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
Leokris [45]
3 years ago
9

A 200 kg weather rocket is loaded with 100 kg of fuel and fired straight up. It accelerates upward at 30 m/s2 for 35 s , then ru

ns out of fuel. Ignore any air resistance effects.
a. What is the rocket's maximum altitude?
b. How long is the rocket in the air?
c. Draw a velocity-versus-time graph for the rocket from liftoff until it hits the ground.

Physics
1 answer:
Gre4nikov [31]3 years ago
4 0

Answer:

a) h_m=74625\ m

b) t=265.55\ s

Explanation:

Given:

  • mass of rocket, m_r=200\ kg
  • mass of fuel, m_f=100\ kg
  • acceleration of the rocket consuming fuel, a=30\ m.s^{-2}
  • time after which the fuel exhaust, t_f=35\ s

<u>During the phase of fuel exhaustion:</u>

<u>velocity attained by the rocket just as the fuel ends:</u>

v_f=u+a.t_f

where:

u= initial velocity of the rocket = 0

v_f=0+30\times 35

v_f=1050\ m.s^{-1} this will be the initial velocity for the phase of ascending of the rocket's height under the influence of gravity.

<u>height at which the fuel finishes:</u>

v_f^2=u^2+2a.h_f

1050^2=0^2+2\times 30\times h_f

h_f=18375\ m

<u>During the phase of ascend in height of rocket after the fuel is over:</u>

<u>Time taken to reach the top height after the fuel is over:</u>

v=v_f+g.t'

at top v = (final velocity during this course of motion )= 0 m.s^{-1}

0=1050-9.8\times t'

t'=107.1429\ s

<u>Height ascended by the rocket after the fuel is over:</u>

v^2=v_f^2+2g.h'

at the top height the velocity is zero

0^2=1050^2-2\times 9.8\times h' (-ve sign denotes that the direction of motion is opposite to that of acceleration)

h'=56250\ m

<u>Therefore the maximum altitude attained by the rocket:</u>

h_m=h_f+h'

h_m=18375+56250

h_m=74625\ m

b)

time taken by the rocket to fall back to the earth:

h_m=v.t_m+\frac{1}{2} g.t_m^2

where:

v= initial velocity of the rocket during the course of free fall from the top height.

74625=0+4.9\times t_m^2

t_m=123.41\ s

Now the total time for which the rocket is in the air:

t=t_f+t'+t_m

t=35+107.1429+123.41

t=265.55\ s

You might be interested in
V
Darina [25.2K]
Resolving vectors question. See diagram enclosed.

4 0
3 years ago
PLZ SOMEONEE HELPP I’LL MARK BRANLIESTTTT
7nadin3 [17]

Answer:

I'm pretty sure it's 37.5 joules of energy

Explanation:

hope this helps!

8 0
3 years ago
A train travels 8.81 m/s in a -51.0° direction.
Amiraneli [1.4K]

The displacement of the train after 2.23 seconds is 25.4 m.

<h3>Resultant velocity of the train</h3>

The resultant velocity of the train is calculated as follows;

R² = vi² + vf² - 2vivf cos(θ)

where;

  • θ is the angle between the velocity = (90 - 51) + 37 = 76⁰

R² = 8.81² + 9.66² - 2(8.81 x 9.66) cos(76)

R² = 129.75

R = √129.75

R = 11.39 m/s

<h3>Displacement of the train</h3>

Δx = vt

Δx = 11.39 m/s x 2.23 s

Δx = 25.4 m

Thus, the displacement of the train after 2.23 seconds is 25.4 m.

Learn more about displacement here: brainly.com/question/2109763

#SPJ1

8 0
1 year ago
HELP WILL MARK BRAINLIEST!!
kherson [118]

Answer:15

Explanation:

8 0
3 years ago
Explain why the "X" chromosome expresses more traits than the "y" chromosome.
wel

Explanation:

The X chromosome (females have 2 of them while males have 1) is five times larger than the Y chromosome and has 10 times the number of genes.

5 0
3 years ago
Other questions:
  • Describe Newton's First Law of motion. Provide an example to support your explanation. (4 points
    15·2 answers
  • What is the force on a body of mass 20 kg moving with an acceleration of 3 m/s2 ?
    13·2 answers
  • How much current is flowing in a wire 4.40 mm long if the maximum force on it is 0.575 NN when placed in a uniform 0.0550-TT fie
    14·1 answer
  • 2. According to research, what is the most reliable form of identifying potentially effective reinforcers?
    8·1 answer
  • A force does 210 J of work when it acts on a moving object and its direction is in the same direction as the object’s displaceme
    14·1 answer
  • With no difference in temperatures and 100% humidity, will it rain?
    9·1 answer
  • A car is traveling to the right with a speed of 29m/s ​ when the rider slams on the accelerator to pass another car. The car pas
    11·1 answer
  • What is the momentum of an object with mass 8 kg and velocity 5 m/s
    6·1 answer
  • What is the kinetic energy of a 24-kg mass that is moving with a velocity of 2 m/s?
    8·2 answers
  • Which statement is true? A) Cells come in different shapes, but are all about the same size—very, very small. B) Cells come in di
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!