The buildup of thermal energy in a collapsing gas cloud leads to thermal pressure that can halt the gravitational collapse. What must happen for the gravitational collapse to continue?.

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.]

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

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.

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1m² = 10000cm²

1m² = 1000000mm²

1m² = 1e-6km²

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.

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.

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

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%

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

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.

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The wavelength of light determines its color and the amplitude of light determines its brightness.

Wavelength can be defined as the distance between two successive crests or troughs of a wave.

The wavelength of light determines color of the light.

The amplitude of a wave is the maximum upward displacement of the wave.

The amplitude of light determines its brightness.

Thus, the wavelength of light determines its color and the amplitude of light determines its brightness.

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Taking into account definition of percent yield, the percent yield for the reaction is 70.46%.

In first place, the balanced reaction is:

Zn + 2 HCl → ZnCl₂ + H₂

By reaction stoichiometry (that is, the relationship between the amount of reagents and products in a chemical reaction), the following amounts of moles of each compound participate in the reaction:

The molar mass of the compounds is:

Then, by reaction stoichiometry, the following mass quantities of each compound participate in the reaction:

The following rule of three can be applied: if by reaction stoichiometry 65.37 grams of Zn form 136.27 grams of ZnCl₂, 19.2 grams of Zn form how much mass of ZnCl₂?

mass of ZnCl₂= (19.2 grams of Zn× 136.27 grams of ZnCl₂)÷ 65.37 grams of Zn

mass of ZnCl₂= 40.02 grams

Then, 40.02 grams of ZnCl₂ can be produced when 19.2 grams of Zn react with an excess of HCl.

The percent yield is the ratio of the actual return to the theoretical return expressed as a percentage.

The percent yield is calculated as the experimental yield divided by the theoretical yield multiplied by 100%:

percent yield= (actual yield÷ theoretical yield)× 100

where the theoretical yield is the amount of product acquired through the complete conversion of all reagents in the final product, that is, it is the maximum amount of product that could be formed from the given amounts of reagents.

In this case, you know:

Replacing in the definition of percent yields:

percent yield= (28.2 grams÷ 40.02 grams)× 100

Solving:

percent yield= 70.46%

Finally, the percent yield for the reaction is 70.46%.

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This response is caused by the action of the eye structure called Iris

The black structure in the center of your eye is called as Pupil. It is second layer, which the light passes when entering the eye. In bright light the pupil shrinks and in dim light the pupils expands.

As said above, the pupils size changes based on the amount light entering the eye. This moving of pupils is controlled by Iris, the coloured part of the eye.

Therefore, the given response is caused by the action of the eye structure called the

3 ) Iris

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Answer:

k.e.

1/2 ×2×4=4

1/2×6×4=12

m.

16×2÷4=8

20×2÷4=10

Answer:

Thermosphere. Located between about 80 and 700 kilometers (50 and 440 miles) above Earth's surface is the thermosphere, whose lowest part contains the ionosphere. In this layer, temperatures increase with altitude due to the very low density of molecules found here. It is both cloud- and water vapor-free

Explanation:

i might be wrong

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:

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

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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:

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.

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The new volume of the gas will increase to twice the original volume (Option D)

From the question given above, the following data were obtained:

The new volume of the gas can be obtained as illustrated below:

P₁V₁ / T₁ = P₂V₂ / T₂

Since the temperature is constant, we have:

P₁V₁ = P₂V₂

P × V = 0.5P × V₂

Divide both side by 0.5P

V₂ = (P × V) / 0.5P

V₂ = V / 0.5

V₂ = 2V

Thus, the new volume of the gas will increase to twice the original volume (Option D)

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

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

                     [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]

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According to the relaxed power, the far point in meter unit is 0.28 meters.

We need to know about the relaxed power of the eye to solve this problem. Relaxed power can be defined as the ability of the optical device to see. It can be represented by a dioptre unit. The relaxed power formula is

P = 1/di + 1/do

where P is power of the eye, di is distance between eye lens and image and do is distance between eye lens and image.

From question above, the given parameters are

P = 53.6 d

di = 2 cm = 0.02 m

By substituting the given parameters, we can calculate the far point

P = 1/di + 1/do

53.6 = 1/0.02 + 1/do

1/do = 53.6 - 50

1/do = 3.6

do = 1/3.6

do = 0.28 m

Hence, the far point in meter unit is 0.28 meters.

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

Explanation:

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

velocity is in the vertical direction is 38.124m/s

Projectile motion may be defined as a particle moves along the curved pat with the constant acceleration when through near the earth surface.

It is a parabolic because it is affected by gravity.

along x axis velocity responsible for horizontal motion

along y axis velocity responsible for vertical motion

path followed by a projectile is known as a trajectory.

a ball is kicked at an angle of degrees = 33 degree

velocity  of ball, v= 70m/s

v has two components one in horizontal and in one vertical.

velocity is in the vertical direction is given by

[tex]v_{x} = v sin\theta[/tex]

[tex]v_{x} = 70 sin(33)[/tex]

[tex]v_{x} = 38.124[/tex]m/s

velocity is in the vertical direction is 38.124m/s

The given question is incomplete. The complete que is

a ball is kicked at an angle of 33 degrees relative to horizontal with a velocity of 70m/s. how much of this velocity is in the vertical direction? group of answer choices

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Answer:

H = 86.5 m = 1/2 g t^2        to get time for cannon ball to fall 86.5 m

t = (2 * 86.5 / 9.8)^1/2 = 4.20 sec

S = Vx t = 105 m/s * 4.2 s = 441 m        horizontal distance

Answer:

Oxegen

Explanation:

On a distance-time graph, an object's motion is indicated by a sloping line. The slope or gradient of the line in a distance-time graph is equal to the object's speed. The object is travelling more quickly the steeper the line is (and the bigger the gradient).

The vertical separation (in this case, the elevational difference between points "A" and "B") is 10,000 feet. A to B is separated by a horizontal distance of 5 miles. Elevation differential (ED) divided by horizontal distance is used to calculate gradients (HD) GRADIENT travels at 2000 feet per mile (10,000 feet divided by 5 miles). The gradient is a vector operation that transforms a scalar function into a vector whose magnitude corresponds to the function's highest rate of change at the gradient's point.

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As a freely falling object picks up downward speed. What happens to the power supplied by the gravitational force? The power will increase because (Power=work/time; work=f(d); and F x d/t; FV).

As a freely falling object picks up downward speed. What happens to the power supplied by the gravitational force? The power will increase because (Power=work/time; work=f(d); and F x d/t; FV).

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Speed is a scalar quantity because it is only represented by magnitude not a direction.

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

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

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We shall use the ideas connected to the vector sum to develop this issue. To achieve this, we will add the person's displacement vectors to determine the total distance he has gone from the initial point (0 position) to the destination position.

Then quarterback will throw the ball 44.4 yards in a particular direction with the angle of  54.16 °

t = 25.1seconds.

X(t)= 16cos75°t

Y(t)= 6 + (Vosin75°t - 16t^2)

Converting 78 yards to feet :

1 yard = 3 feet

78feet =?

78×3=234 feet

Y(t)= number of feet above the ground at t seconds

VoCos75° t = 234

t = 234/(VoCos75°)

At this time,4 = y(234/VoCos75°)

4 = 6 + VoSin75°(234/VoCos75) - 16(234/VoCos75°)^2

Vo= 140.66ft/s

Time,t= 234/(140.66× Cos75°)

t = 25.087seconds

t= 25.1 seconds (1 decimal place)

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Option A from the following options represents the resultant vector r = a-b, therefore the correct answer is option A.

The quantities that contain the magnitude of the quantities along with the direction are known as the vector quantities.

Examples of vector quantities are displacement, velocity acceleration, force, etc.

As given in the problem we have to find out which of the following vector best represents r = a - b,

As per the triangle law of the vector addition, the resultant sum is represented by the closing side of the triangle in regular order.

Thus, the correct answer is option A.

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