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(a) Suppose the speed of light were only 3000 $\mathrm{m} / \mathrm{s}$ . A jet fighter moving toward a target on the ground at 800 $\mathrm{m} / \mathrm{s}$ shoots bullets, each having a muzzle velocity of 1000 $\mathrm{m} / \mathrm{s}$ . What are the bullets' velocity relative to the target? (b) If thespeed of light was this small, would you observe relativistic effects in everyday life? Discuss.

(a) $u=1653 \mathrm{ms}^{-1}$(b) Yes.

Physics 103

Chapter 28

Special Relativity

Relativity

Cornell University

Hope College

University of Sheffield

University of Winnipeg

Lectures

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Well, the velocity of the jet towards the target is a timber meter or second. So we is equal to musical to 800 leader for a second. And they've lost two of the bullets in the muzzle lease. Ah, you prime is equal to 1000 meter per second. And the speed of light in this case is 3000 meter our second. Well, no. Let's use Einstein's relativistic Lost the edition. You is equal to weep, Lis, you crime divided by want Lis uh, V you prime divided by C square. Well, let's substitute our values. We have you. It's a cool too 800 bless 1000 divided by one place, 800 motive my value 1000 divided by 3000 square. And this gives us 1000 653 meters per second to three meter or second. So you is equal to 1653 meter per second. All right. No, let's to part B. Well, yes, we can see their ladder. Mystic effect in their everyday life of speed of light is at this small. Well, uh, you're like mystic in facts related the stick if fact can be seen can be seen in everyday life in every D life. Why speed of light Is this smoke? If speed of light is speed of light is 3000 meter per second Well, if the velocity of any person or object is 0.1 time to the speed of light, then we can see their ladder. Mystic effect here. The speed of light is in this problem. Speed of light is 3000 made ever for a second. And, uh, well, if the Veloster painted person or object is 0.1 times the speed of light after the lost you the object or person, he is 0.1 time to speed of light. Well, uh, then we have zero point one multiply by Are three parts intend this users 300 meter for second and one can see the relativistic effect.

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