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

Average acceleration is $a_{a v g} = 13.53 m / s^{2}$ .
Average acceleration $a_{a v g} = 1.38 g$ .

Step by step solution

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 $\times 10^{6} k g$

Average acceleration

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

Step 3: Calculation for the average acceleration

(a)

average The average acceleration of the rocket

$a_{a v g} = \frac{v}{t}$

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

$a_{a v g} = \frac{v}{t} a_{a v g} = \frac{2300}{170} a_{a v g} = 13.53 m / s^{2}$

Hence, the value of average acceleration is = $a_{a v g} = 13.53 m / s$

Calculation for the average acceleration

(b)

As air resistance is negligible.

Then the average acceleration in g will be:

$a_{a v g} = 13.53 m / s^{2} \frac{1 g}{9.8 m / s^{2}} = 1.38 g$

Hence, the value of average acceleration in therms of g is $a_{a v g} = 1.38 g$ .

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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

Step by step solution

Identification of given data

Average acceleration

Step 3: Calculation for the average acceleration

Calculation for the average acceleration

One App. One Place for Learning.

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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

Step by step solution

Identification of given data

Average acceleration

Step 3: Calculation for the average acceleration

Calculation for the average acceleration

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Space Physics

Electromagnetism

Electricity and Magnetism

Translational Dynamics

Astrophysics

Engineering Physics

Study anywhere. Anytime. Across all devices.

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?