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Chapter 1: Q54P (page 41)

The first stage of giant Saturn V rocket reached a speed of 2300 m/s at 170 s after lift-off.

(a) What was the average acceleration in m/s/s?

(b) The acceleration of a falling object if air resistance is negligible is 9.8 m/s/s, called “one g”. What was the average acceleration in g’s?

Short Answer

Expert verified

Answer

  1. Average acceleration isaavg=13.53m/s2.
  2. Average acceleration aavg=1.38g.

Step by step solution

01

Identification of given data

The given data listed below as

  • Velocity, v = 2300 m/s
  • Time , t = 170 s
  • Mass of the rocket m = 2.8 ×106kg
02

Average acceleration 

Average acceleration is calculated when there is a change in velocity.

03

 Step 3: Calculation for the average acceleration 

(a)

average The average acceleration of the rocket

aavg=vt

Where, = Velocity at which rocket moving, = Time required

aavg=vtaavg=2300170aavg=13.53m/s2

Hence, the value of average acceleration is =aavg=13.53m/s

04

Calculation for the average acceleration

(b)

As air resistance is negligible.

Then the average acceleration in g will be:

aavg=13.53m/s21g9.8m/s2=1.38g

Hence, the value of average acceleration in therms of g isaavg=1.38g .

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Most popular questions from this chapter

Question: Which of the following statements about the velocity and momentum of an object are correct? (1) The momentum of an object is always in the same direction as its velocity (2) The momentum of an object can be either in the same direction as its velocity or in the opposite direction. (3) The momentum of an object is perpendicular to its velocity. (4) The direction of an object's momentum is not related to the direction of its velocity. (5) The direction of an object's momentum is tangent to its path.

At a certain instant, a ball passes location (7,21,-17)m.In the next 3s,the ball’s average velocity is(-11,42,-11)m/s. At the end of this 3s time interval, what is the height y of the ball?

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In Figure 1.59, the vector r→1points to the location of object 1 and r→2points to the location of object 2 . Both vectors lie in the xyplane. (a) Calculate the position of object 2 relative to object 1 , as a relative position vector. (b) Calculate the position of object 1 relative to object 2 , as a relative position vector.
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