1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Mkey [24]
3 years ago
10

A rocket in deep space has an empty mass of 150 kg and exhausts the hot gases of burned fuel at 2500 m/s. It is loaded with 600

kg of fuel, which it burns in 30 s. What is the rocket’s speed 10 s, 20 s, and 30 s after launch?
Physics
1 answer:
3241004551 [841]3 years ago
7 0

Answer:

v(10\,s) \approx 775.387\,\frac{m}{s}

v(20\,s)\approx 1905.350\,\frac{m}{s}

v(30\,s) \approx 4023.595\,\frac{m}{s}

Explanation:

The speed of the rocket is given the Tsiolkovsky's differential equation, whose solution is:

v (t) = v_{o} - v_{ex}\cdot \ln \frac{m}{m_{o}}

Where:

v_{o} - Initial speed of the rocket, in m/s.

v_{ex} - Exhaust gas speed, in m/s.

m_{o} - Initial total mass of the rocket, in kg.

m - Current total mass of the rocket, in kg.

Let assume that fuel is burned linearly. So that,

m(t) = m_{o} + r\cdot t

The initial total mass of the rocket is:

m_{o} = 750\,kg

The fuel consumption rate is:

r = -\frac{600\,kg}{30\,s}

r = -20\,\frac{kg}{s}

The function for the current total mass of the rocket is:

m(t) = 750\,kg - (20\,\frac{kg}{s} )\cdot t

The speed function of the rocket is:

v(t) = - 2500\,\frac{m}{s}\cdot \ln \frac{750\,kg -(20\,\frac{kg}{s} )\cdot t}{750\,kg}

The speed of the rocket at given instants are:

v(10\,s) \approx 775.387\,\frac{m}{s}

v(20\,s)\approx 1905.350\,\frac{m}{s}

v(30\,s) \approx 4023.595\,\frac{m}{s}

You might be interested in
What acceleration does the force of earth's gravity peoduce
maksim [4K]
Near Earth's surface, gravitational acceleration is approximately 9.81 m/s2, which means that, ignoring the effects of air resistance, the speed of an object falling freely will increase by about 9.81 metres per second every second.
8 0
3 years ago
A length of wire is cut into five equal pieces. if each piece has a resistance of 0.45 ω, what was the resistance of the origina
azamat
Calculation, add them. 0.85 x 5 = 4.25 Ω
5 0
3 years ago
A tire measures 20 inches in diameter. How many revolutions will the tire have completed when it has traveled 100 yards? Express
Soloha48 [4]
<h2>Number of revolutions required to travel 100 yards is 57.</h2>

Explanation:

Diameter of tire,D = 20 inches

Perimeter of tire = πD

Perimeter of tire = π x 20 = 62.8 inches

Distance traveled = 100 yards

1 yard = 36 inches

Distance traveled = 100 x 36 = 3600 inches

In one revolution it travels 62.8 inches.

\texttt{No of revolutions = }\frac{3600}{62.8}\\\\\texttt{No of revolutions = }57.32\\\\\texttt{No of revolutions = }57

Number of revolutions required to travel 100 yards is 57.

8 0
3 years ago
Answer all these questions
Kazeer [188]

Answer:

mechanical waves,

.

the quality of a sound governed by the rate of vibrations producing it; the degree of highness or lowness of a tone.

.

If the amplitude increases the volume increases and vice versa.

.

The type of medium affects a sound wave as sound travels with the help of the vibration in particles.

.

The higher the frequency, the shorter the wavelength.

Explanation:

5 0
3 years ago
Read 2 more answers
For two objects with masses 100 kg and 500 kg to be 20 meters apart , find the gravity between them
Vikki [24]

Answer:

8,3375*10^-9 N

Explanation:

4 0
3 years ago
Other questions:
  • There are many risks associated with nuclear power. Which is NOT a risk associated with nuclear power?
    14·2 answers
  • A 330 μf capacitor is connected in series with a 120 ohm resistor. what is the time constant for the circuit?
    14·1 answer
  • Is wind electrically charged
    13·1 answer
  • Shows a few energy levels of the mercury atom. one valence electron is always in the 6s state; the other electron changes states
    8·1 answer
  • A 2kg object travels to the right at 5.5 m/s after colliding with a 3kg object, initially at rest, what are the speeds of each o
    5·1 answer
  • A 5000-km long cable consists of seven copper wires, each of diameter 0.85 mm, bundled together and surrounded by an insulating
    10·1 answer
  • If the net force on a 75-N object is 375 N from the left, in what direction will the object move?
    7·2 answers
  • termine the values of mm and nn when the following mass of the Earth is written in scientific notation: 5,970,000,000,000,000,00
    6·1 answer
  • 4. A steel cable spanning a river is 220.000 m long when the temperature is 30.°C.
    9·1 answer
  • When using a physical balance on what pan we place the object and why​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!