A train slows down as it pulls into a station. if the train is moving from your left to your right, what are the directions of the vectors for velocity and acceleration?

Isaac Newton developed gravitational theory and used the theory to describe the orbits of celestial bodies

Newton's law describes the "strength of the force of gravity between two objects," which decreases as one moves away from light. It is mathematically recognized as an "inverse square law."

The following process for picturing the field drop-off is to envision the field of gravity around an object as a set of concentric spheres. Each sphere represents the same volume of the gravitational field, but the spheres furthest from the object are larger, resulting in the same volume of field is distributed thinly over a larger area.

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Explanation:

physics allow us to understand the electromagnetic radiation we used to transmit data with fibre optics and satellites and to build computers that interpret those signals and transmit data on the internet

Action and reaction forces comprise the parts of a. a single interaction.

For every action, there is an equal and opposite reaction. According to Newton's third law there is an equal (in size) and opposite (in direction) reaction force for every action force. That means that forces result from interactions.

The force exerted on an object is the action, and the force experienced by the object is the reaction.

Some forces result from contact interactions like frictional, tensional and other forces are results of actions at a distance interaction like gravitational, electrical, magnetic.

It is the physical magnitude that expresses the effort necessary to move the mass of one kilogram with an acceleration of one meter per second squared, this is expressed in units of the international system in Newton.

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Option D: John will express his brightness unit in candela.

Power, or the rate at which energy is utilized or produced over time, is measured in watts. Energy providers utilize watts to calculate the amount of electricity we use in Kilowatts per Hour (kWh), which is equivalent to 1,000 watts used for one hour.

A fundamental unit of measurement for the amount of visible light that a light source emits is called a lumen (lm), also known as luminous flux.

Simply put, to assess the power of a lamp inside a lighting fixture, look for the total number of Lumens.

In addition to the light itself, a number of other elements must be considered when estimating the amount of light that is emitted. Most lamps are housed in a light fixture that is composed of diffusers and reflectors, among other parts.

These variables, along with others like the shape and number of lights, will affect the luminaire’s brightness and light dispersion.

Luminaire efficacy considers these factors to give a more accurate estimation of the lumens generated by the entire luminaire once it is fully constructed.

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The two principal factors that affect the force of air resistance on a falling object are frontal area and speed, because the force mostly depends on these two factors.

When an object falls through the air, it mostly encounters some sort of resistance to its speed and this resistance is named air resistance.

This resistance is present because of the collisions of the air molecules with the frontal surface molecules of the object.

Simply state, the two most common factors that have an impact on the degree of air resistance can be said out as the speed of the object and then the cross-sectional are of the object.

Because the more the speed, the more the air resistance and so is the case with the cross-sectional area.

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According to the calculation the volume of gold = 115.79ml

density is the mass of the material substance per unit volume. d = M/V, in which d is density, M is weight, and V is volume, is the formula for density.

The formula for calculating density is the weight of such an object multiplied by its volume. The mathematical formula for this is d = m/v, where s t stands for density, m for mass, and v for the volume of the item.

Mass of gold nugget =  2.20 kg

                                  = 2.20 x 1000

                                  = 2200g

Density of a gold = 19 g/cm^3

                            =  19 g /mL

Substituting the value in the formula:

Density = Mass / Volume.

volume = mass / density

volume = 2200 g / 19 g/mL

             = 115.79ml

According to the calculation the volume of gold = 115.79ml

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By using uniform motion, the object will travel 2.22 meters until it stops.

We need to know about the uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule

vt = vo + a . t

vt² = vo² + 2a . s

s = vo . t + 1/2 . a . t²

where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.

From the question above, we know that

vo = 1.70 m/s

F = -52 N

m = 80 kg

vt = 0 m/s

Find the deceleration

F = m . a

-52 = 80 . a

a = -0.65 m/s²

Find the distance using the second equation

vt² = vo² + 2a . s

0² = 1.7² + 2(-0.65) . s

1.3s = 2.89

s = 2.22 meters

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Answer:

21 600 m

Explanation:

4 m/s  *   3600 s / hr  * 1.5 hr  = 21 600 m

By using unit conversion, the energy released in kilocalories is 9.42 kcal.

We need to know about unit conversion to solve this problem. There are several energy units which able to explain how much the energy is such as calories and joule. The energy unit can be converted to another unit by unit conversion. The unit conversion of calorie to joule is

1 cal = 4.184 joule

From the question above, we know that

E = 39.4 kJ

By using the unit conversion, we can convert the energy into calorie

E = 39.4 kJ

E = 39.4 x 10³ J

E = 39.4 x 10³ / 4.184 cal

E = 9.42 x 10³ cal

E = 9.42 x 10³ /10³  kcal

E = 9.42 kcal

Hence, the energy released in kilocalories is 9.42 kcal.

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Find the total x - component of the electric field at that point and get the resultant or the algebraic sum.

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The basketball that 20 ounces and has a volume of 456 in3 has a density of 0.076 g/cm3

The density formula and the procedure we will use is:

ρ = m/v

Where:

Information about the problem:

m = 20 oz

v = 456 in3

ρ= ?

By converting the mass from ounces to grams, we get:

20 oz * (28.3495 g / 1 oz) = 566.99 g

By converting the volume from in3 to cm3, we get:

456 in3 * (16.3871 cm3 / 1 in3) = 7472.52 cm3

Applying the density formula, we get:

ρ = m/v

ρ = 566.99 g/ 7472.52 cm3

ρ = 0.076 g/cm3

It is a physical quantity that expresses the ratio of the body mass to the volume it occupies.

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The type of tire which would have the least amount of friction on a road is a  bicycle tire and is denoted as option A.

This is referred to as the force which resists the relative motion of a solid surface against each other and is directly proportional to the area of contact.

This therefore means that the largest types of tires will have the most type of friction and in this scenario, it is the truck tire. However, the bicycle tire which is the smallest will have the least amount of friction on the road and is therefore the reason why option A was chosen as the most appropriate choice.

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A laminated iron heart and windings (or coils) that transform electrical energy into the energy of a magnetic field make up the stator, the stationary component of an ac motor.

The stator, which can be found inside electric generators, electric motors, sirens, mud motors, or biological rotors, is the stationary component of a rotating system. A stator serves as a conduit for energy going to or coming from the system's rotating part.

The stator creates a magnetic field that powers the revolving armature in an electric motor; in a generator, the stator transforms this rotating magnetic field into an electric current. The stator controls the fluid flow from or to the rotating component of a fluid-powered device.

Electric charges in motion create magnetic fields. Everything is constructed of atoms, so each atom contains a nucleus that is composed of protons and neutrons, with orbiting electrons. The small moving charges known as the circling electrons lead each atom to produce a very weak magnetic field.

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The motion of the rocket labeled a is an example of motion with uniform (i.e., constant) velocity and non- zero acceleration.

A body when covers an equal distance with an equal interval of time, this condition of the velocity is known as uniform velocity. Or, we can say that when the direction and magnitude of speed of a body do not change with time, then the body is said to be at uniform velocity.

Having a non-zero acceleration means having any amount of acceleration whatsoever. This could be either positive acceleration or negative acceleration (a.k.a. deceleration).

An object experiences a non-zero acceleration when it is speeding up, slowing down, or remaining at the same speed while changing direction. Any of these three scenarios would result in an object's velocity changing since velocity is the change in an object's position over time, and a change in velocity means the object is experiencing acceleration.

Conversely, an object has zero acceleration when it either remains stationary or moving at a constant speed in a straight line. In both of these scenarios, the velocity of the object is constant, so there is no acceleration.

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A horizontally applied force of 2400 N will accelerate a 400 kg crate at 1 m/s^2.

In the given diagram, the free body diagram (FBD) of a block is shown.

Here the two vertical forces, normal reaction(N) and weight(W) cancel each other while the horizontal forces do not cancel each other and provide acceleration to the block.

According to the given situation,

Applied Force - Frictional Force = ma

Here the frictional force is half the weight of the body 2000 N.

Putting the given values in the above equation,

F - F1 = 400 x 1

F - 2000 = 400

F = 2400 N

Hence, a horizontally applied force of 2400 N will accelerate a 400 kg crate at 1 m/s^2.

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A worker at the top of a 459-m-tall television transmitting tower accidentally drops a heavy tool. If air resistance is negligible, how fast (in m/s) is the tool going just before it hits the ground?

The rule of conservation of energy (the heavy tool’s potential energy at a height of 551 meters above the ground becomes its kinetic energy at ground level) allows us to determine the speed of the object when it hits the ground:

PE=KE

Since mgh=1/2mv2, the mass can cancel out.

In the case where g=9.81m/s2, gh=1/2v2

V=√2gh

=√2*9.81m/s2*459

=3 m/s

It’s possible for an object to have both kinetic and potential energy at once. For instance, a falling object that has not yet hit the ground has both kinetic and potential energy because it is traveling downward and has the capacity to go still further.

The mechanical energy of an object is the total of its potential and kinetic energies.

A falling object loses potential energy while gaining kinetic energy. The difference between the increase in kinetic energy and the decrease in potential energy is exact.

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The slowly fluctuating harmonic patterns by composer philip glass, used in his quatsi trilogy, represent minimalism musical style.

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It's True that Hypothermia is an excessive decline in a body temperature.

Hypothermia is condition that occurs when the body’s temperature drops below 95° F (35° C).The normal body temperature is 98.6° F (37° C). Hypothermia is medical emergency.

When a person’s body temperature is dangerously low, the brain and the body cannot function properly. Left untreated, hypothermia can lead to the cardiac arrest (heart stops beating) and death.

The first steps when treating hypothermia are:

Move to warm, dry location. Remove the wet clothing and replace with the dry clothing. Cover up with the jacket, hat, and blanket

When hypothermia is the more severe, doctors may also need to:

Insert IV into your vein and pump warm fluids into your body. Give you warm oxygen through a mask or a breathing tube. Use machine that warms your blood and pumps it back into your body

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The vertical component of the initial velocity is [tex]v_{0y}[/tex] = ( y / t ) + [ ( 1/2) gt ]

The horizontal component of the initial velocity is [tex]v_{0x}[/tex] = x / t

We know that,

x = [tex]v_{0x}[/tex] t

y = [tex]v_{0y}[/tex] t - ( 1/2) g[tex]t^{2}[/tex]

where,

x = Horizontal displacement of the object

y = Vertical displacement of the object

g = Acceleration due to gravity

t = Time of motion

For horizontal motion there is constant velocity and for vertical motion there is uniform acceleration.

The vertical component of the initial velocity is given as

y = [tex]v_{0y}[/tex] t - ( 1/2) g[tex]t^{2}[/tex]

[tex]v_{0y}[/tex] t = y + ( 1/2) g[tex]t^{2}[/tex]

[tex]v_{0y}[/tex] = ( y/t ) + ( 1/2 ) gt

The horizontal component of the initial velocity is given as

x = [tex]v_{0x}[/tex] t

[tex]v_{0x}[/tex] = x / t

A projectile motion is the motion of an object thrown in air at some angle with the horizontal.

Therefore,

The vertical component of the initial velocity is [tex]v_{0y}[/tex] = ( y / t ) + [ ( 1/2) gt ]

The horizontal component of the initial velocity is [tex]v_{0x}[/tex] = x / t

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Answer:

OA The force exerted by the car is more than the force exerted by the snowbalL

Explanation:

If the ball's force is more than the force exerted by the car then car will be moved

Answer:

frequency

Explanation:

speed of light = constant = wavelength * frequency

                                                changing WL or F will change the other

Air starts exerting more and more pressure on the walls of the syringe

What will happen to air particles when the are being compressed in a syringe?

Although the space has grown, the individual atoms and molecules can now go farther before running into a nearby atom or molecule because they can now bounce off the walls of the syringe instead of directly bouncing into one other.

Additionally, as the syringe is compressed, you are essentially cramming the same molecules into less space, which causes them to traverse shorter distances and collide more frequently.

This has to do with pressure because when molecules strike the syringe's walls, they bounce off, creating a force and response force that keeps the syringe's walls stiff against the environment it's in or the outside atmosphere. Atoms and molecules essentially bounce off the walls inside the syringe just as much as molecules outside the syringe do when the pressure inside and outside is equal. When the volume of the syringe is increased, the air molecules fill it up, which results in fewer impacts with the inner wall and less force holding the interior rigid to the exterior. Conversely, when the volume is decreased, the impacts happen more frequently because the molecules have nowhere else to go and no more space to travel before encountering another molecule or a wall, so the increase in the frequency of the impacts leads to an increase in the force holding the interior rigid to the exterior.

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A decrease in one's ability to hear high-pitched, high frequency sounds is known as high-frequency hearing loss.

The term hearing has to do with the ability to pick out sounds. It is the ability to comprehend the meaning of sounds which may be disconnected or coherent.

Hearing occurs both at low and high frequency. The loss of hearing depends on what area of the ear that has been affected. Thus, if the inner ear of a person has been affected, there is a decrease in one's ability to hear high-pitched, high frequency sounds which is known as high-frequency hearing loss.

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Heat conduction, also named as thermal conduction, is the heat flux in a body due to temperature difference and occurs by the movement of electrons within a body.

When all the available energies such as electrical energies, chemical energies or the nuclear energies are converted to the thermal energy, the the conversion process is called heat generation.

Thermal conduction is the process when the heat transfers from hotter region to  the colder region.

In heat conduction analysis, the conversion of electrical, chemical or nuclear energy into thermal energy in solids is called as heat generation.

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The equation can be used to obtain the weight as 40N.

In this problem, we are asked to obtain the equations and thus the problems as shown. We shall now proceed to use the equations are required.

1) W = mg

W = weight

m = mass

g = acceleration due to gravity

W = 4 Kg * 10 m/s^2 = 40 N

2) v = u + at

v = final speed

u = initial speed

a = acceleration

t = time

3 = 0 + 2a

3 == 2a

a = 1.5 m/s^2

3) v = d/t

v = speed

d = distance

t = time

v = 15 m/30 s = 0.5 m/s

4) W = fd

W = work

f = force

d = distance

W = 25 N * 8 m = 200 J

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Answer:

in this problem, we have given a card of wait. £3217 is traveling in a straight line at a speed of 60 ft/s. How much force does it require to stop the car in five seconds. So here we will use a cinematic equation. We finally, is it caused to the initial plus acceleration in two times. So finally, spirit will be zero initially 60 ft/s and exhalation. We have to find And time is five seconds. Right? So we need acceleration, Which is a cost to -60 x five. That is a cost to 12 feet per second square. That means we need acceleration in the opposite direction, so we need a force which is in the opposing direction of the motion. So this force, if we talk about the magnitude, there should be equal to mass into acceleration. So this mass of card will be weight divided by G, into exploration. That is 12 serve it of cars, and 3217, And G is 32.17 in 212. So this force in pounds is equal to £1200 in the opposite direction of motion.

Explanation:

The force required to stop the car is 5334.09 Newtons. The force is negative representing the deceleration.

The car's weight to mass:

Weight = 3,217 lb

1 lb = 0.453592 kg

Mass = Weight ÷ gravitational acceleration

Mass = 3217 × 0.453592

Mass = 1459.59 kg

The initial velocity is:

Initial velocity = 60 × 0.3048

Initial velocity = 18.288 m/s

Since the car stops, the final velocity will be 0 m/s.

The acceleration is:

Acceleration = (Final velocity - Initial velocity) ÷ time

Acceleration  = -3.6576 m/s²

The force required to stop the car using Newton's second law of motion:

Force = m × a

Force = 1459.59 × (-3.6576)

Force = -5334.09 N

Therefore, The force required to stop the car is 5334.09 Newtons. The force is negative representing the deceleration.

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A measure of how quickly a conductor moves across a field. The voltage induced increased as the conductor moved through the field more quickly. The induced voltage and speed are directly inversely proportional.

Current can only flow when a circuit is closed or complete, hence, unless the circuit is completed current will not flow

What is Electro-Magnetic Induction?

This a phenomenon whereby a wound wire or a soft core of conductor made to cut across magnetic line of force and an E.M.F is generated, this E.M.F forces current to flow if the circuit is completed.

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The work done is 51.3 lb ft.

f = 19 lbs

moves a chair from x = 1.9 to x = 4.6 ft

W = [tex]\int\limits^b_aF {x} \, dx[/tex]

W = 51.3 lb ft

The work done is 51.3 lb ft.

Every time a force pushes something over a distance, work is done.

By multiplying the force by the distance moved in the force's direction, you may determine the energy transferred, or work done.

Energy transmitted equals work done, which is force times the distance travelled in the force's direction.

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The matrix of the linear transformation from ℝ2 to ℝ2 that rotates any vector through an angle of 120° in the anticlockwise direction is[tex]\left[\begin{array}{ccc}-1/2&\sqrt{3}/2 \\ \sqrt{3}/2 &-1/2\\\end{array}\right][/tex]

What is a matrix that can be taken for counterclockwise for an angle [tex]\alpha[/tex]

The matrix can be written as [tex]\left[\begin{array}{ccc} cos\alpha &sin\alpha \\ sin\alpha & cos\alpha \\\end{array}\right][/tex]

While putting the value of angle in the matrix, we have

[tex]\left[\begin{array}{ccc} cos120 &sin120 \\ sin120& cos120 \\\end{array}\right][/tex]

for [tex]\alpha[/tex] = 120

and thus, we have the answer as:

[tex]\left[\begin{array}{ccc}-1/2&\sqrt{3}/2 \\ \sqrt{3}/2 &-1/2\\\end{array}\right][/tex]

Therefore, the matrix can be stated as a matrix A of the linear transformation from r2 to r2 that rotates any vector through any angle of 120 in the anticlockwise direction.

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