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
iren [92.7K]
3 years ago
15

A rocket accelerates by burning its onboard fuel, so its mass decreases with time. Suppose the initial mass of the rocket at lif

toff (including its fuel) is m, the fuel is consumed at rate r, and the exhaust gases are ejected with constant velocity ve (relative to the rocket). A model for the velocity of the rocket at time t is given by the equation:
v(t)=−gt−velnm−rtm


Where g is the acceleration due to gravity and t is not too large?If g=9.8m/s2, m=29,000kg, r=170kg/s, and ve=2,900m/s.

What would the height of the rocket be one minute after liftoff?
Physics
1 answer:
Serggg [28]3 years ago
4 0

Answer:

Height of the rocket be one minute after liftoff is 40.1382 km.

Explanation:

v(t)=-gt-v_e\times \ln \frac{m-rt}{m}

v = velocity of rocket at time t

g = Acceleration due to gravity =9.8 m/s^2

v_e = Constant velocity relative to the rocket = 2,900m/s.

m = Initial mass of the rocket at liftoff = 29000 kg

r = Rate at which fuel is consumed = 170 kg/s

Velocity of the rocket after 1 minute of the liftoff =v

t = 1 minute = 60 seconds'

Substituting all the given values in in the given equation:

v(60)=-9.8 m/s^2\times 60 s-2,900m/s\times \ln (\frac{29,000 kg-170 kg/s\times 60 s}{2,9000 kg})

v(60) = 668.97 m/s

Height of the rocket = h

Velocity=\frac{Displacement}{time}

668.97 m/s=\frac{h}{60 s}

h=668.97 m/s\times 60 s=40,138.2 m = 40.1382 km

Height of the rocket be one minute after liftoff is 40.1382 km.

You might be interested in
A woman in a sprint race accelerates from rest to 8.7 m/s in 2.7 s. What is her displacement?​
Trava [24]

Answer:

23.49m

Explanation:

Distance =  velocity x time

8.7 x 2.7 = 23.49m

8 0
2 years ago
Pls helpppppp i’ll give brainliest
Tema [17]

Answer:

D

Explanation:

The answer is Niels Bohr's planetary model, the difference between this model and all of the other models is that the Bohr's PM Is more of layers of

Nucleus - Protons and Neutrons

Electron Orbital - Period 1 Elements

2 electrons

Electron Orbital - Period 2 Elements

8 electrons

Electron Orbital - Period 3 Elements

8 electrons

If that made sense-

3 0
2 years ago
Read 2 more answers
Diferencie energia cinética de energia potencial gravitacional.
Vikentia [17]

Answer:

Featured snippet from the web

The atoms and molecules in it are in constant motion. The kinetic energy of such a body is the measure of its temperature. Potential energy is classified depending on the applicable restoring force. Gravitational potential energy – potential energy of an object which is associated with gravitational force

4 0
3 years ago
Amy crashed her bike into the fence. She was thrown over it onto the lawn. Which Newton law applies
BlackZzzverrR [31]

Answer:

Newton's First Law of Motion applies here.

Explanation:

Before crashing into the fence, Amy was moving at a certain speed on her bike. As, she crashed her bike into the fence, the collision stopped the bike suddenly. But, Amy had the same speed due to inertia of her body. Due tot  his speed Amy did not stop and she was thrown over the fence onto the lawn. So, the force of inertia of Amy's body caused her to be overthrown in this case. We study about inertia in Newton's First Law of Motion, which is also known as Law of Inertia.

<u>Newton's First Law of Motion applies here.</u>

7 0
2 years ago
What is the internal energy of a system including the kinetic and potential energy of its particles?
Gekata [30.6K]

Internal energy of a system is the product of specific heat and temperature included with number of moles. (i=nCT) and kinetic energy is product of Boltzmann constant and temperature.

  • All systems have a certain amount of energy that can be converted into other energy to do work. The kinetic energy within the molecules and atoms that make up the body and the energy generated by the intermolecular forces between them are collectively called internal energy.
  • In other words, the energy hidden in the system that can appear under different conditions can be called the internal energy of the system.

Internal energy is the sum of two energies:

(a) Thermal energy, which is the kinetic energy of molecules in random motion, and

(b) Potential energy of atoms.

  • Potential atomic energy arises from the atomic forces acting between the atoms of molecules and the intermolecular forces between molecules.
  • Total internal energy, E = kinetic energy (K.E.) + potential energy (P.E.).
  • The state function describes the equilibrium state of the system, as well as the system itself.
  • It is called the state function because the internal energy U is defined by the quantity that determines the state of the system at equilibrium. It is completely determined by the initial and final state of the system.
  • As the temperature of the system increases, the molecules move faster, resulting in an increase in kinetic energy and an increase in internal energy.

To learn more about Internal energy -

<u>brainly.com/question/11623849</u>

#SPJ4

8 0
1 year ago
Other questions:
  • Draw a free-body diagram for the ear of a person properly wearing a mask. You may wish to refer to the figure
    13·1 answer
  • A person is using a rope to lower a 5.0-n bucket into a well with a constant speed of 2.0 m/s. What is the magnitude of the forc
    6·2 answers
  • Helpppppp pleaseeeeee
    9·1 answer
  • The rate of spin of a disk is decreasing. A point on the disk that is near the rim of the disk will have...
    15·1 answer
  • Air at 25°C and 5 atm is throttled by a valve to 1 atm. If the valve is adiabatic and the change in kinetic energy is negligible
    13·1 answer
  • how can changing the kinetic energy of an object cause energy to be transferred to or from the object
    9·1 answer
  • Do this work if someone give correct answer I make her brainliest do this worksheet please
    9·1 answer
  • *<br> Check all of the things that can affect power<br><br> Time<br> Work<br> Distance<br> Force
    10·1 answer
  • A major league baseball has a mass of 0.145 kg.
    9·1 answer
  • What is a therapuetic modality in psychology?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!