A) find the kinematic acceleration:

27.7 N = 17.3N * (9.8m/s² + a) / 9.8m/s²

a = 5.89 m/s²

and now use v = a*t

t = v / a = 330m/s / 5.89m/s² = 56.0 s ◄

B) The thrust must not only provide the kinematic acceleration but must also support the weight as well:

F = m(g + a) = 2.60e4kg * (9.8 + 5.89)m/s² = 4.08e5 N ◄

C) h = ½at² = ♂ * 5.89m/s² * (56.0s)² = 9240 m ◄

OR

h = v² / 2a = (330m/s)² / 2*5.89m/s² = 9240 m

If you find this helpful, please award Best Answer!

# Help with mastering physics problem 5.138: vertical rocket launch with instrument hanging inside at constant acceleration.?

A 2.60×104-kg rocket blasts off vertically from the earth's surface with a constant acceleration. During the motion considered in the problem, assume that g remains constant. Inside the rocket, a 17.3-N instrument hangs from a wire that can support a maximum tension of 27.7 N

Part A

Find the minimum time for this rocket to reach the sound barrier (330m/s) without breaking the inside wire.

Part B

Find the maximum vertical thrust of the rocket engines under these conditions.

Part C

How far is the rocket above the earth's surface when it breaks the sound barrier? .

Part A

Find the minimum time for this rocket to reach the sound barrier (330m/s) without breaking the inside wire.

Part B

Find the maximum vertical thrust of the rocket engines under these conditions.

Part C

How far is the rocket above the earth's surface when it breaks the sound barrier? .

## 1 Answers

### Trending

- Center of Mass Physics Problem?
- What force causes capillary action, high surface tension, and high boiling point in water? Explain?
- How much work, W in joules, did the rider do before reaching the hill?
- Find the linear acceleration of the bicycle. Please help!?
- Why doesn’t water at the bottom of the earth fall off and go into space?
- If 2 drops of water touch is one of the drops of water wet?
- Why does time exist?
- Could I pick up someone that weighs 300 pounds in Earth if I were to be somewhere with 0 gravity?
- What is the thing that goes faster if you are faster?
- A steel ball and equally large styrofoam ball fall at the same time in a vacuum container which first arrives to ground..?