Find a unit vector with a negative i component that is orthogonal to both i + j and i + k.

Answers

Answer 1

The correct answer is ±(- 1/√3, 1/√3, 1/√3)

a=i+j=<1,1,0)

b=i+j=<1,0,1>

c=+<(cos α, cos , cos γ)> are the unit vectors orthogonal to a and b (moving in the opposite direction).

Scalar product c.a=cos α+cos β=0

Similarly c.b=cos α+cosγ =0

c=±<-cos α, cos α, cos α>

The directions in each octant (the 2nd OX'YZ and 8th OXY'Z') are equally inclined to the axis.

cos α=± 1/√3

Thus the answer is ±(- 1/√3, 1/√3, 1/√3)

What is unit vector?

Both magnitude and direction are present in vector units. Sometimes, though, one is simply concerned with the direction and not the magnitude. In this situation, vectors are frequently regarded as having unit length. A scalar coefficient provides the magnitude, and these unit vectors are typically employed to express direction. Unit vector and scalar coefficients can be used to sum a vector decomposition.

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Related Questions

occam's razor states that choose one: a. if two hypotheses fit the facts equally well, choose the one with fewer assumptions. b. the laws of nature are the same everywhere in the universe. c. the universe is expanding in all directions. d. patterns in nature are really manifestations of random occurrences.

Answers

Option a: if two hypotheses fit the facts equally well, choose the one with fewer assumptions.

Occam's razor states that principle of problem solving is that entities should not multiply more than necessary

Occam's Razor is the process of gathering information to make the search for the truth easier. In science, it gets rid of all assumptions that have no bearing on the predictions of the hypothesis. If you have several hypotheses that could explain an observation, it is usually best to start with the simplest one.

Occam's Razor is often at the root of a paradigm shift, where an established theory is replaced by a simpler alternative that also fits the data. For example, Ptolemy's epicycles were replaced by a simpler theory that explained the data without multiplying the elements.

Therefore Option (a) is correct.

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What is the width of the 90 confidence interval for true population proportion if there are 12 successes in a sample of 25?

Answers

width of the 90 confidence interval for true population proportion if there are 12 successes in a sample of 25 is around 0.164

We use the following formula to determine the value of the approximate breadth or margin of error:

width is about equal to z [p (1 - p) / n]

^0.5

Consequently, at a 90% confidence level, the z score can be calculated using normal distribution tables. P = likelihood of success and N = 25 samples. According to the standard distribution tables, z = 1.645 is the value of z at the 90% level. There is a 12 out of 25 chance of success, therefore

p = 12 / 25 = 0.48 As a result, the width is approximately:

width is roughly equal to 1.645 [0.48 (1 - 0.48) / 25]

^0.5

width is around 1.645. (0.0999)

width is around 0.164.

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if the man is moving from a position of 0 m to 6 m in 3 seconds he will move than he would have if he moved from a position of – 4 m to 0 m in 3 seconds.

Answers

His relative speed in the first case will be faster than the second one.

Think about two bodies going in the same direction but at different speeds.

Let x km/hr be the first body's speed.

And the second body moves at a speed of y km/hr.

They are moving at a relative speed of (x - y) km/hr, where x>y.

After then, the time when the two bodies collide equals the distance travelled divided by the relative speed, or dkm/(x - y) km/hr.

We now understand that an object's relative speed is its speed in relation to another object.

Therefore, if the time after which both bodies move is provided, let's assume that time = t hours.

Distance travelled in t hours is then calculated as follows: (x - y) km/hr * t hrs.


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Perform the following multiplication and write the product in trigonometric form. write the magnitude in exact form. write the argument in radians and round it to two decimal places if necessary.

Answers

The magnitude of →PQ is represented symbolically as | →PQ |. The Distance Formula can be used to determine a vector's magnitude if its start and end points' coordinates are known.

What is magnitude ?

The magnitude or size of a mathematical item defines whether it is larger or smaller than other objects of the same kind in mathematics. Formally speaking, the size of an object is the outcome of the class of objects it belongs to being ordered (or ranked) and shown.

Magnitude in physics can be interpreted as either a quantity or a distance.

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how many millicoulombs (mc) of charge is stored in a 152 µf capacitor when 150 v is applied to it? 1μf

Answers

The charge stored in capacitor is 22.8 mC.

We need to know about capacitors to solve this problem. Capacitor is a device that stores electric charge. The charge stored in capacitor can be determined as

Q = C . V

where Q is charge, C is capacitance and V is voltage.

From the question above, we know that

C = 152 µF = 152 x 10¯⁶ F

V = 150 V

By substituting the following parameters, we can calculate the charge

Q = C . V

Q = 152 x 10¯⁶ . 150

Q = 0.0228 C

Convert to millicoulombs

Q = 0.0228 C

Q = 0.0228 x 10³ mC

Q = 22.8 mC

Hence, the charge stored in capacitor is 22.8 mC.

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The passage of a current of 0.750 a for 25.0 min deposited 0.369 g of copper from a 4 solution. from this information, calculate the molar mass of copper.

Answers

The passage of a current of 0.750A for 25.0 min deposited 0.369 g of copper from a solution. From this information, the molar mass of copper is 63.3u.

How to calculate the molar mass of copper?

First we will convert the time from mins to sec,

Hence,

Time = 25min = 25*60 sec

Current = 0.75A

Electricity passed is given by:

[tex]Q=I\times T \\Q=0.75 \times25\times60\\Q=1125C[/tex]

The reaction that will take place is:

[tex]Cu^{2+}+2e^_- } \rightarrow Cu[/tex]

Hence, there are 2 atoms of copper.

We know, Faraday's number is 96500, and as there are 2 atoms of copper, therefore, the value of Z = 96500*2.

We are given that the deposited mass is 0.369g

Hence, the molar mass of copper will be:

[tex]M=\frac{2\times 96500 \times 0.369}{1125}=63.3u[/tex]

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if the water in a lake is everywhere at rest, what is the pressure as a function of the distance from the surface?

Answers

The pressure as a function of the distance from the surface is 101325 + 10055.25h

One must go h = 10.1 m down before the pressure is 1 atm greater than the pressure at the surface.

What are the pressure and absolute pressure?

In order to determine absolute pressure, a complete vacuum is used. In contrast, gauge pressure is the amount of pressure that is measured in relation to atmospheric pressure, also referred to as barometric pressure. The average barometric pressure at sea level is 14.7 PSIA, while the absolute pressure of a complete vacuum is 0 PSIA.

The pressure at sea level =  1 atm = 101325 Pa

Density of sea water = 1025 kg/ m^(3)

Pressure due to fluid height = pgh

Absolute pressure = 101325 + 1025(9.81) h

= 101325 + 10055.25h

where h= 0 at sea level at increases downward

101325 = 1025(9.81)h

h = 10.1 m

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The complete question is:

"If the water in a lake is everywhere at rest, what is the pressure as a function of distance from the surface? The air above the surface of the water is at standard sea-level atmospheric conditions. How far down must one go before the pressure is 1 atm greater than the pressure at the surface?"

One of the pieces of evidence supporting energy quantization was the line spectra of elements. Why does this demonstrate energy quantization?.

Answers

The line spectra supports the quantization of energy, because there are sharp emission lines demonstrating discrete energy levels.

What is emission of radiation by elements?

When an element emits energy in the form of radiation, it produces a spectrum of colors on a photographic plate.

This spectrum can either be continuous or discrete.

In continuous spectrum the spectrum continues without any discrimination between two regions.

Also, the line spectrum consists of discrete and sharp lines, which shows the emission of radiation in a certain amount in a certain time, with a break between emission.

Thus, the line spectra supports the quantization of energy, because there are sharp emission lines demonstrating discrete energy levels.

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I already did the first slide but its there to just give you an idea

Answers

Answer:ok

Explanation:ok

A moving average can be used to smooth:__________
1) cyclical variation
2) seasonal variation
3) irregular variation
4) all responses are correct

Answers

A moving average can be used to smooth:3) irregular variation

What is irregular variation ?

Irregular with the aid of its call says “wrong”. these are those variations which aren't predictable. They do now not observe some pattern which may be expected. It totally follows in opposition to the rules. It includes the pandemic, endemic, other sicknesses spread, environmental disasters, and irregular variation. greater particularly, floods, earthquakes, draughts, and many others comes under the umbrella of irregular variations.

In time series, we do no longer make any estimation of parameters or speculation checking out. The simplest purpose is to find the versions/trends in facts. this alteration may be everyday or irregular. ordinary variations includes linear, seasonal, and cyclic variations. whereas, abnormal variations are all rest of the variations that aren't blanketed with the aid of the everyday versions. those irregular variations are never predictable. We don't have any facts about the length of this alteration, whether it's miles short time period or long time variation. moreover, irregular variations are stationary variations.

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What make race condition bad? name and briefly desribe two distince factors needed for a race

Answers

when two computer program processes, or threads, attempt to access the same resource at the same time and cause problems in the system and it makes race condition bad.

Which of the following conditions can result in a race condition?

When race conditions develop. When two threads access a shared variable at the same time, a race condition occurs. The first thread reads the variable, and the second thread reads the variable's value. A race condition is an undesirable situation that occurs when a device or system attempts to perform two or more operations at the same time, but the operations must be performed in the correct sequence due to the nature of the device or system.

A race condition is a program condition in which the behavior is dependent on the relative timing or interleaving of multiple threads or processes. One or more of the possible outcomes may be harmful, resulting in a bug. This is referred to as nondeterministic behavior.

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What is the instantaneous velocity of the sloth at time t = 8s?

Answers

The calculated value is AO=3.2sec.

The limit of average velocity as elapsed time approaches zero, or the derivative of x with respect to t: v (t) = d d t x (t), is the instantaneous velocity of an object. v (t) equals d d t x (t). Instantaneous velocity is a vector having a dimension of length per time, similar to average velocity.

In contrast to instantaneous velocity, which is determined by the slope of the tangent line, average velocity is defined as the change in position (or displacement) during the course of transit.

So, we obtain

cosθ= 5/4

= 4AO

So, we obtain AO=3.2sec.

The complete question is- Position-time graph is shown, which is a semicircle from t=2 to t=8 sec. Find time t at which the instantaneous velocity, is equal to average velocity over first t seconds.

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Sara places a cold bottle of water in the sun. after several minutes, she notices that water droplets are collecting on the outside of the bottle. which change of state does this illustrate?

Answers

that water droplets are collecting on the outside of the bottle is due to Melting processes processes

There isn't a single temperature that can be regarded as the melting point of water because the melting point partly depends on pressure. However, for practical purposes, 0 °C, or 32 °F or 273.15 K, is quite close to being the melting point of pure water ice at 1 atmosphere of pressure

ce, water, and gas are all different states of the element water (vapour or gas). Ice, a solid, may melt into water when heated (a liquid). Ice forms when heat is removed from a liquid of water (a solid). We refer to the transformation of water into a solid or gas as a shift in its state of matter.

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Which key difference between carbon and silicon makes carbon better suited to forming molecules for living things?

Carbon has the right number of outer electrons to form a wide range of molecules.

Oxidized carbon is a gas at room temperature, rather than a solid.

Carbon has a greater atomic mass, allowing for stronger molecules.

Carbon is a naturally occurring element, so it is readily available.

Answers

Oxidized carbon is a gas at room temperature, rather than a solid is the difference between carbon and silicon which makes carbon better suited to forming molecules for living things and is denoted as option B.

What is Carbon?

This is referred to an element with as symbol of C and an atomic number of 6. It has four valence electrons and is able to form different types of substances by sharing the electrons with other elements which resulting in the formation of a new product.

It also has the ability to form multiple bonds which makes it unique and is present in nature in the form of gas, solids etc and is used by plants to manufacture food during photosynthesis.

Plants are a major source of food for animals and the oxidized carbon which is carbon dioxide which is a gas at room temperature is the reason why they are better suited to form molecules for living things.

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Answer:

B

Explanation:

the magnitude of the unit is the same between the and scales. they differ in the position of the zero point.

Answers

The magnitude of the unit is the same between the interval and ratio scales. The location of the zero point varies amongst them.

What are interval and ratio scales?

Both interval scales and ratio scales are made up of tangible, uniformly sized units like millimetres or seconds. The difference between three and four seconds, for example, is the same as the difference between four and five seconds since seconds are all the same size.

The distinction between interval and ratio scales is that the former has significant zero points while the latter does not.

How is the interval scale different from the ratio scale?

The data gathered can be added, subtracted, and multiplied on an interval scale. The scale makes it possible to calculate the degree of the difference but not the ratio. A ratio scale allows for division in addition to addition, subtraction, and multiplication. In other words, you can figure out how the values compare.

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how does it take bee to travel 90 miles of she travels a constant speed of 60 mph in her car?

a, 2 hours and 15 minutes
b, 1 hour and 30 minute
c, 1/2 an hour
d, 30 minutes
e, 45 minutes


help pls ​

Answers

Answer:

b

Explanation:

90 miles

60 mph (miles per hour)

1 hour = 60 minutes = 60 miles

90 miles - 60 miles = 30 miles

30 miles = 30 minutes

1 hour and 30 minutes

How many signals do you expect in the broadband-decoupled 13c nmr spectrum of dibp?

Answers

There are 6 expected signals in the broadband-decoupled 13c nmr spectrum of dibp.

The resonances due to 13C nuclei are split by neighbouring  H atoms. These splitting would complicate the appearance of the spectra making them harder to interpret. Therefore, in a "normal" 13C spectra, these couplings are "removed" by applying a continuous second radio frequency signal of a broad frequency range that excites all the H nuclei and cancels out the coupling patterns due to the interaction of the H with the 13C. This means that each C is seen as a single line. Of course information is being lost by doing this, such as how many H are attached to each C.

In off-resonance decoupling the one bond C-H couplings are retained so the signal for a particular C is given by the number of attached H in accord with n+1 rule. So, for example, a -CH3 shows as a quartet and a -CH2- as a triplet.

13C chemical shifts

The most significant factors affecting the chemical shifts are:

Electronegativity of the groups attached to the C

Hybridization of C

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The bending of light as it moves from one medium to another with differing indices of refraction is due to a change in what property of the light? group of answer choices

Answers

Refraction is the result of a wave's direction changing as it travels from one medium to another due to a change in speed. When light travels through a fast medium and into a slow medium, the light beam is refracted, which causes it to bend in the direction of the boundary between the two media.

What is Refraction ?

When light travels through a fast medium and into a slow medium, the light beam is refracted, which causes it to bend in the direction of the boundary between the two media.

The term "refraction" refers to the way light bends as it travels through transparent materials (it also occurs with sound, water, and other waves). Because of this bending brought on by refraction, we are able to make lenses, magnifying glasses, prisms, and rainbows.

Refraction occurs when light enters a medium from another and experiences a change in speed. Light bends toward the normal when it transitions from air to water due to the decrease in speed.

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Point a is located 0.197 m away from a charge of - 3.52 x 10-9 c. point b is located 0.506 m away from the charge. what is the electric potential difference vb - va between these two points?

Answers

The correct answer is -98.2V.

The gravitational potential energy and the electrostatic potential energy are practically identical. In relation to the gravitational potential energy notion, we explore the electric potential energy formula. An electric charge will store the external work done on it in the form of electric potential energy or electrostatic potential energy when it is exposed to an external electric field. As a result, the external work performed by an agent in getting a charge or system of charges from infinity to the desired location without accelerating the charge is defined as the electric potential energy.

The electric potential at A due to the charge

V_A= 1/4πε_0 Q/r_A = - 9×10^9× - 3.52 x 10-9 /0.197=-160.8V

Electric potential at B due to the charge

V_B=1/4πε_0 Q/r_B= - 9×10^9× - 3.52 x 10-9 /0.506=-62.6V

V_B-V_A=-160.8-(-62.6)

=-98.2V

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A calorimeter for which mc = 25 J K−1 contains
140 g of a liquid. An immersion heater is used to
provide energy at a rate of 40 W for a total time of
4.0 min. The temperature of the liquid increases by
15.8 °C. Calculate the specific heat capacity of the
liquid. State an assumption made in reaching this
result.

Answers

The liquid's specific heat capacity is 4.2 kJ kg⁻¹ K⁻¹.

In a calorimeter, mc = 25 J K⁻¹.

The calorimeter contains m(l) = 140 g = 140 × 10⁻³ kg of liquid.

The energy is provided at a rate of Q = 40 W for a time of 4 minutes.

The liquid's temperature increases by ΔT = 15.8° C = 15.8° K.

Q = mcΔT

The equation tells you how much heat is given (Q or E), how much of that heat changes the material's temperature T, and how much of that heat is applied to a mass-m material with a specific heat capacity (c).

Now, the heat supplied will be:

Q = mcΔT + m(liquid) c(liquid)ΔT

Q = mcΔT + m(l) c(l)ΔT

c(l) = ( Q - mcΔT ) / m(l)ΔT

Now, the heat supplied is Q = 40 W = 40 J/s = 40 × 4 × 60s = 9600 J

c(l) = { ( 9600 - 25 × 15.8 ) / [ (140 × 10⁻³) × 15.8 ] }

c(l) = ( 9600 - 395 ) / [ 2212 × 10⁻³ ]

c(l) = 9205 / 2212 × 10⁻³

c(l) = 4.1614 × 10³ = 4.2 kJ kg⁻¹ K⁻¹

The specific heat capacity of the liquid is 4.2 kJ kg⁻¹ K⁻¹.

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There are 9 different positions on a baseball team. if a team has 13 players how many different line-ups can the team make? the team can make different line-ups.

Answers

The team can make different line-ups in 13!(13−9)!=13!4! ways.

For the first spot in the lineup, there are 13 possibilities, for the second spot there are 12 possibilities, continuing in this fashion there are 5 possibilities for the ninth spot in the lineup. So there are

13 × 12 × • • • × 5 = 259459200

possibilities.

To write it succinctly

13!(13−9)!=13!4!

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Carbon atoms have an atomic radius of 70 picometers, or 7.0 x 10 meters (1 m = 10 pm). if exactly 1 mole of carbon atoms were lined up in a row, about how long would the line of atoms be?

Answers

By Avogadro's number, the carbon atoms length is 8.428 x 10¹³ m.

We need to know about Avogadro's number to solve this problem. Avogadro's number is the number that explains how many carbon atoms are in one mol. The Avogadro's number is

Na =  6,02 × 10²³ atoms / mol

From the question above, we know that

n = 1 mol

r = 70 pm = 70 x 10¯¹² m

By using Avogadro's number, we can calculate how many carbon atoms

N = Na . n

N = 6,02 × 10²³ x 1

N = 6,02 × 10²³ atoms

As we know one atom's length is equal to its diameter, Hence

atom length = d

atom length = 2 x r

atom length = 2 x 70 x 10¯¹²

atom length = 140 x 10¯¹² m

Calculate the length of 1 mol Carbon atoms length

length = N x atom length

length = 6,02 × 10²³ x 140 x 10¯¹²

length = 8.428 x 10¹³ m

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a vector has an x component of -22.5 units and a y component of 37.4 units. find the magnitude and direction of this vector.

Answers

The magnitude of the vector is 43.81 units and the direction of the vector is 120.89 degrees with a +x-axis counterclockwise.

What is the magnitude and direction of a vector?

The length for a certain vector (let's say v) can be calculated by using the symbol |v|, which stands for the magnitude of a vector formula. In essence, this measurement represents the separation between the vector's starting and ending points. We apply the distance formula to get the vector's magnitude.

Its direction indicates where it points. Although vector direction can be expressed in a number of ways, degrees are the most frequent notation.

The magnitude of the given vector will be

[tex]\vec{r} &=x i+y j \\\vec{r}=-22.5 \hat{i}+37.6 \hat{j} \\{[\vec{r}] } &=\sqrt{(22.5)^2+(37.6)^2} \\&=43.81 units[/tex]

The direction of the vector will be

tanα=[tex]\frac{y}{x}\\[/tex]

[tex]=tan^{-1}(\frac{y}{x})\\=tan^{-1}(\frac{37.6}{22.5}\\=59.103 degree[/tex]

Therefore, the direction of the vector is 120.89 degrees with the +x-axis counterclockwise.

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As officer konstantin explains, when driving at 60 mph, in four seconds, you've traveled?

Answers

when driving at 60 mph, in four seconds, you've travelled 107.29 m

What is speed?

Speed is the distance travelled per unit. Mathematically, it can be expressed as:

Speed = distance / time

How to convert 60 mph to m/s

We'll begin by converting 60 mph to m/s. This can be o btained as follow:

1 mph = 0.44704 m/s

Therefore,

60 mph = (60 mph × 0.44704 m/s) / 1 mph

60 mph = 26.8224 m/s

How to determine the distance

The distance travelled can be obtained as follow:

Time = 4 sSpeed = 26.8224 m/sDistance =?

Speed = distance / time

Cross multiply

Distance = speed × time

Distance = 26.8224 × 4

Distance = 107.29 m

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At highway speeds, anautomobileis capable of an acceleration of about 1.6m/s2. at this rate, how long does it take to accelerate from 80km/hto 110km/h?

Answers

At highway speeds, an automobile is capable of an acceleration of about 1.6m/s2. at this rate, it take to accelerate from 80km/h to 110km/h is 5.2084s.

What is velocity?

Velocity is the directional speed of a object in motion as an indication of its rate of change in the position as observed from a particular frame of reference and as measured by a particular standard of the time (e.g. 60 km/h northbound). Velocity is a fundamental concept in kinematics, the branch of classical mechanics that describes the motion of the bodies.

Velocity is a physical vector quantity; both the magnitude and direction are needed to define it. The scalar absolute value (magnitude) of velocity is called the speed, being a coherent derived unit whose quantity is measured in the SI (metric system) as meters per second (m/s or m⋅s−1). If there is a change in the speed, direction or both, then the object is said to be undergoing an acceleration

Therefore,

v = v0 + at, where v is the final velocity, v0 is initial velocity, a is acceleration and t is time, solve for t:

t = (v - v0) / a,

note that all the variables must be in the same units, we want m/s which is a:

110 km / hour = (110 * 1000) / (60 * 60) = 30.5556 m/s:

80 km / hour = (80 * 1000) / (60 * 60) = 22.2222 m/s:

t = (30.5556 - 22.2222) / 1.6 = 5.2084 s

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part b run the video frame-by-frame again. now describe the car’s velocity (speed and direction) over time.

Answers

Velocity is the direction in which an object is moving and serves as a measure of the pace at which its position is changing as seen from a particular point of view.

What do you mean by motion?

Motion in physics is the phenomenon in which an object shifts in relation to time. Motion is quantitatively characterized in terms of the body's change in position with respect to the observer's frame of reference as well as the velocity, acceleration, and speed of the body. Kinematics is the area of physics that studies forces and how they affect motion, while dynamics is the area that studies motion in relation to its causes.

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A light microscope with an objective lens numerical aperture of 0.65 is capable of allowing two objects 320 nm apart to be distinguished when using light with a wavelength of 420 nm.
a. true
b. false

Answers

It is false to conclude that a light microscope with an objective lens numerical aperture of 0.65 is capable of allowing two objects 320 nm apart to be distinguished when using light with a wavelength of 420 nm.

Given,

Numerical aperture of lens = 0.65

Wavelength (λ) = 420 nm

Now,

0.61 × λ / numerical aperture = resolving power

Or, 0.61 × 420 / 0.65 =394.15 nanometers

Therefore, the least distance between two things that can be distinguished as two independent objects is 394.15 nm, which means two objects separated by 320 nm can not be distinguished as two separate objects with this microscope.

Hence, as a result, the statement is false.

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A rocket is accelerating upward from the surface of earth with an acceleration of 4. 4 m/s2. On board the rocket is a 0. 060 kg chicken egg. What is the apparent weight of the egg?.

Answers

The apparent weight of the egg is 0.264N

Here the rocket is accelerating upward from the surface of the earth. The egg is on the rocket.

The acceleration due to gravity is 4.4m/[tex]s^{2}[/tex].

The mass of a chicken egg is 0.060 kg.

Form Newton's second law, the net force acting on a body is equal to the product of mass and acceleration due to gravity.

So form Newton's second law we know the formula i.e.,

                     F = mass × acceleration

                        = 0.06 × 4.4

                        = 0.264N

Therefore the apparent weight of the egg is 0.264N.

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a river flows toward the east. because of your knowledge of physics, you head your boat 53 degrees west of north

Answers

Velocity of the current is 2.7 m/s and the velocity of the boat relative to the water is 4.8 m/s.

Define the velocity?

The pace at which a moving object's location changes as seen from a specific frame of reference and as measured by a specific time standard is known as its velocity. In kinematics, the area of classical mechanics that studies how bodies move, velocity is a fundamental idea.

Given:

[tex]West\;of\;north\;angle,\;\alpha=56\;^{\circ}[/tex]

[tex]Velocity\;of\;boat\;relative\;to\;shore,\;V_{b} = 4 m/s[/tex]

From the right angle triangle ABC, (see the attached figure)

[tex]sin\;\alpha=\frac{V_{b} }{V_{b,c} }[/tex]

[tex]V_{b,c}=\frac{V_{b} }{sin\;\alpha}[/tex]

Substitute the known values in the above equation,

[tex]V_{b,c}=\frac{4}{sin\;56^{\circ}}[/tex]

By solving the above equation, We get

[tex]Velocity\;of\;boat\;relative\;to\;water,V_{b,c}=4.8\;m/s[/tex]

[tex]cos\;\alpha=\frac{V_{c} }{V_{b,c} }[/tex]

[tex]V_{c}={V_{b,c}}\times{cos\;\alpha}[/tex]

Substitute the known values in the above equation,

[tex]V_{c}={4.8}\times{cos\;56^{\circ}}[/tex]

By solving the above equation, We get

[tex]Velocity\;of\;current,\;V_{c}=2.7\;m/s[/tex]

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If a car accelerates from a stand still to 60 km/s in 10 seconds what is its acceleration

Answers

Answer:

I think it's 6 km/s^2

Explanation:

We know that velocity is 60 km/s and time is 10 seconds.

We need to find acceleration, so we need to use a=v/t.

Add in your numbers into the equation giving you a=60 km/s divided by 10s.

Your units for acceleration are km/s^2

Your answer should end up being 6 km/s^2

Hope I'm right and if I'm wrong I hope my physics teacher doesn't see this...

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