The acceleration due to gravity on planet X is
one-fifth that on the surface of the earth.
If it takes 3.8 s for an object to fall a certain
distance from rest on earth, how long would
it take to fall the same distance on planet X?
Answer in units of s

The vehicle took 2.6 seconds to accelerate.

Acceleration is the rate at of change of velocity. It is a vector quantity. That is, it has both magnitude and direction.

Given that a vehicle accelerates to 22.60 m/s after being stopped at a red light. The vehicle travels 29.46 m while accelerating from the intersection. How fast was its acceleration?

The parameters to be considered are:

Let us first calculate the acceleration by using the formula

v² = u² + 2as

22.6² = 0 + 2 × a × 29.46

510.76 = 58.92a

a = 510.76 / 58.92

a = 8.67 m/s²

Now, we can know how fast was its acceleration by using the formula

v = u + at

22.6 = 0 + 8.67 × t

22.6 = 8.67t

t = 22.6 / 8.67

t = 2.61 s

Therefore, the vehicle took 2.6 seconds to accelerate.

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Answer:

50 to 500 Water drops

Explanation:

One cubic centimeter of a typical cumulus cloud contains 50 to 500 water drops.

23 km when x1+ x2 = 0.87/10. is the main answer.

The size of a vector in the x-direction is expressed by its x-component, also known as its horizontal component. The size of a vector in the y-direction is represented by its y-component, also known as its vertical component. A projectile's trajectory is determined by velocity in two dimensions. The projectile's x and y components each represent its horizontal and vertical motion, respectively. Meters are the units used to indicate both horizontal and vertical distances (m).

A+B=A= (x1+x 2) i+20 jx1+x2/20

=tan60 = 0.5/0.87.

A=x1 i+10 j.

B=x2 i+10 j.

A+ B = (.87/10) 2 + 20 /2

= 23 km when x1+ x2 = 0.87/10.

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During the nuclear change, the amount of protons remains the same and is unchanged.

The interaction between two nuclear particles (two nuclei or a nucleus and a nucleon) that results in the production of two or more nuclear particles or -rays is known as a nuclear reaction (gamma rays). The process is sometimes referred to as a nuclear scattering rather than a nuclear reaction if a nucleus interacts with another nucleus or particle without altering the nature of any nuclide.

Nuclear Reactions and Conservation Laws:

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The best possible conclusion that can be drawn is that the number of fossils of amphibians and marine organisms is particularly reduced in layer B. Therefore, layer A probably formed before the Late Devonian extinction and layer B after. That is option A.

A palaeontologist is an individual that has been professionally trained to obtain information from fossils and studying of the rock formations.

Fossil is defined as the preserved organic remains of living organism such as bones, shells, exoskeletons, stone imprints of animals or microbes which may have lasted for many geologic ages.

From the given table, different fossils are being identified in two rock layers such as Layer A and layer B.

Layer A contains a higher number of fossils of reptiles, amphibians and marine organisms than seen in Layer B rock formation.

Therefore, the best possible conclusion that can be drawn is that the number of fossils of amphibians and marine organisms is particularly reduced in layer B. Therefore, layer A probably formed before the Late Devonian extinction and layer B after.

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By multiplying the frequency and wavelength we'll get speed of wave.

what is wavelength?

The separation between two successive wave crests or troughs is known as a wavelength. It is determined by measuring the wave's direction.

A wave's wavelength is the separation between its crests and troughs, which may be measured for electromagnetic, sound, or other types of waves.

The peak of the wave is called the crest, while the dip is its base. Wavelength is measured in length units like meters, centimeters, millimeters, nanometers, etc. since it is a measure of distance or length.

Wavelength of the wave = Wave speed/Frequency

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The solution that satisfies the initial condition y(0) is y(t) = -6e^(-2t)+15 .

The general solution is actually a set of solutions, namely the set of ALL solutions of the Differential Equation. Often the general solution will be a linear combination of several functions involving some arbitrary constants.

Now,

The solution is:

y(t)=Ce^(-2t)+15

putting the initial condition, i.e., y(0) = 9.    ( it actually means y(t=0) = 9  )

y(0) = Ce^(0) + 15

9 = C + 15     (since e^0 = 1)

9-15 = C

or,  C = -6

Substituting this in the general solution:

y(t) = -6e^(-2t)+15

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When a diode is reverse-biased and the bias voltage is increased, what will happen to the reverse current will not change.

A diode is a semiconductor device that essentially switches current in a single direction.

While restricting current flow in the other direction considerably, it makes it easy for current to flow in one way.

Because they transform alternating current (ac) into pulsing direct current, diodes are also known as rectifiers (dc).

The type, voltage, and current capability of diodes are all rated.

Anode (positive lead) and cathode, define the polarity of diodes (negative lead).

The majority of diodes only let current flow when anode voltage is provided in the positive direction.

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Complete Question -

(a) A car speedometer has a 5.0% uncertainty. What is the range of possible speeds when it reads 90 km/h? (b) Convert this range to miles per hour. (1 km=0.6214 mi)

a) 94.5 km/h to 85.5km/h

b) 58.7 mi/h to 53.1 mi/h

v = 67.0 km/h

dv/v %  = 5

dv/v = 0.05

dv= 0.05 * 67

dv = 3.35

lowest speed = v- dv

= 67-3.35

=63.65

so upto 1 decimal lowest speed is 63.6

highest speed = v +dv

= 67 + 3.35

= 70.35

so highest  speed  upto 1 decimal = 70.9

lowest speed = 63.6 km/h

= 63.6 * 5/18

= 17.1 m/s ( upto 1 decimal)

highest speed = 70.9 km/h

= 70.9 * 5/18

=19.1 m/s ( upto 1 decimal}

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Answer:

He exceeded the speed limit

Explanation:

[tex]{ \tt{ \frac{38 \times {10}^{8} \: m }{1 \: s} }} = { \tt{ \frac{ \frac{1}{1609} \: mi}{ \frac{1}{3600} \: hr} }} \\ \\ { \tt{ = ( \frac{1}{1609} \times 38 \times {10}^{8} ) \times (3600)}} \\ \\ = 8.5 \times {10}^{9 } \: mih {}^{ - 1} [/tex]

If the sum of forces acting on an object is equal to zero, this does not imply that the object is at rest because it only implies that the moving object is not accelerating.

A force is an agent which when applied to an object, causes a change in state or direction of that object. The sum of forces acting on an object includes the resolution of all the forces acting on that object. The sum of forces acting on an object becomes zero when the resolution of all the forces acting on the object gives zero. An object in this state is said to be at equilibrium.

For example, the force of gravity may be acting on a ball resting on a surface, but the ball doesn't move because the gravitational force acting on the ball is balanced out by the reaction force from the table, hence the ball does not move, it is in a state of equilibrium.

The sum of forces acting on a moving object could also be equal to zero. When force is applied to a moving object, it accelerates (increases in speed), but when the sum of forces equals zero, the object still continues to move at uniform speed. This is in line with Newton's first law of motion, which states that "an object will remain in a state of rest or will continue to move with uniform speed, unless it is acted upon by a force.

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Complete question:

Choose the option that correctly answers and explains the question, "If the sum of the forces acting on an object equals zero, does this imply the object is at rest?" No, because the sum of the forces equalling zero only implies that the object is not accelerating. No, because even if the sum of the forces equals zero, it may have a nonzero component in one direction. Yes, according to Newton's second law, experiencing zero net force is the definition of being at rest. Yes, because Newton's first law implies that objects in motion must be acted on by a nonzero net force.

The independent variable in the given scenario is the presence of carbon dioxide. The correct option is A.

The term "independent variable" means precisely what it seems like. It is a parameter that is independent of all the other variables individuals are attempting to measure.

In mathematical modeling, data techniques, and exploratory sciences, dependent and independent variables are variables. According to the hypothesis, this variable has a direct effect on the dependent variable.

In the given scenario, the temperature of atmosphere is getting changed by the presence of carbon dioxide, so it can be better to say that here, carbon dioxide is independent variable and temperature is dependent one.

Thus, the correct option is A.

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The alpha emissions and beta emissions occur 7 times in this series of decays.

The sum of the mass number and atomic number on both sides of a nuclear equation must be the same. This topic involves two forms of radioactive decay: alpha decay and beta decay. From the initial element with an atomic number of less than two, alpha-decay creates an element with a mass number of fewer than four. There are no changes in the mass number of the element during beta-decay. However, the atomic number rises by one.

235U92→231Th90+4He2

231Th90→227Ra88+4He2

227Ra88→223Rn86+4He2

223Rn86→219Po84+4He2

219Po84→215Pb82+4He2

215Pb82→211Hg80+4He2

211Hg80→207Pt78+4He2

207Pt78→207Au79+0e−1

207Au79→207Hg80+0e−1

207Hg80→207Tl81+0e−1

207Tl81→207Pb82+0e−1

Hence, these seven successive alpha and beta emissions would occur in uranium-235 decay series until it reaches Pb-207.

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If its volume is halved and its kelvin temperature is doubled, assuming the moles of gas does not change, the pressure becomes 4 times.

The equation of state for a fictitious perfect gas is known as the ideal gas law, sometimes known as the generic gas equation.

Although it has some number of restrictions, it is a good approximation for the behavior of numerous gases under various circumstances.

The law of an ideal gas (PV = nRT)

This equation was developed via the experimental labor of several people, particularly Robert Boyle, Jacques A. C. Charles, and Joseph Gay-Lussac, relates the pressure, volume, temperature, and quantity of an ideal gas.

According to ideal gas equation

PV=nRT

Here the Temperature becomes 2T and

and the volume becomes V/2

We get pressure becomes 4 times.

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Car has more inertia, as its mass is greater than the mass of the bike.

Since inertia is related to mass, an object with a larger mass will almost always have orders of magnitude more inertia than an object with a smaller mass. In this case, the motorcycle.

The ability of matter to resist changes in velocity (speed and/or direction) is known as inertia. The first law of motion states that unless an outside force acts on an item, it will continue to move at a certain speed. The characteristic of matter that causes this law to hold true is inertia.

Upon being battered, the mat releases dust. falling forward when abrupt breaks are applied in transit. When the tree is shaken violently, the leaves fall off. Artificial satellites continue to orbit in a circular motion due to inertia.

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An example of kinetic energy is pouring rain.The correct response to this question is (c) pouring rain.

Kinetic energy is the capacity for a moving thing to perform work. An object must be moving in order for it to have kinetic energy. Kinetic energy is measured in joules (J), much like all other types of energy.

There must be some kind of motion that an object goes through for it to have kinetic energy. By taking them as a whole and ignoring any potential "kinetic energy" that their molecules may have, all the other alternatives in this situation are just of stationary objects.

Therefore, an example of kinetic energy is pouring rain.The correct response to this question is (c) pouring rain.

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Multiplying the number of stars in a milky way by the number of galaxies in the universe is how the number of stars in a milky way is compared to the number of galaxies in the universe.

Using the Milky Way model, the number of stars is multiplied in a typical galaxy which is 100 billion by the number of galaxies existing in the universe which is 2 trillion in number. The answer calculated will be absolutely an astounding number. Therefore, there are approximately 200 billion trillion stars existing in the universe.

A hundred billion galaxies exist in the Universe. A galaxy is usually full of stars. Our sun is also a star that just exists as one of at least a hundred billion stars to be present in our own Milky Way galaxy.

To estimate the number of stars in a typical galaxy and it is then multiplied by the number of galaxies estimated in the universe. In general, some galaxies shine visible better or some in an infrared condition which can be taken as an example. There also are estimation hurdles that must be overcome.

Multiplying the number of stars in a milky way by that of galaxies in the universe is how the number of stars in a milky way was compared to the number of galaxies in the universe.

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The percentage of its surface area would be covered by glucose transporters is 100%.

As the cell is nearly spherical, the surface area of a cell with a diameter of 2.0 mm is equal to

A= 4πr^2 = 4 pi 1 x (10^-3)^2= 12.5 x 10^-6 m^2.

The area occupied by glucose transporters is approximately 12 nm^2 or 1.2 x 10^-6 m^2.

So, the %age of area covered by glucose transporters = Surface area of the cell/ Area occupied by glucose transporters= 12.5 x 10^-6 m^2/1.2 x 10^-6 m^2 x 100 = 100%.

Thus, the percentage of its surface area that would be covered by glucose transporters is 100%.

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By using Hooke's Law, the change in length is 2.07 x 10¯³ 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 elasticity can be measured by stress and strain which

e = σ/ε

e = (F/A) / (ΔL/L)

where σ is stress, ε is strain, A is surface area, ΔL is change in length and L is initial length.

From the question above, we know that

e = 200 GPa = 200 x 10⁹ Pa

F = 61 kN = 61000 N

d = 2.6 cm = 0.026 m

L = 3.6 m

Find the surface area

A = πr²

A = π(1/2 . 0.026)²

A = 5.31 x 10¯⁴ m²

By substituting the given parameters, we get

e = (F/A) / (ΔL/L)

200 x 10⁹ = (61000/5.31 x 10¯⁴) / (ΔL/3.6)

ΔL = 2.07 x 10¯³ m

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Answer:

a)

[tex]{ \tt{s = ut + \frac{1}{2} {at}^{2} }} \\ \\ { \tt{s = (7 \times 15) + \frac{1}{2} \times 2.5 \times {15}^{2} }} \\ \\ { \tt{s = 105 + 281.25}} \\ { \tt{s = 386.25 \: m}}[/tex]

b)

[tex]{ \tt{v {}^{2} = {u}^{2} + 2as}} \\{ \tt{ {v}^{2} = {7}^{2} + (2 \times 2.5 \times 386.25)}} \\ { \tt{ {v}^{2} = 1980.25}} \\ { \tt{v = 44.5 \: m}}[/tex]

The average velocity will be more useful if you wanted to know how long it would take you to get to a store and come back.

The overall distance the object covers in a given amount of time is its average speed. The scalar quantity represents the average speed. It does not have direction; it is represented by magnitude.

Average Speed=[tex]\frac{total distance}{total time}[/tex]

Average velocity is a vector quantity. The change in position or displacement divided by the time periods during which the displacement happens is known as average velocity. Depending on how the displacement is displaced, the average velocity may be positive or negative. Meters per second (m/s), the SI unit of average velocity, is used.

Average Velocity=[tex]\frac{Total displacement}{Total time}[/tex]

So, in average speed no particular direction is given there can be multiple ways to go to the store and come back so average speed can be different every time.

But in case of average velocity there must be particular shortest route that is known as displacement and that would give an accurate time to go to the store and come back

Hence, average velocity is more useful as compared to average speed.

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If a sheet of aluminum foil is held in front of a radioactive source. Two types of radiation are detected on the other side. The alpha particle radiation will not be detected.

The ability of some unstable atoms to emit nuclear radiation spontaneously, typically in the form of alpha or beta particles frequently accompanied by gamma rays, is known as radioactivity.

As given in the problem statement, if a sheet of aluminum foil is held in front of a radioactive source. Two types of radiation are detected on the other side, then we have to find which type of radiation will not be detected on the other side.

When a radioactive source is in front of a sheet of aluminum foil. On the opposite side, radiation of two different sorts is seen. There won't be any indication of alpha particle radiation.

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Answer:different parallel, straight paths. Each car's velocity as a function of time is shown in the graph. Which of the following claims is correct

about car X and car Y?

Both car X and car Y travel in the same direction.

Explanation:

Answer: +17 m/s ==> option 4

Explanation:

4 km + 8 km + 8.9 km=

12+8.9=20.9 km

1 km=1000 m

20.9 km * 1000 m/1 km=

20.9 * 1000/1=

20.9 * 1000=20900 m

1 min = 60 sec

20 min * 60 sec/1 min=

20*60/1=

20*60=1200 minutes

20900/1200=

209/12=17.4

17.4=+17 m/s ==> option 4

Answer:200N,  

Explanation:

the hammer exerts a force nail, then the nail will exert a force of equal magnitude and opposite direction back on the hammer.

The nail put back a force of 200 N on the hammer in opposite direction.

An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. The application of force is the location at which force is applied, and the direction in which the force is applied is known as the direction of the force.

Given that; hammer puts a force of 200 N on a nail.

According to Newton's Third Law of motion, every action has equal and opposite reaction.

So, the nail put back a magnitude of 200 N force on the hammer in opposite direction.

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The reason why the micropipette must be calibrated with oleic acid solution and not with water is that Oleic acid can spread out unlike water. Hence, the drop volume will be different skewing the volume.

Oleic acid does have the characteristic of spreading out across a monolayer with a measurable thickness. Water, on the contrary hand, contains a variety of drop sizes, which skews the volume and thus affects the calibration. Because of this, oleic acid is recommended.

Water repels the non-polar chain (it is hydrophobic), while water attracts the polar end (hydrophilic). A very dilute oleic acid solution in pentane shall be used. The pentane evaporates quickly, leaving behind a thin layer of plain oleic acid.

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The concentration of the fully deprotonated glycylglycine 100 mm solution at ph 9.0 is 8.8mM.

In an acid-base process, deprotonation (or dehydronation) refers to the removal (transfer) of a proton (or hydron, or hydrogen cation), (H+), from a Brnsted-Lowry acid.

The formula that can be used in this context:

pH = pKa2 + log base/acid

9.0 = 8.13 + log deprotonated/ protonated

0.87 = log [deprotonated] / [protonated]

[deprotonated] / [protonated] = 10^0.87 = 7.4 → 1

Here we have been provided that,

Ct = the provided total concentration of glycylglycine = 100mM

so, Ct = [deprotonated] + [protonated]

100mM - [deprotonated] = [protonated]

Thus, setting up the values in equation 1, we have

[deprotonated glycylglysine ] / 100mM - [deprotonated] = 7.4

⇒ [deprotonated glycylglysine ] = 7.4 [100mM] - 7.4[deprotonated]

⇒ [fully deprotonated] = 7.4 [100mM] / 8.4

= 88.09 mM

≈ 88mM

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The symbol of the ion having 12 protons and 10 electrons would be Mg²⁺ , therefore the correct answer is option A.

An atom's atomic number is determined by the total number of protons it contains. Both the number of neutrons and the number of electrons contained inside an atom have no connection to the atomic number.

We must determine the symbol for the ion with 12 protons and 10 electrons according to the problem.

As is well knowledge, the magnesium atom, symbolized by Mg2+, contains 12 electrons and 10 protons.

Thus, the correct answer is option a.

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[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

According to snells law :

[tex]\qquad \sf  \dashrightarrow \: n_1 ×sin \: i = n_2 \times sin \:r [/tex]

[ n corresponds to the refracting index of a medium ]

now, as we know :

Now, let's proceed according to the formula ~

[tex]\qquad \sf  \dashrightarrow \: 1 \times \sin(40 \degree) = 1.33 \times \sin(r) [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sin(r) = \cfrac{1 \times sin \: r}{1.33} [/tex]

[ sin 40° = 0.6428 ]

[tex]\qquad \sf  \dashrightarrow \: \sin(r) = \cfrac{0.6428}{1.33} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sin(r) \approx \cfrac{1}{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: r \approx 30 \degree[/tex]

Hence, the angle of refraction is equal to 30°