A rocket is fired in deep space, where gravity is negligible. In the first second it ejects 1/160 of its mass as exhaust gas and has an acceleration of 14.0 m/s^2.

Required:
What is the speed vgas of the exhaust gas relative to the rocket?

Answers

Answer 1

Answer:

840 m/s

Explanation:

Given that,

In the first second the rocket ejects 1/160 of its mass as exhaust gas and has an acceleration of 14.0 m/s².

We need to find the speed of the exhaust gas relative to the rocket.

The thrust of rocket is given by :

[tex]T=v_{gas}\dfrac{dm}{dt}\\\\ma=v_{gas}\dfrac{dm}{dt}\\\\v_{gas}=\dfrac{ma}{\dfrac{dm}{dt}}\\\\v_{gas}=\dfrac{14m}{\dfrac{1}{60}m}\\\\v_{gas}=840\ m/s[/tex]

So, the speed of the exhaust gas relative to the rocket is 840 m/s.

Answer 2

The speed ( Vgas) of the exhaust gas relative to rocket is : 840 m/s

Given data :

In first round Rocket ejects  1/60 of mass as exhaust gas

Acceleration of rocket ( a ) = 14.0 m/s²

Determine the speed of the exhaust gas relative to rocket

We will apply the equation for Rocket thrust

T = Vgas * [tex]\frac{dm}{dt}[/tex]

where : T = ma

∴ Vgas = ma / [tex]\frac{dm}{dt}[/tex]

            = 14 m / [tex]\frac{1}{60}[/tex] m

therefore V gas = 840 m/s

Hence we can conclude that the  speed ( Vgas) of the exhaust gas relative to rocket is : 840 m/s

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Related Questions

significance of practicals in the discipline of geography​

Answers

Geographic information provides context for understanding spatial relationships and human-environment interaction. Geography is considered a science and thus also uses the scientific method for data collection, analysis, and interpretation.

Why Geography is a discipline?
Geography as a discipline is related to space and takes note of spatial characteristics and attributes. It studies the patterns of distribution, location and concentration of phenomena over space and interprets them providing explanations for these patterns.

HELP ASAP!!
The table below lists protected constitutional rights and how they may be limited.

Protected Rights Limitations
Property rights ?
Unwarranted search and seizure Crime suspects may be searched
Which phrase completes the table? (3 points)

Group of answer choices

Poll taxes

Eminent domain

Jury trial

Background checks

Answers

Answer:

jury trial

Explanation:

rights to a fair trial by jury, or the whole innocent until proven guilty ya know

Which is the function of a nucleus within a eukaryotic cell?
O A) Transport materials within the cell.
O B) Control what materials move into and out of the cell.
OC) Provide the cell with energy to perform its other functions.
OD) Store genetic information that provides instructions for the cell.

Answers

ANSWER
D) store genetic information that provides instructions for the cell

a plank rests on two supports that exert upward forces of 14N and 18N. find the weight of the plank.

Answers

Answer:

32

Explanation:

Up forces and Down forces must be equal if the object is balanced

For this question

down force is weight of the plank

up forces is 14 and 18

14+18=Weight of plank


A large bottle contains number medical tablets each having a mass of 250
mg.The mass of all tablets is 1kg.Calculate the number of tablets in the
bottle.​

Answers

First of all, this isn't physics. But, here's the answer:

1 gram is a 1000 milligram and 250 milligram is 250 * 0.001 g which is 0.25 gram.

Since 1 kg is 1000 g, we divide 1000 by 0.25 and we get 1000 * 4 which is 4000.

There are [tex]4000[/tex] tablets inside the bottle.

If the_____of a wave increases, its frequency must decrease.

a. period
b. energy
c. amplitude
d. velocity

Answers

Answer:wrong. Jts not velocity. Its period.

Explanation:

Took the test

AKS 8a - Phenomena-Based Question: Use the data and the graph to make a claim as to which person represents each letter on the graph. In your discussion, be sure to:



explain how the data matches each line on the graph

describe, compare, and contrast the rates of speed and change in position for each person based on the documents

explain what the slope of each line helps determine



Person

Action

Distance Travelled

Time

Dad

Drives home from the grocery store

1 mile

10 minutes

Aiden

Rides his bike to a friend’s house

0.75 miles

10 minutes

Mom

Waits at the doctor’s office

0 miles

10 minutes

Alexis

Walks to her mailbox down the long driveway

0.25 miles

10 minutes

Answers

Answer: what’s the answer

Explanation:

1. Two forces F~
1 and F~
2 are acting on a block of mass m=1.5 kg. The magnitude of
force F~
1 is 12N and it makes an angle of θ = 37◦ with the horizontal as shown in
figure-1. The block is sliding at a constant velocity over a frictionless floor.
Figure-1
(a) Find the value of the normal force on the block.
[3 marks]
(b) Find the magnitude of force F~
2 that is acting on the block
[4 marks]
(c) Find the magnitude of force F~
2 if the block accelerates with a magnitude of
a = 2.5 m/s2 along the direction of F~
2 . [3 mark

Answers

Answer:

(a) Normal force=7.48 N

Explanation:

N+F~1 sinθ-mg=0

=>N=1.5*9.8-12 sin37◦

=>N=14.7-7.22=7.48 N

Next 100 points if u answer this

Answers

Answer: When frequency increases more wave crests pass a fixed point each second. That means the wavelength shortens. So, as frequency increases, wavelength decreases. The opposite is also true—as frequency decreases, wavelength increases.

The frequency and wavelength of a wave are related. When frequency increases more wave crests pass a fixed point each second. ... So, as frequency increases, wavelength decreases. The opposite is also true—as frequency decreases, wavelength increases.

uncountable the number of times that something happens during a period of time. frequency of: Changes in sea temperature will increase the frequency of hurricanes. with increasing frequency (=more often): Accidents occur here with increasing frequency.

Explanation:

If you jump upward with a speed of 1.70 m/s how high will you be when you stop rising?

Answers

Answer:

How long do you jump (sec) ?

Explanation:

A Spring is pulled to 10cm and held in place with a force of 500N .what is the spring constant

Answers

We are given:

extension of the spring (x) = 10 cm OR 0.1 m

Force applied to keep it in position (F) = 500 N

Solving for the spring constant:

We know that F = kx (when the spring is extended)

replacing the variables with the given values

500 = k * 0.1

k = 5000 N/m

This means that to extend the spring by 1 m, we have to apply a force of 5000 N

the y-axis of a position-time graph represents__________.

Answers

Answer:position relative to the starting point

Explanation:

True or False: In a p-n junction diode, the absolute value of the electric field is the largest at the metallurgical junction (exactly where p-type and n-type semiconductors meet).

Answers

Answer:

false

Explanation:

In a p-n junction diode, the absolute value of the electric field is the largest at the metallurgical junction is false statement.

What is electric field?

An electric field is a physical field that surrounds electrically charged particles and acts as an attractor or repellent to all other charged particles in the vicinity. It can also refer to a system of charged particles' physical field.

In a p-n junction diode, the absolute value of the electric field is the not largest at the metallurgical junction field is maximum at the depletion region.

In a p-n junction diode, the absolute value of the electric field is the largest at the metallurgical junction is false statement.

To learn more about electric field refer to the link:

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How much work is required to stretch a spring 0.133 m if its force constant is 9.67 N/m?

Answers

Answer:

refer to attachment

Explanation:

hope it will helps u

Answer: 5cm

Explanation:

A 2.0 cm thick brass plate (k_r = 105 W/K-m) is sealed to a glass sheet (kg = 0.80 W/K m), and both have the same area. The exposed face of the brass plate is at 80°C, while the exposed face of the glass is at 20 °C. How thick is the glass if the glass brass interface is at 65 C? Ans. 0.46 mm​

Answers

I need a good phisics teacher for one day online please123

For a given centrifugal pump, if the speed of rotation of the impeller is cut in half, how does the power required to drive the pump change

Answers

Answer:

The power required to drive the pump is reduced in [tex]\frac{1}{8}[/tex].

Explanation:

From Turbomachinery, we find that power required to drive the pump ([tex]\dot W[/tex]) is directly proportional to the cube of the speed of rotation of the impeller ([tex]\dot n[/tex]). That is:

[tex]\dot W \propto \dot n^{3}[/tex]

[tex]\dot W = k\cdot \dot n ^{3}[/tex] (Eq. 1)

Where [tex]k[/tex] is the proportionality constant.

And now we eliminate the proportionality constant by constructing the following relationship:

[tex]\frac{\dot W_{B}}{\dot W_{A}} = \left(\frac{\dot n_{B}}{\dot n_{A}}\right)^{3}[/tex] (Eq. 2)

If we know that [tex]\frac{\dot n_{B}}{\dot n_{A}} = \frac{1}{2}[/tex], then:

[tex]\frac{\dot W_{B}}{\dot W_{A}} = \frac{1}{8}[/tex]

The power required to drive the pump is reduced in [tex]\frac{1}{8}[/tex].

The second-order dark fringe in a single-slit diffraction pattern is 1.40 mm from the center of the central maximum. Assuming the screen is 89.0 cm from a slit of width 0.710 mm and assuming monochromatic incident light, calculate the wavelength of the incident light.

Answers

We know, for single slit :

[tex]y =\dfrac{ n\lambda L}{a}\\\\\lambda = \dfrac{ya}{nL}[/tex]       ...1)

[tex]y = 1.4\ mm = 1.4 \times 10^{-3}\ m[/tex]

n = 2

L = 89 cm = 0.89 m

[tex]a=7.1\times 10^{-4}\ m[/tex]

Putting all these in equation 1), we get :

[tex]\lambda = \dfrac{ya}{nL}\\\\\lambda = \dfrac{1.4\times 10^{-3}\times 7.1\times 10^{-4}}{2\times 0.89 }\\\\\lambda = 5.584 \times 10^{-7}\ m[/tex]

Therefore, wavelength of the incident light is [tex]5.584 \times 10^{-7}\ m[/tex] or 558.4 nm.

Hence, this is the required solution.

20 points - Help me please with explanation of (A) and (B)​

Answers

(a)to find voltage of battery we use the wire containg 4 ohm resistor and 3 ohm resistor

the voltage of 4ohm = Ri=4x1.5=6V

the voltage of 3 ohm = Ri=3x1.5=4.5v

since voltage is additive in series then Voltage of batteries = 4.5+6=10.5V

(b) the currrent flowing in 20 ohm resistor is the same as 8 ohm resistor so

Voltage of 8 ohm + voltage of 20 ohm= 10.5

8i+20i=10.5

28i=10.5

i=0.375 A

he triceps muscle in the back of the upper arm extends the forearm. This muscle in a professional boxer exerts a force of 2.00 103 N with an effective perpendicular lever arm of 2.80 cm, producing an angular acceleration of the forearm of 145 rad/s2. What is the moment of inertia of the boxer's forearm

Answers

Answer:

Moment of inertia = 0.3862kg-m²

Explanation:

2.00x10³

2.80cm

145 rad

r = r⊥ x F

F is an applied force

r⊥ is the distance between the applied force and axis

Force exerted = 2.00x10³

r⊥ = 2.8cm = 0.028m

Alpha = 145rad/s²

r = 0.028m x 2.00x10³

r = 56.0N-m

To get the moment of inertia

56.0N-m² = (145rad/s²) x I

The I would be:

I = (56.0N-m²)/(145rad/s²)

I = 56/145

= 0.3862Kg-m²

This is the moment of inertia.

Thank you!

HELP!!! An object accelerates from rest to 85 m/s over a distance of 36 m. What acceleration did it
experience?

Answers

Answer:

Explanation:

Given:-

Initial velocity (u) = 0m/s

Final velocity (v) = 85m/s

Distance covered (s) = 36m

To Find:-

Acceleration of the object (a)

Solution:-

By using 3rd equation of motion

→ v² = u² +2as

Substitute the value we get

→ 85² = 0² +2×a×36

→ 7225 = 0 + 72 ×a

→ a = 7225/72

→ a = 100.34m/s²

∴ The acceleration of the object is 100.34m/s²

Additional Information!!

The rate of change of velocity at per unit time is called acceleration .

✧ SI unit of acceleration is m/s²

✧ It is vector Quantity ( both magnitude and directio

At its peak, a tornado is 74.0 m in diameter and carries 335-km/h winds. What is its angular velocity in revolutions per second?

Answers

Answer:

0.399 rev/s

Explanation:

Given that,

The diameter of a tornado, d = 74 m

Radius, r = 37 m

Linear velocity, v = 335 km/h = 93.05 m/s

We need to find the angular velocity in revolutions per second. Let it is [tex]\omega[/tex]. The relation between angular velocity and linear velocity is as follows :

[tex]v=r\omega\\\\\omega=\dfrac{v}{r}\\\\\omega=\dfrac{93.0556}{37}\\\\\omega=2.51\ rad/s[/tex]

or

[tex]\omega=\dfrac{2.51}{2\pi}\\\\\omega=0.399\ rev/s[/tex]

So, the angular velocity of the blade is 0.399 rev/s.

If you can run 10.43 m in 14.22 s. How fast are you running?

Answers

Answer:

I am 15th in my state for 55m hurdles with a time of 10.4 seconds

Explanation:

BAM

Answer: 44 m per minute

Explanation:

What is the largest planet in our galaxy

Answers

In our Solar System, Jupiter is the largest planet we have. it has the surface area of 23.71 billion mi^2. it beats all the other planets in both mass and volume.

Which accurately completes the statement? Conduction involves the transfer of electric charge or due to the movement of particles. O thermal energy Olight waves O protons o neutrons​

Answers

Answer:

A: thermal energy

Conduction involves the transfer of electric charge or thermal energy due to the movement of particles. So, the correct option is 1.

What is meant by heat transfer ?

Heat transfer is defined as the process of transferring heat from one body to another based on the temperature difference between them.

Here,

There are several mechanisms of heat transfer such as conduction, convection, radiation, etc.

Conduction or thermal conduction is a commonly used mechanism for heat transfer.

Conduction is defined as the process by which heat is transferred from one body to other in contact with each other. In conduction, the heat flows from the hotter body to the surface of the colder body which is in contact with it.

This property or ability of the body to conduct heat or thermal energy is known as its thermal conductivity.

Conductions requires a temperature gradient to transfer the heat. The temperature difference between the bodies leads to the heat flow between them.

Conduction occurs mostly in solids and liquids, in where the intermolecular distance between the particles is higher than that in gases.

Hence,

Conduction involves the transfer of electric charge or thermal energy due to the movement of particles.

To learn more about heat transfer, click:

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Sustained exercise that increases heart and lung fitness; may also alleviate depression and anxiety is called anaerobic exercise? True or false

Answers

Answer:

False

Explanation:

False, oxygen is very necessary for sustained exercise. That is called aerobic exercise.

If the velocity of Homer the astronaut (mass =200 kg) is 5 m/s and he runs into and grabs his stationary pal Larry (mass = 150 kg), what is the new velocity of the astronauts after the collision?

Answers

We are given:

Homer the Astronaut:

Mass of Homer the astronaut(m1) = 200 kg

initial velocity of Homer the astronaut(u1) = 5 m/s

Larry the Pal:

Mass of Larry the Pal (m2) = 150 kg

initial velocity of Larry the Pal (u2) = 0 m/s

Since they will move together after the collision, they will have the same velocity:

v1 = v2 = V

Solving for the Final velocity:

from the law of conservation of momentum:

m1u1 + m2u2 = m1v1 + m2v2

since v1 = v2 = V:

m1u1 + m2u2 = V(m1 + m2)

replacing the variables with the given values

200 * 5 + 150 * 0 = V(200 + 150)

1000 = 350V

V  = 1000 / 350

V = 2.86 m/s

Leoni is participating in four drawing competitions. If the probability of her losing any
drawing competition is 0.7, find the probability of her winning
a) at least one competition.
b) exactly two competitions.

Answers

Answer:

(a) [tex]Probability = 0.7599[/tex]

(b) [tex]Probability = 0.2646[/tex]

Explanation:

Represent losing with L and winning with W.

So:

[tex]L = 0.7[/tex] --- Given

[tex]n = 4[/tex]

Probability of winning would be:

[tex]W = 1 - L[/tex]

[tex]W = 1 - 0.7[/tex]

[tex]W = 0.3[/tex]

The question illustrates binomial probability and will be solved using the following binomial expansion;

[tex](L + W)^4 = L^4 + 4L^3W + 6L^2W^2 + 4LW^3 + W^4[/tex]

So:

Solving (a): Winning at least 1

We look at the above and we list out the terms where the powers of W is at least 1; i.e., 1,2,3 and 4

So, we have:

[tex]Probability = 4L^3W + 6L^2W^2 + 4LW^3 + W^4[/tex]

Substitute value for W and L

[tex]Probability = 4 * 0.7^3*0.3 + 6*0.7^2*0.3^2 + 4*0.7*0.3^3 + 0.3^4[/tex]

[tex]Probability = 0.7599[/tex]

Hence, the probability of her winning at least one is 0.7599

Solving (a): Wining exactly 2

We look at the above and we list out the terms where the powers of W is exactly 2

So, we have:

[tex]Probability = 6L^2W^2[/tex]

Substitute value for W and L

[tex]Probability = 6*0.7^2*0.3^2[/tex]

[tex]Probability = 0.2646[/tex]

Hence, the probability of her winning exactly two is 0.2646

what causes diffferent air density?

Answers

Answer:

The temperature and gravity both affects the density

What is the force per meter of length on a straight wire carrying a 8.05 A current when perpendicular to a 0.82 T uniform magnetic field?

Answers

Answer:

6.601 N/m.

Explanation:

Generally, the force on a wire carrying current in a magnetic field can be determined by:

F = BIL Sinθ

where: F is the force, B is the value of the magnetic field, I is the value of current in the wire and θ is the angle between the direction of current and magnetic field.

For force per meter of length, we have;

[tex]\frac{F}{L}[/tex] = BI Sinθ

Given: I = 8.05 A, B = 0.82 T and θ = [tex]90^{o}[/tex](since they are perpendicular).

Then;

[tex]\frac{F}{L}[/tex] = 0.82 x 8.05 x Sin [tex]90^{o}[/tex]

  = 6.601

  = 6.601 N/m

the force per meter length is 6.601 N/m.

The required magnitude of force per meter of wire is of 6.601 N/m.

Given data:

The magnitude of current in a wire is, I = 8.05 A.

The strength of magnetic field is, B = 0.82 T.

We known that, in a magnetic field there is always a force acting on a wire kept in the region. This force is known as magnetic force, and the expression for the magnetic force is given as,

[tex]F = B \times I \times L \times sin \theta[/tex]

Now,

For the force per unit length, and current being perpendicular to magnetic field,

[tex]\dfrac{F}{L} = B \times I \times sin90\\\\\dfrac{F}{L} = 0.82 \times 8.05 \times sin90\\\\\dfrac{F}{L} = 6.601 \;\rm N/m[/tex]

Thus, we can conclude that the required magnitude of force per meter of wire is of 6.601 N/m.

Learn more about the magnetic force here:

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Form hypothesis: Compare the floating objects, then do the same for the sinking objects. A. What do the floating objects have in common

Answers

Answer:

Explanation:

This question is incomplete. However, it should be noted that for an object to float in a liquid, the density of the object must be less dense than the liquid. This causes the weight force of the object to be balanced by the upthrust force of the liquid. Thus, when the object is more dense than the liquid, the object sinks.

One thing the floating objects will have in common is that they are less dense than the liquid in which they are floating.

NOTE that the floating of an object can be dependent on size and shape (which affects the upthrust force) also.

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