MODIFIED MAST ASTRONOMY:COSMIC PERSPECTI
MODIFIED MAST ASTRONOMY:COSMIC PERSPECTI
9th Edition
ISBN: 9780136904496
Author: Bennett
Publisher: PEARSON
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Chapter 24, Problem 57EAP
To determine

The antimatter required to produce the energy needed by the spaceship.

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I'm having trouble understanding this.   Suppose we have a spaceship about the size of a typical ocean cruise ship today, which means it has a mass of about 130 million kilograms, and we want to accelerate the ship to a speed of 12 % of the speed of light. Suppose you want to generate the energy to get it to cruising speed using matter-antimatter annihilation.   How much antimatter would you need to produce and take on the ship? Express your answer using two significant figures.
If Elon Musk landed on a planet made of antimatter, there would be an explosion and   A. the planet would annihilate (i.e. be converted into energy) B. 
an amount of planet matter equal to that of Elon Musk would annihilate (i.e. be converted into energy) C. Elon Musk would annihilate. D. Elon Musk and an equal amount of the planet would both annihilate.
Cruise Ship Enery. Suppose we have a spaceship about the size of a typical ocean cruise ship today, which means it has a mass of about l00 million kilograms, and we want to accelerate the ship to a speed of 10% of the speed of light. a. How Inuch energy would be required? (Hint; You can find the answer simply by calculating the kinetic energy of the ship when it reaches its cruising speed; because 10% of the speed of light is still small compared to the speed of light, you can use thsi formula kinetic energy = 1/2 x m x v2) b. How does your answer coInpare to total world energy use 5 x 1022 Joules? c. The typical cost of energy today is roughly 5¢ per 1 million joules. At this price, how much would it cost to generate the energy needed by this spaceship?

Chapter 24 Solutions

MODIFIED MAST ASTRONOMY:COSMIC PERSPECTI

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