(a) What would the observer in the laboratory measure for the particle\'s lifeti

Question

(a) What would the observer in the laboratory measure for the particle's lifetime?
_____ s

Imagine that there was a hypothetical observer traveling on the particle.
(b) What would the observer on the particle measure for the particle's lifetime?
_____ s
(c) What would the observer on the particle measure for the distance traveled?
_____ m

Please be as detailed as possible in your response, thank you!

An unstable high-energy particle was created in the laboratory, and moved at a speed of 0.996c. Relative to a fixed location in the laboratory, the particle traveled a distance of 1.19 x 10^-3 m before disintegrating. (a) What would the observer in the laboratory measure for the particle's lifetime? _____ s Imagine that there was a hypothetical observer traveling on the particle. (b) What would the observer on the particle measure for the particle's lifetime? _____ s (c) What would the observer on the particle measure for the distance traveled? _____ m Please be as detailed as possible in your response, thank you!

Explanation / Answer

Part A)

Apply d = vt

(1.19 X 10-3) = (.996)(3 X 108)(t)

t = 3.98 X 10-12 sec

Part B)

For time dilation...

t = t'/sqrt(1 - v2/c2)

t = (3.98 X 10-12)/sqrt(1 - .9962)

t = 4.46 X 10-11 s

Part C)

d = vt

d = (.996)(3 X 108)(4.46 X 10-11)

d = .0133 m (1.33 X 10-2 m)

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.