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The magnitude of the sum A + B + C is 5

The term "vector" is used colloquially to describe constituents of particular vector spaces or some quantities that cannot be described by a single integer.

How to solve for the quantity

A = 15J + 20J

B= -20J

C= -10J

S= A + B + C = 15J + 20J -20J -10J

S = 5J

Therefore, S= 5

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The expression of time dilation is: Δt' = Δt/√(1 -(v/c)²)

Think of two precise clocks that are identical, one stationary and the other travelling nearly at the speed of light. The moving clock measures a shorter amount of time than the stationary clock because of the effects of special relativity.

The time of the moving clock is said to be the "right time" if the observer is moving in the same frame of reference as the clock. The time, however, that a stationary observer records during the same time interval is extended or "dilated."

The expression of time dilation is:

Δt' = Δt/√(1 -(v/c)²)

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A.  Light travels approximately 670,616,320 miles in an hour.

B.  Light travels approximately 16,094,718,080 miles in a day.

Light travels at a speed of 186,282 miles per second. To find out how far it travels in an hour, we can simply multiply this speed by the number of seconds in an hour:

Distance traveled in an hour = 186,282 miles/second x 3,600 seconds/hour = 670,616,320 miles/hour

Therefore, light travels approximately 670,616,320 miles in an hour.

To find out how far light travels in a day, we need to multiply the distance traveled in an hour by the number of hours in a day:

Distance traveled in a day = 670,616,320 miles/hour x 24 hours/day = 16,094,718,080 miles/day

Therefore, light travels approximately 16,094,718,080 miles in a day.

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It should be noted that to minimize the transfer of heat to the roof, the recommendation of design would be : A. Choose the 2-cm-thick plastic because it will take longer to get warm on hot and sunny days.

The 2-cm-thick material is advised if you want to reduce heat transfer to the roof on hot, bright days.

The reason is because they are better insulators and take longer to warm up, thicker materials offer higher thermal resistance. In this situation, the 2-cm-thick plastic would take longer to warm up on hot, sunny days, lowering the amount of heat that is transferred to the roof and assisting in keeping it cooler.

The correct option is A.

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When the ground is pulled away, the charge that the two objects have is that Object A is now negatively charged and Object B is still positively charged.

After touching object A to the ground, object A will have zero charges as it is an insulator and the ground is neutral, so no charges will flow.

Object B still has a positive charge as it is a conductor, and since object A is not connected to it anymore, there will be no transfer of charges between them.

Recall that an insulator is any property that does NOT allow electric charges to pass through them.

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Answer:

Explanation:

fbfgdgtfg

The greenhouse effect is the mechanism by which radiation from a planet's atmosphere warms the planet's surface to a certain temperature.

When heat from a planet's host star passes through its atmosphere and warms the planet's surface, the process is known as the greenhouse effect. The way that "greenhouse gases" trap heat near to the Earth's surface is known as the greenhouse effect. You may think of these heat-trapping gases as a blanket keeping the Earth warmer than it otherwise would be.

When Earth's atmosphere's gases capture the heat from the Sun, the process is known as the greenhouse effect. Earth becomes significantly warmer as a result of this process than it would be otherwise.

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(1) The instantaneous velocities are 4.2 km/h south and 4.1 km/h west

(2) The average velocity of Joe is 5.9 km/h southwest.

The instantaneous velocities are the velocities of Joe at any given time period and it is calculated as follows;

v (1 ) = 4.2 km/h south

v ( 2 ) = 4.1 km/h west

The average velocity of Joe is calculated from the ratio of the total displacement to total time of motion.

v (avg) = ( total displacement ) / ( total time of motion )

v (avg) = 5.9 km/h southwest

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Rubber is not conducting and is called an insulator. Insulators provide resistance to the flow of electrons. Aluminum foil can be used to the copper wire to light up the bulb.

Based on the conductivity, there are three types of materials namely, conductor, semiconductors and insulators. Conductors are able to allow the flow of free electron through them thus conduct electricity at room temperature.

Semiconductors only conduct at high temperature and insulators does not conduct at any temperature. Rubber is an  insulator and thus used as protecting gloves for hands to prevent electric shock.

Salt crystals in the solid state are not conducting. But the salt solution is conducting due to the presence of ions.

The material which can be used connected to copper wire and a battery to light up a bulb is aluminum foil. Metals are good conductors because, its valence electrons flow freely through the material.

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Rubber, which is not conducting, is referred to be an insulator. Providing barrier to the movement of electrons is an insulator. Copper wire can be wrapped in aluminum foil to light the bulb.

Three different categories of materials—conductors, semiconductors, and insulators—are categorized according to their conductivity. At normal temperature, conductors can flow free electrons through them and conduct electricity.

Insulators do not conduct at any temperature, while semiconductors only do so at high temperatures. Rubber acts as an insulator, making it ideal for use as hand protection against electric shock.

In the solid state, salt crystals are not conductors. But because ions are present, the salt solution conducts.

Therefore, Rubber, which is not conducting, is referred to be an insulator. Providing barrier to the movement of electrons is an insulator. Copper wire can be wrapped in aluminum foil to light the bulb.

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Answer:

Attractive, repellent, electric fields so D

Explanation:

Attractive, repellent, electric fields.

The physical field that surrounds electrically charged particles and exerts force on all other charged particles in the field, either attracting or repelling them, is known as an electric field (sometimes referred to as an E-field).

It can also refer to a system of charged particles' physical field. Electric charges and time-varying electric currents are the building blocks of electric fields.

Electrical technology makes use of electric fields, which are significant in many branches of physics. For instance, in atomic physics and chemistry, the electric field acts as an attracting force to hold atoms' atomic nuclei and electrons together.

Therefore, Attractive, repellent, electric fields.

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Answer:

Explanation:

To determine the velocity of the 35.0 kg car before the collision, we can use the principle of conservation of momentum. The total momentum of the system before the collision is equal to the total momentum after the collision.

Momentum before collision = Momentum after collision

m1v1 + m2v2 = (m1 + m2)vf

where:

m1 = 25.0 kg (mass of first car)

m2 = 35.0 kg (mass of second car)

v1 = velocity of first car before collision

v2 = velocity of second car before collision

vf = final velocity of the combined cars after collision

Since the first car slows down to 1.50 m/s to the right after the collision, and the second car moves 4.50 m/s to the right, we can write:

vf = (v1 + v2) / 2 = (1.50 + 4.50) / 2 = 3.00 m/s

Substituting the given values into the equation for conservation of momentum, we have:

25.0 kg x 5.00 m/s + m2 x v2 = 60.0 kg x 3.00 m/s

Solving for v2, the velocity of the second car before the collision, we get:

v2 = (60.0 kg x 3.00 m/s - 25.0 kg x 5.00 m/s) / 35.0 kg = 2.14 m/s

So the velocity of the 35.0 kg car before the collision was 2.14 m/s.

The translational speed of the bowling ball is 6.28 m/s.

Translational speed refers to the motion of an object in a straight line. It is the speed at which an object moves from one point to another in space. In the context of a ball rolling down an incline, translational speed would refer to the speed of the ball at any given moment as it moves in a straight line down the incline.

To find the translational speed of the bowling ball after it has rolled to the bottom of the incline, we need to use the equation of motion:

[tex]v = sqrt(v0^2 + 2ax)[/tex]

where v is the final velocity, v0 is the initial velocity (0 in this case), a is the acceleration (9.81 m/s^2), and x is the distance traveled (2 m).

So,

[tex]v = sqrt(0 + 2 * 9.81 * 2)\\v = sqrt(39.24)\\v = 6.28 m/s[/tex]

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The net electric force on particle 2 is -21.7 N.

The net force on particle q₂ is determined by applying Coulomb's law of electrostatic force.

F = kq₁q₂ / r²

where;

The force  between particle 2 and particle 1 is calculated as;

F = -( 9 x 10⁹ x 8 x 10⁻⁶ x 3.5 x 10⁻⁶ ) / (0.1)²

F = - 25.2 N

The force  between particle 2 and particle 3 is calculated as;

F = ( 9 x 10⁹ x 2.5 x 10⁻⁶ x 3.5 x 10⁻⁶ ) / (0.15)²

F = 3.5 N

The net force on particle 2 = 3.5 N - 25.2 N = -21.7 N

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Answer:

0.65 m/s NORTH

Explanation:

North is +, south is -

let V = velocity of the 0.12 kg ball AFTER the collision

Law of conservation of momentum (P = mv) states that total momentum before the collision must equal total momentum after the collision.

(0.10 kg)(9.6 m/s) - (0.12 kg)(7.6 m/s) = -(0.10 kg)(0.30 m/s) + (0.12 kg)(V)

                           Before                     →              After

0.96 kg·m/s - 0.912 kg·m/s = -0.03 kg·m/s + 0.12 kg(V)

0.048 kg·m/s + 0.03 kg·m/s = 0.12 kg(V)

0.078 kg·m/s = ·0.12 kg(V)

V = 0.078 kg·m/s / 0.12 kg = 0.65 m/s NORTH

Answer:

Explanation:

To solve for the mass of the football player, we can use the conservation of momentum principle, which states that the total momentum before a collision is equal to the total momentum after the collision. Assuming the collision is perfectly elastic, we have:

m1 * v1 + m2 * v2 = m1 * v1' + m2 * v2'

where m1 is the mass of the football player, v1 is the initial velocity of the football player, m2 is the mass of the referee, v2 is the initial velocity of the referee, v1' is the final velocity of the football player, and v2' is the final velocity of the referee.

Since the referee is at rest before the collision, we can set v2 = 0. Plugging in the given values, we get:

m1 * 8 + m2 * 0 = m1 * (-8) + m2 * 5

Expanding and solving for m1:

8m1 = -8m1 + 80

16m1 = 80

m1 = 5 kg

So, the mass of the football player is 5 kg.

The number of photoelectrons that can be removed from a golden spoon is (30W / c) / (e x 5.1 eV). The amount to start from the same spoon is (42W) / (e x 5.1 eV).

The work function of a material is the minimum amount of energy required to remove an electron from the material.

a) To find the number of photoelectrons removed from the spoon, find the energy deposited in the spoon during 1 second. With 600W of consumption, the spoon receives 5% of this energy, which is 0.05 x 600W = 30W.

To convert this to energy per second, we need to divide by the speed of light, c: E = 30W / c. To convert this energy to electron volts, divide by the charge of an electron, e: E_ev = E / e. Finally, to find the number of electrons removed, divide this energy by the work function of gold, 5.1 eV: n = E_ev / (5.1 eV) = (30W / c) / (e x 5.1 eV),

b) To find the number of photoelectrons removed from the spoon with the industrial laser, find the energy deposited in the spoon during 1 second. With 42W of laser power, the energy deposited in the spoon during 1 second is 42W. To convert this to electron volts, divide by the charge of an electron, e: E_ev = 42W / e. Finally, to find the number of electrons removed, divide this energy by the work function of gold, 5.1 eV: n = E_ev / (5.1 eV) = (42W) / (e x 5.1 eV)

Note: This is a simplified calculation and does not take into account the efficiency of the laser and the absorption of the spoon.

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Modern periodic table is created by Mosely and he classified elements based on their atomic numbers. The vertical columns in the table are called groups and the horizontal lines are called periods.

Periodic table is the classification of elements into different groups and periods. Groups are vertical columns in the table, containing elements with same number of valence electrons and similar chemical and physical properties.

Periods are horizontal rows in periodic table. From left to right the atomic number of elements increases by one. Lead is 82nd element in periodic table and it is placed in the 14th groups.

Metalloids are elements showing properties of both metals and non-metals. Metalloids are classified in group 14 as well in group 13.

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The best conclusion based on the given set of data is F. The period of a pendulum is not related to the mass of the bob

From the graph, it is clear that as the mass of the pendulum bob increases, its period remains relatively constant at about 1.18 seconds.

This suggests that the period is not related to the mass of the pendulum bob. The graph shows that the period remains nearly constant, rather than increasing or decreasing as the mass changes.

Therefore, it can be concluded that the period of a pendulum is not related to the mass of the bob.

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The minimum deceleration required to stop the car in 35 meters is 40000 m/s^2.

Deceleration is defined as  the decrease in speed as the body moves away from the starting point.

The minimum deceleration required can be calculated using the equation of motion:

d = v^2 / (2 * a)

where d is the distance, v is the initial velocity, and a is the acceleration.

Rearranging the equation to solve for a:

a = v^2 / (2 * d) = (3500 m/s)^2 / (2 * 35 m) = 40000 m/s^2

In conclusion, , the minimum deceleration required to stop the car in 35 meters is 40000 m/s^2.

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The two configurations in a vertical plane may be:

Force is a push or pull upon an object resulting from the object's interaction with another object. Forces can cause an object to accelerate or change its velocity. Forces have both magnitude and direction and are measured in units of Newtons (N) in the SI system. Some common examples of forces include gravity, friction, tension, and electromagnetic forces.

Since the three forces are in equilibrium, their sum must be zero. Hence, we have:

12 N + 15 N + 20 N = 0

The 12 N force is directed horizontally to the right, so the other two forces must sum to zero vertically. They can either both be directed upwards or both be directed downwards.

If both forces are directed upwards, then the sum of their magnitudes must equal -12 N vertically:

15 N + 20 N = -12 N

If both forces are directed downwards, then their sum must equal 12 N vertically:

15 N + 20 N = 12 N

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A magnetic field is a field that explains how magnetism affects an item in space. The strength of the electric force at any particular place in space is what is known as the electric field. The rate at which a charge travels through a space is called current.

From electric charges and shifting magnetic fields, electric fields are created.

There will always be an electric field connected to an electric charge or a group of charges. Any charged object placed in this field will experience an electrostatic force as a result of how the field and the charge of the object interact. The force that would be felt by a positively charged particle if it were present at that precise location is represented by field lines.

Electric charges can move in response to a shifting magnetic field. Inducing electric currents in wires via this phenomenon is a typical practice in electric generators. By altering the magnetic field more drastically or by coiling the wire to expose more of it to the changing magnetic field, the induced current can be raised.

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The amount of energy required to increase the temperature of 20 g of water from 283°C to 303°C is approximately 6.1 kJ.

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Answer:

scarcer

Explanation:

Silver is more costly than iron because it is scarcer as it is found only in some areas of the country... it's a rare element hence it is scarcer and more expensive..

The speed of  the bullet when it passes by the cliff on its way is V0 itself which is equal to h/t. The speed just before it strikes the grounds will be  √2gh.

Speed is a physical quantity measuring the distance travelled per unit time. It depends on the mass of the object as well some external factors such as friction, air resistance etc.

Here, the initial velocity of the bullet = V0

the speed of the bullet within a time t to pas the height of the cliff will be h/t.

Now, the kinetic energy of the ball just before it striking the ground is equal to its potential energy.

hence, 1/2 mv² = mgh

then v = √2gh.

If the bullet is instead fired downward with the same initial speed v0, then it is accelerating downwards then the speed  is √2gh + V0.

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The angular acceleration is 4.2 * 10^5 rpm^2.

Centripetal or angular  acceleration is the acceleration of an object moving in a circular path, directed towards the center of the circle.

It is equal to the square of the velocity of the object divided by the radius of the circular path. Centripetal acceleration is required to maintain the circular motion of an object and is provided by a force, such as tension or gravity, acting towards the center of the circle.

We know that;

α = ω2 - ω1/t

α = angular acceleration

ω2 and  ω1 final and initial; angular accelerations

t = time taken

We know that;

ω2  =  9.91×10^5 rpm

t = 2.35 min

α =   9.91×10^5 - 0/2.35

 = 4.2 * 10^5 rpm^2

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The time of motion of the stone is 8,5 seconds.

The final velocity when the stone hits the sea is 113.3 m/s.

The time of motion of the stone is calculated by applying the following formula.

h = vt - ¹/₂gt²

where;

-100 = 30t - ¹/₂(9.8)t²

-100 = 30t - 4.9t²

4.9t² - 30t - 100 = 0

solve using formula method;

t = 8.5 seconds

The final velocity of the stone is calculated as follows;

v = u + gt

v = 30 + ( 9.8 x 8.5 )

v = 113.3 m/s

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The law of conservation of momentum states that in an isolated system, the total momentum of two or more bodies acting on each other remains constant unless an external force acts on them. Therefore, it cannot create or destroy momentum.

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The amount that the valve is open is reflected by the resistance in the faucet. The diameter of the opening* in the wire determines its resistance.

Work is the result of a force creating a displacement. The length of time that this force exerts to generate the displacement has nothing to do with work.

The pace of the process can vary from being completed quickly to taking a while. A rock climber, for instance, takes an unusually lengthy time to raise her body a few meters up the cliff's edge.

Power= I2R, 225 is the power. The amount that the valve is open is reflected by the resistance in the faucet. The diameter of the opening* in the wire determines its resistance.

Therefore, The amount that the valve is open is reflected by the resistance in the faucet. The diameter of the opening* in the wire determines its resistance.

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The bowling ball requires more force to roll than the basketball. This is because the bowling ball has more mass than the basketball, and therefore more resistance to motion.

Force is related to mass because the force required to move an object is proportional to its mass. This relationship is described by Newton's second law of motion, which states that the acceleration of an object is directly proportional to the force applied and inversely proportional to its mass. In mathematical form, this relationship is expressed as:

F = ma

The amount of force required to move an object is proportional to its mass and its velocity. Since the bowling ball has more mass, it requires more force to be applied in order to get it moving, and to keep it moving at a constant velocity. Additionally, because the bowling ball is inside a white box, its rolling friction is higher, further increasing the amount of force required to move it.

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Answer: We can use Newton's second law, which states that the net force acting on an object is equal to its mass multiplied by acceleration.

Let's call the acceleration of the system "a". Then the net force acting on m1 is T1 - T2 + m1 * a = 0.

The net force acting on m2 is T2 - m2 * a = 0.

And the net force acting on m3 is T2 + m3 * a = 0.

Solving these three equations, we get:

T1 = T2 + m2 * a = 60.0 N + 8.00 kg * a

m1 * a = -T2 + 60.0 N + m1 * a

m3 * a = T2 - 60.0 N + m3 * a

Substituting T2 = 60.0 N, we get:

T1 = 60.0 N + 8.00 kg * a

m1 * a = -60.0 N + 10.0 kg * a

m3 * a = 60.0 N + 12.0 kg * a

Solving for the acceleration, we get:

a = (60.0 N + 8.00 kg * a) / (10.0 kg - 8.00 kg) = (60.0 N + 8.00 kg * a) / 2.0 kg

a = (60.0 N + 8.00 kg * a) / 2.0 kg = (60.0 N) / 2.0 kg + (8.00 kg * a) / 2.0 kg

a * 2.0 kg = 60.0 N + 8.00 kg * a

a = 60.0 N / 2.0 kg + 8.00 kg * a / 2.0 kg

a * 2.0 kg - 8.00 kg * a = 60.0 N

a * 10.0 kg = 60.0 N + 8.00 kg * a

a = 60.0 N / 10.0 kg = 6.0 m/s²

Finally, we can use T1 = 60.0 N + 8.00 kg * a to find T1:

T1 = 60.0 N + 8.00 kg * 6.0 m/s² = 60.0 N + 48.0 N = 108.0 N

So the acceleration of the masses is 6.0 m/s², and the tension T1 is 108.0 N.

Explanation: