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
frozen [14]
3 years ago
15

A rocket is fired straight up. It contains two stages (Stage 1 and Stage 2) of solid rocket fuel that are designed to burn for 1

0.0 and 5.00 s, respectively, with no time interval between them. In Stage 1, the rocket fuel provides an upward acceleration of 16.0 m/s^2. In Stage 2, the acceleration is 11.0 m/s2. Neglecting air resistance, calculate the maximum altitude above the surface of Earth of the payload and the time required for it to return to the surface. Assume the acceleration due to gravity is constant.a. Calculate the maximum altitude. (Express your answer to two significant figures.)b. Calculate time required to return to the surface (i.e. the total time of flight). (Express your answer to three significant figures.)
Physics
1 answer:
Archy [21]3 years ago
3 0

Answer:

a)  y= 3.5 10³ m, b)   t = 64 s

Explanation:

a) For this exercise we use the vertical launch kinematics equation

Stage 1

          y₁ = y₀ + v₀ t + ½ a t²

          y₁ = 0 + 0 + ½ a₁ t²

Let's calculate

         y₁ = ½ 16 10²

         y₁ = 800 m

At the end of this stage it has a speed

        v₁ = vo + a₁ t₁

        v₁ = 0 + 16 10

        v₁ = 160 m / s

Stage 2

        y₂ = y₁ + v₁ (t-t₀) + ½ a₂ (t-t₀)²

        y₂ = 800 + 150 5 + ½ 11 5²

        y₂ = 1092.5 m

Speed ​​is

        v₂ = v₁ + a₂ t

        v₂ = 160 + 11 5

        v₂ = 215 m / s

The rocket continues to follow until the speed reaches zero (v₃ = 0)

         v₃² = v₂² - 2 g y₃

         0 = v₂² - 2g y₃

         y₃ = v₂² / 2g

         y₃ = 215²/2 9.8

         y₃ = 2358.4 m

The total height is

          y = y₃ + y₂

          y = 2358.4 + 1092.5

          y = 3450.9 m

           y= 3.5 10³ m

b) Flight time is the time to go up plus the time to go down

Let's look for the time of stage 3

          v₃ = v₂ - g t₃

          v₃ = 0

          t₃ = v₂ / g

          t₃ = 215 / 9.8

          t₃ = 21.94 s

The time to climb is

          t_{s} = t₁ + t₂ + t₃

          t_{s} = 10+ 5+ 21.94

          t_{s} = 36.94 s

The time to descend from the maximum height is

          y = v₀ t - ½ g t²

When it starts to slow down it's zero

         y = - ½ g t_{b}²

         t_{b}  = √-2y / g

         

        t_{b} = √(- 2 (-3450.9) /9.8)

        t_{b} = 26.54 s

Flight time is the rise time plus the descent date

        t = t_{s} + t_{b}

        t = 36.94 + 26.54

        t =63.84 s

        t = 64 s

You might be interested in
Which TWO statements about the substances in the experiment are true?
nataly862011 [7]

Answer:

A and B are correct both are correct

4 0
3 years ago
Read 2 more answers
An electric field of 3x10^16 n/c is needed to create a spark in the air. If the charged particles in the field are separated by
meriva
The answer of this problem is positive 3
6 0
3 years ago
A rat runs 2m right, turns around and runs 3m left. Then goes 2m right. What is its displacement?
geniusboy [140]

Answer:

Explanation:

I think this answer would be 1m to the left.

7 0
2 years ago
An apple with a mass of 0.95 kilograms hangs from a tree branch 3.0 meters above the ground. If it falls to the ground, what is
lubasha [3.4K]
Ke = pe
pe = mgh
= 0.95 x 9.8 x 3
= 27.93 J
6 0
3 years ago
Read 2 more answers
Q1. Helmut rides 5km in 2h on his bike. His speed was *
baherus [9]

Answer:

Speed of bike = 2.5 km/h

Distance travel = 1,000 km (Approx.)

Explanation:

Given:

Distance cover by Helmut = 5 km

Time taken = 2 hour

Find:

Speed of bike

Computation:

Speed = Distance / Time

Speed of bike = 5 / 2

Speed of bike = 2.5 km/h

Given:

Speed of plane = 250 km/h

time taken = 3 hr 58 min = 3.967 hr

Find:

Distance travel

Computation:

Distance = Speed x time

Distance travel = 250 x 3.967

Distance travel = 991.669

Distance travel = 1,000 km (Approx.)

8 0
2 years ago
Other questions:
  • What happens when a person’s immune system is very weak?
    10·1 answer
  • A block is attached to a spring, with spring constant k, which is attached to a wall. It is initially moved to the left a distan
    12·1 answer
  • ___________ force can be thought of as either a push or a pull, as long as it makes the object move in a circular path.
    15·2 answers
  • Select all of the answers that apply. The greenhouse effect is very important to daily life on earth. Which of the following are
    6·2 answers
  • What is the velocity of a 50kg skater if her momentum is 225kg. m/s?
    5·2 answers
  • What energy transformation occurs during the combustion of coal in a power plant?
    7·2 answers
  • Use the conservation of energy to explain the speeds at different places in the diagram of the roller coaster.
    9·1 answer
  • Select the correct answer.
    13·2 answers
  • What is the force exerted on a charge of 2. 5 µC moving perpendicular through a magnetic field of 3. 0 × 102 T with a velocity o
    5·1 answer
  • The output signal from an analogue Internet of Things (IoT) sensor is sampled every 235 µs to convert it into a digital represen
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!