Calculate the speed (V) of the electron so that it has double the resting mass.

Answers

Answer 1
Answer:

Explanation:

The relationship between the mass, resting mass, and speed of an electron is given as:

\(m=\frac{m_o}{\sqrt{1-\frac{v^2}{c^2}}}\)

If the mass is double the resting mass

m = 2m₀

Substitute this into the equation

\(2m_0=\frac{m_0}{\sqrt{1-\frac{v^2}{c^2}}}\)\(undefined\)

Answer 2

The speed (V) of the electron so that it has double the resting mass is = \(2.598\)×\(10^{8} m/s\)

The mass of an electron at speed V is given by the following equation:-

       \(M = \frac{Mo}{\sqrt{1-\frac{V^{2} }{C^{2} } } }\)

where Mo is the rest mass.

If, M = 2Mo,

\(2Mo = \frac{Mo}{\sqrt{1-\frac{V^{2} }{C^{2} } } }\)

\(2 = \frac{1}{\sqrt{1-\frac{V^{2} }{C^{2} } } }\)

or, \(1- \frac{v^{2} }{c^{2} } = \frac{1}{4}\)

or, \(V = (\frac{\sqrt{3} }{2} )C\)

\(V = 2.598\)×\(10^{8} m/s\)

where \(C = 2.997\)×\(10^{8} m/s\)

Hence, the speed of electron = \(V = 2.598\) ×\(10^{8} m/s\)

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Related Questions

Batman attempts to hide out in a Batbox.
The top is a mirrored surface, but the vertical
sides are made of clear Batplastic (refractive
index np = 1.333). It is located x = 2.9 m
horizontally from the edge of the pool.
What is the minimum depth (measured to
the top of the Batbox) that the Batbox can be
below the surface of the water for the Caped
Crusader to remain hidden from the Joker?
Assume: The Joker gets down close to the
water for the best view.
Answer in units of m

Answers

The arcsine of 1 is 90 degrees, the critical angle is 90 degrees.the minimum depth (measured to the top of the Batbox) is equal to the height of the Batbox.

To determine the minimum depth of the Batbox below the surface of the water for Batman to remain hidden from the Joker, we need to consider the principle of total internal reflection. When light travels from a medium with a higher refractive index to a medium with a lower refractive index, it can undergo total internal reflection if the angle of incidence exceeds the critical angle. In this case, the light traveling from water (refractive index nw = 1.333) to the Batplastic (refractive index np = 1.333) can undergo total internal reflection at the interface between the two.

To calculate the minimum depth, we need to find the critical angle. The critical angle can be determined using the formula:

Critical angle = arcsin(np/nw)

Given:

Refractive index of water, nw = 1.333

Refractive index of Batplastic, np = 1.333

Calculating the critical angle:

Critical angle = arcsin(1.333/1.333)

Critical angle = arcsin(1)

Since the arcsine of 1 is 90 degrees, the critical angle is 90 degrees.

To ensure that Batman remains hidden, the Batbox should be placed at a depth below the surface of the water such that the light undergoes total internal reflection. In this case, the minimum depth is determined by the height of the Batbox. Therefore, the minimum depth (measured to the top of the Batbox) is equal to the height of the Batbox. However, the specific height of the Batbox is not provided in the question, so it cannot be determined without additional information.

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Water is used to fill hot water bottles for
warming beds. A hot block of concrete
wrapped in a cloth can also be used.
Why are these two materials the best for
warming something up?

Worth 25 points!!!

Answers

Answer:

Because they both hold the heat

Question 17 of 25
Which two phrases describe critical thinking skills used in the pursuit of
science?
A. Concluding that one comet is more interesting than another
comet
B. Analyzing observations of a comet's velocity to estimate when it
will pass by the Sun again
OC. Gathering people's opinions about the historical impacts that
comet appearances had on society
D. Evaluating whether research into comets should be funded by the
government
E. Writing detailed descriptions of a comet's appearance as seen
through a telescope

Answers

The two phrases that describe the critical thinking skills used in the pursuit of science are options B and E. Analyzing  observations of a comet's velocity to estimate when it will pass by the sun again and writing detailed description of comet.

What is critical thinking skill?

Critical thinking skills are very important in scientific investigations and data interpretations. Thinking on an observation or scientific backgrounds of a phenomenon and solving complex problems and sorting it eventually leads to the accurate conclusions for the problem.

Here, the estimation of velocity of a comet for its passage around sun will involve critical thinking and use of some theoretical knowledge as well. Gathering of people's opinion or searching history or for fund does nor need any critical thinking.

Making a description of comet through he observation by telescope also need some critical thinking. Therefore, options B and E are correct.

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A bird is standing on an electric transmission line carrying 3000 A of current. A wire like this has about 3.0 x 10-5 22 of resistance per meter. The bird's feet are 6 cm apart. The bird itself has a resistance of about 4 x 105 12. The bird experiences a potential difference of 0.0054 V. What current goes through the bird?

Answers

Answer:

13.5 x 10^-9 A

Explanation:

Yes

The way in which one atom interacts with another atom is mostly influenced by the configuration of the
A. electrons farthest from the nucleus.
B. protons in the center of the nucleus.
C. electrons closest to the nucleus.
D. protons on the outer edge of the nucleus.

Answers

The way in which one atom interacts with another atom is mostly influenced by the configuration of the electrons farthest from the nucleus.

Option A.

What is atom?

An atom can be defined as the smallest part of a substance that cannot be broken down chemically. Each atom has a nucleus (center) made up of protons (positive particles) and neutrons (particles with no charge).

The arrangement of electrons in orbitals and shells around the nucleus is referred to as the electronic configuration of the atom.

Thus, we can conclude that the way in which one atom interacts with another atom is mostly influenced by the configuration of the electrons farthest from the nucleus.

The remaining options do not fit the empty space properly, and they include;

protons in the center of the nucleus.electrons closest to the nucleus.protons on the outer edge of the nucleus.

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Which of the following is NOT a scientific hypothesis?
A. Neon atoms emit red light.
B. There is an attractive force between the earth and moon.
C. Halle Berry is attractive.
D. Summer days are hottest
E. The sky is blue.

Answers

The following statement is not a scientific hypothesis:

C. Halle Berry is attractive.

A scientific hypothesis is a proposed explanation for an observation or pattern in nature that can be tested through further investigation and experimentation. It should be testable, falsifiable, and based on evidence.

Neon atoms emit red light. This is a scientific hypothesis that can be tested and confirmed by looking at the spectrum of light emitted by neon atoms.

B. There is an attractive force between the earth and moon. This is a scientific hypothesis that can be tested and confirmed by measuring the force of gravity between the earth and moon.

D. Summer days are the hottest of the year. This is a scientific hypothesis that can be tested and confirmed by collecting temperature data during the summer months.

E. The sky is blue. This is a scientific hypothesis that can be tested and confirmed by observing the sky under different atmospheric conditions.

The statement "Halle Berry is attractive" is a subjective opinion that cannot be tested or confirmed through scientific investigation, hence it is not a scientific hypothesis. Attractiveness, as a concept, can vary widely based on personal, cultural, and social factors.

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Can you answer this question with explanation?

Can you answer this question with explanation?

Answers

a) The magnitude of the electric field at the center of the semicircle is given by E = Xo/(2πR).

What is electric field?

An electric field is a physical field created by the presence of electric charge. It is an invisible force that can act on any other charged particles in its vicinity. Electric fields are generated by electric charges, or by time-varying magnetic fields.

The direction of the electric field is towards the center of the semicircle. This can be seen from the fact that the electric field is generated by the line of positive charge, thus pointing inwards.
b) The total force on the particle with negative charge -q placed at the center of the semicircle is given by F = -qE. Thus, the total force on the particle is given by F = -qXo/(2πR).
c) The magnitude of the electric field at the center of the semicircle is given by E = Xo/(2πR) cose. Here, cose is the cosine of the angle between the line of charge and the position of the particle. The direction of the electric field is still towards the center of the semicircle.
Bonus: If the semicircle has a total charge Q, the magnitude of the electric field at the center of the semicircle is given by E = Q/(2πR). The direction of the electric field is still towards the center of the semicircle.


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A roller coaster is at a peak of 20m and has a mass of 900kg. What is the potential energy of the roller coaster?
O 100000 J
10000 J
O 9.8 J
O 176400 J

Answers

The potential energy of the roller coaster is 176,400 J (joules).

The potential energy of an object is given by the formula PE = mgh, where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height or vertical position of the object.

In this case, the roller coaster is at a peak of 20m and has a mass of 900kg. The acceleration due to gravity, g, is approximately 9.8 \(m/s^2\).

Using the formula, we can calculate the potential energy:

PE = mgh

= (900 kg)(9.8 \(m/s^2\))(20 m)

= 176,400 J

Therefore, the potential energy of the roller coaster is 176,400 J (joules).

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Which of the following objects requires the MOST power to lift?

A. A 2 kg box lifted 1 m in 1 s.
B. A 2 kg box lifted 2m in 1 s.
C. A 2 kg box lifted 1 m in 2 s.
D. A 2 kg box lifted 2 m in 2 s.

Answers

The object requires the MOST power to lift  a 2 kg box 2 m in 1 s. Hence, option (B) is correct.

What is power?

The quantity of energy moved or converted per unit of time is known as power in physics. The watt, or one joule per second, is the unit of power in the International System of Units. Power is also referred to as activity in ancient writings. A scalar quantity is power.

Power required for lifting a 2 kg box 1 m in 1 s = (2×9.8×1)/1 watt = 19.6 watt.

Power required for lifting a 2 kg box 2 m in 1 s = (2×9.8×2)/1 watt = 39.2 watt.

Power required for lifting a 2 kg box 1 m in 2 s = (2×9.8×1)/2watt =9.8 watt.

Power required for lifting a 2 kg box 2 m in 2 s = (2×9.8×2)/2watt =19.6 watt.

So, The most power required in  lifting a 2 kg box 2 m in 1 s.

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A slanted surface used to raise an object is a(n)​

Answers

Answer:

Inclined Plane

Explanation:

A student is observing the motion of a bird relative to its nest. It goes from rest to a velocity of 4.0m/s[E] in 8.0s. It
then remains at rest for an additional 3.0s. Finally it reaches a velocity of 3.0m/s [W] in an additional time of 5.0s.
Based on this information create a position time, velocity time, and acceleration time graph. Make sure to include
all the elements of a good graph including a title, axis labels, and an accurate plot. Your d-T graph will have a level
of approximation but the key points should be accurate. 3 grids have been provided for you. Show your
calculations where necessary. [4 marks v-t, 5 marks a-t, 5 marks d-t. 14 marks TOTAL] (PRO TIP - MAKE YOUR V-T
graph first!!)

Answers

The bird remains at rest for 3.0 seconds, so its velocity is 0 m/s and displacement is also 0 m.

What is velocity?

To create the graphs, we need to first calculate the bird's motion parameters:

Initial velocity, u = 0 m/s

Final velocity, v = 4.0 m/s [E]

Time taken, t = 8.0 s

Acceleration, a = (v - u) / t = (4.0 - 0) / 8.0 = 0.5 m/s²

Displacement, d = ut + (1/2)at² = 0 + (1/2)(0.5)(8.0)² = 16.0 m

After this, the bird remains at rest for 3.0 seconds, so its velocity is 0 m/s and displacement is also 0 m.

Then, the bird starts moving again with a velocity of 3.0 m/s [W] and takes 5.0 seconds to reach this velocity. Therefore, its acceleration is:

Initial velocity, u = 0 m/s

Final velocity, v = 3.0 m/s [W]

Time taken, t = 5.0 s

Acceleration, a = (v - u) / t = (3.0 - 0) / 5.0 = 0.6 m/s²

Displacement, d = ut + (1/2)at² = 0 + (1/2)(0.6)(5.0)² = 7.5 m [W]

Using this information, we can create the required graphs:

These graphs are shown in below image.

A Position-time graph shows that the bird starts from the nest, moves 16.0 m to the east, remains there for 3.0 s, and then moves 7.5 m to the west.

The Velocity-time graph shows that the bird starts from rest, reaches a velocity of 4.0 m/s [E] in 8.0 s, remains at rest for 3.0 s, and then reaches a velocity of 3.0 m/s [W] in 5.0 s.

An Acceleration-time graph shows that the bird has an acceleration of 0.5 m/s² [E] from 0 to 8.0 s, no acceleration from 8.0 to 11.0 s (remains at rest), and an acceleration of 0.6 m/s² [W] from 11.0 to 16.0 s.

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A student is observing the motion of a bird relative to its nest. It goes from rest to a velocity of
A student is observing the motion of a bird relative to its nest. It goes from rest to a velocity of
A student is observing the motion of a bird relative to its nest. It goes from rest to a velocity of

A/An breaks down a complicated goal into daily action to make it more manageable?​

Answers

A routine breaks down a complicated goal into daily action to make it more manageable.

What is a routine?

A routine can be described as the sequence of actions regularly followed which do help individuals as well as the organization so they can acheive their goals.

It should be noted that a routine is neccessary in an organization because it will help help them to breakdown the task as well as the activities and this will help to achive the goals as well as the neccessary things on time because allcomplicated goals woud have been included as well as how it will be carried out.

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4. Describe how the velocity of an object changes if it undergoes uniformly acceleration motion. Can its direction change?

Answers

Answer:

n the case of linear motion, the change occurs in the magnitude of the velocity, the direction remaining constant.

In the case of circular motion, the magnitude of the velocity remains constant, the change in its direction occurring.

Explanation:

Velocity is a vector therefore it has magnitude and direction, a change in either of the two is the consequence of an acceleration on the system.

In the case of linear motion, the change occurs in the magnitude of the velocity, the direction remaining constant.

              \(a_{t}\) = (v₂-v₁)/Δt

In the case of circular motion, the magnitude of the velocity remains constant, the change in its direction occurring.

                    \(a_{c}\) = v2/R

In the general case, both the module and the address change

             a = Ra (  a_{t}^2 +   a_{c}^2)  

The velocity of an object changes if it undergoes uniformly acceleration

motion by considering if it is:

Positive constant accelerationNegative constant acceleration

What is Velocity?

This is the rate of change of an object's position with time. If the object has

positive constant acceleration, the slope goes upward while if it is a

negative constant acceleration, the slope goes downward.

The direction doesn't change as a result of the uniform speed and

direction that is involved.

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Would you rather know how you die or know when you die?

Would you rather know how you die or know when you die?

Answers

When I die. So I can divide my last days with the people I love. And I don’t really wanna know how I die cause I just want it to be unexpected lol

Answer:

I guess how cause then I could posibbly prevent it from happening it or if say I die from a protest and I saw a protest I could just be like well im gonna die today. Hbu?

Explanation:

Dimensional Analysis
9.52 x 104 m to um

Answers

the calculated answer in micrometer is 9.52 x 10⁻²

Dimensional analysis is the analysis of the relationships between different physical quantities by identifying their base quantities (such as length, mass, time, and electric current) and units of measure (such as miles vs. kilometers, or pounds vs. kilograms) and tracking these dimensions as calculations or comparisons are performed. The conversion of units from one dimensional unit to another is often easier within the metric or SI system than in others, due to the regular 10-base in all units.

9.52x 10⁴

1 m= 10⁶ μm

dimensional analysis = 9.52 x 10⁴ x 10⁻⁶

                                   =9.52 x 10⁻² μm

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Need this homework for today so help 50 point

Need this homework for today so help 50 point

Answers

Number one- the pendelum slowly reduces energy and eventually loses everything and will stand still.
Number two- I can account due to the factor of it repeating the same result

What is energy anything that takes up space and has mass a change in the position of an object a push or pull the ability to cause change in matter

Answers

Energy is that which has the ability to cause change in matter.

What is energy?

Energy is the quantitative property that is transferred to a body or to a physical system, recognizable in the performance of work and in the form of heat and light. Energy is a conserved quantity—the law of conservation of energy states that energy can be converted in form, but not created or destroyed.

So in simple definition we can say that energy is that which has the ability to cause change in matter.

Based on the given statements we can classify them as;

anything that takes up space and has mass - matter.cause a change in the position of an object through push or pull - forcethe ability to cause change in matter - energy.

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please tell fast plzzzzzz​

please tell fast plzzzzzz

Answers

Ovary the 2nd one is the answer

A uniform electric field is directed upward and has a magnitude of 24 N/C. A charge of -6 C is placed in this
field.


The direction of the force on the charge placed in the electric field is upward.
True or False

Answers

The statement" The direction of the force on the charge placed in the electric field is upward" is false because the direction of the force on a negative charge (-6 C) placed in an upward-directed uniform electric field of magnitude 24 N/C would be downward.

The direction of the force on a charged particle placed in an electric field is determined by the charge of the particle and the direction of the electric field. In this case, a charge of -6 C is placed in an electric field directed upward with a magnitude of 24 N/C.

The force on a charged particle in an electric field can be calculated using the formula:

F = q * E

Where F is the force, q is the charge of the particle, and E is the electric field.

Since the charge q in this case is negative (-6 C) and the electric field E is directed upward, we can substitute the values into the formula:

F = (-6 C) * (24 N/C)

F = -144 N

The negative sign in the force value indicates that the force is in the opposite direction to the electric field. Therefore, the force on the charge placed in the electric field is downward, not upward.

The force on a negative charge is always opposite to the direction of the electric field. This is because negative charges experience an attractive force towards positive charges, and electric fields are directed from positive charges to negative charges.

Therefore, the statement "The direction of the force on the charge placed in the electric field is upward." is false.

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A 2ohms resistor is connected to two dry cells, each with EMF 3V and internal resistance 1 ohms.calculate the current through the resistor when the cells are arranged in series and parallel.

Answers

Answer:

In series: 3A

Parallel: 7,5 A

Explanation:

I added a photo of my solution

A 2ohms resistor is connected to two dry cells, each with EMF 3V and internal resistance 1 ohms.calculate

The current through the resistor when the two cells are arranged in series is 1.5A. The current through the resistor when the two cells are arranged in parallel is 1.2A.

To calculate the current through the 2-ohm resistor when the two cells are arranged in series, we first need to calculate the equivalent EMF and internal resistance of the combination.

When two cells are connected in series, their EMFs add up while their internal resistances also add up. Therefore, the equivalent EMF and internal resistance of the two cells connected in series can be calculated as follows:

Equivalent EMF = EMF of each cell x number of cells = 3 V x 2 = 6 V

Equivalent internal resistance = Internal resistance of each cell x number of cells = 1 ohm x 2 = 2 ohms

Now we can calculate the current through the 2-ohm resistor using Ohm's law:

I = V / R

where I is the current, V is the voltage across the resistor, and R is the resistance of the resistor.

Using the equivalent EMF and internal resistance values, the total resistance of the circuit can be calculated as:

Rtotal = Rresistor + Requivalent_internal_resistance = 2 ohms + 2 ohms = 4 ohms

Now we can calculate the current through the resistor:

I = V / R = 6 V / 4 ohms = 1.5 A

To calculate the current through the 2-ohm resistor when the two cells are arranged in parallel, we can first calculate the equivalent EMF and internal resistance of the combination.

When two cells are connected in parallel, their EMFs remain the same while their internal resistances decrease. Therefore, the equivalent EMF and internal resistance of the two cells connected in parallel can be calculated as follows:

Equivalent EMF = EMF of each cell = 3 V

Equivalent internal resistance = Internal resistance of each cell / number of cells = 1 ohm / 2 = 0.5 ohm

Now we can calculate the current through the 2-ohm resistor using Ohm's law and the total resistance of the circuit:

Rtotal = Rresistor + Requivalent_internal_resistance = 2 ohms + 0.5 ohm = 2.5 ohms

I = V / R = 3 V / 2.5 ohms = 1.2 A

Therefore, the current through the resistor when the two cells are arranged in series is 1.5 A. and in parallel 1.2A.

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You push a box along the floor against a constant force of friction. When you push with a horizontal force of 75 N, the acceleration of the box is 0.75 m/2. If the mass of the box is 10 kg. find the coefficient of kinetic friction between the box and the floor.

Answers

The coefficient of kinetic friction between the box and the floor,  μ = 0.1 m/2.

Equation :

To find out the coefficient of kinetic friction between the box and the floor we will the formula,

μ = F/N

where,

F is friction force

N is normal force

So by question given is mass and acceleration we have to calculate friction force,

So to find F we use,

F = ma

F = 10 x 0.75 m/2

F = 7.5 m/2

By using formula of coefficient of kinetic friction,

μ = F/N

μ = 7.5 / 75

μ = 0.1 m/2

Coefficient of kinetic friction :

The kinetic friction coefficient (F) is the ratio of the kinetic friction force (F) between both the surfaces in contact during motion to the normal force Ff/N. The static and kinetic coefficients of friction are both affected by the surfaces in contact. Their values are determined through experimentation.

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Which chart correctly describes the properties of magnets and electromagnets?

Which chart correctly describes the properties of magnets and electromagnets?
Which chart correctly describes the properties of magnets and electromagnets?

Answers

Answer:

The second chart seems to be correct

Explanation:

Two equal and opposite charges are placed 40mm apart,if the force between them is found to be 0.5N Calculate the magnitude of the charge

Answers

The force between two charges can be calculated using Coulomb's law, which states that the force (F) between two charges (q1 and q2) is proportional to the product of their charges and inversely proportional to the square of the distance (r) between them:

F = k * (q1 * q2) / r^2

where k is Coulomb's constant (9 x 10^9 N m^2 C^-2).

In this problem, we have two equal and opposite charges, so we can assume that q1 = -q2 = q. The distance between them is 40 mm, which is 0.04 m. We are given that the force between them is 0.5 N. Therefore, we can set up an equation:

0.5 N = k * (q * q) / (0.04 m)^2

Simplifying and solving for q:

q^2 = (0.5 N * (0.04 m)^2) / k
q^2 = (0.5 N * (0.04 m)^2) / (9 x 10^9 N m^2 C^-2)
q^2 = 8.88 x 10^-12 C^2
q = sqrt(8.88 x 10^-12 C^2)
q = 2.98 x 10^-6 C

Therefore, the magnitude of each charge is 2.98 x 10^-6 C.

Water flows at a speed of 13 m/s through a pipe that has a diameter of 1.2 m. What is the
diameter of the smaller end of the pipe that the water comes out with a speed of 30 m/s?

Answers

The diameter of the smaller end of the pipe is approximately 0.78 meters.

To determine the diameter of the smaller end of the pipe, we can use the principle of conservation of mass. According to this principle, the mass flow rate of water should remain constant throughout the pipe.

The mass flow rate is given by the equation:
Mass flow rate = density of water * cross-sectional area * velocity

Since the density of the water remains constant, we can write:
Cross-sectional area1 * velocity1 = Cross-sectional area2 * velocity2

Given that the velocity1 is 13 m/s, the diameter1 is 1.2 m, and the velocity2 is 30 m/s, we can solve for the diameter2 using the equation:
(pi * (diameter1/2)^2) * velocity1 = (pi * (diameter2/2)^2) * velocity2

Simplifying the equation:
(1.2/2)^2 * 13 = (diameter2/2)^2 * 30

Calculating the equation:
(0.6)^2 * 13 = (diameter2/2)^2 * 30

0.36 * 13 = (diameter2/2)^2 * 30

4.68 = (diameter2/2)^2 * 30

Dividing both sides by 30:
0.156 = (diameter2/2)^2

Taking the square root of both sides:
0.39 = diameter2/2

Multiplying both sides by 2:
0.78 = diameter2

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HELP URGENT!!!!!!!!!

HELP URGENT!!!!!!!!!

Answers

Answer:

B

Explanation:

I'm pretty sure it's B

Which statement best completes the diagram?
Constitutional Limits on
Goverment Power
States have some independence from the federal government.
Citizens have rights that the government cannot take away.
• A. Citizens are not forced to pay taxes they do not support.
B. Congress can only pass a set number of laws per year.
• C. Branches of government can check each other's actions.
• D. Local governments are free to ignore federal laws.
SUBMIT

Which statement best completes the diagram?Constitutional Limits onGoverment PowerStates have some independence

Answers

Answer: It is b.

Explanation:

PLEASE HELP!!
A picnic basket falls out of a hot air balloon that is traveling horizontally at 14 m/s. The hot air balloon is
at an altitude of 250 m. Where does the picnic basket land relative to where it was dropped from?

Answers

Answer:

99.9999 m

Explanation:

\(a_{x} =0\) \(v_{xo} =14\) \(a_{y} =-g\) \(v_{yo} =0\)

X-direction             | Y-direction

\(x=x_{o}v_{xo}t+\frac{1}{2} a_{x}t^2\)  | \(y=y_{o}v_{yo}t+\frac{1}{2} a_{y}t^2\)

\(x=0+14(7.14285)\) | \(0=250-\frac{1}{2} (-9.8)t^2\)

x = 99.9999 m       | \(-250=-4.9t^2\)

                               | \(\sqrt{\frac{-250}{-4.9} } =\sqrt{t^2}\)

                              | 7.14285s = t

Analysing the Question:

We are given:

height of the hot air balloon (h) = 250 m

horizontal velocity of hot air balloon (p) = 14 m/s

Since the balloon had no vertical velocity, the basket will drop vertically at a velocity of 0 m/s and gain its velocity due to acceleration

whereas the horizontal velocity of the balloon is 14 m/s, so the basket will have a horizontal velocity of 14 m/s when falling

there will be no change in the horizontal velocity of the basket since there is no force against the horizontal velocity of the falling basket

Time taken by the basket to reach the ground:

from the last section, we deduced that:

initial vertical velocity (u) = 0 m/s

time taken by the basket to reach the ground (t) = t seconds

acceleration of the basket due to gravity (a) = 10 m/s²

from the second equation of motion:

h = ut + 1/2*at²

replacing the variables

250 = (0)t + 1/2 * (10)(t)²

250 = 5t²

t² = 50

t = √50

t = 5√2 seconds   OR     7 seconds

Horizontal distance travelled by the basket:

Distance travelled = horizontal speed * time taken to reach the ground

Distance travelled = 14 * 7

Distance travelled = 98 m

A car of mass 2000kg accelerates from 0 to 30ms-¹ in 5.5seconds.
Calculate the mean resultant force on the car during that time.
(Hint: use suvat equations before Newtons second law)

Answers

Using the Suvat equations, a car of mass 2000 kg accelerates from 0 to 30 m/s in 5.5 seconds, so the mean resultant force on the car during the 0–30 m/s acceleration period is 10,900 N.

What is the resultant force?

Using the following suvat equation,

v = u + at

( v = final velocity (30 m/s), u= initial velocity (0 m/s), a= acceleration (not known), and t = time taken (5.5 s). )

a = (v - u) / t

a = (30 m/s - 0 m/s) / 5.5 s

a = 5.45 m/s²

applying Newton's second law of motion,

Force = Mass x Acceleration

Force = 2000 kg x 5.45 m/s²

Force = 10,900 N

Hence, the mean resultant force on the car during the 0–30 m/s acceleration period is 10,900 N.

Learn more about the resultant force by clicking here.

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Evaluate the formula x² =
(n-1)s²

when o = 2.94, n=39, and s=3.15.
x² = (Round to three decimal places as needed.)

Evaluate the formula x =(n-1)s0when o = 2.94, n=39, and s=3.15.x = (Round to three decimal places as

Answers

Answer:

x² = ((n-1)s²)/o²

x² = (39 - 1) * (3.15)² / (2.94)²

x² = 38 * 9.9225 / 8.6436

x² = 43.7598

Rounding to three decimal places, x² = 43.760. Therefore, the value of x² is 43.760 when o = 2.94, n = 39, and s = 3.15.

Explanation:

Math

consider the combination of two capacitor c1 and c2 with c2>c1,when connected in parallel,the equivalent capacitance is 8 times the equivalent capacitance of the same connected in series. calculate the ratio of capacitor c2/c1?​

consider the combination of two capacitor c1 and c2 with c2>c1,when connected in parallel,the equivalent

Answers

Explanation:

Current flowing through the circuit, I = 2A Applying Kirchoff’s Ist law at junction P, I = I1 + I2 I2 = I – I1 …(1) Applying Kirchoff’s Ind law at junction PQSP 5 I1 + 10 Ig – 15 I2 = 0 5 I1 + 10 Ig -15(I – I1) = 0 20 I1 + 10 Ig = 15 I 20 I1 + 10 Ig = 15 x 2 ÷ by 10 21 I1 + Ig = 3 … (2) Applying Kirchoff’s II law at junction QRSQ 10(I1 – Ig ) – 20(I – I1 – Ig ) – 10 Ig = 0 10 I1 – 10g – 20(I – I1 – Ig ) – 10 Ig = 0 10 I1 – 10 – 20 I + 20 I1 -20Ig – 10 Ig = 0 30 I1 – 40 Ig = 20 I ÷ by 10 ⇒ 3 I1 – 4 Ig = 20 I 3 I1 – 4 Ig = 2 I 3 I1 – 4 Ig = 2 x 2

hope this helps :)

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