A meteorite is found to contain two isotopes of element x, x-12, and x-14. Experimental analysis determined 95% of the element is isotope x-12, whereas 5% of the element is isotope x-14. What is the average atomic mass of element x?.

Answers

Answer 1

Considering the definition isotopes and atomic mass of an element, the average atomic mass of element x is 12.1

Definition of isotope

The same chemical element can have the same atomic numbers, but the number of neutrons is different. These atoms are called isotopes of the element.

Definition of atomic mass

The atomic masses of chemical elements are calculated as the weighted average of the masses of the different isotopes of each element, taking into account the relative abundance of each of them.

Atomic mass of the element in this case

In this case, you know:

Isotope x-12 is 95% abundant (the atomic mass is 12).Isotope x-14 is 5% abundant (the atomic mass is 14).

The average mass of the element x can be calculated as:

average mass of element x=12 amu×0.95 + 14 amu×0.05

average mass of element x= 12.1 amu

Finally, the atomic mass of the element x is 12.1.

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Related Questions

A baseball has a mass of 2.5 kilograms. If the acceleration due to gravity is 9.8 m/s2 , what is the weight of the baseball in newtons?

A. 20.0 N
B. 3.9 N
C. 10.5 N
D. 24.5 N

Answers

Answer: D. 24.5 N

Explanation:

Fgrav = mg

Fgrav = 2.5(9.8)

Fgrav = 24.5 N

the magnetic field of a long, straight wire has a value b0 at a distance of r0 when the current is i0. at a distance of 3.00 r0. what current is necessary to produce a field having the same strength b0 at this position?

Answers

The magnetic field of a long straight wire has a board b0 at a distance r0 when the cutting edge is i0. at a distance of 3.00 r0: B'=2B0.

A magnetic field is a vector domain that describes the magnetic effect on moving electricity costs, currents, and magnetic materials. Transfer fees in magnetic fields are under pressure perpendicular to personal speed and magnetic fields.

The magnetic field is the place around the magnet where the effect of the magnetism is felt. We use magnetic fields as tools to explain how magnetic forces are directed into circular space and are essentially magnetic. This force attracts or repels magnets to each other. Examples of magnetic forces include compasses, motors, magnets that keep things in refrigerators, learning tracks, and new roller coasters. All the carrying charges create a magnetic field, and the charges flowing through that area enjoy the force.

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A periodic wave has a wavelength of 1.6 m and a speed of 16 m/s. What is the wave frequency?

Answers

ANSWER

10 Hz

EXPLANATION

Given:

• The wavelength of a periodic wave, λ = 1.6 m

,

• Its speed, v = 16 m/s

Find:

• The wave frequency, f

The frequency of a wave is given by the quotient between the wave's speed and its wavelength,

[tex]f=\frac{v}{\lambda}[/tex]

Replace the known values and solve,

[tex]f=\frac{16m\/s}{1.6m}=10\text{ }\frac{1}{s}=10\text{ }Hz[/tex]

Hence, the frequency of the wave is 10 Hz.

The element lanthanum has an isotope with an atomic mass of 138. 9 amu and an abundance of 99. 91%. A second isotope has an atomic mass of 137. 9 amu and an abundance of 0. 9%. What is the average atomic mass of lanthanum?.

Answers

Considering the definition of atomic mass, isotopes and atomic mass of an element, the average atomic mass of lanthanum is 151.186 amu.

Definition of atomic mass

The atomic mass is obtained by adding the number of protons and neutrons in a given nucleus of a chemical element.

Definition of isotope

The same chemical element can be formed by different atoms, that is, their atomic numbers are the same, but the number of neutrons is different, thus generating the isotopes of the element.

Definition of atomic mass

The atomic masses of chemical elements are usually calculated as the weighted average of the masses of the different isotopes of each element, taking into account the relative abundance of each of them.

Atomic mass of the element in this case

In this case, you know:

The first isotope has an atomic mass of 138.9 amu and an abundance of 99.91%.The second isotope has an atomic mass of 137.9 amu and an abundance of 0.09%.

The average mass of lanthanum can be calculated as:

average mass of lanthanum= 138.9 amu×0.9991 + 137.9 amu×0.09

average mass of lanthanum= 151.186 amu

Finally, the average atomic mass of the element in this case is 151.186 amu.

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Your friend wants to place an object behind the mirror to prevent the eye from seeing the image in the
mirror. Explain why this won't work.

Answers

According to the law of reflection, the light from the item cannot bounce off the mirror and reach his eye across his line of sight.

Briefing:

According to the law of reflection, the light from the item cannot bounce off the mirror and reach his eye across his line of sight. Ray is unable to see the object's reflection in the mirror because the object's light does not reach his eye.

What is law of reflection ?

The law of reflection, the angle of the reflected beam is equal to the angle of the incident ray while reflecting from a smooth surface. (In geometrical optics, all angles are usually measured in relation to the surface normal, or a line perpendicular to the surface.

How is the law of reflection used?

In physics, the rule of reflection is used to locate an image that is reflected in a mirror. One effect of a law is that if you can see someone's eyes through a mirror (or the eyes of another species), you can assume that he may see your eyes as well because of how reflection function.

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what is the momentum of an 7.2- kgkg bowling ball rolling at 3.0 m/sm/s ? express your answer to two significant figures and include the appropriate units.

Answers

Answer: 20.16kg.m\s

Explanation: Here is given that M= 7.2 Kg,  and           v= 2.8 m/s So, momentum ,P=M. v = (7.2*2.8) = 20.16 Kg. m/s, which is a number having four significant digits. but we have to provide the answer in two significant digits. Therefore, to convert

Two students, Jenny and Cho, are investigating motion.
Jenny walks in a straight line.
Cho measures the distance Jenny has walked at 10 s intervals.
State two measuring instruments the students should use.

Answers

Answer:

1: a measuring instruments the students should use for time is a stopwatch

2: a measuring instruments the students should use for distance is a measuring tape

Explanation:

pls mark brainliest

A radio announcer's voice is transmitted via radio waves a distance of 469.06 km. How much time, in microseconds, will it take to transmit the wave over this distance?

Answers

Assuming the wave is being transmitted on the vacuum, we know that the velocity of an electromagnetic wave on vacuum is c. We can use the following relation:

[tex]v=\frac{\lambda}{T}\Rightarrow T=\frac{\lambda}{c}=\frac{469.06*10^3}{3*10^8}=1.5635ms=1563.5\mu s[/tex]

Thus, our final answer is T=1563.5us

Reflect on the claims and the evidence you examined today. At this point, which claim do you think is best supported by the evidence?

Claim 1: There is frozen water in tank 2, which is blocking some of the oxygen from going into tank 3.
Claim 1: , There is frozen water in tank 2, which is blocking some of the oxygen from going into tank 3.

Claim 2: Some of the liquid oxygen evaporated in tank 3.
Claim 2:, Some of the liquid oxygen evaporated in tank 3.

Claim 3: Some of the oxygen didn’t condense in tank 2.
Claim 3:, Some of the oxygen didn’t condense in tank 2.
In the space below, explain your claim choice using the evidence you discussed today.

Answers

Claim 2: Some of the liquid oxygen evaporated in tank 3 is the claim with the most proof based on the experiment with liquid oxygen and nitrogen.

In the propellant systems of missiles and rockets, liquid oxygen is employed as an oxidant for liquid fuels. In addition to acetylene and other fuel gases, oxygen is frequently used in the metal industry for metal cutting, welding, scarfing, hardening, cleaning, and melting.

Therefore, the reason of above statement can be explained as, that nitrogen has a lower boiling point than oxygen, the liquid nitrogen and oxygen mixture in tank 3 is slightly heated to allow nitrogen to escape. However, as gas particles can evaporate at a temperature below their boiling point provided they have enough energy, some oxygen might have escaped simultaneously when the boiling produced sufficient energy.

Thus the claim 2 is suitable option of this evidence.

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a horizontal rifle is fired at a bull's-eye. the muzzle speed of the bullet is 655 m/s. the gun is pointed directly at the center of the bull's-eye, but the bullet strikes the target 0.029 m below the center. what is the horizontal distance between the end of the rifle and the bull's-eye?

Answers

The horizontal distance between the end of the rifle and the eye of the bull is equal to 50.35 m.

What are the equations of motion?

The equations of motion can be described as the equations which set up the relationship between the velocity of the object, the acceleration, time, and distance of the moving object.

Consider that a vector r, which describes the position of the bullet when it reaches the target, is composed of [tex]r_x[/tex] and [tex]r_y[/tex]

[tex]r = (r_x, r_y)[/tex]

Given that [tex]r_y[/tex] is -0.029 m (the reference is located at the end of the rifle),

r =([tex]r_x[/tex], -0.029 m)

The vertical position of the bullet at time 't'  can be written in form of an equation as follows:

[tex]y = (y_o +v_oy) t + \frac{1}{2} g t^2[/tex]

The vertical component of the speed at t = 0 is 0, then, acceleration, v₀y = 0 and y₀ = 0.

Then, we can find the time for the vertical position (y) of bullet -0.029 m:

-0.029 m =(0)t - (1/2) · (9.8 m/s²) · t²

t = 0.077 sec

The equation for the horizontal position  can be written as:

x = x₀ + (v₀x) · t

Since the origin of the reference system is located at the bullet starts its trajectory, x₀ = 0.

x = (v₀x) · t

x = (655) × 0.077 = 50.35m

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while riding a roller coaster, a girl drops an object. the roller coaster was rising vertically at a velocity of 11.0m/s and was 5.00m above the ground when the object was dropped. how long does it take to reach the ground

Answers

Answer:

Approximately [tex]0.388\; {\rm s}[/tex], assuming that air resistance is negligible and that [tex]g = 9.81\; {\rm m\cdot s^{-2}}[/tex].

Explanation:

Initial vertical velocity of the object: [tex]u = 11.0\; {\rm m\cdot s^{-1}}[/tex], upwards (same as that of the rollercoaster.)

Initial height of the object: [tex]h_{0} = 5.00\; {\rm m}[/tex].

If air resistance is negligible, this object will accelerate downwards at a constant [tex]a = (-g) = (-9.81)\; {\rm m\cdot s^{-2}}[/tex]. Note that [tex]a[/tex] is negative since the object is accelerating downwards.

The SUVAT equation [tex]h = (1/2)\, a\, t^{2} + u\, t + h_{0}[/tex] gives the height [tex]h[/tex] of this object at time [tex]t[/tex]. Note that while the initial height is [tex]5.00\; {\rm m}[/tex], [tex]h = 0[/tex] when the object reaches the ground.

Since acceleration [tex]a[/tex], initial velocity [tex]u[/tex], and initial height [tex]h_{0}[/tex] are all given, setting [tex]h\![/tex] to [tex]0[/tex] and solving for [tex]t[/tex] will give the time it takes for this object to reach the ground:

[tex](1/2)\, a\, t^{2} + u\, t + h_{0} = 0[/tex].

[tex](1/2)\, (-9.81) \, t^{2} + 11.0\, t + 5.00 = 0[/tex].

[tex](-4.905)\, t^{2} + 11.0\, t + 5.00 = 0[/tex].

Solve this equation for [tex]t\![/tex] using the quadratic formula. Note that [tex]t > 0[/tex] since [tex]t[/tex] denotes the amount of time required for the object to reach the ground.

[tex]\begin{aligned} t &= \frac{-11.0 + \sqrt{11.0^{2} - 4 \times (-4.905) \times 5.00}}{2\times (-4.905)} \\ &\approx 0.388\; {\rm s}\end{aligned}[/tex].

The other root of this quadratic equation is negative and isn't a valid solution to the question.

In other words, it will take approximately [tex]0.388\; {\rm s}[/tex] for this object to reach the ground.

a child moves on x axis at a starting point 10cm it moves till it reaches point 70cm then it goes back to 5.
What's the displacement?
What's the distance?

Answers

The displacement on x-axis is 75 cm and the distance that moved by the child is 80 cm

The term displacement refers to a shift in an object's position. It is a vector quantity with a magnitude and direction. And distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.

We are given that,

Starting point of child = d₁ = 10cm

Reaching point of the child = d₂ = 70cm

Move back = 5cm

Therefore, total distance covered by a child can be given as,

Δd = 10cm + 70 cm = 80 cm

Thus, the total distance is 80cm and a child moves back 5cm then the displacement would be given as,

Displacement = total distance cover - distance move back

Displacement = 80cm - 5 cm = 75 cm

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OPEN ENDED QUESTION
The skater eventually comes to a stop.
What has happened to all of the skater's
original potential energy?( this is on the Ed puzzle skate park please help I’m about to cry

Answers

Answer:

The maximum amount of kinetic energy the skateboarder can have is entirely dependent on the amount of potential energy of the system.

Explanation:

As the skateboarder moves, her potential energy is converted to kinetic energy (KE), or the energy of motion as her position changes along the track and the velocity changes.

Answer:

Explanation:

Kinetic energy turned into internal energy.

Potential energy has not changed.

Just before Sarah started her laboratory work, she made a hot cup of tea. She left the tea on her desk while she worked because  she never takes food or drink into the lab area. When she finished collecting data, Sarah's cup of tea was cool. What energy transfer caused her tea to cool?​

Answers

The energy transfer between cup tea and surrounding caused her tea to cool according to newtons law of cooling.

The pace at which a body is exposed to radiation alters its temperature is roughly proportional to the temperature difference between the item and its surroundings, and the provided difference is small. The cooling law of Newton is this.

Heat is transported more quickly and a person's body temperature changes more quickly the higher the temperature difference between a system and its surroundings. When the temperature difference between the body and its surroundings is small, the rate of cooling of a body is directly related to the temperature difference and the surface area exposed.

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b. Which station broadcasts waves with a shorter wavelength

Answers

Answer:

blue and purple light

Explanation:

Light waves have very, very short wavelengths. Red light waves have wavelengths around 700 nanometers (nm), while blue and purple light have even shorter waves with wavelengths around 400 or 500 nm.

What is your total displacement if you walk 30m East and 50m North?

Answers

The total displacement would be 110m.

The total distance is 50 m + 30 m + 30 m = 110 m. The displacement is the shortest route from the starting point. It is solved using vectors.

What is Displacement?
Displacement is a vector quantity which depends on the direction of motion but distance is a scalar quantity which just sums up all the given quantity values. The displacement is simply the difference between the locations of the two markers and is unrelated to the route used to get there. It is a vector quantity that has a direction and magnitude.

Hence, the total displacement if you walk 30m East and 50m North would be 110m.

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Answer:

58.31 meters northeast

Explanation:

The displacement can be modeled into the vector equation of [tex]\displaystyle{\vec s = 30\hat x + 50\hat y}[/tex]. We can find the magnitude of displacement by applying Pythagoras Theorem. Suppose we have a two-dimensional vector equation [tex]\displaystyle{\vec v = a\hat x + b\hat y}[/tex] then the magnitude of vector is [tex]\displaystyle{|\vec v\, | = \sqrt{a^2+b^2}}[/tex].

Therefore, the magnitude of displacement is:

[tex]\displaystyle{|\vec s\, | = \sqrt{30^2+50^2}}\\\\\displaystyle{=\sqrt{900+2500}}\\\\\displaystyle{=\sqrt{3400}}\\\\\displaystyle{\approx 58.31 \ \sf m}[/tex]

Since 30 meters east and 50 meters north form northeast direction then the displacement is 58.31 meters northeast.

a 100 n box is at rest on a tabletop where the coefficients of friction are 0.4 static and 0.3 kinetic. what force of friction will be present if you push on it horizontally westward with 35 n? give magnitude and direction of friction force.

Answers

A 100 n box is at rest on a tabletop where the coefficients of friction are 0.4 static and 0.3 kinetic.  static  force of friction will be present if you push on it horizontally westward with 35 N.

W = 100N - Ms = 0.4 Mi = 0.3

F = 35N

F = W = 100N

Now, limiting friction is

Fl = mi. N

or fi = 0.4x 100 = 40N

Here, limiting friction is greater than the applied force so, box  will not move and remain at rest.

so, here only static friction will work.

fs = F = 35N

fs = 35N

fs = 35N static friction force

What is static friction force?

Static friction is the force that prevents an object from moving along a path. When two fabrics slide over each other, this friction occurs. All around us is friction. For example, when we walk,  our feet  touch  the floor.

When we move, the backward movement of our foot puts pressure on the floor while the other foot moves forward. Furthermore, when we apply this frictional force to the floor, the floor beneath our feet exerts an equal and opposite force. This is consistent with one law of motion.

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An engineer is troubleshooting trying to figure out the value of a capacitor. She knows that the charge value is 480 coulombs and the power supply feeds 110 V. What's the capacitor value?Question 19 options:A) 128B) 4.36C) 0.88D) 5,400

Answers

We can use the formula of the capacitance

[tex]C=\frac{Q}{V}[/tex]

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

In our case

Q=480 C

V= 110 V

[tex]C=\frac{480}{110}=4.36\text{ F}[/tex]

The value of the capacitor is 4.36 F

ANSWER B) 4.36F

air is moving at a velocity of 8 m/s through a hoop with cross sectional area of 100.0 m2. if the density of the air is 1.2 kg/m3, what mass flow rate of air is moving through the hoop (in kg/s)?

Answers

In consideration of Henry's law the molar mass of organic compound is 0.24 grams.

What is molar mass?

The mass of a sample of a chemical compound divided by the quantity, or number of moles in the sample, measured in moles, is known as the molar mass of that compound. What is the mass of water in grammes and how much Equis paper with a 12.5% sodium chloride content weighs at 55 degrees Celsius, according to Sol-One of three? His issue informs us that pure water has a specific gravity of 118 torr at 55 degrees Celsius. Therefore, the first task at hand is to determine the mole fraction of, I suppose, the thermal fractions of both water and sodium chloride.

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On average, there is enough wind in the UK each year to supply all of the UK's electricity needs.
Explain why the UK may still need power stations that use fuel to generate electricity

Answers

Explanation:

Unplanned maintenance at nuclear plants and lower than average wind speeds mean the country is currently relying on gas-powered stations to generate about half its electricity.

Neptune has a mass that is about 17 times the mass of earth. the distance between the sun and neptune is about 30.1 times the distance between the sun and earth. if the gravitational force between the sun and earth is 3.5 x 1028 n, which is closest to the force between neptune and the sun? 6 x n 6 x n 6 x n 6 x n

Answers

Answer: 6 x 10^26 N

Explanation:

an interference pattern is produced by four parallel and equally spaced narrow slits. by drawing appropriate phasor diagrams, explain why there is an interference minimum when the phase difference from adjacent slits is:

Answers

The minimum interference when the phase difference from adjacent slits is ( A1 -A2)².

The amplitude of a periodic variable is the degree of its change in a single duration. The amplitude of a non-periodic signal is its important as compared with a reference cost. there are various definitions of amplitude, which are all features of the magnitude of the variations between the variable's excessive values.

Let A1 be the amplitude of the 1st wave and A2 be the amplitude of the 2nd wave.

Let the resultant amplitude be A.

the formula of interference, we get,

A= (A1)²+(A2)²+ 2×A₁× A₂ (cos theta)

When theta = 180 degrees = π radian, cos π= -1

Putting the value of cos theta in the equation we get,

A= (A1)² +(A2)² - 2×A1×A2

A= ( A1 -A2)²

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Two objects with the same mass have the same force applied to them. What can be said of their acceleration?

A. Their acceleration will be the same.
B. Their acceleration will be different.
C. Their acceleration will depend on their net force, which is not provided.
D. Their acceleration will depend on their weight, which is not provided.

A force of 30 N to the right is applied to an object. An opposite force of 20 N to the left is applied to the same object. What is the net force applied to the object?

A. 10 N to the left
B. 50 N to the right
C. 50 N to the left
D. 10 N to the right

Answers

Answer:

Explanation:

A. Their acceleration will be the same.    F=ma, a = F/m.  If F and m are the same, acceleration will be the same.

B. Their acceleration will be different.

C. Their acceleration will depend on their net force, which is not provided.

D. Their acceleration will depend on their weight, which is not provided.

======

A force of 30 N to the right is applied to an object. An opposite force of 20 N to the left is applied to the same object. What is the net force applied to the object?

A. 10 N to the left

B. 50 N to the right

C. 50 N to the left

D. 10 N to the right

Add the two vectors:  30R = +30, 20L = -20 Sum = +10 or 10R

The force acting on two bodies will be the same if they have same mass and same acceleration. But the acceleration is dependant on the net force of the body and thus option C is correct. The net force of the body is 10 N to the right.

What is force?

Force is an external agent or factor which change an object from its state of rest or motion. The force to be applied depends on the mass and acceleration of the body by the equation F = ma.

Acceleration of a moving body is dependant on the direction and thus the direction of force and net force. Thus the two objects having the same mass and same force f applied to them, the acceleration may not be the same. Thus option C is correct.

The two force acting on a body in opposite direction will cancel each other in magnitude. Thus 20N of force to the right will be cancel by 20 N to the left. Remaining 10N will be there to the right direction. Hence, option D is correct.

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A school bus moves 200 meters in 20 seconds, and another 100 meters in the next 10 seconds.
Calculate its average speed in m/s.

Answers

Answer: 300 m/s

Explanation:

So If it moves 200 metres in 20 seconds and then another 100 metres this is changing the total distance travelled to 300 metres. Also, it moves this distance extra distance in 10 seconds therefore the total time is 30 seconds.

speed = distance / time

speed = 300 / 30

speed = 10 m/s

After travelling a total of 300 metres and spending a total of 30 seconds in motion, the school bus travels at an average speed of 10 metres per second (m/s).

To figure out how fast the school bus was going on average, we need to know how far it went and how long it took to get there.

First, we add up the two lengths the school bus travelled: 200 metres plus 100 metres equals 300 metres.

Next, we add up how long it took to go both distances: 20 seconds plus 10 seconds equals 30 seconds.

Here's how to figure out the average speed:

Average Speed = Total Distance Travelled / Total Time Spent

Putting the numbers in:

Average Speed = 300 metres in 30 seconds

10 metres per second (m/s) is the average speed.

So, the school bus's usual speed is 10 m/s.

Average speed is the general rate of movement over a certain amount of time, no matter how it changes during the trip. In this case, the bus went 300 metres in 30 seconds, which means it went 10 m/s on average.

It's important to know that instantaneous speed is not the same as usual speed. Instantaneous speed is the speed of the bus at any given time during its trip. This speed could change as the bus speeds up, slows down, or stays at the same speed.

Calculating the average speed is helpful for figuring out how well something works generally, figuring out how efficient it is, and comparing different trips or types of transportation. But it might not take into account all the details of a given trip, such as different speeds or stops along the way. For a full picture of how the bus moves, it may be necessary to think about other things.

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what is the conversion efficiency (power coefficient) from power in the wind to electrical power output for a modern highly engineered horizontal axis high-tip-speed two blade wind turbine? group of answer choices

Answers

The conversion efficiency from the power in the wind to electrical power output for a modern highly engineered two blade wind turbine is 35 % to 45%.

What is power coefficient and how the conversion efficiency from power in wind to turbine is so?Power coefficient is similarity in relation to power just combining the flow coefficient and head coefficient.Power coefficient is denoted by Cp and whose equation is like Cp= f( Vwind) where V is the velocity of the wind.Here in the question is asked the conversion efficiency from power in wind to the power in wind turbine.So the conversion efficiency from the power in the wind to the electrical power output for a modern highly engineered two blade wind turbine is 35% to 45%.

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The potential energy of a roller coaster is 50 joules. The kinetic energy of the same coaster is 50 joules. What is the mechanical energy of the coaster?.

Answers

Mechanical energy of the coaster is 100 joules.

We need to know about mechanical energy to solve this problem. Mechanical energy is the sum of the potential energy and kinetic energy of an object. It can be written as

E = KE + PE

where E is mechanical energy, PE is potential energy and KE is kinetic energy.

From the question above, the given parameters are

KE = 50 J

PE = 50 J

By substituting the given parameters, we can calculate mechanical energy

E = KE + PE

E = 50 + 50

E = 100 J

The total energy is 100 joules

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a wire with diameter 2.0 mm and length of 10 m is made of an unknown material. the wire has a resistance of 4.2 ohm. calculate the resistance of a wire with a 1.6 mm diameter and 20 m length made of the same material

Answers

The resistance of a wire with a 1.6 mm diameter and 20 m length made of the same material is 3.14×10⁻⁷Ω−m.

What does "resistance" mean?

Electrical resistance of a conductor with a unit cross-sectional area and unit length is called resistivity. Resistivity is a distinctive attribute of any material that may be used to compare different materials based on how well they conduct electric currents. Low conductivity is indicated by high resistance.

Given,

l= 10m= 1000mm

d= 2mm

∴radius(r)= 20.2 =0.1mm

R=10Ω

To find,

Resistivity(ρ)

ρ=R /l A

​where,

R= Resistance

l= Length of wire

A= Cross sectional area of wire

Cross sectional area of cylinder (A)=Πr²

A= π×(0.1)²

A=0.0314mm²

ρ=10(10000.0341)

ρ=0.000314Ω−mm

ρ≃3.14×10⁻⁷Ω−m

So, the resistivity of the material is equal to 3.14×10⁻⁷Ω−m.

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a 28 kg child is coasting at 2.0 m/s over flat ground in a 5.0 kg wagon. the child drops a 1.1 kg ball from the side of the wagon. what is the final speed (in m/s) of the child and wagon?

Answers

The final speed of the child and wagon is 2.1 m/s.

Momentum in a simple manner is an amount of motion. here amount is measurable due to the fact if an item is transferring and has mass, then it has momentum. If an object does not pass then it has no momentum. however, in normal lifestyles, it has a significance that many human beings failed to recognize it.

mass of child  = 20 kg

mass of wagon  = 5 kg

total mass m₁ = 25 kg

mass of ball dropped = 1.1 kg

new mass m₂ = 23.9

the initial speed of the child and wagon u₁ =  2 m/s

the final speed of the wagon = v₂

using conservation of momentum

m₁u₁ = m₂v₂

25×2 = 23.9 × v₂

final speed  v₂ = 50/23.9

                        = 2.092 m/s

                        = 2.1 m/s

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a satellite is in a circular orbit around an unknown planet. the satellite has a speed of 1.31 x 104 m/s, and the radius of the orbit is 3.88 x 106 m. a second satellite also has a circular orbit around this same planet. the orbit of this second satellite has a radius of 9.96 x 106 m. what is the orbital speed of the second satellite?

Answers

The orbital speed of the second satellite with same centripetal force is 2.1 x 10⁴ m/s.

We need to know about centripetal force to solve this problem. The centripetal force is a force caused by moving objects in a circular motion. The magnitude of the centripetal force depends on tangential speed, mass and radius. It can be written as

Fc = m . v² / r

where Fc is the centripetal force, m is mass, v is tangential speed and r is the radius.

From the question above, we know that

Fc 1 = Fc 2 = Fc

m1 = m2 = m

v1 = 1.31 x 10⁴ m/s

r1 = 3.88 x 10⁶ m

r2 = 9.96 x 10⁶ m

Hence, the ratio of centripetal force is

Fc2 / Fc1 = (m2 . v2² / r2) / (m1 . v1² / r1)

v1² / r1 = v2² / r2

(1.31 x 10⁴)² / 3.88 x 10⁶ = v2² / 9.96 x 10⁶

v2² = 4.41 x 10⁸

v2 = 2.1 x 10⁴ m/s

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the shape of an atomic orbital is associated with group of answer choices the spin quantum number (ms). the principal quantum number (n). the angular momentum quantum number (l). the magnetic quantum number (ml). the magnetic and spin quantum numbers, together.

Answers

The shape of an atomic orbital is associated with the principal quantum number (n).

Why do atoms have orbitals?

The wave character of the electrons (or electron pairs) in an atom is described by atomic orbitals, which are mathematical functions. They provide a method for calculating the likelihood that an electron will be located in a particular area surrounding the atom's nucleus. An atom can have any number of orbitals, according to the quantum atomic model.

Why do a wave's orbitals affect the shape of the wave?

The function of the wave will therefore be determined  by the distance from the nucleus and not by its direction. Any particle's orbital shrinks in size but maintains a spherical geometry as its center quantum number drops.

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