A rocket ship is 74.0 m in length when measured before leaving the launching pad. What would its velocity be if a ground observer measured its length as 60.0 m while it is in flight? (c = 3.00 * 10⁸ m/s) A) 1.76 * 10⁸ m/s B) 0.980 * 10⁸ m/s C) 1.98 *10⁸ m/s D) 1.15 * 10⁸ m/s

Question

Quizplus · Accepted Answer

The correct answer is A because the length contraction formula is: L = L0 / sqrt(1 - v^2/c^2), where L is the length measured by an observer in motion, L0 is the length measured by an observer at rest, v is the velocity of the object, and c is the speed of light. Plugging in the given values, we get: 60.0 m = 74.0 m / sqrt(1 - v^2/c^2). Solving for v, we get: v = 1.76 F1F1F1S1F1F1F10 10^8 m/s.

A Rocket Ship Is 74