(a) Explanation Write the expression for gravitational force. F → = G m 1 m 2 | r → | 2 r ^ (I) Here, m 1 , m 2 are the masses, G is the gravitational constant, r ^ is the unit vector along the direction of r → , and r is the distance between the masses. Use r → | r → | for r ^ in the equation (I). F → = G m 1 m 2 | r → | 2 r → | r → | = G m 1 m 2 | r → | 3 r → (II) Conclusion: The distance between the space craft and asteroid can be calculated as follows, r → = 〈 9 × 10 5 , − 3 × 10 5 , − 12 × 10 5 〉 m − 〈 3 × 10 5 , 7 × 10 5 , − 4 × 10 5 〉 m = 〈 6 × 10 5 , − 10 × 10 5 , − 8 × 10 5 〉 m Then the magnitude of r can be calculated as follows, | r → | = ( 6 × 10 5 m ) 2 + ( − 10 × 10 5 m ) 2 + ( − 8 × 10 5 m ) 2 = 1 (b) To determine The change in momentum.

4th Edition

ISBN: 9781119462033

Author: CHABAY

Publisher: WILEY

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Question

Chapter 3, Problem 27P

(a)

To determine

The force acting on the spacecraft.

(b)

To determine

The change in momentum.

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Chapter 3, Problem 26P

Chapter 3, Problem 28P

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Chapter 3 Solutions

MATTER+INTERACTIONS,V 2 (LL)

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