use relativity and show your work 1)6 The half-life of a muon is 2.20 micrometer

Question

use relativity and show your work 1)6 The half-life of a muon is 2.20 micrometers per second as measured in a stationary reference frame. What is the half life of the muon (in micro seconds) when it is moving with a speed of v = 0.800 c? it should be 3.67.

2) 1 A 1 000-kg automobile moving with a speed of 24 m/s collides with a 500-kg car initially at rest. If the two stick together, what is the velocity (in m/s) of the two cars after the collision relative to an automobile moving in the same direction at 15 m/s? it should be 1.

Explanation / Answer

2) by the conservation of momentum we have

m1u1 + m2u2 = (m1 + m2 ) V

V = 1000*24 + 0 / (1000+500)

= 16 m/s

speed relative = 16 -15 = 1m/s

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