hii i am satyam from India and i m having doubt in this question according to me answer should be 20 % but in answer key it's 21 % how??

Hii I Am Satyam From India And I M Having Doubt In This Question According To Me Answer Should Be 20

Answers

Answer 1

The formula relating kinetic energy and momentum of a particle is expressed as

KE = p^2/2m

let the actual momentum be p. Since the error measurement is 10%, the measurement of the momentum would be

p + 0.1p = 1.1p

Percentage error in the measurement of the kinetic energy is obtained by the formula,

% error = (KEf - KEi)/KEi x 100

where

KEf is the final kinetic energy measured error

KEi is the initial kinetic energy measured without error

Thus,

% error = [(1.1p)^2/2m - p^2/2m)]/p^2/2m x 100

% error = p^2/2m(1.1^2 - 1)/(p^2/2m) x 100

% error = 100(1.1^2 - 1)

% error = 21%


Related Questions

if you throw a 0.4 KG ball at a speed of 20 m/s what is the kinetic energy between the balls motion

Answers

A moving item possesses kinetic energy. If we want to accelerate an object, we must exert a force. Applying force requires effort on our part. Once the process is complete and energy has been transferred to the item, it will begin to move at a new constant speed.

Kinetic energy is the energy that an object has as a result of motion. It is defined as the work required to accelerate a mass-determined body from rest to the indicated velocity. Unless its speed changes, the body retains the kinetic energy it gained during acceleration.

Using the formula - K.E. = 1/2 × m × v²

K.E. = 1/2 × 0.4 × 20²

K.E. = 80 kg m/s²

The energy of motion is called kinetic energy, and it can be observed in the movement of an object, particle, or group of particles. Any moving object, such as a person walking, a baseball being thrown, food falling off a table, or a charged particle in an electric field, utilizes kinetic energy.

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points :)




don't mind this just getting to 20 words :)

Answers

Answer:

20 20 20 20 25 points 20 20 20 25 points

Explanation:

What is Amy's distance and displacement if she runs 2 miles south, then turns around and runs 3 miles north?

Answers

Amy's distance and displacement if she runs 2 miles south, then turns around and runs 3 miles north is 1 mile.

What is Displacement?

This is referred to as the change in the position of an object and it is usually measured in meters by finding the difference in location between the two bodies involved.

We were told that she runs 2 miles south, then turns around and runs 3 miles north and they are at exact opposite sides on the map which means that the displacement will be:

3 miles - 2 miles

= 1 mile hence, it is the correct choice.

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Question
Draw the outlines of two cars, one
with a streamlined shape to reduce air
resistance, and one whose shape is not
streamlined. Explain why one may be
able to go faster than the other.

Answers

Because of this, race cars have streamlined bodies that enable them to go at significantly higher speeds.

Briefing:

As there is less surface area to push the air against, the streamlined designed car will be able to cut through the air and produce less drag or resistance. They move slowly, as opposed to autos, which are not streamlined. Because of this, race cars have streamlined bodies that enable them to go at significantly higher speeds.

What is air resistance and how it can be reduced?

In order to push against the force of the air, objects must be streamlined. Trains are made to move quickly between destinations because of their streamlined form. Even people, like swimmers, can attempt to be streamlined.

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A stone is projected upwards to an angle of 30° to the horizontal from the top of a tower of height 100m and it hits the
ground at a point Q. if the initial velocity of projection is 100m/s, calculate:
(0
Maximum height of the stone above the ground. (ii) Time it takes to reach this height (iii) Time of flight of the
stone. (iv) Horizontal distance from the foot of the tower to the point Q.

Answers

The correct answer are as follows

(i) 250 m is the maximum height

(ii) Time to reach the height is 5 s

(iii) Time of the flight is 10 s

(iv) Horizontal distance from the foot of the tower to point Q is 433 m

Given,  π°= stand as the angle= 30°

h= height= 100m

u= initial velocity= 100m/s

g= acceleration due to gravity= 10m/s²

(i) maximum height= h(max)= u²sin²π°/g

= 100²(sin30°)²/10

= 10000(0.25)/10

= 1000(0.25)

= 250m

height(max)= 250m

(ii)time it takes to reach the height= using π°/g

= 100sin30°/10

= 10 × 0.5

= 5

t= 5s

(iii)time of flight, T= 2t

T= 2(5)= 10

T= 10s

(iv)horizontal distance=H= u²cosπ°/2g

= 100²(cos 30°)/2(10)

= 10000(0.866)/20

= 500(0.866)

= 433

H ( distance)= 433m.

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a 500 gram stone tied to the end of 1.2 m cord is swung into a vertical circular motion with a radius equal to the cord length. find the speed of the stone at the bottom of the circle if the tension in the cord is three times the stone's weight.

Answers

The speed of the stone at the bottom of the circle is 4.85 ms⁻¹.

Speed is the time fee at which an object is moving alongside a course, even as the pace is the charge and path of an object's movement. The rate of speed of the function of an object in any course.

velocity is measured because of the ratio of distance to the time in which the space became blanketed. the pace is a scalar amount because it has the most effective route and no magnitude. Speed is the time fee at which an object is moving alongside a path, while the pace is the fee and direction of an item's motion. put another way, the pace is a scalar value, whilst pace is a vector.

At the bottom position,

T - mg = Fc = mv²/r

∴ (T - mg/m)r = v²

V² = (3mg - mg ) r/ m = 2mgr/m

v = [tex]\sqrt{2gr}[/tex]

   = 4.85 ms⁻¹

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Fiber optic cable is available in 12 km lengths. How long will it take for a signal to travel that distance assuming that the speed of light in the cable is the same as in a vacuum?.

Answers

The Time it takes a signal to travel the length of the cable of 12 km if the speed of light in the cable and the vacuum are the same is  4×10⁻⁵ s.

What is time?

Time is the measured or measurable period during which an action, process, or condition exists or continues.

To calculate how long it will take a signal to travel a distance the same as the lenght of the cable, we use the formula below.

Formula:

t = d/v.......... Equation 1

Where:

t = Time it takes a signal to travel the length of the cabled = Length of the cablev = Speed of the signal/ speed of electromagnetic wave.

From the question,

Given:

d = 12 km = 12000 mv = 3×10⁸ m/s

Substitute these values into equation 1

t = 12000/(3×10⁸ m/s)t = 4×10⁻⁵ s

Hence, the time its takes a signal to travel the length of the cable is 4×10⁻⁵ s.

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A vector is 253 m long and points in a 55.8 degree direction. Find the y-component of the vector. Please help!! ​

Answers

Answer:

209.3 m

Explanation:

x component will be  253 cos 55.8

y component will be  253 sin 55.8 = 209.3 m

HELP!

A box is sitting on a frictionless surface when a net force of 15 N is applied to the right. If the acceleration of the box is 0.33 m/s2 to the right, what is the mass of the box?

a
2.0 kg

b
5.0 kg

c
18 kg

d
45 kg

Answers

Answer:

F=m × a - answer is D

Explanation:

F=15N

m=m

a=0.33

15÷0.33=45.45...

18kg c is the right answrr

You are driving at the speed of 29.5 m/s
(66.0037 mph) when suddenly the car in
front of you (previously traveling at the same
speed) brakes and begins to slow down with
the largest deceleration possible without skidding. Considering an average human reaction,
you press your brakes 0.558 s later. You also
brake and decelerate as rapidly as possible
without skidding. Assume that the coefficient
of static friction is 0.708 between both cars’
wheels and the road.
The acceleration of gravity is 9.8 m/s
2
.
Calculate the acceleration of the car in front
of you when it brakes.
Answer in units of m/s
2
.
What is the frictional force acting on the
35 kg mass?
Answer in units of N

Answers

Answer:

honestly not sure what to do good luck though

You want to lift a heavy box with a mass L = 64.0 kg using the two-ideal pulley system as shown. With what minimum force do you have to pull down on the rope in order to lift the box at a constant velocity? One pulley is attached to the ceiling and one to the box.

Answers

The given problem can be solved using the following free-body diagram:

The diagram is the free-body diagram for the pulley that is holding the weight. Where:

[tex]\begin{gathered} T=\text{ tension} \\ m=\text{ mass} \\ g=\text{ acceleration of gravity} \end{gathered}[/tex]

Now we add the forces in the vertical direction:

[tex]\Sigma F_v=T+T-mg[/tex]

Adding like terms:

[tex]\Sigma F_v=2T-mg[/tex]

Now, since the velocity is constant this means that the acceleration is zero and therefore the sum of forces is zero:

[tex]2T-mg=0[/tex]

Now we solve for "T" by adding "mg" from both sides:

[tex]2T=mg[/tex]

Now we divide both sides by 2:

[tex]T=\frac{mg}{2}[/tex]

Now we substitute the values and we get:

[tex]T=\frac{(64\operatorname{kg})(9.8\frac{m}{s^2})}{2}[/tex]

Solving the operations:

[tex]T=313.6N[/tex]

Now we use the free body diagram for the second pulley:

Now we add the forces in the vertical direction:

[tex]\Sigma F_v=T-F[/tex]

The forces add up to zero because the velocity is constant and the acceleration is zero:

[tex]T-F=0[/tex]

Solving for the force:

[tex]T=F[/tex]

Therefore, the pulling force is equal to the tension we determined previously and therefore is:

[tex]F=313.6N[/tex]

Someone is standing on a trampoline. They have a mass of 65kg and each of their feet a 25cm x 10cm, what is the pressure exerted by both on the trampoline?

Answers

The pressure exerted by both on the trampoline is 25,480 N/m².

What is the pressure exerted?

The pressure exerted by both on the trampoline is the force per unit area which is calculated as follows;

P = F/A

where;

F is the force applied by their weight A is the area of their feetP is the pressure exerted

Substitute the given parameters and solve for the pressure exerted.

P = (mg)/A

A = 0.25 m x 0.1 m

A = 0.025 m²

P = (65 x 9.8) / (0.025)

P = 25,480 N/m²

Thus, the pressure exerted at any given surface depends on the applied force and the area of the given surface.

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Find the x-component of this
vector:
12.1 m
48.4°

Answers

The resultant distance of the vector is 12.1 m and the angle between two vectors are 48.4°. So the x-component of this vector is, Aₓ = 8.0335 m

What is vector?

Vector is a product that means a parameter has two types of property one is value second is direction. If a parameter has both then it called a vector quantity. Example: Velocity.

How can we calculate x-component of this vector?

To calculate the vector we know first this is a proper vector quantity or not. According to the question, this is a vector quantity. So it has two component, one along x axis another is y axis as shown in the picture.

We have to calculate the x-component, so we are using the formula is,

Aₓ = Acosθ

Here we are given,

A = The resultant distance of the vector = 12.1 m

θ= The angle between two vectors = 48.4°.

Now We have to calculate the x-component = Aₓ

Now we put the known values in the above equation, we get

Aₓ = Acosθ

Or, Aₓ = 12.1*cos(48.4°)

Or, Aₓ = 8.0335 m

According to the calculation we get, the x-component of this vector is, Aₓ = 8.0335 m

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Answer:

Explanation:

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lighting produces a maximum air temperature of the order of 104 k, whereas a nuclear explosion produces the temperature of the order of 107 k. find at what wavelength the radiation from these sources is maximal.

Answers

At wavelength 2.898 x 10^-7 m radiation is maximum in UV region and at wavelength 2.898x 10^-10 meter in X ray region.

What is wavelength and at what wavelength the radiation from these sources is maximal?Wavelength is the measure of distance or the length of given material either in a vaccum or a medium.Now this question is asking about  wavelength of the randiation from the sources.Given is the temperatures of lightning and nuclear explosion be 104K, and 107 K respectively.Applying weins displacemnt law lambda=b/T we will get the value as 2.898 x 10^-7 and 2.898 x 10^-10 meters respectively to be the wavelength.

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a toaster is designed to operate with a voltage of 120 v, and a clothes dryer is designed to operate with a voltage of 240 v. based solely on this information, which appliance uses more power?

Answers

Answers are impossible given the information provided.

P=VI, P=VI, where V is the voltage, I is the current, and P is the power, gives the power in an electric circuit.

We cannot draw any conclusions from the voltage measurement alone because power depends on both voltage and current. The information provided is therefore insufficient.

Answers are impossible given the information provided.

Describe voltage.

A lamp can be lit when charged electrons (current) are compelled through a conducting loop by the pressure of an electrical circuit's power source. In a nutshell, voltage equals pressure and is expressed in volts (V).

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Please help me quickly

Answers

you need to show the problem
The total energy will Increase I think

An elevator uses 100 000J of electrical energy to raise a load of 800 N through a height of 40m in a time of 20s. What is the rate of conversion of the electrical energy to other forms?

Answers

[tex]W_{out}=F\cdot d=800\cdot40=32000[/tex][tex]P_{out}=\frac{W_{out}}{t}=\frac{32000}{20}=1600W[/tex][tex]\begin{gathered} P_{in}=\frac{W_{in}}{t}=\frac{100000}{20}=5000W \\ \end{gathered}[/tex]

Therefore:

[tex]P_{out}:P_{in}=\frac{P_{out}}{P_{in}}=\frac{1600W}{5000W}=0.32[/tex]

Answer:

1600W

an ideal parallel-plate capacitor consists of a set of two parallel plates of area a separated by a very small distance d. when the capacitor plates carry charges q and -q, the capacitor stores energy u0. if the separation between the plates is doubled, how much electrical energy is stored in the capacitor?

Answers

Electrical energy is energy that has to do with forces acting on electrically charged particles and their motion.

What is mean by electrical energy?

The ability of an atom's charged particles to initiate an activity or move an object is known as electrical energy. Electrical energy is produced by the transfer of electrons between atoms. Electrical energy powers your toaster and phone charger every time you plug them into a wall outlet.

Electrical energy is energy that has to do with forces acting on electrically charged particles and their motion.

The capacitance of a capacitor is given by the following formula

C=∑0A/d

And the electric potential energy stored in a capacitor is given by

∪[tex]Q2[/tex]/2AC

Applying these formula to the given variables, the initial potential energy becomes

∪[tex]0[/tex]=[tex]Q2/2=d/[/tex]∑A

If d becomes 2d, then potential energy becomes

∪0=[tex]Q2/2[/tex] 2D/∑A=2∪0

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What is "velocity"?

A. Velocity is a scalar quantity that tells the acceleration of an object over a period of time.
B. Velocity is a vector quantity that tells the distance an object has traveled over a period of time.
C. Velocity is a vector quantity that tells the force of an object over a period of time.
D. Velocity is a scalar quantity that tells the distance an object has traveled over a period of time.

Answers

Answer:

The answer is the letter B

Explanation:

Because velocity is a vector quality since to define it is necessary to specify its size (equivalent to speed) and its direction and the letter B tells then velocity is a vector quality that tells the distance an object has traveled over a period of time.

I think than is the letter B

Velocity is a vector quantity that tells the distance an object has traveled over a period of time. So, option (B) is correct.

What is velocity?

The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction is displacement.

Hence, velocity is a vector quantity which can tell displacement of a body , that is, distance between initial and final position - which is equal to  from the distance an object has traveled over a period of time.

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Why do the planets orbit the Sun?

A. The sun has enough mass to attract the planets

B. The sun has enough heat to attract the planets

C. The sun has enough velocity to attract the planets

D. The sun has enough energy to attract the planets

Answers

A. The sun has enough mass to attract the planets. is the correct statement for the given question.

What are planets?

A planet is a celestial body that revolves in an orbit around the Sun, planet has sufficient mass for self-gravity to overcome rigid body forces. It has space around its orbit to revolve around the sun. A gas Giant is a planet composed mainly of gas. Super-Earth is a rocky planet that is larger than Earth.

Neptune-like planets that are about the size of Neptune. A terrestrial is a rocky world that is outside our solar system. The basic reason the planets revolve around the Sun is the gravity of the Sun that keeps them in their orbits. As the Moon orbits the Earth because of the Earth's gravitational pull and the Earth orbits the Sun because of the Sun's gravitational pull.

So we can conclude that the planets orbit the Sun because the sun has enough mass to attract the planets.

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a tank is 10 m long, 4 m wide, 4 m high, and contains kerosene with density 820 kg/m3 to a depth of 3.5 m. (use 9.8 m/s2 for the acceleration due to gravity.) (a) find the hydrostatic pressure on the bottom of the tank.

Answers

The hydrostatic pressure on the bottom of the tank is 197.083 kN.

Given,

Length of tank = 10 m

Width of tank = 8 m

height of tank = 4 m

density of kerosene = 820 kg/m³

depth of oil = 3.5 m

A. Hydrostatic pressure at the underside of the tank:

P = ρ g h

P = 820 x 9.81 x 3.5

P = 28154.7 Pa

B. Hydrostatic force at the underside of the tank:

F = P A

⇒A  = 10 x 8 = 80 meter²

⇒F = 28154.7 x 80

    = 2252.38 kN

C. Hydrostatic force at one edge:

Given,

Width = 8 m

depth = z

A = 4 y

dA = 4 dy

P = ρgh

P = ρgz = ρg(y-0.5)

F = P dA

F = ρg(y-0.5)(4dA)

F = 24.5 ρg

Hydrostatic force at one end = 24.5 x 820 x 9.81 = 197.083 kN.

The pressure exerted by a liquid thanks to gravity at any point in equilibrium. Hydrostatic pressure is proportional to the depth measured from the surface because the weight of the liquid increases when a downward force is applied. Hydrostatic pressure is the force produced by still or still water. this is often the constant force that water pressure exerts on underground walls.

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10. What is the solution of the equation
-9x + 4 = -8- 5x?
A x = -3
B x=
2/7
x = 1
℗ x = 3

Answers

The answer to your question is x=3

Answer:

x=3

-9x+4= -8-5x

+5x +5x

-4x+4= -8

-4 -4

-4x= -12

/-4. /-4

x=3

if i were to drop an egg off a cliff, it begins to acceleration toward the ground, until it hits the ground and splattered. is momentum conserved in this situation?

Answers

Based on the principle of momentum, the momentum of the egg falling from a cliff and which shatters on hitting the ground is conserved.

What is momentum?

Momentum is the product of the mass and the velocity of a compound.

Momentum, p = mass * velocity

Momentum is a vector quantity and its unit is kgm/s.

According to the principle of the conservation of momentum, in a system of colliding bodies, the momentum before the collision and the momentum after collision is conserved or equal.

Therefore, the momentum of the egg in the given scenario is conserved.

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A 6-kg bowling ball rolling at 5 m/s strikes a stationary 4-kg bowling ball. If Ball #1 is moving forward at 2 m/s after the collision, what is the speed and direction of Ball #2?​

Answers

The speed of ball #2 after the collision will be 4.5 m/s.

Given,

The mass of ball 1 = 6kg

The mass of ball 2 = 4 kg

Initial speed of ball 1 = 5 m/s

Final speed of ball 1 = 2 m/s

Initial speed of ball 2 = 0 m/s

Let us suppose the final speed of ball 2 is x m/s.

We know that, from the conservation of momentum theorem:

m1.v1(initial) + m2.v2(initial) = m1.v1(final) + m2.v2(final)

6.5 + 4.0 = 6.2 + 4.x

30 + 0 = 12 + 4x

=>4x = 18

=> x = 4.5 m/s

Thus the speed of 2nd ball after the collision will be 4.5 m/s.

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Please help, I have no idea what story I can make out of these..

Make up a short story that uses these three constellations: Orion, Taurus, and Canis Major

Thank you!

Answers

Constellation is a group of stars that appears to form a pattern or picture. Some of the constellations include Orion, Taurus, Canis Major etc.

Orion is located on the celestial equator and it can be seen throughout the world. This constellation is named after the hunter, in Greek mythology. It is one of the most obvious and recognizable constellations in the sky. Orion is most visible in the evening sky from January to April, during winter season in the Northern Hemisphere, and summer season in the Southern Hemisphere. In the tropics, the constellation moves at the zenith. Orion is bordered by Taurus to the northwest, and by other constellations in other directions.

Taurus is one of the constellations of the 12 zodiac signs. It is a large and prominent constellation in the Northern Hemisphere during winter. It is one of the oldest constellations. The International Astronomical Union gave a three-letter abbreviation for the constellation, as "Tau". During late November-early December, Taurus occupies a furthest point from the Sun and is visible the entire night. By late March, it sets at sunset and completely disappears behind the Sun's glare from May to July.

Canis Major is a constellation in the southern celestial hemisphere. It is a Latin name, which means 'greater dog' in contrast to 'Canis Minor' meaning 'lesser dog'. These both figures are commonly represented as following the constellation of Orion, the hunter, through the sky. Canis Major contains Sirius, the brightest star in the night sky, known as the "dog star". It is bright because of its proximity to the Solar System.

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A student placed two magnets 5cm apart for a lab experiment. after completing two trials of the experiment, she leaves. when she returned, she noticed her magnets were moved just a little but decided to continue working with them anyway. after trying her 3rd trial of the lab, her magnets did not work. what happened?

Answers

The third trial of the lab experiment did not work out because in most probability the magnets lost their magnetic properties or got demagnetized.

Demagnetization is the phenomenon by which magnets lose their magnetic property or are weakened. We see that the magnets moved just a little after she left them after the first two trials of her experiment. It is possible that because the magnets moved a little they repelled each other and this only happens when like poles face each other.

The demagnetizing field of one magnet will affect the other and vice versa because their magnetic fields are opposite in direction. Consequently, magnetic field strength weakens gradually. Thus the magnets did not work after the 3rd trial.

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Physics Question A ball of Mass 4. 0kg Moving at 6m5' collided with a vertical wall, and retraces its path in the opposite direction at 3 ms: If the time of impact is 0. 20g, Calculate:
1. Magnitude of the change in the linear momentum of the bofy.
ii magnitude of the loss in the Kinetic energy. Iii magnitude of the force experienced by the body due to collision with the ball. ​

Answers

The ball experiences an equal and opposing force from the wall as a result of Newton's third law .Therefore, in a perfect world, the ball would return at the same speed it originally did, preserving momentum.

   explain magnitude of the loss in the Kinetic energy?

An object's mass times its velocity change equals the change in momentum of that object.Δp=m⋅(Δv)=m⋅(vf−vi) Pi=m1v1 will be the system's initial momentum.Therefore, the difference between the initial and final kinetic energies is non-zero, demonstrating that kinetic energy is always lost in inelastic collisions. The magnitude of this loss is Loss=12m1v12[m2m1+m2]. The ball is severely deformed as it is struck due to the bat's tremendous force.The average force acting during the bat-ball collision is therefore about two tons, with a peak force of nearly four tons, during the 0.7 millisecond contact time. By multiplying the magnitudes of two forces acting in the same direction along a straight line, you can quickly calculate the combined force.

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An explanation for planetary differentiation is_____________. question 5 options: all the planets are different colors and some have life, while others do not different scientist are chosen to explore planet similarities is the separation of different constituents of planetary materials resulting in the formation of distinct compositional layers. denser material tends to sink into the center and less dense material rises toward the surface. planets have different orbits around the sun and therefore consist of varying elements

Answers

One hypothesis for planetary differentiation is the process through which various layers with diverse chemical and/or physical features arise.

A planet's trajectory around a star, a natural satellite's path around a planet, or an artificial satellite's course around a space object or place, such as a planet, moon, asteroid, or Lagrange point, are examples of orbits in celestial mechanics.

A spacecraft, planet, moon, star, or other object travels on a curved route called an orbit when it is dragged by the gravity of another object.

The force of gravity is what pulls objects with mass in space. An orbit is a path an object follows as it travels around a certain location in space, such as the Moon's orbit of the Earth.

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what fluid property is responsible for the development of the velocity boundary layer? for what kinds of fluids will there be no velocity boundary layer in a pipe?

Answers

Fluid viscosity is the property of the fluid that is responsible for the development of the velocity boundary layer. Non-viscous fluids do  not exhibit the property of velocity boundary layer in a pipe.

What is fluid viscosity?

Thickness of a fluid is called its viscosity. In liquids, velocity boundary layer is formed due to viscosity.

Viscosity is also termed as the flow rate of a liquid. If a liquid has a high flow rate then its viscosity is low and vice versa.

The fluid viscosity can be measured by using viscometer. The formula to measure viscosity is F = μA. u/y

Here F is force,  μ is fluid viscosity, A is the area and u/y sheer deformation rate.

On the contrary, a non-viscous fluid is one that has less thickness and can flow easily.

For example, water is a non-viscous fluid.

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(1 point) suppose a spring with spring constant 8 n/m is horizontal and has one end attached to a wall and the other end attached to a mass. you want to use the spring to weigh items. you put the spring into motion and find the frequency to be 0.9 hz (cycles per second). what is the mass? assume there is no friction. mass

Answers

According to the given statement The mass attached to the spring is 3.99 kg.

What is Spring mass system ?

A spring system with a block hanging from or affixed to the spring's free end is known as a spring-mass system. The spring-mass system is typically used to calculate the duration of any object in a simple harmonic motion.

Briefing:

F = -kx

where k is the spring constant, and

x is the displacement of the spring

The angular frequency of the spring is:

[tex]\omega=\sqrt{\frac{k}{m}}[/tex]

m is the mass of object attached to the spring

So, frequency:

f = ω/2π = [tex]\frac{1}{2 \pi} \sqrt{\frac{k}{m}}[/tex]

m = 4π²f² / k

given that f = 0.9 Hz, and

k = 9 N/m

m = (4×π²×0.9²)/8

m = 3.99 kg

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