Are masks effective in slowing the spread of COVID-19? In a few sentences, make a hypothesis and design and describe an experiment on how you could TEST this yourself using common household materials.

1.60×10⁻¹⁹ charge on the electron by studying the static charges on oil drops falling in an electric field

Solving :

Look at the charge differences between the droplets :

A->B: 1.55 x 10⁻¹⁹C

B->C: 1.66 x 10⁻¹⁹C

C->D: 1.501 x 0⁻¹⁹C

The charge difference between the droplets is essentially the same from one droplet to the next. This must mean that there is a one particle difference between each drop (i.e. one additional electron for each drop)

On average, the charge difference is 1.55 x 10⁻¹⁹C, which is very close to the currently accepted value of 1.60 x 10⁻¹⁹C.

What was the aim of Millikan's oil drop experiment?

The Mil likens Oil Drop Experiment was an experiment performed by Robert A. Millikan and Harvey Fletcher in 1909 to live the charge of an electron. This experiment proved to be very crucial within the physics community.

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The direction of the car will not change and the speed of the car at time of 2 seconds will be 4 m/s.

The size of the change in an object's position over time or the size of the change in that object's position per unit of time makes the speed of an object, also known as v in kinematics, a scalar number. The instantaneous speed is the upper limit of the average speed as the duration of the time interval gets closer to zero. 

According to the question,

Initial Speed, u is 12 m/s,

Time, t at 2 seconds and,

acceleration is -4 m/s².

Now by using Equation of motion :

v=u+at

v=12+(- 4 m/s²)(2 sec)

V=12-8

V= 4 m/s.

Hence, the speed of the car will be 4 m/s at time 2 seconds and the direction of the car will not change.

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The drag force on the prototype balloon is - 405 km/hr .

Given:

2-m- = diameter satellite dish

81-km/hr = Y

0.4-m- = diameter model dish.

Reynolds number is essential for this, thus,

Vm Dm/vm = VD/v

(D is the diameter of the dish)

Vm = (vm/v) (D/Dm) Y

and if vm/v = 1, then

Vm = (2/0.4) (81)

= 405 km/hr

Thus, the correct answer is - 405 km/hr

A mechanical force is drag. It is created when a solid body interacts with and contacts a fluid (liquid or gas). It is not produced by a force field in the sense of a gravitational field or an electromagnetic field, in which two objects can interact without coming into touch with one another.

Take the drag on a ship going through the water or the drag on a plane flying through the air. Consequently, a drag force is the resistance force brought on by a body moving through a fluid like air or water.

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Both the trichromatic and opponent-process theories are valid in explaining colour vision in humans.

According to the trichromatic theory, our ability to perceive red, green, and blue hues as well as the cones' ability to change the neuronal activity ratio when different colors are present (Like a projection T.V.). The precise hue that we see is therefore determined by the ratio of each color to the others.

This hypothesis was developed as a result of color mixture tests in which it was discovered that a combination of three primary colors could match any hue. In the latter part of the seventeenth century, Newton's studies of light and colors sparked the first scientific interest in color.

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The speed of the river is 0.5 Km/hr

Let X be the speed of the boat.

Let Y be the speed of the river.

Downstream speed

X - Y = 4

Upstream speed

X + Y = 5

By solving, we get

2X = 9

X =  4.5 Km/hr

Y =  0.5Km/hr

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the maximum size of fuse permitted in a single phase is 18.75 ampere.

POWER = amount of energy transferred per unit time.

Power = voltage x current

power = 4500 volt-ampere

voltage = 240 volt

current = power/voltage

       = 4500/240

      = 18.74 ampere

the maximum size of fuse permitted in a single phase is 18.75 ampere.

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The tension force would be 7.62N. Its angle of equilibrium would be 70.23°

For equilibrium,

for direction X,

Tcos([tex]\theta[/tex]-36.87°) = 8cos (36.87°) → 1

For direction Y,

9 = 8sin36.87° + Tsin([tex]\theta\\[/tex]-36.87°)

Tsin([tex]\theta\\[/tex]-36.87°) = 9- 8sin(36.87°) → 2

Now dividing equation 2 by 1,

tan([tex]\theta\\[/tex]-36.87°) = [tex]\frac{9-8*3/5}{8*4/5}[/tex]

tan([tex]\theta\\[/tex]-36.87°) = 0.66

[tex]\theta\\[/tex] - 36.87°= [tex]tan^{-1}[/tex](0.66)

[tex]\theta\\[/tex] - 36.87° = 33.42°

⇒ [tex]\theta[/tex] = 40.29°

Now from equation 1,

Tcos(33.42°) = 8cos(36.87°)

T = [tex]\frac{8*4/5}{0.84}[/tex]

T = 7.62N

Thus, we get the tension force as 7.62N

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Using dimensional analysis; L²/T⁴ = 2 * L²/T⁴

Thus, v² = u² + 2as is dimensionally correct.

Dimensional analysis is the process whereby the various quantities of measurement are expressed in their basic unit or the fundamental units from which they are derived.

The fundamental units which are used in dimensional analysis is done is:

To check if v² = u² + 2as is dimensionally correct:

unit of v = m/s = L/T

unit of u = L/T

unit of a = L/T²

s = L

(L/T)² = (L/T)² + L * L/T²

L²/T⁴ = L²/T⁴ + L²/T⁴

L²/T⁴ = 2 * L²/T⁴

The expression, v² = u² + 2as is dimensionally correct.

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The function of wavy water is  D(t) = 33.5 +21.5cos(2π/3·(t -1.1))

In quantum physics, a wave function is a mathematical representation of the quantum state of a standalone quantum system. The probabilities for potential outcomes of measurements performed on the system may be calculated from the wave function, which is a complex-valued probability amplitude.

The function can be ...

 D(t) = A +Bcos(C(t-p))

where A is the average depth (55+12)/2 = 33.5 cm,

 B is the peak deviation from average, 55 -33.5 = 21.5 cm,

 C is the horizontal scale factor (2π/T) = (2π/3) for a period (T) of 3 seconds,

and p is the phase offset, given as 1.1 seconds.

the function -

 D(t) = 33.5 +21.5cos(2π/3·(t -1.1))

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The​ particle's velocity at as a product of its speed and direction is equal to 10 . [tex](\frac{8}{10},0,\frac{6}{10} )[/tex]

Velocity is the directional speed of a moving item as an indication of its rate of change in position as seen from a specific frame of reference and measured by a specific time standard (e.g., 60 km/h northbound). The idea of velocity is crucial in kinematics, the part of classical mechanics that explains the motion of bodies.

A physical vector quantity called velocity requires both magnitude and direction to be defined. Speed is a coherent derived unit that expresses the scalar absolute value (magnitude) of velocity. Its quantity is expressed in SI units (metric system) of metres per second (m/s or ms1). For example, "5 meters per second" is a scalar while "5 meters per second east" is a vector.

The particle's velocity is the derivative of its position. The particle's acceleration is the derivative of its velocity. You can calculate the velocity and acceleration as follows:

[tex]\vec{v}(t)=\frac{d r}{d t}=\frac{d}{d t}(8 t+5) \vec{i}+\frac{d}{d t}\left(8 t^2-2\right) \vec{j}+\frac{d}{d t}(6 t) \vec{k}=8 \vec{\imath}+16 t \vec{j}+6 \vec{k}[/tex]

[tex]\vec{a}(t)=\frac{d v}{d t}=\frac{d}{d t}(8) \vec{i}+\frac{d}{d t}(16 t) \vec{j}+\frac{d}{d t}(6) \vec{k}=0 \vec{i}+16 \vec{j}+0 k[/tex]

The velocity at t = 0 is  [tex]\vec{v}(0)=8 \vec{i}+0 \vec{j}+6 k[/tex]

if the speed at t = 0 is [tex]||\vec{v}(0)||[/tex] = 10 then the velocity at t = 0 can be written as a product of the speed at t = 0 & the direction at t = 0 is

[tex]\vec{v}(0)=\|\vec{v}(0)\| \frac{\vec{v}(0)}{\|\vec{v}(0)\|}=10 \cdot\left(\frac{8}{10}, 0, \frac{6}{10}\right)[/tex]

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Full question

The equation r (t) = (8t + 5)i + (8t^2 - 2)j + (6t )k is the position of a particle in space at time t. Find the​ particle's velocity and acceleration vectors. Then write the​ particle's velocity at t equals 0 as a product of its speed and direction. What is the velocity​ vector?

The distance traveled is mathematically given as

D = 766.7 m

The airplane's horizontal velocity was measured to be 170 meters per second.

100 meters is the equivalent of the distance above the earth.

Generally, the equation for distance is  mathematically given as

s = u_0t + (1/2) g t2

then, we get

(100 m) = (0.5) (9.8 m/s2) t2

[tex]t = \sqrt{(100 m*4.9 m/s2)}[/tex]

t = √20.4 s2

t = 4.51 sec

we know that,

D = vx t

D= (170 m/s) (4.51 s)

D = 766.7 m

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An electromagnet different from other magnets as it is powered by electricity.

An electromagnet is a type of magnet where an electric current creates the magnetic field. The wire that makes up an electromagnet is typically twisted into a coil. A magnetic field is produced by a current flowing through the wire and is concentrated in the hole, designating the center of the coil.

Electromagnets have a few drawbacks, including the fact that they heat up quickly and waste a lot of electrical energy as a result. The steady magnetic field must be maintained for a continuous power supply.

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Answer:

Work done = 81 Nm

Explanation:

To calculate the work done by a force, we can use the following formula:

[tex]\boxed{\mathrm{Work \: done = \: Force \times Distance \: moved \: in \ direction \: of \: force}}[/tex].

In this question, we are told that the woman applies a force of 27 N to pull a trolley 3.0 m along an aisle. Using this information, as well as the formula above, we can calculate the work done:

Work done = 27 N × 3.0 m

                   = 81 Nm

Therefore, 81 Nm (or 81 Joules) of work was done pulling the cart from one end of the aisle to the other.

The force between two masses when the distance between those two masses is increased by a factor of four is 0.5 N

We know that,

F = G [tex]m_{1}[/tex] [tex]m_{2}[/tex] / [tex]r^{2}[/tex]

where,

F = Force

G = Constant

[tex]m_{1}[/tex], [tex]m_{2}[/tex] = Masses

r = Distance between those two forces

Given that,

F = 8 N

When the distance between those two masses is increased by a factor of four,

[tex]F^{'}[/tex] = G [tex]m_{1}[/tex] [tex]m_{2}[/tex] / [tex]( 4r)^{2}[/tex]

[tex]F^{'}[/tex] = F / 16

[tex]F^{'}[/tex] = 8 / 16 = 1 / 2

[tex]F^{'}[/tex] = 0.5 N

Force is a phenomenon which can cause an objects motion to change. It causes an object with mass to change its velocity.

Therefore, the force between two masses when the distance between those two masses is increased by a factor of four is 0.5 N

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Answer:

2m/s²

Explanation:

acceleration it the change in velocity over the time taken

Net vertical displacement vector (in m) in terms of the unit vector is D=−49 j

D=49

What is displacement vector?

A displacement is a vector in geometry and mechanics that has a length equal to the shortest distance between a point P's initial and final positions.

Therefore,

a scuba diver makes a slow descent into the depths of the ocean. his vertical position with respect to a boat on the surface changes several times. he makes the first stop 8.0 m from the boat but has a problem with equalizing the pressure, so he ascends 3.0 m and then continues descending for another 10.0 m to the second stop. from there, he ascends 7.0 m and then descends for 14.0 m, ascends again for 6.0 m and descends again for 12.0 m, where he makes a stop, waiting for his buddy. assuming the positive direction up to the surface ( ĵ), express his net vertical displacement vector (in m) in terms of the unit vector ĵ. (express your answer in vector form.)

D=−49 j

D=49

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J. J. Thomson used a cathode-ray tube to calculate the charge-to-mass ratio of the electron. The deflection of cathode rays towards the positively charged surface and emission of green light at the far end of the tube confirmed that they are negatively charged particles.

In 1897, J.J Thomson performed a cathode ray tube experiment to determine the charge-to-mass ratio of electrons.

Due to high voltage, a beam of particles was allowed to flow from the negatively charged end to the positively charged end of the tube.

One end of the tube was painted with phosphorous. When electrons struck the wall a green spark was observed which confirmed the presence of negatively charged particles i.e. electrons.

To put it simply, cathode rays came from the cathode tube and deflected towards a positively charged plate showing that they are negatively charged particles.

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Length times width gives the surface area of the pool. Multiplying that by the average depth gives the volume in cubic feet. Since there are 7.5 gallons in each cubic foot, multiply the cubic feet of the pool by 7.5 to arrive at the volume of the pool (expressed in gallons).

Answer:

the answer is volume

Explanation:

The frequency of radiation of the given wavelength is 3.125×[tex]10^{14}[/tex] Hz.

Given λ = 960nm

f=c/λ

f= 3×[tex]10^{8}[/tex]/960×[tex]10^{-9}[/tex]

f= 3.125×[tex]10^{14}[/tex]

A waveform signal's wavelength is defined as the separation between two identical points (adjacent crests) in adjacent cycles as the signal travels through space or along a wire. This length in wireless systems is typically expressed in meters (m), centimeters (cm), or millimeters  (mm).

The wavelength is the separation between two wave crests, while troughs have the same wavelength. The number of vibrations that pass over a specific place in a second is known as the frequency and is expressed in cycles per second (Hz) (Hertz).

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The partial pressure of gas expressed after equilibrium is 409 torr.

What is the partial pressure of gas expressed after equilibrium:

1. Write out the units given.

V1= 1 L

Ptot= 818 torr

PPB= 328 torr

V2= 1L

2. Remember= PaVa= PtotVtot

3. Add together volumes for total volumes.

1 L + 1 L= 2 liters

4. Plug in values and solve for PP of gas A.

PPA= Ptot x VA/Vtot

818 torr x 1/2 L= 409 torr

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The graph shown in the first option shows a reasonable representation of the velocities of the lion and the gazelle as functions of time, therefore the correct answer is option A.

The total displacement covered by any object per unit of time is known as velocity. It depends on the magnitude as well as the direction of the moving object.

As given in the problem if a lion is running at constant speed toward a gazelle that is standing still, as shown in the top figure above.

Thus, the correct answer is option A.

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Ohm's Law is a formula used to determine how voltage, current, and resistance in an electrical circuit relate to one another.

Use Ohm's Law to calculate the following:

a) The voltage required to produce a current of 2A in a 12ohms resistor.

To scientists, Einstein's Relativity equation (E = mc2) is as fundamental as Ohm's Law (E = IR).

E = I x R

The difference in electric potential between two points, which is defined as the work required per unit of charge to move a test charge between the two points, is known as voltage, electric potential difference, electric pressure, or electric tension.

The formula reads voltage = current x resistance, or V = A x, or volts = amps x ohms.

Therefore, Voltage required = 2 * 12 = 24 volts

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Since the gravity acts on the vertical component of the velocity of the object, the bullet will spend 0.34 s in air.

What is Vertical Motion ?

Vertical motion is also known as motion under gravity. The gravity acts on the vertical component of the velocity of the object.

Given that a bullet is fired horizontally 0.58 meters off the ground. Assuming gravity is 9.8 m/s², the gravity will act on the bullet vertically.

Using the formula h = ut + 1/2gt² we can know how long (t) was the bullet in the air.

Substitute all the parameters into the formula

0.58 = 0 + 1/2 × 9.8 × t²

0.58 = 4.9t²

t² = 0.58/4.9

t² = 0.1184

t = √0.1184

t = 0.34 s

Therefore, the bullet will spend 0.34 s in air.

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Answer:

w

Explanation:

Sokol

It would take a fly 11.11 seconds to cover the given distance of 60 meters.

Velocity is a term that describes the speed and direction of a point's motion. The speed at which the point is moving along its path in time is known as the magnitude of the velocity.

Velocity is a vector quantity that cannot be fully described by a number because it has direction in addition to magnitude.

Changes in an object's position are referred to as displacement. Displacement is represented by a vector. This implies that it has both a direction and a magnitude.

Given in the question

Velocity = 5.4 m/s

Distance = 60 meters

Time = Distance/Velocity

Put in the values, we get

Time = 60/5.4 seconds

Time = 11.11 seconds

Therefore, it would take 11.11 seconds for a fly to cover a 60-meter space while traveling at a speed of 5.4 m/s.

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FALSE - Not always.

Machines can do a lot of work, but if they can't do it quickly, they aren't necessarily efficient. In fact, two machines can perform the same task (that is, do the same job), but their power ratings can differ significantly.

We know that machines are man made objects. they work by the instructions given my the people which made them. machines are effective as they can do the work more precisely and effectively but it varies from machine to machine and it  depends on a lot of factors.

Machines can do a lot of work until it is workable and it does not have any malfunctioning once it stops working it is not powerful or efficient

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The correct option is (c) 5m southwest.

A quantity or phenomena with independent qualities for both size and direction is called a vector. The word can also refer to a quantity's mathematical or geometrical representation. Velocity, momentum, force, electromagnetic fields, and weight are a few examples of vectors in nature.

the vector S and E is,

S = -4m j

E = -3m i

the vector is

|S - E| = √(-4)² + (-3)²

|S - E| = 5m

Types of Vectors List

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The time elapse before the bat hits the ball is 0.3 s

Given:

Speed of ball = 40m/s

Speed of bat = 18m/s

Now, let's take the sum of the speed of ball and bat relative to each other.

v = 40 + 18.0 = 58.0 m/s

To calculate the time lapse, use the formula given below.

t = d/v

Here d = 18 m i.e. the initial distance between the ball and the bat

v = 58.0 m/s

After substituting the values we'll get

t = 18/58 = 0.31 s

t = 0.3 s

Hence the time that elapses before the bat hits the ball is 0.3 s.

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