Which graphs show the correct relationship between kinetic energy and mass? A. Graph representing a relationship between mass on the x-axis and kinetic energy on the y-axis. the line starts at the origin and increases upwards B. Graph representing the relationship between mass on the x-axis and kinetic energy on the y-axis. the curve starts at the origin and keeps on increasing C. Graph representing a linear relationship between mass on the x-axis and kinetic energy on the y-axis D. Graph representing a relationship between mass on the x-axis and kinetic energy on the y-axis. the line starts at the origin and increases as it goes with a small bend

Answers

Answer 1

The graph representing a linear relationship between mass [m] on the x-axis and kinetic energy (E[k]) on the y-axis is the correct graph.

What is Mechanical Energy ?

Mechanical energy is the energy of either an object in motion or the energy that is stored in objects by their position. Mechanical energy is the sum of Kinetic and Potential Energy. Mathematically -

E [M] = E [K] + E [P]

Given is a set of statements that represents the relationship between mass and Kinetic energy of the body.

The Kinetic energy of the body is the energy of the body by virtue of its motion. Consider a body of mass 'm' moving with velocity 'v' in a straight line. The Kinetic energy of the body will be -

E [K] = 1/2 mv²

If we assume that the velocity remains constant, than the value of 1/2 v² will become constant (say A). Then, the equation can be written as -

E [K] = A × m    ... Eq. 1

The general equation of a straight line representing a linear equation whose y - intercept is 0 is -

y = mx     ... Eq. 2

Comparing Eq. 1 and Eq. 2, we get -

y = E [K]   {Kinetic energy}

m = A    {slope of line}

x = m    {mass}

For A = 1

E [K] = m

E [K] [tex]\alpha[/tex] m

The graph will be linear in relationship with Kinetic energy along y - axis and mass along the x - axis. The graph is attached with the answer.

Therefore, the graph representing a linear relationship between mass [m] on the x-axis and kinetic energy (E[k]) on the y-axis is the correct graph.

To solve more questions on Kinetic energy, visit the link below-

https://brainly.com/question/19309255

#SPJ1

Which Graphs Show The Correct Relationship Between Kinetic Energy And Mass? A. Graph Representing A Relationship

Related Questions

which is harder to lift ?

a, 20 kg
b, 20 Ib
c, same size ​

Answers

The answer is A. 20 kg
The answer would be: A. 20 kg

Where do scientists get their evidence?
-For Study Guide

Answers

Scientists get their evidence through scientific methods such as observation and performing experiments.

What is Experiment?

This is referred to as a part of a scientific method and it is performed by scientists to test a hypothesis so as to know whether it will be accepted or refuted.

This helps scientists to gather information from the various results gotten and the use of our sense organs such as nose etc to observe the various happenings is also a method in which scientists get their evidence. They also use models to study how certain processes occur so as to get the accurate data.

Read more about Experiment here https://brainly.com/question/17274244

#SPJ1

a parking lot going to be 50 m wide and 150 long. wich dimensions could be used for a scale model of a lot

Answers

The dimensions that could be used for a scale model of a lot

25cm x 75cm

This is further explained below.

Which dimensions could be used for a scale model of a lot?

Generally, the equation for is  mathematically given as

A scale model will always employ the lowest possible size of a dimension. Since smaller sizes can be divided more readily, smaller sizes are the ones that are used for scale models.

The dimension is 25cm x 75cm

In conclusion, The dimensions that could be used for a scale model of a lot

25cm x 75cm

Read more about dimensions

https://brainly.com/question/13770353

#SPJ1

The resistance of the incandescent bulb used in a car lamp is equal to OM. Find the current that flows through the bulb if the voltage is at 5V.​

Answers

Answer:The resistance of a 24 W, 12 V filament lamp depends on the current flowing through the lamp. For currents up to 0.8 A, the resistance has a constant

Explanation:

The height that you can jump has an inverse relationship to the
gravitational field strength. When the field strength doubles, the height halves.
The gravitational field strength on the surface of Mars is 3.8 N/kg. If the Olympic
Games were held on Mars in a large dome to provide air to breathe, what would
happen to the records for:

a) weightlifting (weight in N)
b) high jump (height)
c) pole vault (height)
d) throwing the javelin (distance)
e) the 100 m race (time)?

Answers

Answer:The height that you can jump has an inverse relationship to gravitational field strength. So if the field strength doubles, the height

Explanation:

One way to control avalanches is to send explosive charges to key areas on mountain slopes to trigger small avalanches before larger ones can build up. Norway, for instance, uses solar- powered launchers that fire pre-timed charges. Your launcher fires charges at an angle of 70 degrees from the horizontal and a speed of 200 m/s. If you fire a charge and it travels a horizontal distance of 300 m away from you, how high up the slope will it strike?.

Answers

By using uniform motion, the high up the slope will it strike is 730.62 m.

We need to know about uniform motion to solve this problem. The uniform motion is an object's motion under acceleration. It should follow the rule

vt = vo + a . t

vt² = vo² + 2a . s

s = vo . t + 1/2 . a . t²

where vt is final velocity, vo is initial velocity, a is acceleration, t is time and s is displacement.

From the question above, we know that

θ = 70⁰

vi = 200 m/s

x = 300 m

Find the initial velocity in x and y axis

vx = vi cosθ = 68.40 m/s

vy = vi sinθ = 187.94 m/s

Find the time taken to reach 300 m

vx = x / t

68.4 = 300 / t

t = 4.39 second

Find the time taken to reach maximum height

vt = vo + a . t

0 = vy - g . t

vy = gt

187.94 = 9.8 . t

t = 19.18 second

The motion of projectile is raising to maximum height, hence

s = vo . t + 1/2 . a . t²

h = vy . t - 1/2 . g . t²

h = 187.94 . 4.39 - 1/2 . 9.8 . 4.39²

h = 730.62 m

Find more on uniform motion at: https://brainly.com/question/28040370

#SPJ4

Determine the mass of precipitate that forms when 125 ml of 0. 222 m aqueous magnesium chloride is mixed with 225 ml of 0. 105 m aqueous sodium phosphate.

Answers

The mass of magnesium phosphate ppt is 2.432 g.

The net ionic equation is:

3MgCl₂ (aq) + 2Na₃(PO₄) (aq) -----> Mg₃(PO₄)₂ (s) + 3Na⁺ (aq) + 3Cl⁻ (aq)

Mass of magnesium chloride = Molar mass × Moles

                                                 = 0.125 × 0.222

                                                 = 0.02775g

Mass of sodium phosphate = Molar mass × Moles

                                              = 0.225 × 0.105

                                              = 0.023625g

According to reaction stoichiometry, magnesium chloride is the limiting reagent.

So, moles of magnesium phosphate that will be formed = 0.02775/3 = 0.00925

Hence, mass of magnesium phosphate ppt = Moles × Molecular weight

                                                                        = 0.00925 × 263

                                                                        = 2.432 g

Therefore, the mass of magnesium phosphate ppt is 2.432 g.

Read more about Magnesium phosphate:

https://brainly.com/question/20081629

#SPJ4

High temperature and pressure tend to favor flow rather than breakage, so it is surprising that large, very deep earthquakes are sometimes observed, occurring in warm places where the pressure is high. What is accurate about these rare, deep earthquakes?.

Answers

They happen at subduction zones, where shifting mineral assemblages appear to "implode" as a result of increased pressure on the rock as it is subducted deeper.

"Implosion" is the idea that is currently preferred. As subduction zones transfer rocks deeper where pressure is stronger, the building blocks frequently reorganize to take up less space, changing from, for example, a fit-in-the-gap-between-those-below arrangement to one that places rocks one on top of another. Sometimes, this can seem to develop gradually until coming to a head suddenly (I can't move until my neighbor does...), leading to an implosion. The biggest, deepest earthquakes happen where temperatures and pressures are so extreme that we can't even envision rocks breaking. Humans have never excavated a tunnel, not as deep as the earthquakes. Most nuclear bomb tests have been completed. Major nuclear weapons are substantially smaller than large earthquakes.)

To know more about earthquakes refer to https://brainly.com/question/20838847

#SPJ4

3. For each equation, state the reaction type and then balance the equation. (2 points)

b.KCIO3 →_KCI+_0₂
->

Answers

This is a type of decomposition reaction and the balanced reaction is as below

(2)KCIO3 → (2)KCI + (3)0₂

A decomposition reaction is the type of reaction in which the single reactant is broken down into one or more than one smaller product out of which one may or may not be a gaseous product.

In the given reaction, KClO3 is broken into KCl and O2, in which O2 is a gaseous product. Hence, the given reaction is an example of a decomposition reaction.

In the unbalanced chemical equation, the number of Potassium(K) and Chlorine(Cl) is equal on both the reactant and product sides. But the no. od Oxygen(O) is not equal.

Equating the oxygen on both sides, we get the balanced chemical equation as below:

(2)KCIO3 → (2)KCI + (3)0₂

Therefore, the above reaction is an example of a decomposition reaction and the balanced chemical reaction is (2)KCIO3 → (2)KCI + (3)0₂.

LEARN MORE ABOUT CHEMICAL REACTIONS HERE:

https://brainly.com/question/11231920

#SPJ9

Can one-dimensional motion have zero distance but a nonzero displacement? what about zero displacement but a nonzero distance?.

Answers

One-dimensional motion cannot have zero distance with a non zero displacement.

zero displacement occur but a nonzero distance not.

Distance is known as the total path taken by an object.

Displacement is known as the shortest distance taken or path taken.

Distance have only magnitude where displacement has both magnitude and direction. It cannot have zero displacement with nonzero distance because distance has only magnitude.

There will be zero displacement but  a non zero distance.

In a circular motion because displacement is the shortest distance covered.

One-dimensional motion cannot have zero distance with a non zero displacement.

zero displacement occur but a nonzero distance not.

To know more about Distance and displacement.

https://brainly.com/question/14666349?

#SPJ1

If 1 grain of rice is weighing 0.75g and travels at the velocity of 7.5 meter per second(m/s) against the air friction resistance of 42 newtons (n), how long until it loses momentum and falls to the ground with account of the earth's gravitational pull?

Answers

In 0.134 milliseconds the rice will lose its momentum.

We need to know about momentum to solve this problem. Momentum can be defined as the degree of difficulty to stop a moving object. It can be determined by

P = m . v

where P is momentum, m is mass and v is velocity.

change in momentum also can be defined by the impulse which can be defined as

ΔP = F . Δt

where F is force and Δt is interval time

From the question above, we know that:

m = 0.75 g

m = 7.5 x 10¯⁴ kg

v = 7.5 m/s

F2 = 42 N

Find the interval time

ΔP = F . Δt

m . v = 42 . Δt

7.5 x 10¯⁴ . 7.5 = 42 . Δt

Δt = 1.34 x 10¯⁴ second

Δt = 0.134 millisecond

Find more on momentum at: brainly.com/question/25121535

#SPJ4

23.2727272727.

Used a short video to find it.

A tennis ball is hit straight upwards and undergoes a free fall motion as it rises towards its highest point. what changes, if any, would be observed of the velocity and the acceleration of the tennis ball as it rises to its highest point?

Answers

Answer:.

Explanation:

suppose that the fuel accounts for 75% of the initial mass of the rocket and that all of the fuel is consumed at 140 s. find the velocity of the rocket in meters per second at the instant the fuel is exhausted. [ note: take g

Answers

The velocity of the rocket, at the instant, the fuel is exhausted is 2103 m/s

Given that,

m = [tex]m_{0}[/tex] - k t                               ⇒ ( 1 )

m dv / dt = ck - mg                   ⇒ ( 2 )

dv / dt = ( ck / m ) - g

dv = ( ck / ( [tex]m_{0}[/tex] - k t ) - g ) dt

∫ dv = c ∫( k / ( [tex]m_{0}[/tex] - k t ) dt - ∫ g dt

v = -c ln ( [tex]m_{0}[/tex] - k t ) - gt + [tex]C_{1}[/tex]       ⇒ ( 3 )

[tex]C_{1}[/tex] = Constant of integration

At t = 0, v = 0 i.e. v ( 0 ) = 0

Substitute v ( 0 ) = 0 in ( 3 )

0 = -c ln ( [tex]m_{0}[/tex] - 0k ) - 0 g + [tex]C_{1}[/tex]    

[tex]C_{1}[/tex] = c ln ( [tex]m_{0}[/tex] )

Substitute [tex]C_{1}[/tex] in ( 3 )

v = -c ln ( [tex]m_{0}[/tex] - k t ) - gt + c ln ( [tex]m_{0}[/tex] )

v = c ln ( [tex]m_{0}[/tex] /  [tex]m_{0}[/tex] - kt ) - gt     ⇒ ( 4 )

After the fuel is fully consumed after 140 s, the mass of rocket is 25% of initial mass.

m ( 140 ) = 0.25 [tex]m_{0}[/tex]

From ( 1 )

m ( t ) = [tex]m_{0}[/tex] - k t    

m ( 140 ) = [tex]m_{0}[/tex] - 140k

0.25 [tex]m_{0}[/tex] = [tex]m_{0}[/tex] - 140k

From ( 4 )

v ( 140 ) = 2500 ln ( [tex]m_{0}[/tex] /  [tex]m_{0}[/tex] - 140k ) - 9.8 ( 140 )

v ( 140 ) = 2500 ln ( [tex]m_{0}[/tex] / 0.25 [tex]m_{0}[/tex] ) - 1372

v ( 140 ) = 2500 ln ( 4 ) - 1372

v ( 140 ) = ( 2500 * 1.39 ) - 1372

v ( 140 ) = 2103 m / s

Velocity at a given instant is the displacement at that given instant.

The given question is incomplete. The complete question is:

A rocket, fired upward from rest at time t=0, has an initial mass of [tex]m_{0}[/tex](including its fuel). Assuming that the fuel is consumed at a constant rate k, the mass m of the rocket, while fuel is being burned, will be given by m = [tex]m_{0}[/tex] - k t. It can be shown that if air resistance is neglected and the fuel gases are expelled at a constant speed c relative to the rocket, then the velocity v of the rocket will satisfy the equation m  dv / dt  = c k - m g where g is the acceleration due to gravity. Suppose that the fuel accounts for 75% of the initial mass of the rocket and that all of the fuel is consumed in 140 s. Find the velocity of the rocket in meters per second at the instant the fuel is exhausted. [Note: Take g=9.8 m/s and c=2500 m/s.]

To know more about velocity

https://brainly.com/question/18084516

#SPJ4

14. A car is moving with a constant speed around a turn. Can you also say that the car
is moves with a constant velocity, explain.
conds what is the

Answers

Answer:

no

Explanation:

velocity is equal to displacement/time

therefore if you are turning your displacement would not be as large as if you continued with a straight line.

Answer:

No.

Explanation:

For example, the car could be traveling at constant speed around a corner. In this case it`s direction is changing and therefore it`s velocity is changing.

A 0.8 kg toy car is pushed with a force of 4 N. What is the acceleration of the toy car? 2.1 m/s2 ⊝ 3.3 m/s2 ⊝ 5.0 m/s2 ⊝ 6

Answers

Answer:2.1 m/s2. 3.3 m/s2. 5.0 m/s2. 6.2 m/s2.

Explanation:

a cart rolling SW at a velocity of 10 m/s comes to a stop in 2 seconds. What is the car's acceleration?

Answers

Answer:

Acceleration is 5m/s^2.

Explanation:

Acceleration = Change in velocity per unit time.

Therefore, Acceleration a = (10m/s)/(2s)

(10m/s)/(2s) = 5m/s^2

What are the steps in experimental design? Give a short explanation for each step.

Answers

Answer:

First you define your variables meaning you write out the worths of each variable. Second you write your hypothesis and this is your guess on what will happen. Third you design your experimental treatments which is you analyzing what youre going to do. Next assign your subject to treatment groups and lastly youll measured your dependent vauleable.

Explanation:

Valerie's monthly income is $450 and her monthly outflows are $425. How much money could Valerie save in the next eight months without changing her income or spending pattern

Answers

Answer:

$200

Explanation:

[tex]total \:saved = months(monthly \: income - monthly \: outflows)[/tex]

[tex]x = 8(450 - 425)[/tex]

[tex] \times = 8(25)[/tex]

you're going to find the difference of the two values

The money that could Valerie save in the next eight months without changing her income or spending pattern is $200.

What are the types of income?

Passive income is the form of revenue obtained from renting out a home. It is a consistent source of revenue that requires minimal work to maintain.

Earnings from a rental property, limited partnership, or other enterprise are some examples. Gross income includes all sources of revenue. It is an individual's entire personal income before taxes and deductions.

Taxable income is defined as an individual's or a business firm's earnings (amount of income) that are used as a basis by federal or state authorities to calculate the tax to be levied on them.

Total saved money = months (monthly income - monthly out of flow)

x = 8($450 - $425)

x = 8(25)

Therefore, Valerie might save $200 over the next eight months without changing her salary or spending habits.

To learn more about income, refer to the link:

https://brainly.com/question/2194020

#SPJ2

replace one of the clusters with 4 negative charges at 2m from the positive charges. where is the electric field the greatest? is there a point where the field will be zero?

Answers

E = 6.36 [tex]\frac{v}{c}[/tex]

The physical field that surrounds electrically charged particles and exerts a force on all other charged particles in the electric field, either attracting or repelling them, is known as an electric field (also known as an E-field. It can also refer to a system of charged particles' physical field. Electric charges and time-varying electric currents are the building blocks of electric fields. The electromagnetic field, one of the four fundamental interactions (also known as forces) of nature, manifests itself in both electric and magnetic fields.

Electrical technology makes use of electric fields, which are significant in many branches of physics. For instance, in atomic physics and chemistry, the electric field acts as an attractive force to keep atoms' atomic nuclei and electrons together.

To learn more about Electric field click on this link:

brainly.com/question/15800304

#SPJ4

In an electric motor, how do the permanent magnets and the electromagnet interact?

Answers

Answer:

A coil of wire becomes an electromagnet when current passes through it. The electromagnet interacts with a permanent magnet, causing the coil to spin. Voilà!

Explanation:

A coil of wire becomes an electromagnet when current passes through it. The electromagnet interacts with a permanent magnet, causing the coil to spin. Voilà! and ig Magnetic torque: Permanent magnets generate a flux field in the rotor. The stator generates a field that interacts with the rotor's magnetic field. Changing the position of the stator field with respect to the rotor field causes the rotor to shift. The shift due to this interaction is the magnetic torque.

A cylinder of the same material as the one you used in your experiment has a mass of 250 g and a diameter of 10 cm. What is its length?

Answers

Write an expression for the mass of the cylinder in terms of length and equal it to 250 g to find the unknown.

Since the question refers to a previous case (an experiment with a similar cylinder), you probably know the density of that cylinder by now.Also, since this new cylinder is of the same material, it has the same density as the previous one. This fact lets you create a link between the situations or data which helps you to find the unknown quantity of the new cylinder.The volume of the cylinder can be written as follows,

                                      [tex]\begin{aligned}\\\\V &= \text{area}\times \text{length}\\&= \pi \frac{d^2}{4}\times L\end{aligned}[/tex]

The mass of the cylinder is as follows

                     [tex]\begin{aligned}m &= \text{density}\times\text{volume}\\\\&= \rho \times \pi \frac{d^2}{4}\times L\\\\250\,g &= \rho \times \pi \frac{d^2}{4} \times L\\\\L &= \frac{250\,g\times 4}{\pi \rho d^2 }\\\\&= \frac{1000 g}{\pi \times \rho\times (10\,cm)^2}\end{aligned}[/tex]

You need to substitute the known value of density in [tex]g/cm^3[/tex] to get the length in [tex]cm[/tex].[tex]\rho[/tex] is the density and [tex]L[/tex] represents the length.

#SPJ4

what is the speed of Nolan’s Ryan’s fastball if it travels 4.6 meters in .60 seconds?

Answers

To find how long it takes for the ball to reach the point above home plate
you would divide distant by speed,
which is the same as multiplying distance times the reciprocal of speed:
speed=distance%2Ftime <--> time=distance%2Fspeed <--> time=distance%281%2Fspeed%29

We just have to deal with unit conversions.
One mile is 5280 feet,
so 1mile%2F%225280+feet%22 and 5280+feet%2F%221+mile%22
are our "reduction-of-unit-multipliers" for distance.
One hour is 60 minutes and 3600 seconds,
so 1+hour%2F%223600+seconds%22 and 3600+seconds%2F%221+hour%22

Mechanical stress on weight-bearing bones plays a large part in bone remodeling. What single factor plays the largest role in maintaining adequate bone strength?.

Answers

Gravity is the single factor that plays the largest role in maintaining adequate bone strength.

What is Gravity?

Gravity is the force by which a planet or other body draws objects toward its center.

Gravity is the single factor that plays the largest role in maintaining adequate bone strength.

Gravity is by far the weakest known force in nature and thus plays no role in determining the internal properties of everyday matter.

The newton's law of gravitation is expressed mathematically as

F= Gm1m2/r²

where

F = force

G = gravitational constant

m_1 = mass of object 1

m_2 = mass of object 2

r = distance between centers of the masses

Learn more about gravity at: https://brainly.com/question/940770

#SPJ1

QUESTION 6
The formula for kinetic energy is KE =
12 mass times velocity squared. Fill in the
blanks using the formula. Play with it on
paper first.
Kinetic Energy


16
20
Mass
2
6
2
2
2
2
Velocity
/4

Answers

Answer:

k.e.

1/2 ×2×4=4

1/2×6×4=12

m.

16×2÷4=8

20×2÷4=10

A particle having a mass of 1mg has a velocity 1 km/sec, calculate the wavelength of the particle

Answers

The wavelength of the particle is [tex]6.626*10^{-29} cm.[/tex]

What is the wavelength of a particle?Louis de Broglie demonstrated that a particle's wavelength is equal to Planck's constant divided by its mass times its velocity. As a result, the electron in Bohr's circular orbits could be compared to a standing wave, which is a wave that is stationary in space.Using the De Broglie equation, one may determine the wavelength of a moving object: =mvh=1.He proposed that if you know a particle's mass and velocity, you may correlate a wavelength with it. The following is a definition of the de Broglie wavelength: Lambda is the Greek letter for wavelength, while h, Planck's constant, m, and v are the particle's mass and velocity.

To learn more about wavelength, refer to:

https://brainly.com/question/10728818

#SPJ4

To measure the magnitude of the doppler shift, divide the frequency of sound waves in front of the plane by frequency behind the plane. what do you get?

Answers

We get the speed of the wave when we divide the frequency of sound waves in front of the plane by frequency behind the plane.

Assume the source s, is behind, and the listener l, is in front of the plane. The formula for the doppler effect is given by:

fL=((v±vL )/(v±vS)) fS

Thus, dividing the frequency of sound waves in front of the plane by frequency behind the plane gives the speed of the waves.

where fL is the frequency perceived by the observer (listener),

fS is the frequency of the source,

v is the speed of the waves,

vL the speed of the listener and

vS the speed of the source.

The Doppler Effect is the shift in observed frequency of a wave caused by the movement of the source or detector relative to the transmitting medium. The Doppler Effect happens when a wave source and/or observer move relative to one other, resulting in the observer measuring a different frequency of the waves than the source. In essence, this effect happens majorly in two scenarios, a stationary observer and a moving source or a moving source and a stationary observer.

To learn more about Doppler effect. Click, https://brainly.com/question/9165991.

#SPJ4

In a first order decomposition, the constant is 0.00134 sec-1. what percentage of the compound is left after 4.71 minutes?

Answers

In a first order decomposition after 4.71 minutes, 37.8% of the compound is left.

Calculation

A = A0e-kt

A/A0 = e-0.00134t, [k = 0.00299, divide both sides by A0]

A/Ao = e-0.00134*282.6, [t = 4.71 min*(60 sec/ 1 min) = 282.6 sec]

A/A0 = .3786 = 37.8%

What is order of Decomposition?

Invertebrate creatures go through five general stages of decomposition: fresh, bloat, active decay, advanced decay, and dry/remains.

What is telecom order decomposition?

The procedures for breaking down a sales order into numerous work orders or service orders are outlined in the Order Decomposition section.

One sub-order can be created for each business line in a Triple Play Telco Sales order, which includes three services: landline, Internet, and wireless.

To know more about order of Decomposition visit:

https://brainly.com/question/4288256

#SPJ4

Obtain expressions in component form for the position vectors having the following polar coordinates.

Answers

After transforming the position vectors from polar coordinates to cartesian coordinates, we get -

a) → r = 12.4 m , θ = 170°    ↔     - 12.21 i + 2.15 j

b) → r = 4 cm , θ = 50°   ↔    2.57 i + 3.06 j

c) → r = 20 inches , θ = 210°   ↔    - 17.32 i - 10 j

What does a position vector represent?

A position vector is a vector that is used to represent the position of a point in the coordinate system.

Given are the polar coordinates of three points in two dimensional coordinate system.

In order to convert the polar coordinate (r, θ) into cartesian coordinates

(x, y) use the following relations -

x = r × cosθ

y = r × sinθ

a) → r = 12.4 m , θ = 170°

x = 12.4 x cos (170°) = 12.4 x -0.98480775301 = -12 .21

y = 12.4 x sin (170°) = 12.4 x 0.17364817766 = 2.15

In cartesian form → ( -12.21 i + 2.15 j )

b) → r = 4 cm , θ = 50°

x = 4 x cos (50°) = 4 x 0.64278760968 = 2.57

y = 4 x sin (170°) = 4 x 0.76604444311 = 3.06

In cartesian form → ( 2.57 i + 3.06 j )

c)r = 20 inches , θ = 210°

x = 20 x cos (210°) = 20 x -0.86602540378 = -17.32

y = 20 x sin (210°) = 20 x -0.5= -10

In cartesian form → ( -17.32 i - 10 j )

Therefore, after transforming the position vectors from polar coordinates to cartesian coordinates, we get -

a) → r = 12.4 m , θ = 170°    ↔     - 12.21 i + 2.15 j

b) → r = 4 cm , θ = 50°   ↔    2.57 i + 3.06 j

c) → r = 20 inches , θ = 210°   ↔    - 17.32 i - 10 j

To solve more questions on  coordinates conversion, visit the link below-

https://brainly.com/question/15215968

#SPJ1

a car accelerates at a constant rate from 15 m/s to 25 m/s while it travels a distant of 125 m how long does it take to achieve the final speed

Answers

Answer:

6.25 sec

Explanation:

Given: initial velocity = 15 m/s final velocity = 25 m/s, and distance = 125 m

average velocity = (25 + 15)/2

Distance(D) = Rate(R) x Time(T)

125 = ((25 + 15)/2) x T

125 = 20T

T = 6.25 sec

Hence the required time to achieve final speed is 6.25 sec

Answer:

See below

Explanation:

Here is another way

d = vo t + 1/2 a t^2        a = change vel /change t =  10/t

125 = 15 t + 1/2 (10/t) t^2

125 = 20 t

t = 125/20 = 6.25 s

4. An expandable container
that contains 500 L of argon
gas has an initial pressure of
1.00 atm. If the pressure was
increased to 4 058 mmHg,
calculate the final volume of
the container. Assume that the
temperature is constant.

Answers

The final volume of the container that contains argon gas at 4058 mm of Hg is 93.80 L.

Given in the question

Initial pressure = 1.00 atm = P1

Initial volume = 500 L = V1

Final Pressure = 4058 mm of Hg = P2

To find

Final Volume = V2

Now, the unit of pressure is different for each case, So we need to convert mm of Hg into atmospheric pressure.

Using unitary method

760 mm of Hg = 1 atm

1 mm of Hg = 1/760 atm

1×4058 mm of Hg = 1/760 × 4058 atm

4.058 mm of Hg =  4058/760 atm

4.058 mm of Hg =  5.3 atm

Now as it is given in the question that the temperature remains constant, we can apply Boyle's law.

By using Boyle's law

P1V1 = P2V2

Put in the value

(1.0)(500) = (5.3)(V2)

V2 = 500/5.3

V2 = 93.80 L

Therefore, the final volume of the argon gas at 4058 mm of Hg is 93.80 L.

LEARN MORE ABOUT BOYLE'S LAW HERE: https://brainly.com/question/24938688

#SPJ9

Other Questions
Select the correct answer from each drop-down menu.Read this excerpt from The Origin of the Royal Society, 16451662. Then complete the following sentences. According to the second paragraph, members of the Royal Society discussed medicine, theology and ancient history.According to the fourth paragraph, members didnt want to eliminate the works of Copernicus, but instead wanted to build on them. who helps me synonym and antonyms A.) Find the exact value of:1.) 7/8 + 1/6 DIVIDED BY 2/92.) 8/ 0.4^3B.) A stadium has a seating capacity of 15400 seats.1.) Calculate the # of people in the stadium when 75% of the seats are occupied.2.) The stadium is to be renovated with a new seating capacity of 20790 seats, After the renovation, what will be the % increase in the # of seats.C.) a NEON Flash light flashes 5 times every 10 seconds. Show that the light flashes 43200 times in a day.D.) Expand and Simplify (2k - 3) (k -2) Given that 221x=25base10 find that base x HELP ME PLEASE!!!!!!! MY MOM WILL OBLITERATE ME!!!!!!!!!!!!!!!!Which sentence illustrates a problem and solution interaction?(1 point)When my cousins come to visit, we put an extra leaf in the table to make it bigger.Because the island is so far from the mainland, the people have to wait for needed supplies.Compared to 2020, the 2015 school year was virtually problem-free.Because of severe drought in the area, this years harvest has been dramatically lower than normal. how one or two later chemical symbols are used to intensify elements whose names begin with the same letter Which aphorism from poor richard's almanac best reflects the virtue of industry? What is an example of an oxymoron?PLS HELP! Question 1 options:A Happy birthdayB Small stuffC Big babyD Happy feetQuestion 2 Which is NOT an example of an idiom? Question 2 options:A I am so tired I could sleep for a million years. B I am tired. C That poor guy is all washed up. D I am so hungry, I could eat a horse. What is an arbitration decision called?A. JudgmentB. AgreementC. AwardD. Facilitator One loop of a trna molecule includes the ______, which is complementary to an mrna codon, and the other end of the trna molecule carries an ______ corresponding to that mrna codon. which of the forces have infinite range? group of answer choices weak nuclear force only both gravitational and weak nuclear forces electromagnetic force only both electromagnetic and gravitational forces marco and tatiana are married and file separate returns for 2021. tatiana itemizes her deductions on her return. marco's adjusted gross income was $18,000, his itemized deductions were $2,400. neither have any dependents. Please help me in this question Give the answers as well as explanation What value (s) of x will make [tex]x^{2}[/tex] =9 true? discrepancy between calculated charge and the accepted value of charge of electron Solve pls brainliest if the work required to stretch a spring 3 ft beyond its natural length is 12 ft-lb, how much work (in ft-lb) is needed to stretch it 9 in. beyond its natural length? 20 plants were measured and their heights recorded in cm.Here are the heights:8.512.613.217 11.17.74.8 9.9 13.515.6 17.41412 14.7 9.59.81011.3510 156.95please answer :a) and b) what is the difference? -8 - 3 A ball is dropped from a state of rest at time t=0.The distance traveled after t seconds is s(t)=16t2 ft.(a) How far does the ball travel during the time interval [6,6.5]?s= ___ft(b) Compute the average velocity over [6,6.5].st= ___ ft/sec(c) Compute the average velocity over time intervals [6, 6.01] , [6, 6.001] , [6, 6.0001] , [5.9999, 6] , [5.999, 6] , [5.99, 6] .Use this to estimate the object's instantaneous velocity at t=6.V(6)=____ ft/sec