Problem 29.12 Part A The Pi Meson An elementary particle called a pi meson (or p

Question

Problem 29.12 Part A The Pi Meson An elementary particle called a pi meson (or pion for short) has an average lifetime of 2.6 × 10-8 s when at rest. If a pion moves with a speed of 0.98 crelative to Earth, find the average lifetime of the pion as measured by an observer on Earth. Express your answer using two significant figures. Submit My Answers Give Up Part B Find the average distance traveled by the pion as measured by the same observer Express your answer using two significant figures. In Submit My Answers Give Up Part C Find how far would the pion have traveled relative to Earth if relativistic time dilation did not occur. Express your answer using two significant figures. IIn Submit My Answers Give Up

Explanation / Answer

Given , average lifetime = 2.6*10^-8 s , speed (v) = 0.98c

Part A) using the time dilation formula,

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

t = 2.6 X 10-8/(1 - .982 )

t = 13.06 X 10-8 sec

Part B)

d = vt

d = (.98)(3 X 108)(13.06 X 10-8)

d = 38.4 m

Part C)

d = vt

d = (.98)(3 X 108)(2.6 X 10-8)

d = 7.644 m

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

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