0.3048×64 = 19.51 meters.

We substitute the value of h into equation

119.51 = -16t²+64

-16t² = 199.51-64

-16t² = 55.51

t² = 55.51/-16

t² = 3.469

t = √3.469

t = 1.86 s.

Hence it will take the object 1.86 s to hit the ground.

Answer:

1keff=1k1+1k2

see further explanation

Explanation:for clarification

Show that the effective force constant of a series combination is given by 1keff=1k1+1k2. (Hint: For a given force, the total distance stretched by the equivalent single spring is the sum of the distances stretched by the springs in combination. Also, each spring must exert the same force. Do you see why?

From Hooke's law , we know that the force exerted on an elastic object is directly proportional to the extension provided that the elastic limit is not exceeded.

Now the spring is in series combination

F[tex]\alpha[/tex]e

F=ke

k=f/e.........*

where k is the force constant or the constant of proportionality

k=f/e

[tex]f_{eff} =f_{1} +f_{2}[/tex]............................1

also for effective force constant

divide all through by extension

1) Total force is

Ft=F1+F2

Ft=k1e1+k2e2

F = k(e1+e2) 2)

Since force on the 2 springs is the same, so

k1e1=k2e2

e1=F/k1 and e2=F/k2,

and e1+e2=F/keq

Substituting e1 and e2, you get

1/keq=1/k1+1/k2

Hint: For a given force, the total distance stretched by the equivalent single spring is the sum of the distances stretched by the springs in combination.

Impulse delivered

or

Change in momentum.

Final answer:

The area under the net external force vs time graph is equal to impulse or change in momentum, representing the impulse-momentum theorem.

Explanation:

The area under the curve of the net external force vs time graph is equal to impulse or change in momentum. This relationship arises from Newton's second law of motion, which states that the force acting on an object is equal to the rate of change of its momentum. In graphical terms, when force is plotted on the y-axis and time on the x-axis, the area under the curve represents the impulse, which is the product of the force and the time interval over which it acts. This impulse is equivalent to the change in momentum of the object according to the impulse-momentum theorem.

Answer:

Explanation:

a )

Force on 5 nC due to -3 nC

= 9 x 10⁹x 5 x 3 x 10⁻¹⁸ / ( 5 x 10⁻²)²

= 5.4 x 10⁻⁵ N

X component = 5.4 x 10⁻⁵ cosθ

= -5.4 x 10⁻⁵ x 3/5

= -3.24 x 10⁻⁵ N

y component

= -5.4 x 10⁻⁵ x 4/5

= -4.32 x  10⁻⁵ N

Force on 5 nC due to 2 nC

= 9 x 10⁹x 5 x 2 x 10⁻¹⁸ / ( 3 x 10⁻²)²

= 10 x 10⁻⁵ N

x component = 10 x 10⁻⁵ N

Total x component = (10-3.24)x10⁻⁵ N

= 6.76 x 10⁻⁵ N

y component =   -4.32 x  10⁻⁵ N

magnitude = √( 6.76² + 4.32²) x 10⁻⁵ N

= 8 .02 N

DIRECTION =

Tan θ = -4.32 / 6.76

θ = 32.5

with negative x -direction , south west.

One can find the total forces exerted on the third charge in x and y directions using Coulomb's Law. The total force endured by the third charge is calculated by computing the vector sum of the individual forces. The direction of this force is determined using trigonometric principles.

Using Coulomb’s law, we can determine the forces exerted by each individual charge on the third charge. First, we need to find the distance between each charge and the third charge. We have (x12 = 3 cm, y12 = 4 cm) for the first charge and (x23 = 0 cm, y23 = 0 cm) for the second charge.

Now, the forces in x and y directions can be calculated using the formula: F = k * |q1 * q2| / r², where k is Coulomb's constant, q1 and q2 are the magnitudes of the charges, and r is the distance between the charges.

The components of the total force experienced by the third charge due to the first and the second charge can be calculated by adding the individual forces in both x and y directions. For total force magnitude use this formula: Ftotal = sqrt((Fx)² + (Fy)²).

To find the direction of the total force, you can use this formula: Tan θ = Fy / Fx. The direction of the force will be in the quadrant of the combined forces.

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Answer: Symbol A

Explanation:

The four symbols described here represent:

- Symbol A shows two dots and a line draw from one not connected to the other.  --> this is an open switch. A switch is component of a circuit that is used to open/close the circuit in order to interrupt/allow the flow of current through the circuit. In this case, the switch is open, since the line does not connect the second dot.

- Symbol B shows two dots and a line draw from one connected to the other.  --> this is the symbol used to represent the switch when it is closed, so it is a closed switch.

- Symbol C shows vertical lines in the pattern long, short, long, and short with a plus and minus symbol on it. --> this symbol represents a battery, which consists of two or more cells and provides the electromotive force that pushes the electrons along the circuit.

Therefore, the correct symbol representing the open switch is

Symbol A

For this case we have that by definition, the switch is a control component that opens or closes a circuit.

It is necessary to emphasize that if the switch is open then the flow of electrons from one point to another is not allowed. Thus, it is said that we are in the presence of an open circuit.

The correct option is symbol A, an open switch is shown graphically in the attached image.

Answer:

Option B

When a hammer drives a nail into a board, it does work on the nail, resulting in the hammer's mechanical energy being less after the impact due to the transfer of kinetic energy. The correct answer is C. Less, because the hammer has done work.

The question relates to mechanical energy and work in a physics context, specifically during the interaction between a hammer and a nail. When a hammer drives a nail into a board, it transfers some of its kinetic energy to the nail, doing work on the nail. As the kinetic energy is transferred from the hammer to the nail, the hammer's mechanical energy decreases. Therefore, the correct answer is C. Less, because the hammer has done work. This is due to an inelastic collision where some of the kinetic energy is not conserved in form of kinetic energy but could be converted into other forms such as thermal energy or energy needed to deform the nail and the wood.

Answer:

40 seconds

Explanation:

Thrusting speed = V

Where V=at

a= F/m

Therefore V = Ft/m

F = 1200kN = 1200000N

t = 20s

m = 8.0 * 104 kg

V = 1200000 * 20 / 80000

V = 300m/s

Time for the spaceship to coast a distance of 12km

Distance = Vt

t = 12000/300 = 40seconds

The time taken for taking the  spaceship to coast this distance is 40 seconds

Thrusting speed = V

Where

V=at

And,  

[tex]a= F\div m[/tex]

Therefore [tex]V = Ft\div m[/tex]

Now  

F = 1200kN

= 1200000N

t = 20s

[tex]m = 8.0 \times 104 kg[/tex]

Now  

[tex]V = 1200000 \times 20 \div 80000[/tex]

V = 300m/s

Time for the spaceship to coast a distance of 12km

Distance = Vt

[tex]t = 12000\div 300[/tex]

= 40seconds

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Answer:

(a)  (18m/s/t₁)m/s²

(b) -12.5m/s²

(c) -20mls²

Explanation:

(a) Let t₁ be the initial time

a = v-u/t    

acc = (18m/s/t₁)m/s²

(b) acc = -30m/s/2.4

= -12.5m/s²

(c)The particle was at a speed of 18m/s in the positive x-direction and later after 2.4s ≡Δt, it was at speed of -30m/s in the negative x-direction.

so this imply that the velocity was first v₁ =18m/s and later v₂ = -30m/s.

The average acceleration is then:

Aavg = Δv

             Δt

= v₂-v₁/Δt

= -30-18/2.4 =  -20mls²

Answer: B. Sensation

Explanation:

Sensation is input about the physical world obtained by our sensory receptors, and perception is the process by which the brain selects, organizes, and interprets these sensations. In other words, senses are the physiological basis of perception. Perception of the same senses may vary from one person to another because each person’s brain interprets stimuli differently based on that individual’s learning, memory, emotions, and expectations.

The sensitivity of a given sensory system to the relevant stimuli can be expressed as an absolute threshold. Absolute threshold refers to the minimum amount of stimulus energy that must be present for the stimulus to be detected 50% of the time.

Sometimes, we are more interested in how much difference in stimuli is required to detect a difference between them. This is known as the just noticeable difference (jnd) or difference threshold.

Final answer:

The initial detection of physical stimuli such as odors, light, and sound is known as sensation, which is distinct from perception, the interpretation of these stimuli.

Explanation:

When we initially detect physical stimuli such as odors, light, and sound, the process is referred to as sensation. Sensation occurs when sensory receptors detect sensory stimuli, involving the conversion of physical energy like light or sound waves into a form of energy that the brain can understand, which is electrical stimulation. On the other hand, perception involves the organization, interpretation, and conscious experience of those sensations. It is during the perception process that we can identify specific objects, sounds, or smells and comprehend what they mean or represent in our environment. While absolute threshold refers to the minimum amount of stimulus energy required to be detected about 50% of the time, it is not the initial detection of stimuli itself.

The object's weight on the other planet is determined by the force of gravity on that planet, which depends on the planet's mass and radius. The object's weight can be found by plugging these values into the formula for gravitational force, once the actual mass of the object is obtained by dividing its weight on Earth by the Earth's gravitational acceleration.

To find the weight of the object on the other planet, we need to calculate the gravitational pull on that planet. The force of gravity is given by the formula F = G * (m1 * m2) / r^2, where G is the gravitational constant, m1 and m2 are the masses of the objects, and r is the distance between the centers of the two objects (which in this case is the radius of the planet).

On Earth, the object weighs 100 lbs. This is its mass times the gravity of Earth, which is roughly 9.8 m/s^2. So we can find the mass of the object by dividing the weight (100 lbs) by the acceleration due to gravity (9.8 m/s^2).

The planet in question is stated to have 3 times the Earth's radius and 5 times its mass. So we substitute these values into the formula along with the mass of the object we calculated, and solve for F, the force, which will be the weight of the object on the other planet.

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Answer: 2000 v/m, from B to A.

Explanation: if point A is at the origin (x=0m) and point B is at the point x= 0.150m, the distance between both points (d) = 0.150 - 0 = 0.150m

Point A is at a 200v potential and point B is at a potential of 500v.

Difference in potential produces a voltage (v) = 500 - 200 = 300v.

The relationship between voltage, electric field intensity and distance is given by the formulae below

v=Ed

Where v = voltage = 300v, electric field =?, d = 0.150m

300 = E×0.150

E = 300/0.150

E = 2000 v/m.

Since point B is at higher potential than A, it implies that if there is an electron in this field, it will move from B to A thus making the direction of field be from B to A.

The electric field's magnitude is 2000v/m and its direction is from B to A along the negative x-axis.

The electric field (E) in a region of space is defined as the electric force per unit charge. The electric field direction is taken to be the direction of the force it would exert on a positive test charge. The electric potential at a point in the field is the work done in bringing unit positive charge from infinity to that point. In your case, the electric potential difference, ΔV between point A and point B is: ΔV = Vb - Va = 500v - 200v = 300v. The separation between A and B, Δx is 0.150m. The magnitude of the electric field E can be calculated by the equation E = - ΔV / Δx = - 300v / 0.150m = - 2000v/m. The negative sign indicates that the field direction is from B to A along the negative x-axis.

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Answer:

"Electromagnetic radiation travels or propagates through space in the form of a wave but can interact with matter as a particle of energy called a photon. This dual nature is referred to as" Wave particle duality  (answer)

Explanation:

Electromagnetic radiation is created when an atomic particle, such as an electron, is accelerated by an electric field, causing it to move, and it is a form of energy that spreads as both magnetic and electrical waves that travels in vessels of energy called photons.

All types of electromagnetic radiation travel at the speed of light, radiation can be also described in terms of particles of energy, called photons. Electromagnetic radiation is generated when an electrical charge is accelerated. The acceleration produces oscillating electric and magnetic fields. Electromagnetic radiation ranges from gamma rays with very short wavelength to long radio waves. Electromagnetic radiation has the dual nature: its exhibits wave properties and photon properties.

Waves are characterized by frequency, wavelength, speed and phase, where as, a photon is the basic unit of all light. Wave particle duality can be explained as when an entity exhibits a wavelike and a particlelike properties though these properties never appear simultaneously.

Series Circuit.

There is only one path in which electrons can flow in a circuit.

Algebraic Formulas (for n number of components)

I = I1 = I2 = I3 =In

V= V1 + V2 + V3 + - - -  + Vn

Req = R1 + R2 + R3 + - - -  + Rn

Vn = I Rn                

Parallel Circuit.

There is more than one path in which electrons can flow in a circuit.

Algebraic Formulas

I = I1 + I2 + I3 = - - - - - +In

V= V1 = V2 = V3 + - - - - - = Vn  

1/Req = 1/R1 + 1/R2 + 1/R3 + - - - - - + 1/Rn

V = In Rn  

Answer:

The Total Momentum before and after collision remains the same.

Explanation:

Note that the balls have the same masses.

A moving cue ball has an initial momentum. After every collision with another stationary ball, the momentum, which is the product of their mass and velocity, of the balls is conserved. This simply means that the total momentum before the collision is the same as the total momentum after the collision.

This also means that the energy must be conserved as well. The balls cannot fling away from each other with more energy than you give them.

Answer:

Total momentum is conserved before and after collusion and it's elastic.

Explanation:

For two colliding balls, the general vector equation for conservation of linear momentum is giving as

Ma*V1a = Ma*V2a + Mb*V2b

Where Ma=mass of que ball = Mb = mass of billiard ball so therefore

V1a= velocity of que ball before impact, V2a = velocity of que ball after impact, V2b = velocity of billiard ball after impact.

So therefore:

V1a = V2a + V2b

Answer: Option A : Technician A

Explanation:

The statement/observation, "that the starter motor used to crank diesel engines can draw up to 400 amps of current" made by Technician A is correct.

A diesel engine uses up to 400+ Amperes of electricity to start up a diesel engine in the ignition chamber of motor engine.

Answer: Acoustic or sound wave

Explanation:

Acoustic wave is a type of wave energy that travels through a medium by adiabatic compression and decompression, they have acoustic velocity which is determined by the type and nature of medium they travel through. They are mechanical and longitudinal waves with characteristic features such as amplitude, period, frequency and wavelength.

Final answer:

After deploying the parachute, a skydiver does experience nonzero acceleration as the increased drag causes rapid deceleration until reaching a new lower terminal velocity.

Explanation:

Immediately after deploying her parachute, a skydiver does indeed have a nonzero acceleration. When a parachute opens, it rapidly increases the area exposed to air resistance, causing a significant increase in drag. As a result, the force of air resistance acting on the skydiver greatly exceeds the force of gravity, which causes a rapid deceleration of the skydiver. The magnitude of this deceleration is determined by the net force acting on the skydiver, which now includes the strong opposing force from the parachute's drag. This deceleration continues until the skydiver reaches a new, much lower terminal velocity with the parachute open.

Answer:

The Sun's temperature were doubled, it would give off 16X more energy.

Explanation:

The Stefan's law gives the relationship between total energy radiated per unit surface area of a black body and the temperature. It is given by :

[tex]j\propto T^4[/tex]

[tex]j=\sigma T^4[/tex]

[tex]\sigma[/tex] is the constant of proportionality called the Stefan–Boltzmann constant

T is temperature

So, the correct statement regarding Stefan's Law is that if the Sun's temperature were doubled, it would give off 16 X more energy. Hence, the correct option is (C).

Final answer:

Stefan's Law, or the Stefan-Boltzmann law, indicates the power output of a black body like the Sun would increase by a factor of 16 (C) if its temperature were to double, due to the relationship where energy flux is proportional to the fourth power of temperature. Hence, (C) is the correct option.

Explanation:

The correct answer to the statement 'Stefan's Law says' is that if the Sun's temperature were doubled, it would give off 16X more energy.

This relationship is known as the Stefan-Boltzmann law and states that the total energy flux (energy radiated per square meter) from a black body, such as a star, is proportional to the fourth power of its absolute temperature, as expressed in the formula [tex]F = \sigma\T4[/tex] (with sigma being the Stefan-Boltzmann constant).

Therefore, if the temperature of the Sun were to double from its current temperature (approximately 5800 K to 11600 K), its power output, or radiated energy, would increase by a factor of 24 or 16.

Answer:

The correct answer is

35.01 m/s

Explanation:

To solve the question, we note the given variables thus

Height of platform S = 1.6 m

Distance from the platform the ball landed = 20 m

S = ut + 0.5gt² therefore 1.6 = 0.5 × 9.81 × t² or t = 0.57 s

Distance = 20 m  = velocity × time

Therefore velocity = Distance / time = 20 m/0.57 s = 35 m/s

Answer:

Explanation:

Answer:

The question is incomplete or some details are missing. The last part of the question says ; What is the total distance, side to side, that the top of the building moves during such an oscillation? Express your answer to two significant figures and include the appropriate units.

Total distance (x) = 0.3972m

Explanation:

The detailed steps is as shown in the attachment

Answer:

-433 MJ of work

Explanation:

Given:

Displacement of the sailboat is, [tex]d=10.00\ km[/tex] towards north

Force applied by the wind is, [tex]F_w=5.00\times 10^4\ N[/tex]

Direction of the force is, [tex]\theta=30(Towards\ East\ of\ South)[/tex]

The vector diagram representing the given scenario is shown below.

We know that, work done by a force is the dot product of force and displacement and is given as:

[tex]W=F\cdot d=Fd\cos x[/tex]

Where, 'x' is the angle between the tails of the vectors 'F' and 'd'.

Now, from the figure below, we can find 'x'.

[tex]x=180-\theta=180-30=150[/tex]

Now, plug in all the given values and solve for 'W'.

[tex]W=(5.00\times 10^4\ N)(10.00\times 10^3\ m)(\cos 150)\\\\W=-433012702\ J =-433\ MJ[/tex]

Therefore, the work done by the wind is nearly 433 MJ. The negative sign implies that the force acts in the direction opposite to the displacement.

Answer:

Tension in the string will be 19.293 N

Explanation:

We have given length of the string r = 42.1 cm = 0.421 m

Mass of the stone m = 1000 gram

We know that 1000 gram = 1 kg

Velocity in the circular path v = 2.85 m/sec

We have to find the tension in the string

Tension in the string will be equal to centripetal force

So tension [tex]T=\frac{mv^2}{r}[/tex], here m is mass, v is velocity and r is length of the string

So tension in the string [tex]T=\frac{1\times 2.85^2}{0.421}=19.293N[/tex]

So tension in the string will be equal to 19.293 N

Answer:

Earth attract the Moon with a force that is greater.

Explanation:

According to the law of gravitation, the gravitational force between two masses is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

Mathematically, F1 = Gm1m2/r²... 1

Let m1 be the mass of the earth and m2 be that of the moon

If the Earth is much more massive than is the Moon, the new force of attraction between them will become;

F2= G(2m1)m2/r²

F2 = 2Gm1m2/r² ... (2)

Dividing eqn 1 by 2 we have;

F1/F2 = (Gm1m2/r²)÷(2Gm1m2/r²)

F1/F2 = Gm1m2/r²×r²/2Gm1m2

F1/F2 = 1/2

F2=2F1

This shows that that the earth will attract the moon by a force 2times the initial force of the masses(i.e a much greater force)

The ice in first container melts fastly because the container is made of material with low specific heat capacity. The material is a poor insulator.

The heat energy required to raise the temperature of a substance by one degree Celsius per one gram of that substance is called its specific heat capacity. It is an intensive property.

Less the specific heat, heat energy required by the material is less to increase the temperature. If a substance is having higher specific heat it requires more heat energy and it is a poor conductor.

To melt a substance heat energy is required to absorb by the substances to weaken the intermolecular forces. If the ice in container melts easily than the ice in other container, the material of the first container is made with material of less specific heat.

The material with less specific heat is a thermal conductor. Therefore, option A is correct.

Find more on specific heat:

https://brainly.com/question/21041726

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