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Chapter 7: 2P (page 170)

If a Saturn V rocket with an Apollo spacecraft attached had a combined mass of 2.9×105kgand reached a speed of 11.2km/s, how much kinetic energy would it then have?

Short Answer

Expert verified

The kinetic energy of a Saturn V rocket with an attached Apollo spacecraft is 1.81×1013J.

Step by step solution

01

Given data

  1. The combined mass of the Saturn V rocket and the spacecraft, m=2.9×105kg.
  2. Speed, v=11.2km/s=11200m/s.
02

Understanding the concept

Using the formula of kinetic energy and fromthegiven mass and speed, we can find the kinetic energy of a Saturn V rocket with an attached Apollo spacecraft.

Formula:

KE=12mv2

03

Calculate the kinetic energy the rocket would have had

The kinetic energy can be calculated using the formula as,

KE=12mv2

Substitute the values in the above formula, and we get,

KE=122.9×105kg11200ms2KE=1.81×1013J

Therefore, the kinetic energy of a Saturn V rocket with an attached Apollo spacecraft is 1.81×1013J.

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