A) Suppose for this problem that c= 62.2 m/s. A fire engine drives by you and...

A) Suppose for this problem that c= 62.2 m/s. A fire engine drives by you and you measure its length to be 11.3 m. While parked at the fire station, its length is known to be 13.5 m. How fast is the truck moving?

B) A spaceship approaches the planet Mars and launches a landing vehicle toward the planet. An observer on Mars measures the speed of the spaceship to be 0.262c. An observer on the landing vehicle measures the speed of the spaceship to be 0.557c (from this observer's perspective, the spaceship appears to be moving away from Mars). What is the speed of the landing vehicle measured by an observer on Mars?

Solutions

Expert Solution

According to Lorentz contraction formula

B)This part will utilise Einstein's velocity addition relationship.

Consider 3 elements. A stationary observed at the surface of Mars 'A'. Moving observer on the spaceship as 'B' and the projectile fired by B as 'C'.

Let, u = velocity of projectile as seen by A

v = velocity of the moving observer 'B' as seen by A = 0.262c

u' = velocity of projectile 'C' as seen by B = 0.557c

A sees B moving with velocity v, then velocity measured by B(u') as seen by A is:

genius_generous answered 1 year ago

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