I already found Rx = -0.2 and Ry = -3. The magnitude is the square root of 0.2^2 + 3^2 = 3.01 I only need help understanding why when I plus in to solve for the direction why it won’t accept 86.2 when tan^-1(-3/0.2) doesn’t work. Please help explain to me the real answer or how I’m wrong. Thank you in advance

I Already Found Rx = -0.2 And Ry = -3. The Magnitude Is The Square Root Of 0.2^2 + 3^2 = 3.01 I Only

Answers

Answer 1

The values you found are incorrect.

The sum/resultant vector is

[tex]\hat R = \hat A + \hat B \\\\ \hat R = (5.00\,\mathrm m)\,\hat\imath + (6.00\,\mathrm m)\,(-\cos(30.0^\circ)\,\hat\imath - \sin(30.0^\circ)\,\hat\jmath) \\\\ \hat R = (2.00\,\mathrm m) \,\hat\imath - (3\sqrt3\,\mathrm m)\,\hat\jmath \\\\ \hat R \approx \boxed{(2.00\,\mathrm m)\,\hat\imath - (5.20\,\mathrm m)\,\hat\jmath}[/tex]

The magnitude of the resultant is

[tex]\|\hat R\| = \sqrt{(2.00\,\mathrm m)^2 + (-5.20\,\mathrm m)^2} \approx \boxed{5.57\,\mathrm m}[/tex]

The direction or angle the resultant makes with the positive horizontal axis is [tex]\theta[/tex] such that

[tex]\tan(\theta) \approx \dfrac{-5.20\,\mathrm m}{2.00\,\mathrm m} \approx -2.60[/tex]

Note the signs of the [tex]\hat\imath[/tex] and [tex]\hat\jmath[/tex] components of [tex]\hat R[/tex]. They tell us that [tex]\hat R[/tex] points into the fourth quadrant, and this means we can take the inverse tangent of both sides without any extra steps*. We then get

[tex]\theta \approx \tan^{-1}(-2.60) \approx \boxed{-67.0^\circ}[/tex]

* There would have been an extra step if [tex]\hat R[/tex] were pointing into either the second (negative [tex]\hat\imath[/tex], positive [tex]\hat\jmath[/tex]) or third quadrant (both negative [tex]\hat\imath[/tex] and [tex]\hat\jmath[/tex]). The inverse tangent function has a range of -90° to 90°, which means upon taking the inverse tangent of both sides of

[tex]\tan(\theta) = \dfrac{R_y}{R_x} \implies \theta = \tan^{-1}\left(\dfrac{R_y}{R_x}\right)[/tex]

we would only recover some angle [tex]\theta[/tex] between -90° and 90°. Yet our resultant must have some angle between -180° and -90°, or between +90° and +180° to belong to quadrant II or III. To get around this, we add an appropriately chosen multiple of 180° to the right side after taking the inverse tangent.


Related Questions

a plane accelerates from rest at a constant rate of 5.00 along a runway that is 1800 long. assume that the plane reaches the required takeoff velocity at the end of the runway. what is the time needed to take off?

Answers

tTO = 26.8 sis the time needed to take off a plane accelerates from rest at a constant rate of 5.00 along a runway that is 1800 long.

What is time ?

Time is the ongoing pattern of existence and things that happen in what seems to be an unbreakable succession from the past through the present and into the future. It is a constituent quantity of many measurements that are used to compare the lengths of events or the gaps between them, to compare the sequence of occurrences, and to measure the rates at which certain quantities in the physical world or in conscious experience change. In addition to the three spatial dimensions, time is frequently considered a fourth dimension.

Although time has long been a crucial topic for research in philosophy, theology, and science, no definition of time that is universally applicable and free of circularity has ever been reached by academics. However, a number of different industries and areas, including business, industry, sports, the sciences, and the performing arts, all incorporate.

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Explain why there are different colors of visible light. Due in a couple of minutes

Answers

Answer:

As the full spectrum of visible light travels through a prism, the wavelengths separate into the colors of the rainbow because each color is a different wavelength.

Explanation:

hop this helps

Answer:

Light is made up of different wavelengths, or colors, and white light is a combination of all of them. When a ray of white sunlight hits a patch of beach ball, the paint absorbs most of the wavelengths. It reflects the rest. For example, if the patch is blue, it reflects the blue wavelengths and absorbs all the others.

how can i eat a pizza with my toes

Answers

Answer:

You grab (grasp or seize suddenly and roughly.) the pizza with your toes

Explanation:

Answer:

First, you have to wash your toes to get all the germs off.

Next, make sure you have a good grip on the pizza.

Then, make sure you are in a comfortable position.

Next, wrap your leg around your neck so the pizza can reach.

Finally, you can enjoy your pizza.

Hope this helped!

The diagram shows how states of matter can change when energy is either added or removed.
System before change
System after change
00000
00000
00000
00000
00000
00000
00000
All of these statements below are true EXCEPT
Energy was added to the matter causing the particle movement to increase.
The matter changed states which is a physical change.
The particles in the matter before the change had more energy than after the change.
The particles in the matter before the change had less energy than after the change

Answers

A change in temperature frequently causes substances to change phases. Most substances are solid at low temperatures; as the temperature rises, they become liquid; and at still greater temperatures, they become gaseous.

Melting is the conversion of a solid into a liquid (an older term that you may see sometimes is fusion). Solidification is the process where a liquid turns into a solid. The melting point, or the temperature at which a pure substance begins to melt, is a property of that substance. A solid must expend energy to become a liquid. A specific quantity of energy is required by every pure substance in order to transform from a solid to a liquid. This amount is known as the substance's enthalpy of fusion (or heat of fusion).

The complete question is- The diagram shows how states of matter can change when energy is either added or removed.

System before change

System after change

00000

00000

00000

00000

00000

00000

00000

All of these statements below are true EXCEPT

Energy was added to the matter causing the particle movement to increase.

The matter changed states which is a physical change.

The particles in the matter before the change had more energy than after the change.

The particles in the matter before the change had less energy than after the change.

the diagram is attached below.

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A car, with an initial position of x=83.2 meters, undergoes a displacement of -153.0 meters. What is its final position? (Unit=m)

Answers

The final position of the car with an initial position of x = 83.2 m which undergoes a displacement of - 153 m is

We know that,

s = [tex]x_{2}[/tex] - [tex]x_{1}[/tex]

where,

s = Displacement

[tex]x_{2}[/tex] = Final position

[tex]x_{1}[/tex] = Initial position

Given that,

[tex]x_{1}[/tex] = 83.2 m

s = - 153 m

[tex]x_{2}[/tex] = -153 + 83.2

[tex]x_{2}[/tex] = - 69.8 m

Displacement is the the distance between initial and final positions of the object. It is denoted by s.

Therefore, the final position of the car is - 69.8 m

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what does it mean to "convert" from 1 unit to another? Give an example.

Answers

Answer:

To convert is to change measuring units so that what is being measured may be more easily measured etc.

Answer:

A conversion factor is a number used to change one set of units to another by multiplying or dividing.

Explanation:

The appropriate conversion factor to an equal value must be used when a conversion is necessary.

For example, to convert inches to feet, the appropriate conversion value is 12 inches, equal to 1 foot.

What is the phase of the moon during a total solar eclipse?

Answers

Answer:

The moon should be in the New phase.

Explanation:

the elastic cords used for bungee jumping are designed to endure large strains. consider a bungee cord that stretches to a maximum length 3.51 times the original length. there are different ways to report this extensional deformation.

Answers

The ratio of (ε true/ε engr) = (1.2556/2.51) = 0.5002

So, the engineering strain is around 0.5002 bit wrong from the value of the true strain. This calculated value of difference is known as the extensional deformation.

For finding out the Engineering strain,

Engineering strain is a unit used to describe how much a material deforms when subjected to a specific force. It is equal to the amount of deformation divided by the material's initial length in the direction of the applied force.

⇒ε(engineering) = ΔL/L₀

⇒Lₓ= final length = 3.51 L₀

⇒L₀ = original length = L₀

⇒ΔL = Lₓ- L₀

        = 3.51 L₀ - L₀

        = 2.51 L₀

⇒ε(engineering) = ΔL/L₀

                            = (2.51L₀)/L₀  

                            = 2.51

For finding out the True Strain,

Deformation is measured by True Strain. It can be calculated by integrating the strain across short time intervals and adding them up. Hence,

⇒ε(true) = In (Lₓ/L₀)

⇒Lₓ = 3.51L₀

⇒L₀ = L₀

⇒ε(true) = In (Lₓ/L₀)

              = In (3.51L₀/L₀)

              = In 3.51

              = 1.2556

So, dividing both the values, we get

(ε true/ε engr) = (1.2556/2.51) = 0.5002

The complete question is as follows:

The elastic cords used for bungee jumping are designed to endure large strains. Consider a bungee cord that stretches to a maximum length 3.51 times the original length. There are different ways to report this extensional deformation. Calculate how wrong' the engineering strain is compared to the true strain by evaluating the ratio: ε true/ε engr

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a baseball is moving at a speed of 2.2\,\dfrac{\text{m}}{\text{s}}2.2 s m ​ 2, point, 2, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction when it strikes the catcher's glove. the padding of the glove is compressed by 2.4\,\text{mm}2.4mm2, point, 4, start text, m, m, end text before the ball comes to a stop. we want to find the average acceleration of the baseball while it is compressing the glove. which kinematic formula would be most useful to solve for the target unknown? assume the initial direction of travel is the positive direction.

Answers

The average acceleration of the baseball while it is compressing the glove is 1008 10⁻³ m / s². The kinematic formula used is v² = v₀² - 2 a x.

What is acceleration?

Acceleration is the rate of change in a moving object's speed and direction over time. When a point or object accelerates or decelerates, it is moving straight forward. Motion on a circle increases despite the same speed because the direction is always changing.

Because the acceleration occurs in the opposite direction as the speed and the end speed is zero, the sign is negative.

0 = v₀² - 2 an x

a = v₀² / 2x

Consider converting the magnitudes to the SI system.

x = 2.4 mm (1 meter / 103 mm) = 2.4 103 m

Let's compute.

a = 2.2²/2 2.4 10⁻³

a = 1008 10⁻³ m / s²

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What is the average speed across my bunny’s entire trip when she hops 6 meters to the east across the room in 11 seconds and then takes another 12 seconds to hop back to her initial position? Express your answer using the proper SI units round your to two decimal places include a direction if necessary
Help me asap calculating average velocity and speed

Answers

The average speed of bunny's entire trip is 0.52 m/s and her average velocity is 0 m/s.

What is average speed?

The average speed of an object is the ratio of total distance travelled to the total time of motion of the object.

V(speed) = total distance / total time of motion

V(speed) = (6 m + 6 m) / (11 s + 12 s)

V(speed) = (12 m) / (23 s)

V(speed) = 0.52 m/s

What is average velocity?

The average velocity of an object is the ratio of total displacement to total time of motion of the object.

V(velocity) = total displacement / total time of motion

V(velocity) = (6 m - 6m) / (11 s + 12 s)

V(velocity) = (0 m) / (23 s)

V(velocity) = 0 m/s

Thus, the average speed of bunny's entire trip is 0.52 m/s and her average velocity is 0 m/s.

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Clara jogs 600 m in 5 minutes

Answers

The conventional approach to this question would be to find the velocity in metres per second, and then convert it to kilometres per hour.

But the easiest approach is more simple:

Distance = 600m = 0.6km

Time = 5min = (5/60)hrs = (1/12)hrs

Speed = Distance/Time = (0.6)/(1/12) = 12(0.6) = 7.2kmph

6. A person walks 60.0 m and then he walks 130 m.
What is the person's distance?

Answers

Answer:

130+60=190

Explanation:

i.e. if you asked for the distance covered by the person

a soccer player takes a free kick from a spot that is 29 m from the goal. the ball leaves his foot at an angle of 41 ∘, and it eventually hits the crossbar of the goal, which is 2.4 m from the ground.

Answers

The speed of the ball when it left his foot is 11.13 m/s.

The given parameters;

distance of the goal, d = 17 m

angle of projection of the ball, = 38°

height of the cross bar, H = 2.4 m

The speed of the projectile will be calculated by applying the formula for maximum height reached by a projectile;

u=2x9.8x2.4/sin2(38)

u=11.13

Thus, the speed of the ball when it left his foot is 11.13 m/s.

What is projectile?

An object that is driven by the application of an external force and then moves freely while being affected by gravity and air resistance is referred to as a projectile. Despite the fact that all items traveling through space are projectiles, they are frequently used in sports and warfare.

Therefore,

a soccer player takes a free kick from a spot that is 29 m from the goal. the ball leaves his foot at an angle of 41 ∘, and it eventually hits the crossbar of the goal, which is 2.4 m from the ground.

u=2x9.8x2.4/sin2(38)

u=11.13

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Which list of elements will behave similarly in a chemical reaction?
lithium (Li), boron (B), oxygen (O)
lithium (Li), sodium (Na) potassium (K)
sodium (Na), magnesium Mg), lithium (Li)
potassium (K), bromine (Br), krypton (Kr)

Answers

Answer:

I got you.  its lithium (Li), sodium (Na) potassium (K)

Explanation:

They are all in the same group of the periodic table just look it up and look at group 1

a neutron star is the remnant left after certain supernovae (explosions of giant stars). typically, neutron stars are about 21 km in diameter and have around the same mass as our sun. what is a typical neutron star density in g/cm3 ?

Answers

The density of the neutron star is  ρ = [tex]7.733[/tex]×[tex]10^{14}[/tex] [tex]g/cm^{3}[/tex].

What is a neutron star?

The volume of the neutron star is

V=([tex]4\pi /3[/tex])×[tex]R^{3}[/tex]

V= [tex]25.72^{17} cm^{3}[/tex]

Now the density of the neutron star is

ρ = M/V

ρ =  [tex]7.733[/tex]×[tex]10^{14}[/tex]g/[tex]cm^{3}[/tex]

The collapsing core of a large supergiant star with a total mass of between 10 and 25 solar masses—possibly even more if the star was very metal-rich—is what we refer to as a neutron star. Neutron stars are the tiniest and densest class of stellar objects currently known, with the exception of black holes and other hypothetical phenomena.

Although the galaxy may contain hundreds of millions of ancient neutron stars, only about 1,000 pulsars are known to exist. Although the enormous pressures found at neutron star cores may be similar to those at the moment of the big bang, conditions like this cannot be replicated on Earth.

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which of the forces have infinite range? group of answer choices weak nuclear force only both gravitational and weak nuclear forces electromagnetic force only both electromagnetic and gravitational forces

Answers

The gravitational force and the electromagnetic force are the two forces that have infinite ranges.

There are four fundamental forces in nature. They are:

Gravitational forceElectromagnetic ForceWeak Nuclear ForceStrong Nuclear Force

The strength and range of the fundamental forces are mentioned in the table given in the adjoining image.

Out of the four forces, two forces are there whose range is infinite i.e gravitational force and electromagnetic force, and the other two forces i.e., weak nuclear force and strong nuclear force have extremely short ranges.

Thus, both gravitational force and electromagnetic force are two forces that have infinite ranges.

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An egg is dropped from a treehouse and takes 1.5 seconds to reach the ground. We can ignore air
resistance.
What is the egg's displacement?

Answers

11 m

Explanation:

d = 1/2 a t^2

  = 1/2 (9.81)(1.5)^2 =11 m

3 A car has a steady speed of 8 m/s.
How far does the car travel in 8 s?
a
b
How long does the car take to travel 160 m?

Answers

a. The car travel 64m in 8s.

b .It takes 20s to cover a distance of 160m

we know that speed is equal to distance travelled by an object by time taken.

s=d/t

a. it is given that the speed of the car is 8m/s and the time it takes is 8s so here the distance will be

d=s*t

= 8x8

=64m

b. here it is given that the car travels a distance of 160 m and it has a speed of 8m/s so the time taken by the car to travel 160 m will be

t=d/s

=160/8

=20s

So from the above equations it is clear that s=d/t and the distance covered is 64m in a. and 20s in b.  

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A sample of nitrogen gas is contained in a piston with a freely moving cylinder. At 0°c, the volume of the gas is 371 ml. To what temperature must the gas be heated to occupy a volume of 557 ml?.

Answers

The gas must be heated to 137˚C to occupy a volume of 557 ml.

The gas pressure will remain constant while the piston is free to move. So, we can resolve this using Charles' Law.

What is Charles's law?

Charles' law states that, if the pressure is constant, the volume occupied by a fixed quantity of gas is precisely proportional to its absolute temperature.

The ideal gas rule has an exception known as Charle's law.

The law is applicable to ideal gases with constant pressure but varying temperatures and volumes.

The equation of Charles' law is PV = k where k may is constant.

When measurements are taken under constant pressure, Charles' law establishes a relationship between a gas's volume and temperature.

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Can somebody answer all parts with explanation
Thanks,

Answers

The total length of the brass used to make the girls neck rings= 840cm

The radius of the brass = 20 cm

The volume of the cylinder = 15,086cm³

The mass of brass = 131700.78g

Calculation of the radius, length and mass of brass

To calculate the total length of the brass:

The number of turns that makes up the neck rings = 21

The circumference of each turn = 40cm

Therefore the total length = 40 × 21 = 840cm

To calculate the radius of the brass,

The height of the brass= 12cm

The circumference of the turns= 40cm

Therefore the radius = 40/2 = 20cm

To calculate the volume of the cylinder:

The formula for the volume of cylinder,

V = πr²h

r = 20cm

h = 12cm

V= 22/7 × 20² × 12

V = 22× 400×12/7

V= 105600/7

V= 15,086cm³

To calculate the mass of the brass:

Density =8.73 g/cm³

Volume = 15,086cm³

mass= density × volume

mass= 8.73 × 15,086

Mass = 131,700.78g

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To obtain the approximate short-circuit current values when two hot conductors of a 3-phase system are shorted together, use _____ percent of the 3-phase current value.

Answers

To obtain the approximate short-circuit current values when two hot conductors of a 3-phase system are shorted together, use _maximum percent of the 3-phase current value.

short circuit- It is an electrical circuit in which current finds a way to bypass the appliances on a path that has little or no resistance.

In the 3- phase system, there are three power wires which carries load.

most common. Types of three phase system are known as wye and delta.

Delta configuration has only three wires. Wye configuration may have a fourth, neutral ,wire.

To obtain the approximate short-circuit current values when two hot conductors of a 3-phase system are shorted together, use _maximum percent of the 3-phase current value.

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a sprinter walks up to the startng blocks at a constant speed and position herself for the start of the race. she waits until she hears thje starting pistol go off and then accelerates rapidly until she attains a constant velocirty

Answers

The distance ran by the runner in the 2 seconds is 2·A

The speed of the runner at the end of the 2 seconds is 2·A

Calculation

The given information are;

The distance the sprinter is running = 100 m

The initial constant acceleration of the sprinter, a = A

The duration of the initial acceleration, t = 2 s

The initial speed of the printer, u = 0 (The sprinter starts from rest)

The rate with which the sprinter then runs with to the end = Constant speed

Therefor, we have, from the equation of motion;

s = u × t + 1/2 × a × t²

Where;

s = The distance ran by the sprinter

∴ at t = 2 seconds, we have;

s = 0 × 2 + 1/2 × A × 2² = 1/2 × A × 4 = 2·A

The distance ran by the runner in the 2 seconds = 2·A

The speed, v, of the runner at the end of the 2 seconds is given as follows;

v = u + a × t

When t = 2 seconds, we have;

v = 0 + A × 2 = 2·A

The speed of the runner at the end of the 2 seconds = 2·A.

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An in line skater first accelerates from 0.0 m/s to 5.0 m/s in 4.5s then continues at this constant speed for another 4.5 s what is the total distance traveled by the in line skater

Answers

Assuming constant acceleration, the distance travelled in the first 4.5s is:

0.5*5.0*4.5 = 11.25m

The distance travelled in the next 4.5s is:

5.0*4.5 = 22.5m

The total distance travelled is:

11.25 + 22.5 = 33.75m

In most psychological research, psychologists start with a hypothesis, usually based on established theory, then gather data through careful observations, and then analyze the data to determine if their observations support the hypothesis. in such situations, what type of reasoning are psychology researchers using?

Answers

Psychology researchers are using deductive reasoning.

In psychological researches, reasoning is important to reach conclusions. Two important types of reasoning used by researchers are: Inductive reasoning and deductive reasoning.

In deductive reasoning, psychological research starts with a hypothesis formed from a general theory and then try to establish it true in real cases. They start from predicted conclusions or assumptions first and then gather data through careful observations to support the hypothesis. After analyzing the data thus collected, they will prove their assumptions true in specific cases of the theory. So deductive reasoning is used to prove general ideas in empirical observations.

However, inductive reasoning is opposite to this approach. It incorporates the method of reaching conclusions by beginning with observed data to make new theories.

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The de broglie equation relates the wavelength and the kinetic energy of particles. What is the mass of a particle with a speed of 2. 34 × 106 m/s with a de broglie wavelength of 2. 25 × 10-9 m?.

Answers

The mass of the particle having a de Broglie wavelength of 2.25×10⁻⁹ m and moving with a speed of 2.34×10⁶ m/s is 1.26×10⁻³¹ kg.

The de Broglie equation relating the momentum of a particle with its de Broglie wavelength is given by:

λ=h/Mv

where 'λ' is de Broglie wavelength, 'h' is Planck's constant having its value as 6.626×10⁻³⁴ kg-m²/s and 'M' is the mass of the particle.

Using the above equation and the values of λ=2.25×10⁻⁹ m, v=2.34×10⁶ m/s, and h=6.626×10⁻³⁴ kg-m²/s;

λ=h/Mv

2.25×10⁻⁹ m=(6.626×10⁻³⁴ kg-m²/s)/(M×2.34×10⁶ m/s)

=>M=(6.626×10⁻³⁴ kg-m²/s)/(2.25×10⁻⁹ m×2.34×10⁶ m/s)

=>M=(6.626×10⁻³⁴ kg-m²/s)/(5.265×10⁻³ m²/s)

=>M=1.26×10⁻³¹ kg

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the current world-record motorcycle jump is 77.0 m, set by jason renie. assume that he left the take-off ramp at 120° to the horizontal and that the take-off and landing heights are the same. neglecting air drag, determine his take-off speed.

Answers

The speed of his take off is 43.2 m/s if he left the take-off ramp at 120° to the horizontal and that the take-off and landing heights are the same. neglecting air drag.

What is velocity?

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 (metric system) units 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.

We have given that

R = 77.0m

[tex]\theta_0[/tex] = 12.0°

The horizontal range of such projectile R is given from the relation :

[tex]R = \frac{v^2_0}{g} sin 2 \theta_0[/tex]

Here, [tex]v_0[/tex] is velocity of take-off & [tex]\theta_0[/tex] is the angle of take-off

With this in mind,

[tex]v_0[/tex] = [tex]\sqrt{\frac{gR}{sin2\theta_0}[/tex]

    = [tex]\sqrt{\frac{(9.8 m/s^2)(77m)}{sin24}[/tex]

    = 43.2 m/s

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discrepancy between calculated charge and the accepted value of charge of electron

Answers

Charge of an electron, e = 1.60217662 × 10-19 coulombs whereas to calculate the charge of an electron it is not fixed as it may vary.

The charge of the electron is comparable to the size of the rudimentary charge (e) but bears a negative sign. Since the esteem of the rudimentary charge is generally 1.602 x 10-19 coulombs (C), at that point the charge of the electron is -1.602 x 10-19 C.

When communicated in nuclear units, the basic charge takes the esteem of solidarity, i.e., e = 1. In this way, the electron’s charge can be signified by -e. Even though the proton is much more gigantic than the electron, it was as it was including a charge of e.

Thus, impartial particles continuously bear the same number of protons and electrons.

JJ Thomson is the undisputed pioneer of the electron. Be that as it may, despite all those tests he performed on it, he might as it was overseen getting the electron’s charge to mass proportion.

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A concave mirror has a focal length of 8em. A real object of height 2em is placed 12cm from the mirror. Calculate the distance of the image from the mirror. If the height of the image formed is 4cm.​

Answers

If the height of the image formed is 4cm, the distance of the image from the mirror is - 24 cm

According to mirror formula,

[tex]\frac{1}{f} = \frac{1}{v} + \frac{1}{u}[/tex]

f = Focal length

v = Image distance

u = Object Image distance

m = Magnification

[tex]h_{o}[/tex] = Object height

[tex]h_{i}[/tex] = Image height

f = - 8 cm

u = - 12 cm

[tex]h_{o}[/tex] = 2 cm

[tex]h_{i}[/tex] = 4 cm

1 / ( - 8 ) = 1 / v - 1 / 12

1 / v = - 1 / 24

v = - 24 cm

The formula used to relate focal length with image and object length is mirror formula. This formula can be used for both plane mirror and spherical mirrors such as concave and convex mirrors.

Therefore, the distance of the image from the mirror is - 24 cm

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Answers

Answer:

1.) B

2.) Polar Regions or high altitudes.

Explanation:

According to history, the concept that all matter is composed of atoms was first proposed by.

Answers

The Greek philosopher Democritus, but not widely accepted until modern times.

Who first proposed the idea of atoms?It is believed that Leucippus of Miletus, who lived in the fifth-century BCE, invented the atomic philosophy. About 430 BCE, his illustrious pupil Democritus of Abdera gave the fundamental components of matter the atoms—literally, "indivisible"—name.The concept of the atom was first proposed by the Greek philosopher Democritus in 450 B.C.The oldest person whose dedication to atomism is extensively documented is Leucippus (5th century BCE). He is typically given credit for developing atomism.John Dalton, an English chemist, conducted several experiments in the early 1800s that helped solidify the concept of atoms. After the "dead of chemistry" in the previous 2000 years, he created the first atomic theory. Dalton proposed the idea that atoms make up all matter.

According to history, the concept that all matter is composed of atoms was first proposed by: The Greek philosopher Democritus, but not widely accepted until modern times.

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