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
sammy [17]
3 years ago
12

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

ns out of fuel. Ignore any air resistance effects. How long is the rocket in the air before hitting the ground?
Physics
1 answer:
r-ruslan [8.4K]3 years ago
6 0

Answer:

T = 295.57 s

Explanation:

given,

mass of the rocket = 200 Kg

mass of the fuel = 100 Kg

acceleration = 35 m/s²

time, t = 35 s

time taken by the rocket to hit the ground, = ?

Final speed of the rocket when fuel is empty

using equation of motion

v = u + a t

v = 0 + 35 x 35

v = 1225 m/s

height of the rocket where fuel is empty

v² = u² + 2 a s

1225² = 0 + 2 x 35 x h₁

h₁ = 21437.5 m

After 35 s the rocket will be moving upward till the final velocity becomes zero.

Now, using equation of motion to find the height after 35 s

v² = u² + 2 g h₂

0² = 1225² + 2 x (-9.8) h₂

h₂ = 76562.5 m

total height = h₁ + h₂

          = 76562.5 m + 21437.5 m = 98000 m

now, time taken by before the rocket hit the ground

using equation of motion

s = u t +\dfrac{1}{2}at^2

-13500 = 1225 t -\dfrac{1}{2}\times 9.8 \times t^2

negative sign is used because the distance travel by the rocket is downward.

4.9 t² - 1225 t - 13500 = 0

t = \dfrac{-(-1225)\pm \sqrt{1225^2 - 4\times 4.9 \times (-13500)}}{2\times 4.9}

t = 260.57 s

neglecting the negative sign

total time the rocket was in air

T = t₁ + t₂

T = 35 + 260.57

T = 295.57 s

Time for which rocket was in air is equal to 295.57 s.

You might be interested in
A ______________ is very general in nature, while a ________________ specifies what we want to study more specifically, suggesti
vova2212 [387]

Answer:

research topic and research question (hypothesis)

Explanation:

6 0
3 years ago
What is the nucleation mechanisms in which nuclei of the solid phase form in the interior of the liquid as atoms cluster togethe
pshichka [43]
I  think its q because i suck on toes 


8 0
3 years ago
What is the force of gravity for a 12 kg turkey?<br><br> Please help asap
pogonyaev

Answer: 117.6N

Explanation:

By the second Newton's law, we know that:

F = m*a

F = force

m = mass

a = acceleration

We know that in the surface of the Earth, the gravitational acceleration is g = 9.8m/s^2.

Then we just can input that acceleration in the above equation, and also replace m by 12kg, and find that the force due the gravity is:

F = 12kg*9.8m/s^2 = 117.6N

7 0
3 years ago
A mover brings a box up the stairs in 10 seconds. If he applied a force of 20 N over a distance 10 m on the box, calculate the p
Softa [21]

Answer:

20 Watts

Explanation:

Work = force × distance

W = (20 N) (10 m)

W = 200 Joules

Power = work / time

P = 200 J / 10 s

P = 20 Watts

8 0
3 years ago
If a proton were released in the electric field above, what direction would it move?
Afina-wow [57]

Answer:

d because the proton would move towards the negative plate

Explanation:

5 0
3 years ago
Other questions:
  • Why is it expensive to bring electricity into urban areas?
    15·2 answers
  • A very powerful vacuum cleaner which has a hose of circular cross section can lift a brick of mass 12 kg when the hose is placed
    9·1 answer
  • A 0.65 kg rock is projected from the edge of
    13·1 answer
  • 6. A snowball that will be used to build a snowman is at the top of the only hill in town and weighs 22
    8·1 answer
  • What is the enthalpy change (in kJ) of a chemical reaction that raises the temperature of 250.0 mL of solution having a density
    8·1 answer
  • the police department determined that the force required to drag a 130 N(29 lb) car tire across the pavement at a constant veloc
    8·1 answer
  • The average energy per unit time per unit area that reaches the upper atmosphere of the Earth from the Sun, called the solar con
    6·1 answer
  • You have a working electrical parallel circuit with three light bulbs, then 1 bulb burns
    15·1 answer
  • PLEASE HELP!!!!!!!!! 30 POINTS
    15·1 answer
  • Swinging a golf club toward a golf<br> ball and hitting it off the tee.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!