Ax a x = 26 m/s2 m / s 2 , ay a y = 10 m/s2 m / s 2 . find the vector's direction.

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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Mechanical power is being provided for constant rotation of the armature in operating mechanical devices.

The armature has two functions. The first is to transport current across the field, resulting in shaft torque in a rotating machine or force in a linear machine. The second function is to create electromotive force (EMF).

The relative motion of the armature and the field produces an electromotive force in the armature. When employed as a motor, the EMF opposes the armature current, and the armature transforms electrical power to mechanical power in the form of torque and transfers it via the shaft. The armature EMF drives the armature current, and the shaft movement is converted to electrical power when the machine is utilized as a generator.

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Both balls have the same velocity upon reaching the ground.

                    [tex]\begin{aligned}\\\small K.E +P.E &=\small K.E_1 +P.E_1\\\\\small \frac{mv^2}{2}+mgh&=\small \frac{mV^2}{2}+0\\\\\small V&=\small \sqrt{v^2+2gh}\end{aligned}[/tex]

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The true airspeed will increase and true altitude will increase.

True airspeed is the airspeed of an aircraft relative to undisturbed air.

It's the aircraft speed relative to the airmass in which it's flying.

If the outside air temperature increases during a flight at constant power and at a constant indicated altitude, the true airspeed will increase and true altitude will increase.

Thus, the true airspeed will increase and true altitude will increase.

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5 seconds is the additional time.

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Answer:

B

Explanation:

The first modern personality test was the Woodworth Personal Data Sheet, which was first used in 1919. It was designed to help the United States Army screen out recruits who might be susceptible to shell shock.

so, B is correct

Answer:

The answer is B, I hope this helps.

Mutation provides the raw material for evolution because it can create new alleles, which are alternative forms of the same gene.

A mutation is a variation or change that occurs spontaneously in the sequence of the genes that make up the deoxyribonucleic acid (DNA).

Mutations can occur at three different levels:

In biology, a gene is a unit composed of a chain of deoxyribonucleic acid (DNA) that contains the necessary information to transfer hereditary traits from one generation to the next.

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The third angle of the triangle should be 37π/72 rad.

We need to know about the triangle rule to solve this problem. One of the rules of the triangle is the total angle inside the triangle is 180⁰.

A + B + C = 180⁰

From the question above, the given parameter is

A = π/9 rad

B = 3π/8 rad

Convert the angle to radian

180⁰ = π

Hence, the total angle should be

A + B + C = π

π/9 + 3π/8 + C = π

C = π - (π/9 + 3π/8)

C = π - 35π/72

C = 37π/72 rad

Hence, the third angle of the triangle should be 37π/72 rad

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Answer:

4

Explanation:

if there are 1/4 cups and you need to fill a cup, you need 4
4 x 1/4 = 4/1
4/1 = 1

Capacitor always needs a resistive path to charge or discharge.

Suppose the capacitor is charging through the path R1 and its current flow direction is also shown as per the figure.

Now suppose fully charged capacitor is disconnected from the circuit, hence there will be no current flow out from the capacitor.

But practically ideal capacitors do not exist, there must have some leakage paths suppose R2 and i2.

Therefore, we can see that i1 was entering to C but i2 was leaving C. Hence Capacitive current flow is in reverse direction.

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According to the current, the charge is 18 coulombs.

We need to know about current to solve this problem. Current can be defined as the flowrate of charge through the medium. It can be determined as

I = Q / t

where I is current, Q is charge and t is time.

From the question above, we know that

I = 250 mA = 0.25 A

t = 1.2 min = 72 seconds

By substituting the given parameters, we can calculate the charge

I = Q / t

0.25 = Q / 72

Q = 18 coulombs

Hence, the charge is 18 coulombs.

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The Total Distance covered by the train while slowing down is 8062.85 meters.

In the given situation,

We can find the distance covered by the tie fighter from the formula :

                               =>  [tex]S = ut + \frac{1}{2}at^{2}[/tex]

Here S = Distance, u = Initial Velocity, t = Time taken, a = Acceleration

It is given that, u = 607m/s, t = 14.6s, a = -7.5 m/s^2

The negative Acceleration means it is a case of Slowing down.

Putting values into the equation,

                               => S = (607)*(14.6) + (1/2)*(-7.5)*(14.6)^2

                               => S = 8862.2 + (-799.35)

                               => S = 8062.85

The total distance traveled while slowing is: 8062.85m

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By using Hooke's Law, the force constant is 4 x 10⁶ N/m.

We need to know about Hooke's Law to solve this problem. Hooke's Law describes the force applied to spring (elastic materials) will proportional to spring constant and displacement under the elastic condition. It can be described as

F = k . x

where F is force, k is spring constant and x is displacement.

The potential energy of spring can be determined as

PE = 1/2 . k . x²

where PE is potential energy

From the question above, we know that

x = 5 mm = 0.005 m

PE = 50 joule

By substituting the given parameter, we can calculate the force constant of the wire

PE = 1/2 . k . x²

50 = 1/2 . k . (0.005)²

k = 4 x 10⁶ N/m

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The rise in temperature of the copper block after hitting the floor is 0.49°c

The quantity of heat energy needed to raise a substance's temperature per unit of mass is known as specific heat capacity. A material's specific heat capacity is a physical characteristic. Since its value is inversely correlated with the size of the system under study, it is also an illustration of an extended feature.

Energy can only be transformed from one form to another. It cannot be created or destroyed.

From the law of conservation of energy we know,

The potential energy of the block= cmΔT

mgh= cmΔT

m×9.8×20= 400×m×ΔT

196=400ΔT

ΔT=0.49°C

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The time interval in fall motion is 1.86 seconds.

We need to know about fall motion to solve this problem. Gravity has a big role in fall motion. It can be described as

vt = vo + g . t

vt² = vo² + 2 . g . h

h = vo . t + 1/2 . g . t²

where vo is initial speed, vt is final speed, g is the gravitational acceleration (9.8 m/s²), h is height and t is time.

From the question above, we know that:

h = 30.8

vo = 7.4 m/s

Find the final velocity

vt² = vo² + 2 . g . h

vt² = 7.4² + 2 . 9.8 . 30.8

vt² = 54.76 + 603.68

vt² = 658.44

vt = 25.66 m/s

Find the time interval

vt = vo + g . t

25.66 = 7.4 + 9.8t

9.8t = 18.26

t = 1.86 seconds

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Answer: 0.05 M/min

Explanation: (0.85 - 0.55)/ 6 mins

The constant velocity of center of mass when the spring is at maximum compression is V = ( [tex]m_{1} v_{1}[/tex] + [tex]m_{2} v_{2}[/tex] ) / ([tex]m_{1} + m_{2}[/tex] )

When two objects collide the momentum is always conserved no matter the type of collision. But in case of kinetic energy, it is conserved only if the collision is elastic. Here the collision is elastic due to the presence of a spring. So, in this situation kinetic energy is conserved.

At maximum compression, According to law of conservation of momentum,

Sum of linear momentum before collision = Sum of linear momentum after collision

[tex]m_{1} v_{1}[/tex] + [tex]m_{2} v_{2}[/tex] = ([tex]m_{1} + m_{2}[/tex] ) V

V = ( [tex]m_{1} v_{1}[/tex] + [tex]m_{2} v_{2}[/tex] ) / ([tex]m_{1} + m_{2}[/tex] )

where,

V = Velocity of center of mass

[tex]m_{1}[/tex] = Mass of glider 1

[tex]m_{2}[/tex] = Mass of glider 2

[tex]v_{1}[/tex] = Velocity of glider 1

[tex]v_{2}[/tex] = Velocity of glider 2

Therefore, the constant velocity of center of mass when the spring is at maximum compression is V = ( [tex]m_{1} v_{1}[/tex] + [tex]m_{2} v_{2}[/tex] ) / ([tex]m_{1} + m_{2}[/tex] )

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Two variables the student should control in the experiment are:

Variables in an experiment refers to those factors which can be changed by the researcher and these changes in these variables will result in changes in the result of the experiment.

There are three types of variables in an experiment and they are:

Independent variable: this variable does is changed by the researcher and results in changes in the variable being tested.

Dependent variable: this is the variable being tested and is affected by changes in the independent variable.

Control or constant variable : this variable is kept constant in the experiment.

Considering the investigation by the student:

Two variables the student should control are:

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Answer:

Explanation:

Newton's first law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force

Answer:The first law of motion states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force.

The common element among measures of speed, rate, and latency is time.

The only science that specifically studies time is physics, but even physicists acknowledge that time is one of the most challenging aspects of our universe to comprehend. However, time is typically seen as an ontologically "fundamental" or primary idea and is not composed of or dependent upon anything else, even in the most advanced and sophisticated physical models.

Time is typically defined by its measurement in the sciences; it is only what a clock says. Since physics in particular frequently requires extremely precise time measurements, time must be regarded as an infinitely divisible linear continuum and not as a quantized quantity (i.e. composed of discrete and indivisible units). Time can now be measured accurately to about 1015 seconds thanks to contemporary atomic time standards like TAI and UTC and extremely precise atomic clocks. This is equivalent to about 1 second of error in roughly 30 million years.

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Yes, the given statement is true.

An electron not only moves around the nucleus but also rotates on its own axis, thus generating a tiny magnetic field. The direction of the field is described by the spin quantum number, ms, which is not related to any specific orbital but is a property of the electron itself.

An atom is made up of three fundamental particles electrons, protons, and neutrons, and a positively charged nucleus. In an atom, electrons rotate on their axis as well as aorund the nucleus.

The rotational movement of electrons around the nucleus creates a magnetic field.

However, the magnetic forces cancel out each other due to the opposite spins of the electrons.

similarly, in a wire, the movement of electrons generates a magnetic field around the wire.

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The gold sheet used was around 1000 atoms thick.

The Rutherford observed that the use of aluminium foil will be better instead of gold foil, the reason is given below. The gold is very cheap metal so due to this property it can be easily turned into thin thin foil, Rutherford wants the thinnest layer as thin as possible. If any other metal foil is used in place of gold then also there will be no change in the observations if the metal foil to be used is as thin as gold foil.

So we can conclude that the gold sheet used was around 1000 atoms thick.

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The frequency of light from a laser is 4.878 x10^ 14 s-1 hertz

v= c/ lambda

c= 3.00 x10^8 m/s

nm into meters

615nm (1m/ 1x10^9 nm) = 6.15x 10^-7 m

use frequency formula

v = 3.00 x10^8 m/s // 6.15 x10 ^-7

v = 4.878 x10^ 14 s-1 hertz

The frequency of light from a laser is 4.878 x10^ 14 s-1 hertz

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The work needed to slide the crate at a distance of 22 m is

[tex]$W=4.38 \times 10^3 J$[/tex]

The work done by a constant force on an object as the object moves along a displacement vector [tex]$\vec{d}$[/tex] is given by the formula involving the dot product of the two vectors:

[tex]$W=\vec{F} \cdot \vec{d}=F d \cos (\theta)$$[/tex]

Where [tex]$\vec{F}[/tex], F is the force vector and its magnitude respectively, [tex]$\vec{d}[/tex], d is the displacement vector and its magnitude respectively and [tex]$\theta$[/tex] is the angle between the displacement vector and the force vector.

Given:

Force acting on the crate, F = 230 N

Distance traveled by the crate,

[tex]$d=22 \mathrm{~m}$$[/tex]

The angle between the force and the displacement,

[tex]$$\theta=30^{\circ}$$[/tex]

Then the work done by the force on the crate as it travels 22 m under the action of the force is

[tex]$W &=F d \cos \theta \\[/tex]

[tex]$&=230 \times 22 \cos 30^{\circ} \\[/tex]

simplifying the above equation, we get

[tex]$&=230 \times 22 \times \frac{\sqrt{3}}{2} \\[/tex]

[tex]$&=4382.089 \mathrm{~J} \\[/tex]

[tex]$&=4.38 \times 10^3 \mathrm{~J}[/tex]

Therefore the work needed to slide the crate at a distance of 22 m is

[tex]$W=4.38 \times 10^3 J$[/tex]

The complete question is:

How much work does it take to slide a crate 22m along a loading dock by pulling on it with a [tex]$230-\mathrm{N}$[/tex] force at an angle of [tex]$30^{\circ}$[/tex] from the horizontal?

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The average speed of the complete round trip is 65.57 km / h.

We need to know about the average speed to solve this problem. The average speed can be determined as the total distance divided by the total time. It can be written as

v = d / t

where v is average speed, d is distance and t is time.

From the question above, we know that

d1 = 300 km

v1 = 93 km/h

t lunch = 1 hour

d2 = 300 km

v2 = 56 km/h

Find the time during the outgoing

v1 = d1 / t1

t1 = d1 / v1

t1 = 300 / 93

t1 = 3.23 hours

Find the return time

v2 = d2 / t2

t2 = d2 / v2

t2 = 300 / 56

t2 = 5.36 hours

Hence, the total time

t = t1 + t2 + t lunch

t = 3.23 + 5.36 + 1

t = 9.59 hours

Find the average speed

v = d / t

v = (300 + 300) / 9.59

v = 65.57 km / h

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Initial velocity exists at 19.6 m per second. Plus acceleration exists equivalent to expression due to gravity, but it exists downward, so it will be negative -9.8 m per second squared and time exists three seconds, so this exists equivalent to this gives us - 9.8 meter per second velocity after 3 seconds.

The acceleration of the ball will be a constant [tex]$9.8 \frac{\mathrm{m}}{\mathrm{s}^2}$[/tex] (downward), regardless of whether the ball exists traveling upward or downward.

The equation that makes this calculation simplest is

[tex]$$V_f=V_i-g(\Delta t)$$[/tex]

where the negative sign has been used to account for the opposite directions of [tex]$V_i$[/tex] and g. After 3 seconds,

[tex]$V_f=19.6-(9.8)(3)=19.6-29.4=-9.8 \frac{m}{s}$$[/tex]

The negative result tells us that the ball is on its way downward by this time (consistent with our choice of a negative value for the downward acceleration of gravity).

Initial velocity exists at 19.6 m per second. Plus acceleration exists equivalent to expression due to gravity, but it exists downward, so it will be negative -9.8 m per second squared and time exists three seconds, so this exists equivalent to this gives us - 9.8 meter per second velocity after 3 seconds.

The complete question is:

A ball is thrown upward at a velocity of 19.6 m/s. What is its velocity after 3.0 s, assuming negligible air resistance?

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The photon energy excite the hydrogen atom when its electron is in the ground state −13.6eV.

The second energy level is -3.4 eV.

Therefore, if we calculate the energy levels E₁ & E₂

E₂ − E₁ = -3.4 eV − -13.6 eV = 10.2 eV

Hence, the above expression shows, to excite the electron from the ground state to the first excited state. Similarly

The energy of the electron in ground state is −13.6eV.and the energy required to move electrons from ground state to third excited state is 12.75eV.

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The gravitational pull accelerates the Earth more since it is less heavy and causes it to move more quickly.

The mass of the Earth is what creates gravity. The combined gravitational force of all of its mass acts on the mass in your body. We couldn't survive without gravity. It produces the force that keeps the Earth in orbit around the Sun and keeps us on the surface of the planet. When two objects contact, forces are the mechanism by which energy is transmitted from one to the other, but forces do not themselves contain energy. Since gravity is a force, it only offers one method for objects to exchange energy and change its state.

The weakest force that humans are aware of is gravity.

Weight and gravity are not the same.

Gravity generates waves that move at light speed.

Gravitons, which are massless particles, may carry gravity.

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At rest, when travelling at a constant speed, and when in mechanical equilibrium, there is no acceleration and answer choice D is correct.

In mechanics, acceleration describes the rate at which a driving object's velocity changes over time. They are accelerations and vector quantities. The direction of an object's acceleration is determined by the direction of the net force acting on it. Depending on whether an object is moving faster, slower, or in a different direction, its velocity may change. Examples of acceleration include a falling apple, the moon orbiting the earth, and a car that has stopped at a stop sign. The car is positively accelerating if the speed is increasing. As the car slows down, its speed decreases. A decline in speed is referred to as negative acceleration. In both situations, the car is traveling ahead, yet one has a positive acceleration and the other a negative one.

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