Two metal balls A and B of negligible radius are floating at rest on Space Station Freedom between two metal bulkheads, connected by a taut nonconducting thread of length 2.80 m. Ball A carries charge q, and ball B carries charge 2q. Each ball is 1.18 m away from a bulkhead.
(a) If the tension in the string is 2.10 N, what is the magnitude of q?
(b) What happens to the system as time passes? Explain.

Answers

Answer 1

Answer:

(a) The magnitude of q is 2.52 × 10⁻⁷ C.

(b) As time passes, the system will remain at rest because the net force on each ball is zero.

Explanation:

(a) We can use Coulomb's Law to find the magnitude of q. Coulomb's Law states that the magnitude of the electrostatic force between two point charges is given by:

F = k |q₁q₂|/r²

where k is Coulomb's constant, q₁ and q₂ are the magnitudes of the charges, and r is the distance between them. In this case, the electrostatic force between the two balls is equal to the tension in the string:

T = k |q(2q)|/r²

We can rearrange this equation to solve for q:

q² = Tr²/(2k)

q = √(Tr²/(2k))

Plugging in the given values:

q = √((2.10 N)(2.80 m)²/(2(8.99 × 10⁹ N·m²/C²)))

q = 2.52 × 10⁻⁷ C

(b) As time passes, the system will remain at rest because the net force on each ball is zero. The electrostatic force between the two balls is balanced by the tension in the string, and the force of gravity is balanced by the normal force from the bulkheads. Therefore, there is no net force on either ball, and they will remain at rest.

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Related Questions

PLEASE ANSWER FASG I WILL MARK BRAINELIST PLEASEEEEE
The number of protons in the nucleus of an atom determines the species of the atom, i.e., the element to which the atom belongs. An atom has the same number of protons and neutrons. But the electron number cannot be used instead because (5 points)
a. electrons are not within the nucleus
b. electrons are negatively charged
c. electrons can be removed from or added to an atom
d. electrons are lighter than protons

Answers

The electron number cannot be used instead because electrons can be removed from or added to an atom (option C)

Why the electron number cannot be used instead?

The element of an atom is determined by its proton count, while the electron count can exhibit variability. Take, for instance, a sodium atom, which encompasses 11 protons and 11 electrons. However, it has the capacity to relinquish one electron, transforming into a sodium ion housing only 10 electrons.

This occurs due to the relatively loose binding of electrons to the nucleus, enabling their removal through the influence of an electric field or alternative mechanisms.

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EXPERIMENT: COMPARING HARDNESS AND DENSITY OF SOLIDS 100 POINTS I NEED THIS DONE
In this activity, you will identify several minerals, then you will compare the minerals to determine if there is a relationship between the hardness of a sample and its density. You should consider the factors that determine the density and the hardness of a material and then form a hypothesis as to whether you believe these two properties will show a correlation. If they show a correlation, it may indicate that one property depends on or is in some way related to the other property. You should consider this in making your hypothesis. If two properties have a positive correlation, then the graph of their values will be a straight line. You will use this fact to test the accuracy of your hypothesis.
OBJECTIVES
Use several tests, including hardness to identify 6 minerals.
Using hardness and density data, creating a graph.
Explain how to interpret a positive or negative correlation between graphed values.

Answers

Answer:

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Answer: My hypothesis was that the future results of the experiment would show a correlation. According to my data, my hypothesis was correct. The file uploaded to this assignment shows that the graph is a correlation but not a 100% positive correlation because if you imagined there was a straight line there, the points would be completely aligned. The correlation is simply a “positive correlation”. Some of the difficulties I had when performing the experiment was distinguishing which type of luster was for each mineral because the light almost looked the same with other minerals. You might change the procedure to avoid this problem in the way of getting all the rest of the results for that specific mineral and then look at which of the graph with the answers was most alike and then you can see why the luster is that certain result in that data which is the correct one. A graphical analysis can be used to explore the relationship between any two scientific variables by changing the numerical data of the experiment into a graph, which is a much more effective and easier way of interpreting the gathered results. It's easier to visualize a graph data than read all the tables with numbers.

The graph is in the attachment below and the 6 minerals also with their names, their density, and their hardness

EXPERIMENT: COMPARING HARDNESS AND DENSITY OF SOLIDS 100 POINTS I NEED THIS DONEIn this activity, you

Define sporulation and fragmentation​

Answers

Answer:

Sporulation

the formations of spores from vegetative cells during unfavorable environmental conditions

Fragmentation

The asexual reproduction, where the body of the organism breaks into smaller pieces

Fragmentation: The breaking up of the body of organisms into two or more pieces or fragments on maturing, each of which subsequently can grow into a completely new organism is called fragmentation.

Definition of sporulation

: the formation of spores

sporulation refers to the formation of spores from vegetative cells during unfavorable environmental conditions. As such, it may be described as an adaptive response that allows the organism to survive given adverse conditions (radiation, extreme heat or cold, lack of nutrition etc).

A drone accelerates from rest to a speed of 300 m/s in 3 s. What is the acceleration of the drone? How far will the drone go?

Answers

Answer:

(i) 100 m/s²

(ii) 450 m

Explanation:

From the question,

Using,

(i) a = (v-u)/t................. Equation 1

Where a = acceleration of the drone, v = final velocity of the drone, u = Initial velocity of the drone, t = time.

Given: v = 300 m/s, u = 0 m/s (from rest), t = 3 s

Substitute these values into equation 1

a = (300-0)/3

a = 300/3

a = 100 m/s²

Hence the acceleration of the drone is 100 m/s²

(ii) using,

s = ut+at²/2.................... Equation 2

Where s = distance traveled by the drone.

also substitute the values above into equation 2

s = 0(3)+100(3²)/2

s = 50×9

s = 450 m

You're 6.0 m from one wall of a house. You want to toss a ball to your friend who is 6.0 m from the opposite wall. The throw and catch each occur 1.0 m above the ground.(Figure 1) Assume the overhang of the roof is negligible, so that you may assume the edge of the roof is 6.0 m from you and 6.0 m from your friend.
What minimum speed will allow the ball to clear the roof?
At what angle should you toss the ball?
Please explain for 5stars

Answers

The ball needs to go at least  speed is 13 m/s per second to be able to clear the ceiling.

angle should you toss the ball 46.26°.

From the query, we learn that

We are 6.0 metres away from one home wall.

who is 6.0 metres from the wall across from you.

Both the throw and the catch take place one metre above the ground.

Assume that you and your companion are both 6.0 metres from the edge of the roof.

The Newtons equation for the distance is typically expressed numerically as

\(s=v*t+\frac{a}{2}*t^{2}\\5=0*t+4.9*t^{2}\\t=1.04\)

Therefore

\(2*t = 2.0s\)

Where

\(18=V_{x} *2.0\\V_{x} =8.9\)

And

\(5=V_{y} *1.04-4.9*1.04^{2}\\V_{y} =9.8\)

Therefore

\(V=\sqrt{V_{y}^{2}+V_{x} ^{2} } \\V=\sqrt{(9.8)^{2}+(8.9)^{2}} \\\V=13m/s\)

In order to determine the angle at which you should toss the ball, you must first calculate the distance between you and your friend. This is done by using the Pythagorean Theorem to calculate the hypotenuse of the right triangle formed by the two walls and the distance between you and your friend:

\(C = \sqrt (6.0m)^2 + (6.0m)^2 \\ = 8.485m\)

Now you can calculate the angle using trigonometry. Since the triangle is a right triangle, you can use the inverse tangent function to calculate the angle:

tan⁻¹\((\frac{6.0m}{8.485m})\) = 46.26°

Therefore, you should toss the ball at an angle of 46.26°.

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what change in the gravitation occurs if the distance between two bodies is doubled by keeping the mass constant?​

Answers

Explanation:

Force of gravity = G m1 m2 / r2

now double 'r'

Force = G m1 m2 / (2r) ^2

Force = 1/4  G m1 m2 / r^2     <=====this is 1/4 of the original force of gravity

Which statement about oceans is incorrect?

A Evaporation occurs when water is warmed by the sun.
B Most evaporation and precipitation occur over the ocean.
C 97 percent of Earth's water is fresh water from the ocean.
D Water leaves the ocean by the process of evaporation.

Answers

It is C because less than one percent of water is fresh water

A 200 gram sample of metal is warmed from 50°C to 80°C when 100 calories of heat are added. What is he specific heat capacity of the metal?

Answers

Given:

The mass of the sample is

\(m=200\text{ g}\)

The initial temperature is

\(t_i=50\text{ }\degree C\)

The final temperature is

\(t_f=80\text{ }\degree C\)

The amount of heat is,

\(H=100\text{ cal}\)

To find:

The specific heat capacity of the metal

Explanation:

Let the specific heat capacity is 'c'

The amount of heat for the temperature change is,

\(H=mc(t_f-t_i)\)

Substituting the values we get,

\(\begin{gathered} 100=200\times c\times(80-50) \\ 100=200\times c\times30 \\ c=\frac{100}{200\times30} \\ c=0.016\text{ cal/g.}\degree C \end{gathered}\)

Hence, the specific heat capacity is

\(0.016\text{ cal/g.}\degree C\)

Electric field inside a charged rubber balloon is maximum or zero?

Answers

The answer will be maximum.

Two positively charged spheres are in deep space where gravity is negligible. The spheres are held in place near
each other and then released from rest. What happens to the electric potential energy of the two-sphere system,
and in what direction do the spheres move, after they are released?
The electric potential energy increases as the spheres move farther away from each other.
The electric potential energy increases as the spheres move closer to each other.
The electric potential energy decreases as the spheres move farther away from each other.
The electric potential energy decreases as the spheres move closer to each other.

Answers

The electric potential energy decreases as the spheres move farther away from each other.

Since, they are like charges, the charged spheres will repel. Therefore, when it moves away, the distance between them increases, as a result the electric potential energy decreases.

As the two spheres separate from one another, the electric potential energy of the system will be transformed into kinetic energy. The movement of the spheres will be in opposite directions, away from one another.

The system's overall energy must remain constant according to the law of conservation of energy, but when the spheres separate from one another, potential energy is transformed into kinetic energy.

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A force of 20 Newtons moves a box 2.0 meters and does 40 N*m of work. How many Joules is this?

Answers

1 N*m = 1 Joule

40 N*m = 40 joules

Consider a thin hoop and a uniform cylinder of equal mass and radius competing in a race down a ramp. Write a general formula for the conservation of energy for both the hoop and the cylinder.

Answers

The general formula for the conservation of energy for both the hoop and the cylinder can be expressed as: Etotal = Ekinetic + Epotential

What is energy?

Energy is the capacity of a system or object to do work. It is the ability to cause change by transferring energy from one object to another. Energy can take many forms, such as kinetic energy (energy of motion), potential energy (stored energy), thermal energy (energy from heat), electrical energy (energy from the flow of electrons), chemical energy (energy stored in chemical bonds), and nuclear energy (energy stored in the nucleus of an atom).

Where Etotal is the total energy, Ekinetic is the kinetic energy and Epotential is the potential energy.

Therefore, the general formula for the conservation of energy for both the hoop and the cylinder can be expressed as:

Etotal = (1/2 mv2) + (mg * h)

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) The graph in the figure shows the position of a particle as a function of time as it travels along the x-axis.
What is the average velocity of the particle between t = 2.0 s and t = 4.0 s?

Answers

The average velocity of the particle between t = 2.0 s and t = 4.0 s is 4 m/2.0 s = 2.0 m/s.

What is average velocity?

Average velocity is the rate of change of an object's position, expressed as a vector quantity that tells both the speed and direction of the object's motion.

The average velocity of the particle between t = 2.0 s and t = 4.0 s can be calculated by taking the difference in the x-position of the particle at t = 4.0 s and t = 2.0 s, and dividing it by the difference in the time.
The x-position of the particle at t = 2.0 s is 4 m and the x-position of the particle at t = 4.0 s is 8 m.
Therefore, the difference in the x-position is 8 m - 4 m = 4 m.
The difference in time is 4.0 s - 2.0 s = 2.0 s. Therefore, the average velocity of the particle between t = 2.0 s and t = 4.0 s is 4 m/2.0 s = 2.0 m/s.

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A student is investigating the transfer of thermal energy. The student boils a pot water, removes the pot from the burner, and adds ice cubes to the water Which
direction is the thermal energy flowing in this system?
A from the solid ice to the air
OB from the liquid water to the pot
C from the liquid water to the solid ice
D
from the solid ice to the liquid water

Answers

Answer:

C from the liquid water to the solid ice

Explanation:

The direction of heat flow is from the liquid water to the solid ice. Thermal energy generally flows from a body at a high temperature to one at lower temperature values.

Heat is measure of the average kinetic energy of the particles of a medium. The ice is at a lower temperature The boil water has higher temperature

Heat will flow from the boiled water to the solid ice mass.

The thermal energy moves from the liquid water to the solid ice because heat energy moves from hotter body to colder body.

Direction of thermal energy

Thermal energy moves from hotter body to colder body so we know that in this experiment water is a hotter body whereas ice cubes are colder body so the heat energy will definitely moves from hot body to the cold body.

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A crowbar of 200 cm long is pivoted about to its other end to displace a load of 600 N. 0.5 m Calculate MA, VR and efficiency of the crowbar.

Answers

The mechanical advantage of the crow bar is 3 while the velocity ratio is 4. The efficiency of the machine is 75%.

What is the efficiency of the crow bar?

We know that a machine is any device that can be used to make work a lot much easier. Thus, the machine is the object that could make less effort to be applied in making a greater work to be done as we can see in this case we have here.

From the question, the pieces of information that we can get are;

Distance moved by Effort = 200 cm

Distance moved by load = 0.5 m or 50 cm

Velocity ratio = Distance moved by Effort/Distance moved by load

= 200 cm /50 cm

= 4

Mechanical advantage is found to be; Load/Effort

= 600 N/200 N

= 3

Efficiency = Mechanical advantage/ Velocity ratio * 100/1

= 6/4 * 100/1

=3/4 * 100/1

= 75%

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Heather and Matthew take 45 s to walk eastward along a straight road to a store 72 m away. What is their average velocity?

Answers

Answer:

v = 1.6 m/s

Explanation:

Given that,

Distance, d = 72 m

Time taken, t = 45 s

We need to find their average velocity. Average velocity of an object is given by total distance divided by total time taken.

\(v=\dfrac{d}{t}\\\\v=\dfrac{72\ m}{45\ s}\\\\v=1.6\ m/s\)

So, their average velocity is 1.6 m/s.

As rotational speed increases, thrust____?

increases exponentially.

increases at the same rate.

decreases exponentially.

decreases at the same rate

Answers

Increases exponentially is your correct answer

What question did use of a telescope by hubble answer A) Is earth the center of the universe B) Is the sun the center of the universe C) How do the planets move in the solar system D) Are there more galaxies beyond the milky way

Answers

Answer: C

Explanation:

The characteristics and problems of telescopes we can find the correct answer to the question that the Hubble telescope helps to answer is:

           D) Are there more galaxies beyond the milky way

Telescopes are instruments that can perceive very small amounts of light and have very large magnifications, in general to be able to see objects increasingly weak in intensity, telescopes become larger and the observation times of the object increase.

When we increase the observation times, the problem is that atmospheric movement changes the observation conditions and makes it difficult to obtain good images. One way to solve the problem was with telescopes in near space, the environmental disturbance is eliminated.

When the Hubble telescope was placed in space, there were already many answers but they continue to wonder what the limit of the universe is, this telescope allowed us to observe a body much farther away than ground-based telescopes, which is why it answered the question how many and to where there are galaxies out of the milky way.

Let's review the statements given to see the correct ones;

A) False. Copernicus clarified that the Sun is the center of the solar system

B) False. The center of the universe is not known, but the sun is a star in one of the arms of the milky way that is not the center of the universe either.

C) False. It has been known for a century what the movement of the planets in the solar system

D) True. The telescope in space allowed us to expand the limit of vision of the universe and respond to where there are galaxies outside the Milky Way.

In conclusion with the characteristics and problems of telescopes we can find the correct answer to the question that the Hubble telescope helped to answer is:

      D) Are there more galaxies beyond the milky way

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What question did use of a telescope by hubble answer A) Is earth the center of the universe B) Is the

the potential energy function for a system of particles is given by u(x) 5 2x3 1 2x2 1 3x, where x is the posi- tion of one particle in the system. (a) determine the force fx on the particle as a function of x. (b) for what values of x is the force equal to zero? (c) plot u(x) ver- sus x and fx versus x and indicate points of stable and unstable equilibrium.

Answers

W = -mgytotal = -mgh is the total work performed by the gravitational force. Ug = mgh represents the change in potential energy. A potential energy function depends on an object's position.

How can the force on a potential energy graph be determined?

By taking the derivative of the potential, the force at every place may be determined if the potential energy function U(x) is known. This indicates graphically that if we have potential energy vs. position.

What does equilibrium's potential energy look like?

Potential energy and equilibrium are related in that in an equilibrium like this, the body's potential energy is lower. In this case, when the body is moved a short distance, the state generates a force that does not oppose the movement.

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How much energy is contained in matter with a mass of 1 gram (0,001 kilogram)?

Answers

Answer:

1 gram of matter contains: 299,792,458^2=8.99 x 10^13 Joules=~21,500 Tons of TNT explosives, which is almost exactly the size of the atomic bomb dropped on Nagasaki in WW2. Guest May 17, 2016 #2

Hope this helped!

Explanation:

In an electromagnet, why must the wire be connected to the battery for the magnet to work?

Answers

Answer:

Some of the copper wire needs to be exposed so that the battery can make a good electrical connection. ... You need to do this because the direction of a magnet field depends on the direction of the electric current creating it. The movement of electric charges creates a magnetic field.

Explanation:

In an electromagnet, it must the wire be connected to the battery for the magnet to work the current is flowing through into the wire once it is introduced.

What is a magnetic field?

The magnetic field is defined as the field the magnetic materials generate or when an electric charge moves in a field region that generates the magnetic field.

As we know, the electricity is often used to generate a magnetic field in electromagnets.

The current is flowing through into the wire once it is introduced, from either a battery or maybe another source of electricity. The looped wire is magnetized as if it were a magnetic material as a function of the magnetic field created around it.

Thus, in an electromagnet, it must the wire be connected to the battery for the magnet to work the current is flowing through into the wire once it is introduced.

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The propeller of an aircraft accelerates from rest with an angular acceleration α = 7t + 8, where α is in rad/s2 and t is in seconds. What is the angle in radians through which the propeller rotates from t = 1.00 s to t = 6.10 s?

Answers

Answer:

The value  is  \(\theta =407.3 \ radian\)

Explanation:

From the question we are told that

    The angular acceleration is  \(\alpha = (7t + 8) \ rad/ s^2\)

    The first time is  \(t_1 = 1.00 \ s\)

    The second time \(t_2 = 6.10 \ s\)

Generally the angular velocity is mathematically represented as

     \(w = \int\limits {\alpha } \, dt\)

=>  \(w = \int\limits {7t + 8 } \, dt\)

=>  \(w =\frac{ 7t^2}{2} + 8 t\)

Generally the angular displacement  is mathematically represented as

\(\theta = \int\limits^{t_2}_{t_1} { w} \, dt\)

=>  \(\theta = \int\limits^{t_2}_{t_1} { \frac{7t^2}{2} + 8t } \, dt\)

=>  \(\theta = { \frac{7t^3}{6} + \frac{8t^2}{2} } | \left \ t_2} \atop {t_1}} \right.\)

=> \(\theta = { \frac{7t^3}{6} + 4t^2} } | \left \ 6.10} \atop {1}} \right.\)

=> \(\theta =[ { \frac{7}{6}[6.10 ]^3 + 4[6.10]^2} } ] -[ { \frac{7}{6}[1 ]^3 + 4[1]^2} } ]\)

=> \(\theta =407.3 \ radian\)

1. A Ograph A Ograph B Ograph c Which graph represents what happens to the pressure in a tire as air is added to the tire, assuming the temperature is constant? ​

1. A Ograph A Ograph B Ograph c Which graph represents what happens to the pressure in a tire as air

Answers

Answer:

Explanation:

It's graph A because the pressure in the tire is increasing as the amount of air going into it increases. B says the pressure drops exponentially as air goes in, and C says that the pressure stays the same as air goes in. Pressure in a tire increases proportionally to the amount of air in it.

If a tennis racquet is briefly in contact with a 0.058 kg tennis ball initially traveling at -9.0 m/s* and then (after contact) the tennis ball moves with a velocity of 9.0 m/s.* If the time the racquet is in contact witht the ball is 0.004 seconds, what is the average force of the racquet on the ball? *Negative velocities mean towards the left and positive velocities mean towards the right.​

Answers

The average force of the racquet on the ball, given that the time the racquet is in contact with the ball is 0.004 seconds, is 261 N

How do i determine the average force of the racquet?

The following data were obtained from the question:

Mass of tennis (m) = 0.058 KgInitial velocity (u) = -9 m/sFinal velocity (v) = 9 m/sTime (t) = 0.004 secondsAverage force (F) =?

We can easily obtain the average force of the racquet on the ball as follow?

F = m(v - u) / t

F = [0.058 ×(9 - -9)] / 0.004

F = [0.058 ×(9 + 9)] / 0.004

F = [0.058 × 18] / 0.004

F = 1.044 / 0.004

F = 261 N

Thus, we can conclude from the above calculation that the average force on the ball is 261 N

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Suppose a 3000 cm3 container holds 7.0 g of nitrogen gas at a pressure of 200 kPa. The gas can be heated at constant pressure if a piston moves outward to let the gas expand as it's heated. Alternatively, the gas can be heated at constant volume if the piston is locked in place to prevent expansion. How does the heat required for one of these processes compare to the heat required for the other process?

1. What is the starting temperature of the gas?
2. With the piston locked in place, the gas is heated until the pressure doubles. What is the final temperature?

Answers

1) The starting temperature of the gas is 288 K

b) When the pressure is doubled, the temperature is 576 K

What is the temperature?

We know that we have to use the ideal gas equation so as to be able to obtain the temperature of the starting of the gas and we know that;

Pressure = 200 kPa or 1.97 atm

Volume =  3000 cm3  or 3 L

Temperature = ?

Number of moles = mass/molar mass = 7 g/28 g/mol = 0.25 moles

Then we have;

PV = nRT

T = PV/nR

T =  1.97 * 3/0.25 * 0.082

T = 5.91/0.0205

T = 288 K

If the pressure doubles and we have;

P1/T1 = P2/T2

P1T2 = P2T1

T2 = 2(1.97) * 288/1.97

T2 = 576 K

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3. The distance from New York to Los Angelos is 2789.5 miles. Express this measurement
to ft.

What’s the answer

Answers

Answer:

14,728,560 feet

Explanation:

1 foot is 5280 feet multiply by 2789.5 and get this

What are two reasons early astronomers developed the geocentric model of
the solar system?
A. The model could explain why all the stars move in the same way
across the sky.
B. The model could explain why moons revolve around other planets
and not around the Sun.
C. The model could explain the apparent motions of the Sun and
Moon across the sky.
D. The model could explain the apparent backward motion of some
of the planets in the sky.

Answers

The two reasons early astronomers developed the geocentric model of the solar system are:

C. The model could explain the apparent motions of the Sun and Moon across the sky.

D. The model could explain the apparent backward motion of some of the planets in the sky.

The geocentric model, also known as the Ptolemaic model, was a model of the solar system in which the Earth was at the center and the Sun, Moon, and planets revolved around it. This model was developed by the ancient Greeks and was widely accepted for many centuries. It was able to explain the apparent daily motion of the stars and the annual motion of the Sun across the sky, as well as the apparent backward motion of some of the planets, known as retrograde motion. However, it was eventually superseded by the heliocentric model, which placed the Sun at the center of the solar system and was able to better explain the observed motions of the planets.

Answer:

C And A

Explanation:

Hope this helps. Take care and have a good day

Question is attached

Question is attached

Answers

(a) The elevator is be moving upwards and accelerating upwards.

(b) The acceleration of the student is 0.5 m/s².

What is the net force of the elevator?

The net force acting on the elevator is determined by applying Newton's second law of motion as shown below.

F (net) = Ws + We ( when the elevator is moving upwards )

F (net) = Ws - We ( when the elevator is moving downwards)

where;

Ws is the weight of the studentWe is the weight of the elevator

Since the resultant force of the elevator is greater than the weight of the student, the elevator must be moving upwards.

The mass of the student = 600 N / 9.8 m/s² = 61.22 kg

The acceleration of the student = ( 630  N - 600 N ) / ( 61.22 kg )

= 0.5 m/s²

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Fig above shows a wave traveling through a medium. Use the fig to answer the questions below.

A.)What is the amplitude of the wave ? Include correct units.
B.)Use the graph to determine the time of one wave. Use it to find the frequency.
C.)If the speed of the wave is 25 m/s, what is the wavelength of the wave ? Show data listing, equation , substitution leading to the answer for full credit.

Fig above shows a wave traveling through a medium. Use the fig to answer the questions below.A.)What

Answers

(a) The amplitude of the wave is 0.2 m.

(b) The period of the wave is  4 s.

(c) The wavelength of the wave is 100 m.

What is the amplitude of the wave?

(a) The amplitude of the wave is the maximum displacement of the wave.

amplitude of the wave = 0.2 m

(b) The period of the wave is the time taken for the wave to make one complete cycle.

period of the wave = 5.5 s - 1.5 s = 4 s

(c) The wavelength of the wave is calculated as follows;

λ = v / f

where;

v is the speed of the wavef is the frequency of the wave

f = 1/t = 1 / 4s = 0.25 Hz

λ = ( 25 m/s ) / 0.25 Hz

λ = 100 m

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A ball falls from height of 19.5 m, hits the floor, and rebounds vertically upward to height of 15.0 m. Assume that m ball = 0.215 kg.(a)What is the impulse (in kg · m/s) delivered to the ball by the floor?magnitude _____kg · m/sdirection _____(b)If the ball is in contact with the floor for 0.0300 seconds, what is the average force (in N) the floor exerts on the ball?magnitude _____Ndirection _____

Answers

The magnitude of the average force exerted by the floor on the ball during the collision is 215 N, and the direction is upward.

What is Potential Energy?

Potential energy is the energy that an object possesses due to its position or configuration relative to other objects, or due to the configuration of its internal components. It is a form of energy that is associated with the forces that act on an object, such as gravity, electric forces, and magnetic forces.

(a) To determine the impulse delivered to the ball by the floor, we can use the principle of conservation of energy to relate the ball's potential energy at the initial height to its potential energy at the rebound height, taking into account the loss of energy due to the collision with the floor. We can then use the impulse-momentum theorem to relate the impulse to the change in momentum of the ball during the collision.

The initial potential energy of the ball is given by:

PEi = mgh = (0.215 kg)(9.81 m/s^2)(19.5 m) = 41.6 J

At the rebound height, the potential energy is:

PEf = mgh = (0.215 kg)(9.81 m/s^2)(15.0 m) = 31.7 J

The loss of energy due to the collision is:

ΔPE = PEi - PEf = 9.9 J

This energy loss is due to both the work done by the force of gravity during the downward motion and the work done by the force of the floor during the upward motion. However, since the ball rebounds to a height that is less than its initial height, we know that the impulse delivered by the floor must be in the downward direction, opposite to the direction of the ball's motion during the collision.

Using the impulse-momentum theorem, we can write:

J = Δp = mΔv

where J is the impulse delivered by the floor, Δp is the change in momentum of the ball during the collision, and Δv is the change in velocity of the ball during the collision. Since the ball is moving downward before the collision and upward after the collision, we can write:

Δv = vf - vi = (15.0 m/s) - (-15.0 m/s) = 30.0 m/s

where vi is the initial velocity of the ball (before the collision) and vf is the final velocity of the ball (after the collision).

Thus, the impulse delivered to the ball by the floor is:

J = mΔv = (0.215 kg)(30.0 m/s) = 6.45 kg · m/s (downward)

So, the magnitude of the impulse delivered to the ball by the floor is 6.45 kg · m/s, and the direction is downward.

(b) To determine the average force exerted by the floor on the ball during the collision, we can use the definition of impulse as the product of force and time, and the fact that the ball is in contact with the floor for a known amount of time.

We know that the ball is in contact with the floor for 0.0300 seconds. Therefore, the average force exerted by the floor on the ball during the collision is:

Favg = J / Δt

where Δt is the time interval during which the impulse is delivered. In this case, Δt is equal to the contact time, which is 0.0300 seconds.

Thus, the average force exerted by the floor on the ball is:

Favg = J / Δt = (6.45 kg · m/s) / (0.0300 s) = 215 N (upward)

So, the magnitude of the average force exerted by the floor on the ball during the collision is 215 N, and the direction is upward.

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