(a) Explanation The distance of Alpha Centauri is 4.30 light years from the Earth. The total distance for a round trip is 8.60 light years. Consider the frame of rocket; the age of Mary in rocket frame is total 22 years. Write the expression for distance. L = L 0 1 − β 2 (I) Here, L 0 is the actual distance, L is the distance in rocket frame and B is the time dilation constant. Write the expression for speed of spaceship. v = L T 0 (II) Here, v is the velocity in rocket frame and T 0 is the total time. Write the expression for time dilation constant. β = v c (III) Here, c is the speed of light and β is the time dilation constant. Conclusion: Substitute 8.60 ly for L 0 in equation (I). L = 8 (b) To determine The age of Frank when Mary returns.

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Author: Thornton

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Chapter 2, Problem 97P

(a)

To determine

The speed of Mary’s spaceship.

(b)

To determine

The age of Frank when Mary returns.

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Chapter 2, Problem 96P

Chapter 2, Problem 98P

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The speed of Mary’s spaceship.

Solution Summary: The author compares the speed of Mary's spaceship with the distance of Alpha Centauri.

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