Question 4
When the results of an experiment support your hypothesis, this means that your
hypothesis has been proven to be true.
True
False

Answers

Answer 1

When the results of an experiment support your hypothesis, this means that your hypothesis has been proven to be true. the statement is True.

What is hypothesis?

A hypothesis is a proposed explanation of a phenomenon. For a hypothesis to be a scientific hypothesis, the scientific method requires that it can be tested. Scientists usually base scientific hypotheses on past observations that cannot be satisfactorily  explained by existing scientific theories.

The characteristics of a hypothesis are as follows:

A hypothesis must be clear and precise to  be considered reliable. If the hypothesis is a relational hypothesis,  it should express the relationship between the variables. The hypothesis must be specific and  have room for  more tests. The  explanation of the hypothesis must be very simple, and it must also be understood that the simplicity of the hypothesis is not related to its meaning.

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Related Questions

When either low-mass or high-mass main sequence stars run out of hydrogen in the core, thecore will contain

Answers

To find

When either low-mass or high-mass main sequence stars run out of hydrogen in the core, the

core will contain

Explanation

When either low-mass or high-mass main sequence stars run out of hydrogen in the core, the

core will contain helium

Conclusion

The core will contain helium

A motor is used to convert:A. electrical energy to gravitational energy.B. electrical energy to mechanical energy.C. nuclear energy to chemical energy.D. mechanical energy to chemical energy

Answers

An electric motor is used to convert electrical energy to mechanical energy; therefore, the answer is B.

Where must an object be placed if the image formed by a concave mirror is to be one-fourth as far from the mirror as the object?

Answers

  The reflective surface of a concave mirror is curled inward and away from the light source. Light is reflected inward to a single focal point via concave mirrors. Contrary to convex mirrors, concave mirrors provide a variety of images based on the object's distance from the mirror.

Examples of concave mirrors

  The mirror formula is 1/v+1/u=1/f, where u, v, and f are, respectively, the distances between the object and the mirror, the distance between the object and its reflection, and the focal length of the mirror.

M= - v/u

   Additionally, M=height of the image/height of the object is the magnification.

  According to sign convention, for a true picture in a concave mirror, u, v, and f are all negative. Additionally, an erect image's height is positive, but an inverted image's height is negative.

1 / v + 1 /u = 1 / f → 1 /v = 1 / f − 1 / u = u−f /uf.

v=uf / u−f →  M = −v/u =  f/f−u.

   It is assumed that the image's height is one-fourth of the object's height. Additionally, the picture would only be half as tall as the object if it were shifted 5 cm in the direction of the mirror.

f /f−u = −1/4  and   f / f−(u+5)= −1/2,

   Because the positive indication of movement toward the mirror from the side of the object.

4f = − f +u  and  2f = −f+u+5.

5f=u  and 3f=u+5.

3f=5f+5  →  f = −5/2=−2.5  cm.

The lens has a 2.5 cm focal length. Given that the mirror is concave, the indication is negative.

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Someone stands at the edge of a cliff 15 m high. He drops a ball. How fast is the ball moving at the foot of the cliff, just before it hits the ground?

Now the person throws the ball at an angle of 43.6978° to the horizontal, at 5.0 m/s. The ball lands at the foot of the cliff after it moves in a parabolic path. How fast is the ball moving when it hits the ground at the foot of the cliff?

Answers

The final velocity of the ball when it falls from the 15 m high cliff is 17.15 m/s.

The final velocity of the ball when it is projected at an initial velocity of 5 m/s at 43.6978° to the horizontal is 17.5 m/s.

What is the final velocity of the ball?

The final velocity of the ball when it falls from the 15 m high cliff is calculated as follows;

v² = u² + 2gh

where;

v is the final velocityu is the initial velocity = 0g is the acceleration due to gravityh is height of fall

v² = 0² + 2gh

v² = 2gh

v = √2gh

v = √(2 x 9.8 x 15)

v = 17.15 m/s

The final velocity of the ball when it is projected at an initial velocity of 5 m/s at 43.6978° to the horizontal.

v² = (5 sin43.6978)² + 2(9.8)(15)

v² =  305.93

v = √305.93

v = 17.5 m/s

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A motorist drives north for 36.0 minutes at 65.5 km/h and then stops for 15.0 minutes. He then continues north, traveling 130 km in 2.30 h.(a) What is his total displacement?_____ km(b) What is his average velocity?_____ km/h

Answers

[tex]\begin{gathered} Displacement=(65.5km/h\cdot36min\cdot\frac{1h}{60min})+130km \\ Displacement=39.3km+130km=169.3km \end{gathered}[/tex][tex]\begin{gathered} Velocity=\frac{169.3km}{36min+15min+2.3h\cdot\frac{60min}{1h}} \\ Velocity=0.8958km/min=53.75km/h \end{gathered}[/tex]

How does the release of energy during fusion provide evidence of mass-energy equivalence?

Answers

The release of energy during fusion because the mass of the resulting single nucleus is smaller than the combined mass of the two initial nuclei, the process produces energy. Remaining mass is converted to energy.

what is Nuclear fusion?

A reaction known as nuclear fusion occurs when two or more atomic nuclei fuse to create new atomic and subatomic particles.

Mass energy equivalence describes the relation between mass and energy  when system is in rest frame. According to Einstein's equation, mass and energy can be transformed into one another (E=mc2).

when energy is lost the mass of the system will also decrease in proportion. The energy and mass can be discharged into the environment as heat energy or radiant energy like light.

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This means that the release of energy from a nuclear reaction creates enough of a mass difference to be measured.

 Mass-Energy EquivalenceAccording to mass-energy equivalence, mass is merely concentrated energy. The formula E=mc2 was created by Albert Einstein for his special relativity theory. Mass contains a huge quantity of energy. The energy in a 20g marble is equivalent to a 500 kiloton hydrogen bomb, but it is incredibly difficult to unleash. When matter and antimatter come together, a process known as matter-antimatter annihilation, it can be liberated. Because of the changes in mass, it is evident why nuclear processes produce so much more energy than chemical ones.

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A car travels 50. meters due north in 15
seconds. Then the car turns around and
travels 20. meters due south in 5.0
seconds. What is the magnitude of the
average velocity of the car during this
20. second interval? [2]

Answers

The average velocity of the car during this 20 sec interval is 1.5 m/s.

Given that,

A car travels 50 metres due north in 15 seconds then car turns around the and travels 20 metres due south in 5 second.

To find :

The magnitude of the average velocity of the car during this 20 seconds interval.

Initial velocity

u = 50 metres/15 = 3.33 m/s

Final velocity

v = 20 metres/5 = 4 m/s

Displacement of car is

Displacement = 50 - 20 = 30 metres

Let V is the velocity of the car during this 20 sec interval. We know that the average velocity is given by :

V = d/t

V = 30 metres/20 = 1.5 m/s

So, the average velocity of the car during this 20 sec interval is 1.5 m/s.

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1. Using the values of acceleration calculate Usain’s greatest and least net forces.Average Acceleration(m/s/s)02.84.861.120.60.510.180.19-0.18-0.180

Answers

Given:

mass of the usain is

[tex]m=94\text{ kg}[/tex]

Acceleration is given as

[tex]a=0,\text{ 2.8, 4.86, 1.12, 0.6, 0.51, 0.18 0.19, -0.18, 0}[/tex]

Required: calculate the greatest and least net forces.

Explanation:

we know the force is given as

[tex]F=ma[/tex]

where m is the mass and a is the acceleration

to calculate the greatest force

we need find the greatest acceleration in the given table that is

[tex]a=4.86\text{ m/s}^2[/tex]

plugging all the values in the above relation we get:

[tex]\begin{gathered} F=ma \\ F=94\text{ kg}\times4.86\text{ m/s}^2 \\ F=456.84\text{ N} \end{gathered}[/tex]

now, to calculate the least force we have the find the least acceleration

that is

[tex]a=0\text{ m/s}^2[/tex]

plugging all the values in the above relation, we get:

[tex]\begin{gathered} F=ma \\ F=94\text{ kg}^\times0 \\ F=0 \end{gathered}[/tex]

so least force is zero.

we can se another least force when the acceleration is negative that is

[tex]a=-0.18\text{ m/s}^2[/tex]

then force is

[tex]\begin{gathered} F=ma \\ F=94\text{ kg}\times-0.18\text{ m/s}^2 \\ F=-16.92\text{ N} \end{gathered}[/tex]

Thus. the greatest force is

[tex]\begin{equation*} 456.84\text{ N} \end{equation*}[/tex]

and least force is

[tex]-16.92\text{ N}[/tex]

how can empiricism assist you as a teacher to achieve your goals in a classroom​

Answers

Empiricism is the notion that all ideas are derived from experience, that all ideas may be relevant or are about experiences, or that all prepositions and beliefs that are seen to be reasonable are known or justified largely by experience. The main function of experience is explained by empiricism. Empiricism maintains that experience serves as the foundation for all knowledge.

Empiricism plays a major role in the psychological history of America and Britain. Psychology is unjustified in light of human-made scientific knowledge. Empiricism was a key component of ancient, medieval, and contemporary philosophy. The popular sense of the day seemed to be empiricist (Britannica). Empiricism was seen to be a crucial force resisting the pretense of speculative rationalist philosophy. Even if they accepted the majority of the significant information that was nonempirical, most medieval philosophers adopted the empiricist approach, at least in terms of concepts.

Empiricism, therefore, takes on many forms. Their relaxation is the major factor that separates them. According to the widely accepted explanation, people's perceptions of their physical environment are influenced by their experiences. According to the phenomenalist interpretation, assistance merely benefits a person's sensory experience.

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A block of mass =1.25 kg slides along a horizontal table with speed 0=8.00 m/s. At =0, it hits a spring with spring constant =80.00 N/m, and it also begins to experience a friction force.

The coefficient of friction is given by =0.100. How far has the spring compressed by the time the block first momentarily comes to rest?

Answers

The distance travelled by the spring compressed by the time the block first momentarily comes to rest is equal to 0.96 meters.

what is work energy theorem?

work energy theorem is an important phenomenon in physics which states that the change in kinetic energy is equal to the work done by the object.

This law is basic part of conservation of energy.

what is newtons law of motion?

Newton's laws of motion are three basic laws of classical mechanics that describe the relationship between the motion of an object and the forces acting on it. These laws can be paraphrased as follows: A body remains at rest, or in motion at a constant speed in a straight line, unless acted upon by a force.

given:

mass of the block = 1.25 kg

speed of the block = 8.0 m/s

spring constant = 80 N/m

coefficient of friction = 0.100 u

on applying the work energy theorem, you would realize,

change in kinetic energy = work done by spring and the friction

final kinetic energy - initial kinetic energy = work done by spring + the work done by friction

0.5 × 1.25 × 64 = 0.5 × 80 × x² + 0.1 × 1.25 × 9.8

x = 0.96 meters

therefore, the distance travelled by the spring compressed by the time the block first momentarily comes to rest is equal to 0.96 meters.

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A 2.00 kg solid sphere (I = 2/5 MR2) with a diameter of 50.0 cm is rotating at an angular velocity of 5.0 rad/s. The angular momentum of the rotating sphere is

Answers

m = mass = 2kg

Diameter = 50 cm

radius= diameter /2= 50/2 = 25cm = 0.25m

w= angular velocity = 5 rad/s

L= I x W

I =2/5 * m*r^2 = 2/5 * 2 * 0.25^2 = 0.05 kgm^2

L= I x W = 0.05 * 5 = 0.25 kgm^2 / s

When there is an angle between the force and the displacement, W = F·d cos θ. Is this true or false?

Answers

Take into account that the work done by the force F can be written as follow:

[tex]\vec{W}=\vec{F}\cdot\vec{d}[/tex]

Consider that for a dot product between vectors you have:

[tex]\vec{F}\cdot\vec{d}=Fd\cos \theta[/tex]

where θ is the angle in between the vectors F and d.

Then, related to the given statemen, it is true that angle θ is the angle between force and displacement.

Analysis of data: Answer the following using the equation Force = Mass x
Acceleration:
1. The cruise control feature on most cars allows the engine to provide just the right amount of
force to maintain a constant speed. If the engine is applying force to the mass of the car, why
doesn't the car accelerate?
17

Answers

The car does not accelerate because the force of the engine is equal to the force of friction.

What is force?
A force is an effect that can modify the velocity of an item in physics. A force can cause a mass object to change its velocity (e.g., moving from rest), i.e., to accelerate. Intuitively, force can be described as a push or a pull. A force is a vector quantity since it has both magnitude and direction. It is measured in newtons, the SI unit of mass (N). The sign F represents force (formerly P).
Newton's second law, in its original form, states that the net force acting on an object is equal to the rate at which its momentum varies with time.

The force of the engine is equal to the force of friction and the force of gravity. The car does not accelerate because these forces are balanced.

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Two forces F1 = -7.50i + 4.90j and F2 = 8.20i + 3.50j are acting on an object with a mass of m = 2.70 kg. The forces are measured in newtons, i and j are the unit vectors. What is the magnitude of the object's acceleration?

Answers

The magnitude of the object's acceleration is determined as 3.12 m/s².

What is the resultant force on the object?

The magnitude of resultant force acting on the object is calculated as follows;

F = √[(x₁i + x₂i)² + (y₁j + y₂j)²]

where;

x₁i is the initial force in x-directionx₂i is the final force in x-directiony₁j is the initial force in y-directiony₂j is the final force in y-direction

F = √[(-7.5 + 8.2)² + (4.9 + 3.5)²]

F = 8.43 N

The magnitude of the object's acceleration is calculated by applying Newton's second law of motion as follows;

F = ma

a = F/m

where;

F is the applied force on the objectm is the mass of the objecta is the acceleration of the object

a = (8.43) / (2.7)

a = 3.12 m/s²

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You pour yourself a cold glass (m = 0.6 kg) of ice tea (m = 1.2 kg) on a hot summer day andaccidently leave it in the sun, which causes both the tea and the glass to warm up to atemperature of 19°C. You want to bring it down both down to a nice cold 1°C before you drinkit. What mass of ice at -15°C do you need to add to the system to cool it down? Assume, thespecific heat of water and tea is 4186 J/kg°C, the specific heat of the cup is 837 J/kg°C, thespecific of ice is 2090 J/kg°C, and the latent heat of fusion for ice to water is 3.34 x 105 J/kg.

Answers

ANSWER

[tex]\begin{equation*} 0.269kg=269g \end{equation*}[/tex]

EXPLANATION

Parameters given:

Mass of glass, mg = 0.6 kg

Mass of ice tea, mt = 1.2 kg

Temperature of tea and glass = Tg = Tt = T1 = 19°C

Required temperature, T2 = 1°C

Temperature of ice, Ti = -15°C

The sum of the heat lost by the glass and the heat lost by the tea must be equal to the heat gained by the ice:

[tex]m_gc_g(T_1-T_2)+m_tc_t(T_1-T_2)=H_i[/tex]

where cg = specific heat of the cup.

ct = specific heat capacity of the tea

Hi = heat gained by ice

The heat gained by ice is given as the sum of the heat gained to convert the ice to ice at 0°C, the heat gained to convert the ice at 0°C to water at 0°C and the heat gained to convert water at 0°C to water at 1°C:

[tex]H_i=mc_i(T_0-T_{-15})+mL_f+mc_w(T_1-T_0)_[/tex]

where ci = specific heat capacity of ice

Lf = latent heat of fusion of ice

Therefore, we can substitute this into the original formula:

[tex]m_gc_g(T_1-T_2)+m_tc_t(T_1-T_2)=mc_i(T_0-T_{-15})+mL_f+mc_w(T_1-T_0)_[/tex]

Solving for m in the equation above, the mass of ice needed is:

[tex]\begin{gathered} (0.6*837*(19-1))+(1.2*4186*(19-1))=(m*2090*(0-(-15)))+(m*33400)+(m*4186*(1-0)) \\ \\ 9039.6+90417.6=31350m+334000m+4186m \\ \\ 99457.2=369536m \\ \\ m=\frac{99457.2}{369536} \\ \\ m=0.269kg=269g \end{gathered}[/tex]

That is the mass of ice needed.

four rivers have the same volume of water flow over time but fall from the different heights to power hydroelectric dams. which dam would provide most hydroelectric power?

A. dam c: fall height of 135 feet
B. dam B: fall height of 75 feet
C. dam A: fall height of 175 feet
D. dam D: fall height of 100 feet

Answers

Answer:

I thibknits 175

Explanation: It's the furthest

A boat (with a flat bottom) and its cargo weigh 5,200 N. The area of the boat's bottom is 3 m2. How far below the surface of the water is the boat's bottom when it is floating in water?

Please Help!!!

Answers

The bottom of the boat is 17.3 centimeters below the surface of water when it is floating in the water.

According to Archimedes' principle,

The upward force applied on the body floating in the liquid s equal to the mass of the liquid displaced by the body.

This upward force is called Buoyancy,

The buoyancy B is given by,

B = Volume displaced x density of liquid x Gravity.

Here,

B = weight W of the boat because the boat is floating on the surface,

Volume of the water displaced = volume of the boat submerged

Volume V of boat submerged = base area A of boat x height H till it is submerged

So, now we can write,

B = W

B = AHDg

W = AHDg

Value of g is 10 m/s²,

D is the density of water i.e. 10³ kg/m³

W = 5200 N

Putting all the values,

5200 = 10³x3xHx10

H = 0.173 meters

So, the boat is 17.3 cm below the water surface.

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A 12.0 kg bucket is lowered vertically by a rope in which there is 163 N of tension at a given instant. Is the acceleration up or down?

My question here is that if the bucket is being lowered, isn't the acceleration already down? So why does the answer say that the acceleration is up?

Answers

Answer:

up  

Explanation:

If not moving then tension would be   12.0 * 9.81 = 117.7 N

  More N means going up    Less N means going down

Going UP

Answer:

Explanation:

Given:

m = 12.0 kg

T = 163 N

g = 9.8 m/s²

___________

a - ?

Resting bucket weight:

P = m*g = 12.8*9.8 ≈ 125 Н

P <  T  (125 < 163),

This means that the bucket is being lifted with acceleration upwards!

T = m*(g + a)

(g + a) = T / m

a =T / m - g

a = 163 / 12.0 - 9.8 ≈ 3.8 m/s²

Lesson 6 Atoms
Write a descriptive essay about radioactive decay.
Include the following essential content points:
*ideas about what causes radioactive decay
*the rate at which radioactive decay occurs

Answers

Radioactive decay is the emission of power inside the shape of ionizing radiation.

Ionizing radiation can have an effect on the atoms in dwelling things, so it poses a health danger by using negative tissue and DNA in genes.. The ionizing radiation that is emitted can consist of alpha debris.

In alpha decay, the nucleus loses two protons. In beta decay, the nucleus either loses a proton or gains a proton. In gamma decay, no alternate in proton quantity takes place, so the atom does no longer end up a specific element.

Radioactivity is the term used to explain the natural procedure via which some atoms spontaneously collapse, emitting both particles and power as they remodel into exclusive, greater solid atoms. This technique, also called radioactive decay, occurs due to the fact unstable isotopes have a tendency to transform into a more stable country.

Radioactive decay is very critical for a wide range of human sports, from medicinal drug to power production and past, and also to astronomers. The simplest manner that this will happen is by way of converting the range of protons in the nucleus.

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Scientific laws tell us what we can expect under certain circumstances, but what do they fail to explain?
OA. when
OB. why
OC. where
O D.
how

Answers

B. Why
Because they don’t know why

Find the answer to the problem

Answers

When F1 that is given  21 N and mass of the box is 2.8 kg then F2 is calculated to be 12.32 N

Newton's second law states that the force acting on an object is equal to the mass of an object times its acceleration. This means the more mass of an object, the more force is needed to accelerate it. Greater the force, the greater is the acceleration of the object.

It is given as : F=ma

where 'm' is the mass and 'a' is acceleration.

Given mass = 2.8 kg and F1= 21N

a= 3.1 m/s^2

When two forces are in the opposite directions the net force is the difference between them.

F1 - F2 = m* a

21 - F2 = 2.8* 3.1

21 - F2 = 11.78

F2= 21 - 11.78

= 9.22 N

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Draw a supply graph for pizzas. Show what would happen to the supply of pizzas if two more pizzerias open up in town. Identify the determinant of supply that caused the shift.

Answers

The supply curve will move to the correct, demonstrating an increment within the add-up to the amount of pizza as of now on the advertisement, in case two or more pizzerias open within the community.

To encourage data on the important picture, see the subtle elements underneath and the attachment.

The add up to several items and administrations that businesses in a country's economy point to offer inside a particular time outline is known as total supply, too known as residential last supply in economics.

It is the overall number of merchandise and administrations that businesses in an economy are arranged and able to offer for sale at a particular cost point.

A alter in supply is characterized as a move to the cleared out or right within the general price-quantity relationship that shapes a supply shift. A alter in supply is characterized as a move to the cleared out or right within the general price-quantity relationship that shapes a supply bend.

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Please help me

how law of motion applied in basketball need step by step explain ​

Answers

Answer:

- Assume a player s meters dunks a ball at an angle theta at an initial velocity Vo, through a net h meters from the ground.

- From Newton's first law of motion; a body remains in its state of motion unless acted upon by an external force.

[tex]{ \rm{v = u + at}}[/tex]

- Since it undergoes projectile motion, there is both vertical and horizontal motion;

Vertical motion:

[tex]{ \rm{v _{y} = u _{y} - gt }} \\ { \rm{v \sin( \theta) = u \sin( \theta) - gt }}[/tex]

- To find the vertical displacement moved by the ball. Let H be the vertical displacement moved by the ball

[tex]{ \rm{H =( u \sin( \theta) - \frac{1}{2} g {t}^{2} ) + h}} \\ \\ { \rm{}}[/tex]

Horizontal motion (g = 0);

[tex]{ \rm{v _{x} = u _{x} }} \\ \\ { \rm{s = u \cos( \theta) t}}[/tex]

The half-life of Carbon-14 is 5700 years. If we start with 64 g of this
isotope, how many years would pass before the amount is reduced to 1 gram?

Answers

The Carbon 14 isotope will take 34200 years to reduce to 1 gram if the half-life of the isotope is 5700 years.

Half-life is the amount of time it takes an unstable isotope to decay to half of its initial value. It is identified as [tex]t_{1/2}[/tex].

Applying, the half-life formula:

A = A'( [tex]2^{x/y}[/tex] )

Where A is the original mass of Carbon-14, A' is the final mass of carbon-14 after decaying, x is the total time, and y is the half-life.

We have,

A = 64 g, A' = 1 g, y = 5700 years.

Substitute these values in the equation,

A = A'( [tex]2^{x/y}[/tex] )

64 = 1 ( [tex]2^{x/5700}[/tex])

64 =  [tex]2^{x/5700}[/tex]

[tex]2^{x/5700}[/tex]  = 2⁶

Therefore,

x/5700 ≈ 6

Multiplying each side of the equation by 5700

x ≈ 6 × 5700

x ≈ 34200 years

Hence, it will take 34200 years for the isotope to reduce to 1 gram.

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A positive charge of 0.00017 C is 13 m from a negative charge of 0.00024 C. What is the force of one of the charges due to the other charge in units of
Newtons?
Round your answer to 5 decimal place.

Answers

The Coulomb's inverse-square law, sometimes known as Coulomb's law, is an experimental physical principle that measures the force exerted between two electrically charged particles that are stationary. Common names for the electric force between two charged objects at rest include electrostatic force and Coulomb force.

Coulomb's Law states that F = kQ1Q2 / r2 represents the force between charges Q1 and Q2 separated by a distance r. If the indicators of charge are in opposition to one another, F is enticing, and if they are in agreement, F is repulsive.

The resultant force between the two charges is denoted by "F." "r" is the separation between the two charges. You only need to be aware that the "r" stands for "radius of separation" because it is merely a distance. The values of "q1" and "q2" represent the charges that each of the particles has.

F = kQ1Q2/d2

F = -(9 x 109 Nm²/C²)(0.00017 C)(0.00024 C) / (13 m)²

  = - 3.07883e^(-6) N

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Which effect does a magnetic field have on a moving charge?

Answers

The charged particle will experience a force whose magnitude will be q(V×B).

When a particle of charge q with a constant velocity V is moving inside a magnetic field B.

A force is applied by the magnetic field on the charge.

This force F is given by,

F = q(V×B)

F = qVBsinA

Where, A is the angle between the magnetic field and velocity of the charges particle.

If the charge enters perpendicular to the field, then the force is applied on the charge in such a way that the path of charged particle formed spiral path.

The direction of the force on the particle is given by Fleming's left hand rule.

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A certain star has an absolute magnitude of 1.0 and an apparent magnitude of 5.4. How far away is this star (in parsecs)?

Answers

The star whose absolute magnitude is 1.0 is 0.0128 pc away from the earth.

What is Star?

Stars are huge celestial bodies made mostly of hydrogen and helium that produce light and heat from the churning nuclear forges inside their cores.

Given is a certain star has an absolute magnitude of 1.0 and an apparent magnitude of 5.4.

We can write the relation absolute magnitude [M] and apparent magnitude [m] as follows -

M = m + 5(log₁₀p + 1)

Assume that the star is [x] light years away from earth. Then, we can write the above equation as -

M = m + 5[log₁₀ (x/3.2616)+ 1]

1 = 5.4 + 5[log₁₀x - log₁₀ 3.2616 + 1]

1 - 5.4 = 5[log₁₀x - 0.5134 + 1]

- 4.4 = 5[log₁₀x + 0.4866]

- 4.4 = 5log₁₀x + 2.433

- 4.4 - 2.433 = 5log₁₀x

- 1.37 = log₁₀x

x = 0.042 light years

Now, in 1 pc there are 3.2616 light years.

In 1 light year there will be (1/3.2616) pc

So, in 0.042 light years there will be (1/3.2616 x 0.042) = 0.0128 pc

Therefore, the star whose absolute magnitude is 1.0 is 0.0128 pc away from the earth.

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A leaf on a tree is what level of organization?

Answers

one of the organs of a plant system.

Lesson 9 Intro . to Motion
Write a compare and contrast essay addressing these essential content points.
*Compare and contrast speed, velocity, and acceleration.
*List the SI units for speed, velocity, and acceleration.

Answers

Speed is the total distance covered by a given time or rate of change of distance per unit time is called speed. It is scalar quantity and its S.I. unit is m/s.

Velocity is the displacement  covered in a given time or rate of change of displacement per unit time is called velocity. It is vector quantity and its S.I. unit is m/s.

Acceleration is the rate of change of velocity per unit time. It is vector quantity and its S.I. unit is m/[tex]s^{2}[/tex].

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An object is undergoing SHM with a frequency of 4 Hz and amplitude 1.8 cm. How long does it take the part togo from O to -1.8 cm?

Answers

Frequency= f = 4Hz

Amplitude = A = 1.8 cm

x= 0 , x= -1.8 cm

Apply:

frequency = 1 / time period

f = 1 / T

T = 1/f = 1 / 4 = 0.25 s

Time to complete one cycle = 0.25 s

To reach -1.8 cm:

t = T/4

t = 0.25 / 4 = 0.0625 s

Answer: 0.0625 s

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