Obtain an expression for fringe width with diagram. ​

The speed of the  each of the car moving in the same direction with a relative velocity of 50 m/s is 30 m/s and 20 m/s respectively.

The relative velocity is defined as the velocity of an object with respect to another observer.

For both cars moving in the opposite direction,

Where:

From the question,

Given:

Substitute into equation 1

Also, for both cars traveling in the same direction

Given:

Substitute into equation 3

Solve equation 2 and 4 simultaneously,

Adding equation 2 and equation 4

Substituting the value of Va into equation 1

Hence, the speed of each car is 30 m/s and 20 m/s respectively.

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An astronomer states that star p has a lower absolute brightness than star q. Option B. b star q gives off more light than star p.

According to astronomers Stars have a wide variety of obvious brightness measured right here on this planet. The version of their brightness is resulting from both versions of their luminosity and versions of their distance.

The plain brightness of a star is proportional to one divided by means of its distance squared. that is, if you took a star and moved it twice as some distance away, it might appear 1/4 as bright; in case you moved it four times the distance, it'd appear 1/sixteen as brilliant.

Apparent value is the brightness of a celeb because it seems to the observer. this is what stargazers look at after they take a look at the sky and notice that a few stars are brighter than others. Absolute significance is the brightness of a star from a distance of 10 parsecs away

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The focal length of the lens is 100 cm.

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The radius of the circle is equal to 20m if the centripetal acceleration is 5m/s².

The centripetal force is perpendicular to the velocity in a circular motion. If the particles change their speeds in a circular motion then acceleration is produced and the acceleration from directing toward the center.

The mathematical Formula for the centripetal acceleration used:

a = v²/r

Where 'r' is the radius of the circle and a is the centripetal acceleration.

Given, the velocity of the ride, v = 10 m/s

The centripetal acceleration, a = 5 m/s²

The radius of the circle in which the ride is going on is :

r = v²/a

r = (10)²/5

r = 20 m

Therefore, the radius of the circle is equal to 20m.

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The three types of energy transfer occurs in the oven as the soup is cooked is mentioned above.

There are three types of thermal energy transfer. They are:

Conduction is the heat transfer through physical touch. Convection is the heat transfer between fluid objects. Radiation is the transfer of heat energy by means of waves.

When the soup is cooked in the oven,

Therefore, the three types of energy transfer occurs in the oven as the soup is cooked is mentioned above.

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Because it spirals inward, it slowly decreases its orbital radius. So so long as a satellite acts in a round orbit, it's velocity is inversely proportionate.

A satellite or synthetic satellite tv for pc is an object deliberately positioned into orbit in outer area. besides for passive satellites, most satellites have an energy technology system for device on board, including solar panels or radioisotope thermoelectric generators.

A satellite is a moon, planet or machine that orbits a planet or star. for example, Earth is a satellite because it orbits the sun. Likewise, the moon is a satellite tv for pc as it orbits Earth. commonly, the word satellite refers to a device this is released into space and movements around Earth or another frame in area.

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Acceleration due to gravity states that when an object falls freely towards the surface of earth from a certain height, then there is a change in velocity which produces acceleration in the object which is known as acceleration due to gravity denoted by g.

The value of acceleration due to gravity is. g=9. 8m/s2.

How do you measure Acceleration due to gravity on planet X?

Here we have a pendulum so using ruler we can measure the length = L and using pendulum's SHM trials count by stopwatch we can get time period " T " as whole we have here two quantities like L and T

Substituting in equation " 1 " we can find the gravity of the planet " X ".

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The current in the circuit is 0.5 A

what is current?

An electrical charge carrier flow known as current often involves electrons or atoms lacking in electrons. The capital letter I is a typical way to represent current.

I = V/R

I = 9/18

I = 0.5 A

Therefore, the current in the circuit is 0.5

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The circuit's current is 0.5 A.

What is current?

An electric current is a flow of charged particles, such as electrons or ions, across a conductor or space. It is calculated as the net rate of charge flow through a surface or into a control volume. Charge carriers are moving particles that can be one of numerous sorts depending on the conductor. Electrons flowing over a wire are frequently used as charge carriers in electric circuits. They can be either electrons or holes in semiconductors. Ions are the charge carriers in an electrolyte, whereas ions and electrons are the charge carriers in plasma, an ionised gas.

I = V/R

I = 9/18

I = 0.5 A

Therefore, the current in the circuit is 0.5

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It will take the 1.0 kg mass to fall 1.0 m is about 3.83seconds.

The push or pull on a massed object alters its velocity, which is the definition of force. An agent with the ability to change a body's resting or moving state is known as an external force. It has a magnitude and a direction.

Finding the force the rope in this situation applied to the 3 kg weight should be our first step.

Weight of 4kg mass = 4×9.8 = 39.2

Weight of 1kg mass = 1×9.8 = 9.8

The force acting upward on the 4kg mass will equal the weight of the 1kg mass. Thus the resultant force acting on the 4kg mass is:

Total force = 39.2 - 9.8 = 29.4 N (upwards)

Now find the acceleration:

F = m×a

29.4= 1×a

a = 29.4m/s²

We now apply the motion equation shown below to determine how long it takes to move one meter:

s = u × t + 1/2(a × t²)

1 = 0 × t +1/2(29.4 × t²)

t = 3.83seconds.

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The distance covered by Usain Bolt in meters is  1200 meter.

Speed is defined as the distance travelled or covered in a particular time period. Speed is a scalar quantity as it does not specify the direction of motion, whereas velocity is the vector counterpart of speed as velocity specifies the direction of motion of the object or body or anything concerned with the motion.

Speed is given by the equation,

speed= distance traveled/time taken --- equation(1)

so we can calculate distance from equation(1) as ,

distance traveled= speed × time taken --- equation(2)

here,

speed is given as 12 m/s and time taken is given as 100 seconds

Therefore from equation(2)

distance traveled = 12m/s×100s=1200m

that is , the distance covered by Usain Bolt is 1200 meters.

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Additionally, the conversion of glucose results in the creation of other chemical components that support the growth and reproduction of the plant.

A polysaccharide or complicated carbohydrate with at least 3,000 glucose molecules per gram, cellulose. The most prevalent of all naturally occurring organic substances, cellulose is the basic structural element of plant cell walls and compensates around 33% of all vegetable matter.

Despite not being able to be digested by humans, cellulose is a food supply for grazing animals because they can keep this in their digestive tracts long enough even for protozoans, which are found in the guts of insects like termite, to digest it.

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The two key pieces of evidence that support the Big Bang theory are the cosmic background radiation and the observed helium content of the universe.

What is the Big Bang?

The big bang explains the way the universe began. It states that the universe began as just a single point, then expanded and stretched to grow as large as it is right now. The term “Big Bang” was coined by the British astronomer Fred Hoyle in 1949.  Around 13.7 billion years ago, everything  condensed in an infinitesimally small singularity, a point of infinite denseness and heat.  Cosmic microwave background is the  electromagnetic radiation which  fills the universe that is a residual effect of the big bang 13.8 billion years ago.

The presence of hydrogen and helium helps scientists to universal expansion rate.

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Because friction always opposes motion, according to Newton's second law of motion, F f 804 N.

Vehicle operation on a surface- When a truck is being driven, the engine exerts a force on the wheel that propels the vehicle forward. The vehicle can't move ahead because of the friction between both the wheels as well as the ground. Consequently, the car keeps from skidding.

The resistance between the surfaces can be decreased by using lubricants like oil or grease. Friction can be decreased by polishing its surface, which makes it smooth.

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Answer:

If you wrap your right hand around the wire with your thumb in the direction of the conventional current (+ to -), your fingers will point in the direction of the magnetic field.

Note - The conventional current goes from a battery's plus terminal to its negative terminal in the external circuit. (the actual direction of the electrons travel from - to + in the external circuit)

Since the net force acts towards the right, the object would move towards the right and the acceleration would also be towards the right.

The term net force has to do with the actual force that acts on a body. We know that a force is a vector quantity and that a system of forces could act on an object.

When more than one force is acting on an object, it then follows that the object would remain at rest or in a state of uniform motion if the forces are balanced.

If the forces are not balanced, the object would move in the direction of the net force that acts on the body.

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The force exerted by a magnetic field on a moving charge is called the Lorentz force. It is directed perpendicular to both the velocity of the charge and the magnetic field.

The magnitude of the force is given by the equation:

F = qvB

Where:

F is the magnitude of the force (N)

q is the charge of the particle (C)

v is the velocity of the particle (m/s)

B is the strength of the magnetic field (T)

The force acts to deflect the charge from its path. The amount of deflection depends on the strength of the magnetic field and the velocity of the charge. If the magnetic field is strong, the charge will be deflected more. If the velocity is high, the charge will be deflected more.

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The acceleration of the car at 3.5 seconds is determined as 10 m/s².

option (D) is the correct answer.

The acceleration of the car is the change in velocity of the car with time.

Mathematically, acceleration is given as;

a = Δv/Δt

where;

a = (v - u) / (t₂ - t₁)

where;

a = (15 - 5) / (1.5 - 0.5)

a = 10 m/s²

The acceleration of the car at 3.5 seconds can be calculated by applying extrapolation method as shown below;

a = (v - u) / (t₂ - t₁)

where;

a = (35 - 15) / (3.5 - 1.5)

a = (20) / (2)

a = 10 m/s²

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The work done by the man during these 2 minutes is zero.

A force must be applied in order to produce work, and there must also be motion or displacement in the force's direction. The amount of work performed by a force acting on an item is equal to the force's magnitude times the distance travelled in the force's direction. Work has only magnitude and no direction. As a result, work is a scalar quantity.

According to the question, a man holds a 1.00-kg box above his head for 2 minutes. No displacement happens in this two minutes. So, no work is done by the man.

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The astronomer on duty going to have a bit of a problem satisfying your astronomy reading friend's request because it becomes too cold and dark to emit visible light.

Long after a star turns into a white dwarf, it will become too cold due to no fusion of atoms happening in its core to provide any energy. The light emitted initially is due to the hotness before the fusion has stopped to take place.

The hotness eventually cools off due to surrounding temperature. As the temperature reduces the light emitted will also decrease. After it fully becomes cold it will stop emitting light and so it cannot be seen.

Therefore, the astronomer on duty going to have a bit of a problem satisfying your astronomy reading friend's request because it becomes too cold and dark to emit visible light.

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Use the equation v = v0 + gt = 0 + 9.80665 * 8 to find the final free fall speed (right before impact with the ground), which is 78.45 m/s.

To determine the velocity at impact, multiply the time by the acceleration caused by gravity. If the object hits the ground after 9.9 seconds, its velocity is

=(1.01 s)*(9.8 m/s2),

=9.9 m/s.

Initial velocity plus two times the acceleration times the distance equals final velocity. V is the speed right before collision. Initial velocity, or u, is 0 mph.

Gravity's acceleration, a, is 9.81 m/s/s.

Therefore, from the moment the projectile is thrown, through its highest point, and until just before it hits the ground, its acceleration is equal to the acceleration caused by gravity, or 9.81 meters per second per second.

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Answer:

Average acceleration of the car = 3 m/s²

Explanation:

According to the question,

Initial velocity of the car ([tex] \rm v_i [/tex]) = 20 m/s

Final velocity of the car ([tex] \rm v_f [/tex]) = 35 m/s

Time interval of uniform acceleration (t) = 5 s

By using [tex] 1^{st} [/tex] kinematic equation and substituting value we get:

[tex] \rm \implies v_f = v_i + at \\ \\ \rm \implies at = v_f - v_i \\ \\ \rm \implies a = \dfrac{v_f - v_i }{t} \\ \\ \rm \implies a = \dfrac{35 - 20 }{5} \\ \\ \rm \implies a = \frac{15}{5} \\ \\ \rm \implies a = 3 \: m {s}^{ - 2} [/tex]

[tex] \therefore [/tex]

Average acceleration of the car is 3 m/s²

Applying the conservation of momentum law we find the final velocity of

                        a) the car = 0.37 m/s in the opposite direction.

                        b) the van = 1.39 m/s

Define elastic collision between particles?

The given informations in the question are-

Mass of van = mv = 1140 kg

Mass of car = mc = 745 kg

Initial velocity of car = v1_i =  2.25 m/s

Applying conservation of momentum, the final velocity of the car is found out using the formula,

v1_f = (mc - mv) x v1_i / (mc + mv)

Putting the values we get,

v1_f = (745 - 1140) x 1.77 / (745 + 1140)

       = - 395 x 1.77 / 1885

       = - 0.37  m/s

The negative sign indicates that after collision it is moving in the opposite direction to its initial speed.

The final velocity of the van, is found out using the formula,

v2_f = 2 x mc x v1_i / (mv +mc)

Putting the values we get,

v2_f  = 2 x 745 x 1.77 / (745 + 1140)

        =  1.39 m/s

Hence, the final velocity of

                        a) the car = 0.37 m/s in the opposite direction.

                         b) the van = 1.39 m/s

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When a spring with an initial compression of 5.0 cm is compressed by 0.15, a total compressed of 20 cm is achieved. as it is compressed another 15 cm, the work is completed. spring constant 8.0 n/m

The spring constant can be calculated using the spring constant. Springs that are more rigid are more likely to be challenging to stretch. Elastic substances make up springs. spring constant deforms when external forces are applied, but it returns to its original position once the force is removed. A linear elastic deformation has occurred with the spring. The relationship curve between force and displacement is linear.

A type of compressed spring that generates linear force is the spring.

Work completed, w = 0.5 k x - 0.5 ky

W= 1/2K (x^2 - y^2 )

W = 1/2 ( 8 ) / (20 * 10^ -2 ) ^2 - ( 5* 10 ^-2 ) ^2 J

W = 0.15 J

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33 m, due west, is the worker's displacement from his truck.

The state of being displaced: the action or process of displacing. a storm that forced thousands of people to evacuate. Physics: the volume and weight of a fluid, such as water, that is moved by a floating object, such as a ship, of equivalent weight (see move sense 2a).

Replace, supersede, & supplant are some typical synonyms for the word "displace." Displace indicates an ousting and dislodging even if all of these terms imply "to put out of a customary or proper place and into the position of another." Thousands had been displaced by war.

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The terminal speed of the marble is 0.588 m/s.

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The density of the object will be 60 kg/m³.

Density of any object is a derived quantity as it is obtained from mass and volume. But, it is not a derived unit. So, it is not a derived unit of measure.

Density of a substance is a physical intensive property. It can not be considered as an chemical property. We can measure the density of a  substance without changing of its chemical composition or identities.

Density of a substance gives the idea whether the substance will sink or float. If the density of a substance is more as compared to the liquid, then it will sink. Otherwise it will float.

Density of an object is given by mass/volume.

Here,

mass = 30 kg

Volume = 0.5 m³

Density = 30/0.5 = 60 kg/m³

Therefore the density of an object having mass of 30 kg and volume of 0.5 m³ is given as 60 kg/m³.

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The maximum braking force that can be applied to the car having a mass of 500kg is 8820 N

F= μN ( μ= Coefficient of static friction and N= max normal reaction of the car)

= 1.8 X 500g= 1.8 X 500 X 9.8= 8820 N

Alternatively known as brake power, the braking force describes the total amount of force applied to a moving body that causes it to slow down or come to a stop. Breaking force is the minimum force, expressed in pounds, at which a chain, wire cable, webbing strap, or end device breaks when a continuously increasing force is applied to it. For this force to be calculated correctly, the vehicle's body must be moving at a known, constant speed. If the car's wheels are still turning while it is braking, static friction is at work; however, if the wheels are locked and sliding over the road, kinetic friction is at work. The breaking stress or ultimate tensile stress is the highest amount of stress a material can withstand before breaking.

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