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bearhunter [10]
3 years ago
10

A train whose proper length is 1200 m passes at a high speed through a station whose platform measures 900 m, and the station ma

ster observes that when the train passes it occupies exactly the entire length of the platform. What is the speed of the train?
Physics
1 answer:
TiliK225 [7]3 years ago
6 0

Answer:

0.66c

Explanation:

Use length contraction equation:

L = L₀ √(1 − (v²/c²))

where L is the contracted length,

L₀ is the length at 0 velocity,

v is the velocity,

and c is the speed of light.

900 = 1200 √(1 − (v²/c²))

3/4 = √(1 − (v²/c²))

9/16 = 1 − (v²/c²)

v²/c² = 7/16

v = ¼√7 c

v ≈ 0.66 c

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