If you are using the 10x objective of a compound light microscope, what would be the final magnification?.

The total distance travelled by the car is 174 m

Average speed is the total distance travelled by an object per total time taken. It is measured in m/s

Given that a car initially traveled at 20 m/s accelerate at 3 m per second squared for a period of 6 seconds. The total distance travelled can be calculated by the use of below formula.

S = ut + 1/2 at²

Where

Substitute all the parameters into the formula

S = 20 × 6 + 1/2 × 3 × 6²

S = 120 + 1.5 × 36

S = 120 + 54

S = 174 m

Therefore, the total distance travelled by the car is 174 m

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If an Olympic competitor ran the 100-meter dash in 9.49 seconds, that would be faster than 37 kilometers per hour.

Speed is the overall distance an object travels in a given amount of time. It is solely based on the size of the moving object.

If an Olympic competitor ran the 100-meter dash in 9.49 seconds, as stated in the problem,

Speed  =100 / 9.49

             =10.53 meters / seconds

The speed of the athlete in kilometers/hr = 10.53×3600/1000

                                                                  =37.93 kilometers / hour

Thus, his speed would have exceeded 37 kilometers/hour during the race.

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Answer:

See sketch below

Explanation:

Displacement = 0

Total distance = 12 m

The numerical value for the magnitude of the tire's forward momentum is 96 kg m/s.

Momentum is the measurable quantity of movement in a body or object and is used in science to define the quantity of motion.

Momentum if determined from the product of mass and velocity of a body.

P = mv

where;

The numerical value for the magnitude of the tire's forward momentum is calculated as follows;

P = 12 kg x 8 m/s

P = 96 kg m/s

Thus, the numerical value for the magnitude of the tire's forward momentum is 96 kg m/s.

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Rubbing a balloon through dry hair gives the balloon a negative electric charge.

What exactly is static electricity, and how does it affect balloons?

Electrons are transferred from the hair or wool to the balloon by rubbing the balloon against it. The balloon gains a net negative charge due to the electrons negative charge.

Which charge results from dry hair rubbing an air balloon?

Negative electrons are transferred from the hair to the balloon by rubbing a balloon against the hair. The balloon pulls the hair with an alluring electric force as it is released.

The atoms and molecules in your hair transfer their electrons to the balloon when you rub it against your head. Due to the negative charge of electrons, the balloon acquires a negative charge, while your hair retains a positive charge.

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With the concept of Dalton's law of Partial Vapour Pressure we know that  the partial pressure of gas j is 1.05 atm and that of gas k is 0.7 atm.

Dalton's law or the law of partial vapour pressure states that the total pressure exerted by a mixture of gases is equal to the sum of the partial pressures of the gases in the mixture. The partial pressure is the pressure that each gas would exert if it alone occupied the volume of the mixture at the same temperature

Here in the question, we have a balloon that contains a mixture of two gases j and k.

The no. of moles of gas j are, Nj = 6 moles.

The no. of moles of gas k are, Nk = 4 moles.

Total no. of moles of the gas mixture are, Nt = 10 moles.

Total pressure of the gaseous mixture is, Pt = 1.75 atm.

Now, according to the Dalton's law of partial vapour pressure,

The partial vapour pressure of gas j and gas k respectively will be given by,

Pj = Xj × Pt

Pk = Xk × Pt

Where Xj and Xk are the mole fractions of gases j and k respectively which are given by,

Xj = Nj / Nt

Xk = Nk / Nt

So,

Xj = 6/10 = 0.6

Xk = 4/10 = 0.4

Now,

Pj = 0.6 × 1.75

Pj = 1.05 atm

Pk = 0.4 × 1.75

Pk = 0.7 atm

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The average velocity between t=5 and t=5.3 262.4 m/s

The distance fallen s = 16t^2

The velocity v = [tex]\frac{d_{s} }{d_{t} }[/tex] = 32t

When we apply the values of t to the velocity v, we get

V1 = 32 x 8 = 256 m/s at time t = 8 seconds.

V2 = 32 x 8.4 at time 8.4 equals 268.8 m/s.

(V2 - V1)/2 = (268.8 + 256)/2 = 262.4 m/s is the average speed.

The concept of velocity refers to the rate and direction of motion of a point. For instance, the orientation of a circular path is always perpendicular to the line that connects a point to the centre of the circle. A point always advances down a route that is perpendicular to it (a radius).

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The force required to stop a 1000 kg Ferrari in 50 m that is traveling at 30 m/s is 17.96 KN

v = d / t

a = v / t

F = m a

v = Velocity

d = Distance

t = Time

a = Acceleration

F = Force

m = 1000 kg

s = 50 m

v = 30 m / s

t = 50 / 30

t = 1.67 s

a = 30 / 1.67

a = 17.96 m / s²

F = 1000 * 17.96

F = 17.96 KN

According to Newton's second law of motion, Force required to move an object is directly proportional to the acceleration of the object.

Therefore, the force required to stop a 1000 kg Ferrari is 17.96 KN

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The velocity of the car after acceleration is 80m/s.

To calculate the velocity of the car after acceleration, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the velocity of the car after acceleration is 80m/s.

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A ball is thrown down from a bridge at time t = 0 and strikes the water below. Assuming upward is the positive direction. The option D of the following graphs best shows the velocity of the ball after it is thrown.

Velocity is a term defines that a particles covered distance upward positively and downward negatively in a constant time. It is a vector quantity.

According to the question, assuming upward is the positive direction body is thrown downwards so there is an initial velocity in that particle who's velocity is downwards or negative in other words.

So we are using the law, v=u+at

Here we know u is negative from the above discussion and there is also a is negative. where a means the acceleration due to gravity. So it acting downwards so its also negative.

Now the equation becomes,

v=(-u)-at

Or, v=-u-at

So from the above discussion, we can assume that the graph would be like the option D of the question. which is downwards in nature.

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The zone in the map that has the greatest amount of land area suitable for people to live is zone B.

The equator is the imaginary line that divides the earth horizontally into two equal halves of North and South zones.

The countries that are located close to the equator include the following:

Ecuador, Colombia,

From the map, the zone with the greatest amount of land area suitable for people to live is the zone closest to the equator which is zone B.

The temperature of these areas are close to moderate through out the year.

The zone B also contains land mass that is part of the largest continent which is Asia.

Therefore, the zone in the map that has the greatest amount of land area suitable for people to live is zone B.

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Explanation:

Atmospheric pressure decreases with increase in altitude,as we go higher the pressure within the blood vessels exceeds the outside pressure. This causes the blood vessels to rupture. As a result, a mountaineer suffer nose bleeding, ear bleeding etc.

The height is 31.61 m of the building in which ball thrown horizontally.

Calculation :

x(t) = x₀ + v₀t +(1/2) a₀t²

once the ball is thrown it immediately starts falling

so h = (1/2)gt²   where g is the gravitational acceleration

t =d/v

d = 36 meters

v= 14.2 m/s

so t = 2.54 seconds

plugging t into h =(1/2)gt²

g = 9.8 m/sec²

h = (1/2)(9.8)(2.54)2 = 31.61 meters

What are components of motion?

What Are the Three Laws of Motion of Newton The Law of Inertia, the Law of Mass and Acceleration, and the Third Law of Motion are Newton's three laws of motion. A body in motion continues to move in a straight line whereas a body at rest stays in its state of rest unless some external force acts to change it.

The phenomenon of an item changing its location with respect to time is known as motion in physics. Mathematically, displacement, distance, velocity, acceleration, and speed are used to explain motion.

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The density of gold is 19.38 g/cm³.

We need to know about the density to solve this problem. Density is a unit that measures how dense an object is. Density can be measured by dividing mass by volume. It can be written as

ρ = m / V

where ρ is density, m is mass and V is volume

From the question above, we know that

m = 15.7 grams

V = 0.81 cm³

By substituting the following parameters, we can calculate the density

ρ = m / V

ρ = 15.7 / 0.81

ρ = 19.38 g/cm³

Hence, the density of gold is 19.38 g/cm³.

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The distance around the rectangular field is 128.88 m.

Perimeter is the total distance around an object.

To calculate the perimeter/ total distance around the rectangular field, we us the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the distance around the rectangular field is 128.88 m.

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Answer:

920 kg / m^3 * .725 m^3 = 667 kg        = mass of ice

1000 kg / m^3 * .725 = 725 kg     maximum amount of water displaced

725 - 667 = 58 kg      maximum mass that ice can support

Note 58 * 2.2 = 128 lb    equating kg vs equivalent "weight" in lbs

From all the mentioned options only blood samples aren't strict evidence while all the others help significantly towards the case and are considered to be part of evidence by the federal database.

All statements which the Court permits or requires to be made before it by witnesses, in relation to matters of fact under inquiry, such statements are called oral evidence ,all documents including electronic records produced for the inspection of the Court such documents are called documentary evidence.

Now from given options we will look into each one -

1) bullet casing

Yes bullet casing is a part of evidence as it tells which gun was used in the act.

2)Vehicle identification

Yes it is also part of evidence it directly points to the person of the crime.

3) DNA sample

Yes this to is very useful in identifying the person of crime.

4) Blood sample

No, Blood sample though provides data but doesn't point to the crime act.

While all the rest are also part of evidence as they also did it towards the crime and help in providing solid judgment in the case.

Therefore, from all the mentioned options only blood samples aren't strict evidence while all the others help significantly towards the case and are considered to be part of evidence by the federal database.

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The momentum of the body is obtained as 10800 Kgm/s.

The momentum of the body could be obtained from the equation given as; p=mv

p = momentum

m = mass of the body

v = velocity

m = 1200-kilogram (kg)

v =  9 meters per second (m/s)

p = 1200-kilogram * 9 meters per second

p = 10800 Kgm/s

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The speed of 75 km/h expressed in:

To solve this problem the we have to convert the units with the given information.

Information about the problem:

By converting the velocity units from (km/h) to (m/s) we have:

v = 75 km/h * 1000 m/ 1km * 1 h/3600 s

v = 20.83 m/s

By converting the velocity units from (m/s) to (mi/h) we have:

v = 20.83 m/s * 1 mile/1609.34 m * 3600 s/ 1h

v = 46.59 mi/h

It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.

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The calculated height is 4.60 m

A projectile is an object that is launched into the air and then moves only in response to the acceleration of gravity. The trajectory of the object is referred to as the projectile's path. Along the x- and y-axes, we must also locate their constituent parts. We'll suppose that all forces, save gravity, are insignificant. Examples include friction and air resistance. So, the formula for acceleration is relatively straightforward:

g=9.80 m/s.

mass= 3kg

velocity= 9.5 m/s

E=1/2* mv² (kinetic energy)

= 1/2 * 3* (9.5) ²

=135.3 J

E=mgh (Potential energy)

135.3 J = 3*9.8*h

h=4.60 m

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29.94 mL of diluent is needed to make 30 milliliters of a 1/500 dilution of urine in water.

The dilution factor (or dilution ratio) expresses how much of the original stock solution remains in the entire solution following dilution. It is frequently expressed as a ratio. The dilution factor in the question is 1/500.

To calculate the diluent, the ratio of the diluent must also equal the ratio the original solvent. Hence, if the total volume is 30 mL it must have the same ratio has the 1/500 dilution

1/500 = x/30

X = 0.06 mL

If only 0.06 mL of the 30 mL is urine, then the (30 mL - 0.06 mL) = 29.94 mL is the diluent.

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If you connected the two wires end-to-end what would the resistance of the total length be R₁ +R₂ as it is a series circuit

What are series circuits?

In circuit . A circuit comprises a path along which the whole current flows through each component. A shunt circuit comprises branches so that the current divides and only part of it flows through any branch

What is the resistance in series?

In a series circuit, the entire resistance across all of the components (the 'net resistance') increases as more components are added. the 2 resistors have the same current through them. The electric potential across them will be different if they have different resistances.The total resistance of a series circuit is equal to the sum of individual resistances." during a series circuit you will need to calculate the total resistance of the circuit in order to figure out the amperage. this is often done by adding up the individual values of each component in series.

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The symbol of the element Potassium is K, its proton number is 19, its atomic mass is 39, its electron number is 19 and finally Potassium belong to period 4 of the periodic table.

This is defined as a substance cannot be further broken down by any chemical reaction and examples include oxygen, nitrogen etc.

Potassium is an element and has an atomic number of 19 with a mass number of 39 and is present in period 4 in the periodic table.

For all atoms with no charge, the atomic number is equal to the number of proton. The number of proton is also equal to the number of electron which is why they all have the same value of 19.

Neutron = atomic mass - atomic number

                = 39 - 19 = 20

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Answer:

B. It is invisible to astronomers.

Explanation:

Most of the mass in the universe exists in the form of dark matter, which is invisible to astronomers.

Answer:

Stars move in a direction opposite that of earth because they remain relatively fixed compared to the motion of the earth,

The moon moves in a direction similar to earth because the moon is moving in the same direction as the earth, but in a faster rotation.

The above motions are constant.

Venus is only visible at a relatively small elevation above the horizon at sunrise or sunset because Venus is closer to the sun than the earth - one can never see Venus overhead because Earth would completely block light from the sun from reaching Venus.

Distance from this particle does its electric field has a magnitude of 14.0 n/c is 1.63m.

The force operating on a charged body of unit charge placed at that spot is the electric field resulting from a point charge at that location. The external work required to move a unit charge against an electric field by an infinitesimally small distance without experiencing any acceleration is known as the electric potential due to a point charge.

The force that exists between two different electric charges is the subject of Coulomb's law. The basic idea behind an electric field states that an electric charge changes the environment around it by creating an electric field.

[tex]E=kq/d^2[/tex]

E=14N/C

[tex]14=kq/d^2[/tex]

[tex]d^2=(9\times10^9)(5.05\times10^{-9})/14[/tex]

[tex]d^2=\sqrt{(9\times10^9)(5.05\times10^{-9})/14}[/tex]

d=1.63m

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A meter movement coil has a resistance of 50 ohms and a full-scale deflection is achieved by 0.001 amperes. the total applied voltage to achieve full scale deflection is 3950 Ω.

galvanometer, instrument for measuring a small electrical current or a function of the current by deflection of a moving coil. The deflection is a mechanical rotation derived from forces resulting from the current. Principle of working of a Galvanometer: It works on the principle of torque acting on a current carrying coil inside a magnetic field. The torque acting on this coil is directly proportional to the magnitude of electric current flowing in it.

Given:   R

G =50Ω              

I g =5mA=0.005A          V=20 volts

A galvanometer is converted into a voltmeter by connecting a resistor in series with resistance of galvanometer.

Let the resistor to be connected in series with R G be R.

∴    V=I

g (R G+R) Or     20=0.005(50+R)

⟹   R=4000−50

=3950Ω

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The calculated refractive index is 1.38≤n≤1.67.

Thus, through the refractive index n, the wavelength inside the medium and the wavelength in free space are connected.

n=λ/λ₀

The wavelength of red light in free space ranges from 620 nm to 750 nm. To human eyes, each of those wavelengths appears red. Refractive index is given by

n1 =620 nm/450 nm

=1.38

and n2=750 nm/450 nm

=1.67 in the equation above.

According to the details you provided, the refractive index might be any value between 1.38 and 1.67.

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Answer:

P V = N R T           ideal gas formula

P2 V2 = N R T2

P1 V1 = N R T1

Dividing equations at constant pressure

V2 / V1 = T2 / T1 = 8       the volume would increase by a factor of 8