A light-rail commuter train accelerates at a rate of 1.35 m/s2. how long (in s) does it take to reach its top speed of 80.0 km/h, starting from rest?

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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87.69 grams of calcium metal is required to react with 7.75 g water to produce calcium hydroxide and hydrogen gas.

Ca (OH)2+2H2 = CaH2 + 2H2O

Convert grams of hydrogen to moles of hydrogen.

H2 has a molar mass of 2.016 g/mol.

1 mol H2 x 8.400g H2

2.016g H2 equals 4.1667 mol H2

Calculate the moles of CaH2 using the molar ratio.

The molar ratio is 1 mol CaH2: 2 mol H2, according to the equation that is balanced.

2.0833 mol CaH2 = 4.1667 mol H2 1 mol CaH2 2 mol H2

grams of CaH2 to CaH2

CaH2 has a molar mass of 42.09 g/mol.

1.mol CaH2=87.69 g CaH2 2.0833mol CaH2=42.09 g CaH2

87.69 g CaH2 are required for the reaction.

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The complete statement is → At the summer solstice in the northern hemisphere, the sun travels longest path through the sky.

We have a statement regarding summer solstice in northern hemisphere.

We have to complete the statement using appropriate words.

A Solstice that marks the onset of summer. To be more precise, 21st June in northern hemisphere marks the summer solstice and 22nd December in southern hemisphere marks the Summer solstice.

According to the question, we have -

At the summer solstice in the northern hemisphere, the sun ____.

The given sentence can be completed as →

At the summer solstice in the northern hemisphere, the sun travels longest path through the sky.

On this day, there is more daylight. During the summer solstice in northern hemisphere, the north pole is shifted 23.4° toward the Sun which lasts until the autumnal equinox (September 22 or 23) where it ends.

Hence, the complete statement is → At the summer solstice in the northern hemisphere, the sun travels longest path through the sky.

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Answer: 0.05 M/min

Explanation: (0.85 - 0.55)/ 6 mins

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 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 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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A thermometer that consistently measures five degrees cooler than the actual temperature is reliable but not valid.

A thermometer is a device used to measure temperature or a temperature gradient (the degree of hotness or coldness of an object). A thermometer is made up of two essential parts: a temperature sensor that adapts to changes in temperature (such the bulb in a mercury-in-glass thermometer or the pyrometric sensor in an infrared thermometer), and a means to convert this change into a numerical value. In order to monitor processes, thermometers are frequently employed in technology, industry, meteorology, medicine, and scientific study.

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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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Carbon dioxide and water vapor are the two principal atmospheric gases that absorb solar energy.

Gases in the atmosphere of the Earth are referred to as atmospheric gases. While greenhouse gases (carbon dioxide, methane, nitrous oxide, water vapor, and ozone) only make up 1% of the air, they make up the majority of these gases, which account for 99% of the air's composition. Several separate gases, each with unique characteristics, are actually mixed together to form the air. Air's chemical makeup changes throughout time. It could change over time and from location to location. There are also some varying elements in the air in our environment. Water vapor, dust particles, and ozone are some of these changeable elements. The weather and environment can be significantly impacted by these, despite their rarity and low concentration.

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The mass of the object is 13.924 lbf.

Using the formula:

w = m x g ....... eq1

here w is weight of the object.

m is mass of the object, and

g is the acceleration of gravity.

mass, m = 14 lbm (given)

acceleration of gravity, g= 32.0 ft/[tex]s^{2}[/tex]

Now, substituting the values in equation (1):

w = 14lbm x 32.0 ft/[tex]s^{2}[/tex] = 448 lbm ft/[tex]s^{2}[/tex]

since, 1 lbf = 32.174 lbm ft/[tex]s^{2}[/tex]

so, w = 448 x [tex]\frac{1}{32.174}[/tex]

w = 13.924lbf

Hence, the mass of an object is 13.924 lbf.

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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 correct answer is  their difference in the charge to  mass ratio  a mass spectrometer, a compound is first vaporized and converted into ions .

Mass spectrometry is a technique for determining the mass-to-charge ratio (m/z) of one or more molecules in a sample. These measurements are frequently used to calculate the precise molecular weight of the sample components.

The speed at which positively charged ions move through a vacuum chamber toward a negatively charged plate is measured by mass spectrometers. ToF, magnetic sector, and quadrupole mass spectrometers are all commonly used in SIMS instrumentation.The MS/MS has three major advantages: the ability to study numerous molecules regardless of whether they are from the same structural family or not; the ability to highlight the specific metabolites of a disease; and it is an automated technique that allows for large-scale analysis.

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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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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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Acceleration is not the same as speeding up. It refers to any modification of motion's direction or speed. Accelerated motion is any movement that is not constant speed in a straight line.

In physics, acceleration refers to the rate at which an object's velocity over time changes. 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.

Acceleration is the measure of a change in velocity. Acceleration frequently, though not always, denotes a shift in speed. The direction of motion is changing, therefore an object moving at a constant speed in a circular path is still moving ahead.

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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

5 seconds is the additional time.

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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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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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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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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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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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The average fixed cost per unit at an activity level of 5,200 units is $6.00.

The average fixed cost (AFC) is fixed cost that does not change with the change in the number of goods and services produced by a company. To put it in a nutshell, average fixed cost (AFC) is the fixed cost per unit and is calculated by dividing the total fixed cost by output level.

Since no cost is fixed for a long time, average fixed cost is only for a short run. When units of production increase, the average fixed cost per unit decreases. Similarly, when the business produces less units, average cost increases per unit.

However, only one unit, mostly capital, is fixed. Examples of average fixed cost are the salaries of permanent employees, mortgage payment on machinery and plant, rent, more.

Average Fixed Cost Formula:

AFC = Total fixed cost/Output (Q)

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Wave speed decreases by half while the frequency remains constant.

                           [tex]\begin{aligned}\\\small v_1 &=\small f.\lambda_1\quad\cdots\cdots(1)\\\\\small v_2 &=\small f.\frac{\lambda_1}{2}\quad\cdots\cdots(2)\\\\(2)\div&(1)\\\\\small v_2 &=\small \frac{v_1}{2}\end{aligned}[/tex]

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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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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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Answer:

His second law. "The acceleration of an object depends on the mass of the object and the amount of force applied."

Explanation:

The harder you hit the faster and more the ketchup comes out

By using uniform motion, the acceleration of plane is - 10.45 m/s² .

We need to know about the uniform motion to solve this problem. The uniform motion is the motion of an object which has acceleration applied. It can be determined as

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 interval and s is displacement.

From the question above, we know that:

vi = 115 m/s

vt = 0

t = 11 s

By using first equation, we can calculate the acceleration

vt = vo + a . t

0 = 115 + a . 11

11a = -115

a = - 10.45 m/s²

Hence, the acceleration of plane is - 10.45 m/s² .

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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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