A 1{,}000 \text{ kg}1,000 kg1, comma, 000, start text, space, k, g, end text car experiences a net force of 3{,}500 \text{ N}3,500 N3, comma, 500, start text, space, N, end text from its engine.
Calculate the magnitude of the car’s acceleration.

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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To generate a larger emf with the bar magnet one should move the magnet faster through the coil and add more turns to the coil.

An energy transfer to an electric circuit per unit of electric charge, expressed in volts, is known as electromotive force in electromagnetism and electronics. Electrical transducers are devices that create an emf by transforming non-electrical energy into electrical energy.

A rectangular section of an object with permanent magnetic qualities that is formed of ferromagnetic material is known as a bar magnet.

A shift in magnetic flux is an induced EMF's most fundamental cause. Placing a coil that is constantly moving and conducting current in a magnetic field that is static and stable. EMF will be produced as a result of the area vector changing as a result of this.

You should have observed that the voltage peaked in one direction for moving the magnet in hand peaked in the other direction for moving the magnet out this is because according to Faraday's Law, a voltage is produced in a coil of wire when a magnet is moved inside of it, altering the magnetic field and magnetic flux through the coil. The galvanometer deflects to the left in the example below as the magnet is moved inside the coil in response to the growing field.

Hence, To generate a larger emf with the bar magnet one should move the magnet faster through the coil and add more turns to the coil.

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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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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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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)

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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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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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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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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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 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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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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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

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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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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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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Answer:

Explanation:

The answer to the question related to the time for two balls to reach the ground is option C, the two balls will reach the ground at the same time because the horizontal and vertical planes of motion are independent of each other, and they are also released from the same height.  

When a ball is dropped, knowing the height we could find the time with the following equation:

(1)

Where:

: is the final height

: is the initial height

: is the initial speed of the ball in the vertical direction = 0 (it is dropped)

g: is the acceleration due to gravity

When the ball is launched horizontally from the same height, we could find the time with equation (1) since the acceleration in the horizontal direction is zero and the initial velocity in the vertical direction is also zero.

The horizontal motion is related to the equation:

  (2)

We can notice in both cases that the ball is accelerated only by gravity.

Let's evaluate each statement

A) This statement is incorrect because the path is the same for both cases. The ball is dropped and launched from the same height.

B) This statement is also incorrect. The velocity of the dropped ball is the same as the velocity of the launched ball because the ball is accelerated only by gravity.

C) This statement is correct. We can see that we would get the same time in equation (1) since , , and  is the same for the dropped ball and the launched ball.  

D) This statement is incorrect. The nature of motion is related to a freefall motion in both cases.  

Therefore, the answer is option C.

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 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 combined mass of the cessna plane and the passangers, with a potential energy of 800 J is 0.041 kg.

Mass can be defined as the quantity of matter a body contains.

To calculate the combined mass of the cessna plane and passangers, we use the formula below

Formula:

Where:

Make M the subject of the equation

From the question,

Given:

Substitute these values into equation 2

Hence, the combined mass of the cessna plane and the passangers is 0.041 kg.

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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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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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The focal length of the lens is 100 cm.

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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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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 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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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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