Universe
Universe
11th Edition
ISBN: 9781319039448
Author: Robert Geller, Roger Freedman, William J. Kaufmann
Publisher: W. H. Freeman
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Chapter 24, Problem 16Q

(a)

To determine

The time taken by the blob to move from A to B if the distance from point A to point B in the following figure is 26ly, and the blob moves with a speed, 1315 times the speed of light. During the motion of the blob from A to B, it moves 24ly toward the Earth and 10ly in a side ways, transverse direction.

Universe, Chapter 24, Problem 16Q , additional homework tip  1

Universe, Chapter 24, Problem 16Q , additional homework tip  2

(a)

Expert Solution
Check Mark

Answer to Problem 16Q

Solution:

30 years.

Explanation of Solution

Given data:

Distance between point A and point B is 26ly.

Speed of the blob is 1315c. Here, c is speed of light.

Blob moves toward Earth from point A through a distance 24ly.

Blob moves in a side ways, transverse direction through a distance 10ly.

Formula used:

The expression for the speed of any object is written as,

v=dt

Here, v is the speed of the object, d is the distance and t is the time taken to travel that distance.

Explanation:

Write the expression for the speed of blob.

v=dt

Rearrange this for t.

t=dv

Substitute 26ly for d and 1315c for v.

t=(26ly×9.5×1015m1ly)(1315×3×108m/s)=[(95×107s)×1year60×60×24×365s]=30 years

Conclusion:

Therefore, the time taken by blob to move from A to B is 30 years.

(b)

To determine

The year in which the light from B reaches Earth if the distance from A to point B in the following figure is 26ly and that the blob moves with a speed 1315 times the speed of light. During the motion of blob from A to B, it moves 24ly toward Earth and 10ly in a side ways, transverse direction, whereas the light from the blob at A reaches Earth in 2020.

Universe, Chapter 24, Problem 16Q , additional homework tip  3

(b)

Expert Solution
Check Mark

Answer to Problem 16Q

Solution:

2026.

Explanation of Solution

Introduction:

If any object appears to be moving faster than the speed of light, the motion of that object is called superluminal motion. Some astronomical objects such as quasars, blazars, radio-galaxies show superluminal motion.

Explanation:

It is given that the light from the blob at A reaches Earth in 2020. The distance of the Earth from point B is 24ly less than the distance of the Earth from point A. The first pulse of light from point A reaches Earth in 2020. The second pulse of light is emitted from point B after t=30y. The second pulse has to travel 24ly less distance to reach the Earth. The second pulse reaches the Earth 6 years after the first pulse reaches. So, the second pulse reaches the Earth in 2026.

Conclusion:

Therefore, the year in which the light from B reaches the Earth is 2026.

(c)

To determine

The apparent speed of the the blob moving across the sky as seen from the Earth if the distance from point A to point B in the following figure is 26ly and the blob moves with a speed, 1315 times the speed of light. During the motion of blob from A to B, it moves 24ly toward the Earth and 10ly in a side ways, transverse direction.

Universe, Chapter 24, Problem 16Q , additional homework tip  4

(c)

Expert Solution
Check Mark

Answer to Problem 16Q

Solution:

The speed of the the blob moving across the sky appears to be 1.7 times the speed of light.

Explanation of Solution

Given data:

Distance between two points in the sky is 10ly.

Time taken by light to travel from one point to another is 6y.

Formula used:

The expression for the speed of any object is written as,

v=dt

Here, v is the speed of the object, d is the distance and t is the time taken to travel the distance.

Explanation:

Write the expression for the speed of blob.

v=dt

Substitute 10ly for d and 6y for t.

v=10ly×cy1ly6yv=1.7c

Conclusion:

Therefore, the apparent speed of the the blob is 1.7 times the speed of light.

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