Why is the choice of a radiopharmaceutical important in radioisotope imaging?
A diagram of a closed circuit with a power source on the left labeled 120 V. There are 3 resistors in parallel, separate paths, connected to it labeled 5.0 Ohms, 10.0 Ohms and 15.0 Ohms.
What is the equivalent resistance in this parallel circuit?

Ω

What is the voltage in the circuit?

V

What is the total current in the circuit?

A

Answers

Answer 1

The radiopharmaceutical is important in radioisotope imaging because it must be able to show the required organ correctly. The equivalent resistance is 2.72 ohm and the current is  44.1 A.

What is a circuit in parallel?

We know that when a circuit have been connected in parallel then it means that the resistors have been connected to a common junction. It is clear that we have the circuit that have the resistors;  5.0 Ohms, 10.0 Ohms and 15.0 Ohms.

We then have;

1/R = 1/5 + 1/10 + 1/15

1/R = 0.2 + 0.1 + 0.067

R = 2.72 ohm

The current in the circuit can be obtained from;

I = 120 V/ 2.72 ohm

I = 44.1 A

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Related Questions

What is the net force in this image?

Answers

Answer:

D

Explanation:

If we ignore certain factors, then the net force is 0N, because we have two equal but opposite forces (10N-10N).

a perfectly elastic collision is a collision: a perfectly elastic collision is a collision: between two springs. that conserves thermal energy. that conserves kinetic energy. that conserves potential energy. that conserves mechanical energy. submitrequest answer

Answers

perfect elastic collusion is a collision that conserves kinetic energy.

in physics, an elastic collision is an encounter between two bodies where the total kinetic energy of the two bodies remains the same. In an ideal, perfectly elastic collision, no kinetic energy is converted into other forms such as heat, noise, or potential energy

The main reason why there is no loss of energy is because of the lack of collusion. it can be either one-dimensional or two dimensional

The linear momentum of the system as a whole does not change, but the individual momentums of the components involved change, being equal and opposite in magnitude, canceling each other out, and conserving the initial energy

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Consider a box resting on a horizontal surface. The box has a mass of 2.13 kg and the coefficient of static friction between the box and the surface is 0.151. Determine the force that must be applied down at a 37.8º angle to the horizontal to make the box start moving.

Answers

The force that must be applied down at an angle of 37.8° to the horizontal to make the box start moving is 3.99 N.

What is force?

Force is obtained by multiplying the mass of a body by its acceleration.

To calculate the force that must be applied to make the box start moving, we use the formula below.

Formula:

F = mgμ/cos∅......... Equation 1

Where:

F = Force applied to the boxm = Mass of the boxg = Acceleration due to gravityμ = Cofficient of static friction∅ = Angle

From the question,

Given:

m = 2.13 kgg = 9.8 m/sμ = 0.151∅ = 37.8°

Substitute these values into equation 1

F = (2.13×9.8×0.151)/(cos37.8°)F = 3.99 N

Hence, the force that must be applied to the box is 3.99 N.

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From the information given in the diagram below, find the coefficient of friction between
the 43 kg box and the surface on which it is pulled. Note that the box is accelerating at
0.79 m/s2.

Answers

Answer:

μ = 0.55

Explanation:

Given:

m = 43 kg

a = 0.79 m/s²

F pull = 265 N

_____________

μ - ? Friction coefficient

2 Newton's law:

m·a = Fpull  - μ·m·g

μ·m·g = Fpull - m·a

Friction coefficient:

μ = (Fpull - m·a) / (m·g)

μ = (265 - 43·0.79) / (43·9.8) ≈ 0.55

The scientific method is a process, consisting of steps that need to be followed in order to answer questions to observations we may have about the world around us.
true or false

Answers

True.

According to Merriam-Webster:

"principles and procedures for the systematic pursuit of knowledge involving the recognition and formulation of a problem, the collection of data through observation and experiment, and the formulation and testing of hypotheses"

Answer:

True

Explanation:

The SCIENTIFIC METHOD is the process of establishing facts through experiments and tests. The process includes getting an observation, making hypothesis, making a prediction, implementing the experiment and submitting the analysis report.

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Claify each planet a an inner planet or an outer planet. Planet A ha 67 moon, and
major part of it atmophere
are hydrogen and helium. Planet B ha ring but
not much atmophere. Planet C ha no moon but
ha high volcanic activity
Known a the red planet, planet
D ha high amount of carbon
dioxide in it atmophere and
ha two moon. Planet E ha a thin layer of
atmophere but no moon due
to the effect of the Sun’ gravity. Planet F ha 27 moon, and it
atmophere i motly compoed
of hydrogen, helium, and methane

Answers

The inner planets are Planets C , D and E.

The outer planets are Planets A. B and F.

How many types of planets are there in our Solar System?

Astronomers frequently divide our Solar System's planets into two groups: the inner planets and the outer planets.

Inner Planets

Due to their position, nearer to the Sun, the inner planets are smaller and more rocky. Mercury, Venus, Earth, and Mars are the inner planets, which are listed in order of proximity to the sun from closest to farthest. The four inner planets are referred to as "terrestrial planets" because they have solid surfaces and, as suggested by their names, are fairly similar to Earth. However, the term can be deceptive because the conditions on each of the four worlds vary greatly. They have either no moons or few moons, are primarily composed of heavy metals like iron and nickel, and are small in size.

Outer Planets

The outer planets are much larger in size, farther distant, and mostly composed of gas.Jupiter, Saturn, Uranus, and Neptune are the outer planets that appear after an asteroid belt.The outer planets are large, gas-encased planets that are also referred to as gas giants or Jovian planets. Each has a large number of moons and each has rings. Even though they are large, only Jupiter and Saturn are visible without telescopes. Astronomers learned the solar system was larger than previously believed when Uranus and Neptune, the first planets identified since antiquity, were discovered.

On the basis of the above comparison the planets in the question are classified as-

Planet A - Outer Planet as has 67 moon, and major part of it atmophere are hydrogen and helium.

Planet B - Outer Planet as has ring but not much atmophere.

Planet C - Inner Planet as has no moon but has high volcanic activity

Planet D - Inner Planet as has high amount of carbon dioxide in it atmophere and has two moon

Planet E - Inner Planet as  has a thin layer of atmophere but no moon due to the effect of the Sun’ gravity

Planet F - Outer Planet as it has 27 moon, and it has atmophere mostly composed of hydrogen, helium, and methane

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3. below is a 4-bit up-counter. what is the largest number of the counter if the initial state q3q2q1q0

Answers

The largest number is 1111. Option A.

The initial state in a state or activity diagram. Represents the state of an object before the events contained in the diagram act on it. Transitions from initial states are usually unlabeled and represent transitions to enclosing states. A final state marks the end of the execution flow of a state machine or region.

Can have multiple incoming transitions but no outgoing transitions. Each region can have at most one final state. For orthogonal regions, execution flow stops when all region end conditions are reached. In quantum state terms, colliding particles form an initial state. In a collision, particles can be annihilated and/or exchanged resulting in a different set of particles in the final state.

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the truck suffers less damage because it is made of stronger metal. but what about the two drivers? do they experience the same forces? to answer this question, suppose that each vehicle is initially moving at 8.00 m/s and that they undergo a perfectly inelas- tic head-on collision. each driver has mass 80.0 kg. including the masses of the drivers, the total masses of the

Answers

The force experienced by the truck driver is lesser than the force experienced by a car driver in a perfectly inelastic collision.

According to law of conservation of momentum,

m1 u1 + m2 u2 = m1 v1 + m2 v2

After perfect inelastic collision,

v1 = v2

m1 u1 + m2 u2 = ( m1 + m2 ) v

u1 = 8 m / s

u2 = - 8 m / s

m1 = 3800 kg

m2 = 830 kg

Substituting the known values,

( 3800 * 8 ) - ( 830 * 8 ) = ( 3800 + 830 ) v

30400 - 6640 = 4630 v

v = 6.43 m / s

Since final velocity is positive, the vehicles will  move the direction of truck after collision.

For the truck,

a = ( 6.43 - 8 ) / 0.15

a = - 10.48 m / s²

F = 3800 * - 10.48

F = - 39.83 KN

For the car,

a = ( 6.43 - ( - 8 ) ) / 0.15

a = 96.2 m / s²

F = 830 * 96.2

F = 79.85 KN

I Ft I < I Fc I

Therefore, the force experienced by the truck driver is lesser than the force experienced by a car driver.

The given question is incomplete. The complete question is:

Most of us know intuitively that in a head-on collision between a large dump truck and a subcompact car, you are better off being in the truck than in the car. Why is this? Many people imagine that the collision force exerted on the car is much greater than that experienced by the truck. To substantiate this view, they point out that the car is crushed, whereas the truck is only dented. This idea of unequal forces, of course, is false. Newton's third law tells us that both objects experience forces of the same magnitude. The truck suffers less damage because it is made of stronger metal. But what about the two drivers? Do they experience the same forces? Suppose that each vehicle is initially moving at 6.40 m/s and that they undergo a perfectly inelastic head-on collision. Each driver has mass 81.0 kg. Including the drivers, the total vehicle masses are 830 kg for the car and 3800 kg for the truck. The collision time is 0.150 s.

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Read the question, and write your response in the space provided.
20. A force of 6.2 x 10' N is needed to blast off a 5.0 x 10³ kg rocket from rest.
What is the rocket's average acceleration?

Answers

Answer:   124m/s2

Explanation: I'm pretty sure this is correct, if it is not I'm sorry, and have a good day!

Imagine that you jump out of an airplane and wait 3.8 seconds before pulling the parachute.

a. How fast are you going when you pull the chute?

b. How far have you fallen before you pull the chute?

Answers

While pulling the speed is 37.24 m/s and distance before 70.76 m

Acceleration due to gravity

a = 9.8 m/s2

a. by the equation of motion

V = U + at

=  0 + (9.8 m/s2) ×(3.8 s)

= 37.24 m/s

b. distance fallen

S = ut + (1/2)at

= 0 + (1/2)×9.8×3.82

= 70.76 m

A parachute acts like a wing on an airplane though it acts with the same force as a human when falling. The T-11's main canopy uses a unique deployment sequence to reduce shock and canopy vibration when opening. The T-11 is designed for an average descent velocity of 19 feet per second for the 95th percentile service member, compared to 24 feet per second for the T-10C.

Even if the main parachute fails he can use his backup parachute to land. There are even tactics you can use to increase your chances of surviving a free fall to Earth if your reserves also fail. So if you have two parachutes of the same size and shape but different materials and one is heavier than the other the heavier parachute will fall faster.

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8. assume pulleys and ropes are massless and frictionless. the surface with the 80 kg block has a coefficient of kinetic friction

Answers

The coefficient of kinetic friction ∝=9.81

Given that mass of block is 80kg .

Pulleys and ropes are massless and frictionless.

Coefficient of kinetic friction ∝ means the ratio of kinetic friction force of contacting surfaces to normal force .

Being a ratio parameter its unitless parameter.

[tex]F= mg\\\\F=\alpha N[/tex]

from these equations

[tex]mg=\alpha N[/tex]

Since there is no involvement of tension, g=∝

∝=9.81

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HELP PLEASE!!! Match the correct term with the corresponding definition or description.

Answers

The image below provides the solution. To read the text, enlarge the jpeg.

Choose the picture of how the Earth would move if you "turned off the gravity forces

Answers

Answer:

I think the answer is d; as the object is revolving around the earth in a circular motion due to centripetal force provided by gravity and if you "turned off" the gravity then it would tend to continue away from the planet but in the same direction.


A rock climber carries his 15,000 g backpack to the top of the cliff.
What is the MASS, in kg, of the backpack?

Answers

Main answer-  the mass of the backpack is 1.53kgs

Supporting answer- The mass of the body is the quantity of matter contained in it .

weight of a body is defined the amount of mass or heaviness of the body

Weight = mass x acceleration due to gravity

Body of the answer- Given ,

weight of backpack = 15000g = 15kgs

mass =             weight of the body

                    acceleration due to gravity

mass of the bag =     15 kgs

                                      9.8

                       = 1.53 kgs

Final answer- hence mass of the backpack is 1.53kgs

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How does the angle at which a ray of light strikes a pane of window glass compare with the angle at which it passes out the other side?.

Answers

The angle at which a ray of light leaves the other side of a window pane is the same as the angle at which it strikes the glass.

What is refraction of light?

Refraction is the change in direction of a wave when it passes from one medium to another or from a gradual to a sudden change in the medium.

When a wave of light passes from one medium to another, its direction is changed. This phenomenon is called refraction. It occurs because the speed of light is different in different media.

The amount of refraction that occurs depends on the difference in the speed of light in the two media, and the angle at which the light wave is incident on the boundary between the two media. The greater the difference in the speed of light, the greater the amount of refraction. The angle of incidence also affects the amount of refraction; the greater the angle, the greater the refraction.

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Explain the difference between music and noise.

Answers

Music is a sound which produces a pleasing sensation while noise is an unwanted and unpleasant sound. Music is produced by musical instruments like piano, guitar, flute, etc. Noise is produced by horns of vehicles, crackers, machines, etc.

In lab we applied the conservation of energy to a system to allow us to equate the initial energy to the final energy. How does the initial energy become stored in the system?.

Answers

The initial energy becomes stored in the system by the tension in the string.

What is energy in physic?

Energy is the capacity to do work. Energy cаn exists in mаny different forms. Аll forms of energy аre either kinetic or potentiаl. The energy аssociаted with motion is cаlled kinetic energy. The energy аssociаted with position is cаlled potentiаl energy. Potentiаl energy is not "stored energy". Energy cаn be stored in motion just аs well аs it cаn be stored in position.

А tension force is а force developed in а rope, string, or cаble when stretched under аn аpplied force. It is the force generаted when а loаd is аpplied аt the ends of аn object, normаlly to the cross-section of it. It cаn аlso be cаlled the pulling force, stress, or tension. This type of force is only exerted when there is contаct between а cаble аnd аn object. Tension аlso аllows force to be trаnsferred аcross relаtively lаrge distаnces.

Your question is incomplete, but most probably your full options were

a. The energy is supplied by the tension in the string.

b. The energy is part of the mass.

c. The force of Gravity does work on the mass when it is displaced some height when the pendulum is displaced by some angle theta.

d. I did work on the mass by dispacing it some height when I displaced the pendulum by some angle theta.

Thus, the correct option is A.

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a paper airplane gliding down towards the ground will experience the force of air resistance pushing up. the weight of the paper airplane is 16 N down and the force of air resistance is 9 N up. find the net force

Answers

The net force acting on the airplane is 25N.

Forces acting on the paper airplane when it is in the air:

The forward force generated by the engine, propeller, or rotor is called thrust. It resists or defeats the drag force. It operates generally perpendicular to the longitudinal axis. However, as will be discussed later, this is not always the case.Drag is an airflow disruption generated by the wing, rotor, fuselage, and other projecting surfaces that causes a backward, decelerating force. Drag acts backward and perpendicular to the relative wind, opposing thrust.Weight is the total load carried by airplane, including the weight of the crew, fuel, and any cargo or baggage. Due to the influence of gravity, weight pulls the airplane downward.Lift—acts perpendicular to the flight path through the center of lift and opposes the weight's downward force. It is produced by the air's dynamic influence on the airfoil.

Given.

Weight of the paper airplane, F1 = 16N

The force of air resistance, F2 = 9N

Net force = F1 + F2

Net force = 25N

Thus, the net force acting on the airplane is 25N.

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which answer best describes the second law of thermodynamics as it is used in engineering thermodynamics?

Answers

A control volume's time rate of entropy change is equal to the rate of entropy generated inside the control volume plus the rate of entropy entering or leaving the control volume through mass transfer.

A state of disorder, randomness, or uncertainty is most frequently associated with the scientific concept of entropy, which is also a quantifiable physical property. In other words, entropy is the increase in disorganization within a system. It is defined as the measurement of degree of randomness. A physical principle based on observed interactions between heat and energy, the second law of thermodynamics is applicable to all situations. A straightforward explanation of the law is that, without an energy source to change the direction of heat flow, heat always travels from hotter to cooler objects. The overall entropy of a system never decreases; according to the second law of thermodynamics, it always either rises or stays the same.

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The fastest recorded pitch in Major League Baseball, thrown by Aroldis Chapman in 2010, was clocked at 169.14 km/h (105.1 mi/h). If a pitch were thrown horizontally with this velocity, what would the ball's vertical displacement be by the time it reached home plate, 18.3 m (60.0 ft) away?

Answers

Answer:

The ball would fall vertically for 112.45m

Explanation:

The vertical height of a horizontal throw is affected only by the speed of the throw and the acceleration due to gravity.

At this point, we may use this formula to determine the vertical height of the throw

vertical height =

The initial throwing speed has to be converted to m/s to ensure uniformity during the calculations. To do this we multiply by 1000 and divide by 3600

169.1km/hr = 46.972m/s

Maximum height =  m

The pitch would make the ball fall vertically for 112.45m by the time it reached the home plate 18.2 m away

Answer:

The ball's vertical displacement 5.7 cm

Explanation:

Given:

V₀ = 169.14 m

D = 18.3 m

g = 9,81 m/s²

____________

Δh - ?

Ball flight time:

t = D / V₀ = 18.3 / 169.14 ≈ 0.108 s

The ball's vertical displacement:

Δh = g·t² / 2

Δh = 9.81·0.108² / 2 ≈ 0,057 m    or  5.7 cm

why is ""friction"" (also called viscosity when it pertains to a gas) crucial for accretion disks?

Answers

Because Friction between gas orbiting at different speeds transfers angular momentum, also generating heat.

Friction is nothing but the opposing force acting on the device. In this case when accretion disks moves, it transfers angular momentum and and due to friction it also generates heat.

And as we know from conservations of energy that whatever heat is generated and angular momentum gets transferred, both will act as a negative parameter for a accretion disks.

That is the reason it is vey important to know and take care of the friction during designing or using of accretion disks.

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A metal sphere with a mass of 0.020 kg rolls along a friction-less surface at 3.2 m/s and strikes a stationary sphere having a mass of 0.041 kg. The first sphere stops completely. The spheres are in contact for 0.005 s before the second sphere is shot off down the track. What is the force applied to the second ball?

Answers

Answer:

Kinetic energy

Explanation:

Kinetic = movement or something

the ball moved, sounds like kinetic.

The larger the frequency of a photon of light, the _______ the energy of the photon.

Answers

The larger the frequency of a photon of light, the increase the energy of the photon.

As frequency increases, the energy of emitted photons will increase. The opposite is also actual. as the frequency of radiation decreases, there may be a corresponding lower in the power of emitted photons.

The higher the frequency, the more energy the photon has. Of path, a beam of mild has many photons. This means that absolutely intense purple light can bring more electricity to a given area than less severe blue light.

The quantity of energy is directly proportional to the photon's electromagnetic frequency and consequently, equivalently, is inversely proportional to the wavelength. The better the photon's frequency, the better its energy. Equivalently, the longer the photon's wavelength, the decrease its power.

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the impulse one ball receives is equal to the blank force on it from the other ball multiplied by the time during which the force is applied. by newton's third law the force that the rubber ball exerts on the steel ball is blank the force t

Answers

The impulse one ball receives is equal to average force on it from the other ball multiplied by the time during which the force is applied

The impulse one ball receives is equal to average force on it from the other ball multiplied by the time during which the force is applied. By newton's third law the force that the rubber ball exerts on the steel ball is equal to the force that steel ball exerts on rubber ball. So the rubber ball receives the same amount of impulse , although the directions of impulse are opposite.

Jx = Fx Δt

Jx = Impulse acting on x

Fx = Average force acting on x ( Answer 1 )

Δt = Period of time

Jrubber = Frubber * Δt

Jsteel = Fsteel * Δt

According to Newton's third law,

Frubber = - F steel ( Answer 2 )

Jrubber = - Fsteel * Δt

Jrubber = - Jsteel ( Answer 3 and 4 )

Therefore, the answers are,

AverageEqual toThe sameOpposite

The given question is incomplete. The complete question is:

Suppose a rubber ball collides head-on with a more massive steel ball traveling in the opposite direction with equal speed. Which ball, if either, receives the larger impulse?

The impulse one ball receives is equal to the ___ force on it from the other ball multiplied by the time during which the force is applied. By Newton's third law the force that the rubber ball exerts on the steel ball is ___ the force the steel ball exerts on the rubber ball So the rubber ball receives ___ amount of impulse, although the directions of the impulses are ___

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Drag each description into the type of weathering that ur describes

Answers

Note: Can you please add a screenshot? So I can help you out.

a movie camera with a single lens (has a converging lens) of focal length 75 mm takes a picture of a 180 cm high person standing 2.7 m away. what is the position of the image of the person? (write the value in cm and use only one decimal place).

Answers

The position of the image of the person is 0.5 cm.

What is meant by focal length?

An optical system's focal length is the inverse of its optical power; it indicates how strongly the system converges or diverges light. A positive focal length system converges light, while a negative focal length system diverges light.

The rays are bent more sharply in a system with a shorter focal length, bringing them closer to focus or diverging them faster. For the special case of a thin lens in air, a positive focal length is the distance over which initially collimated (parallel) rays are brought to a focus.

Given,

Focal length=75mm

Height of the person=2.7m

f=((1/f)-(1/p))⁻¹

f=fp/p-f

Thus, the height of the image is

[tex]h_{i}[/tex]=m[tex]h_{p}[/tex]

[tex]h_{i}[/tex]=(i/p)[tex]h_{p}[/tex]

[tex]h_{i}[/tex]=f[tex]h_{p}[/tex]/p-f

[tex]h_{i}[/tex]=(75mm)(1.80m)/(27m-0.075m)

[tex]h_{i}[/tex]=5mm

[tex]h_{i}[/tex]=0.5 cm

The position of the image of the person is 0.5 cm

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A boat with a mass of 1000 kg drifts with the current down a straight section of river parallel to the +x axis with a speed of 2.0 m/s. At t 0 the boat engages its engines, and accelerates at 2.7 m/s7. If the boat is oriented with its nose 45 from the +x axis, which of the following is a possible value for the boat's momentum at t- 3.0 s after the engine had started?

Answers

8100 kgm/s is a possible value for the boat's momentum at t- 3.0 s after the engine had started

m=1000kg

a=2.7 m/s^2

t=3

I=F/t

I=2700/2

I=900

F×t=P

P = momentum

t=time

f= force

F×t=P

P=2700×3

P=8100 kgm/s

Momentum is the result of a particle's mass and velocity combined. A vector quantity with both magnitude and direction is momentum. A particle's force is equal to its rate of change in momentum over time, which is stated in Isaac Newton's second equation of motion.

Any grouping of particles has a momentum equal to the vector sum of its momenta. The third law of Newton asserts that forces between particles are equal and opposite, and that any change in one particle's momentum is totally counterbalanced by a similar change in another particle's momentum.

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Sarah is building an electric motor whilst listening to the radio. She notices
that when she switches the motor on, the radio makes clicking noises. Using
knowledge about how radio waves are produced, describe why the radio
makes clicking noises.
Type your answer here....

Answers

The reason for the sound is the fact that there are other channels that are interfering with the particular channel that she was looking for.

Why does the radio make clicking noises?

We know that radio waves are part of the electromagnetic waves. These are waves that do not require any material medium for them to become propagated thus they are able to move from one place to another even in a vacuum. Radio waves are known to have a long wavelength thus they can travel a far distance.

Given what we have said, we know that a radio is a device that have been built so as to be able to receive the radio waves. However, there are a number of frequencies that we are looking at that could be received by the radio at the same time. This could be referred to by the use of the word co channel interference.

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a car with a mass of 1000-liogram accerlerates from rest, and travels a distanceof 48 meters druing its first 4.0 seconds of uniform acceleration. what is its velocity at this points?

Answers

24 m/s will be the velocity at this point .

What is velocity?

Velocity is the directional velocity of a moving object, observed from a given frame of reference and indicating the rate of change of position measured at a given time reference (eg 60 km/h northward). Velocity is a fundamental concept in kinematics, a branch of classical mechanics that describes the motion of bodies.

Velocity is a physical vector quantity. The scalar absolute value (magnitude) of velocity is called velocity, and its magnitude is a consistent derived unit measured in the SI (metric) system as meters per second (m/s or m⋅s−1).  For example, "5 meters/second" is a scalar, but "5 meters/second east" is a vector. An object is said to be accelerating if its velocity, direction, or both change.

when v= u + at and v2-u2=2as , where u=0 ,t=4 , S = 48 m , manipulate the data and fine the answer.

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a 4-kg mass of gas expands adiabatically and does 20 j of work. what is the change in the gas's internal energy?

Answers

There is a change of  -20 J in the gas's internal energy.

Adiabatic expansion is the method of volume expansion in which no heat is exchanged inside the system from the surrounding, or the heat exchange is zero. During extension, the exchange of energy takes put as work.Since we given with  4-kg mass of gas expands adiabatically and does 20 j of work.

According to the first law of thermodynamics

ΔQ = ΔU + W

where Q is the heat supply or received, U is the internal energy and W is the work done

since in case  adiabatic  process , ΔQ = 0

so,  ΔU = -ΔW

wince a work done is done by the system, so the work done =  +20 J

ΔU =  -(+20) = -20 J

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