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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 鈥渙ne g鈥�. What was the average acceleration in g鈥檚?

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 脳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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