Question

Неподвижная ракета на земле имела длину L=300 м. При скорости ракеты длина будет равна

Answer 1

L=L0*sqrt(1-V^2/c^2)=300*sqrt(1-4*10^16/9*10^16)=223,7 м

Answer 2

Calculation of Rocket Length at Speed

To calculate the length of a rocket at a certain speed, we can use the formula for length contraction in special relativity. According to special relativity, the length of an object moving at a high speed relative to an observer will appear contracted in the direction of motion. The formula for length contraction is given by:

L' = L * sqrt(1 - (v^2/c^2))

Where: - L' = length of the rocket as observed by a stationary observer - L = proper length of the rocket (given as 300 m) - v = velocity of the rocket - c = speed of light in a vacuum (approximately 3.00 x 10^8 m/s)

Using this formula, we can calculate the length of the rocket at a certain speed.

Calculation

Let's assume the rocket is moving at a speed of v = 0.8c, where c is the speed of light.

Plugging the values into the formula: L' = 300 * sqrt(1 - (0.8^2))

L' = 300 * sqrt(1 - 0.64)

L' = 300 * sqrt(0.36)

L' = 300 * 0.6

L' = 180 meters

So, at a speed of 0.8 times the speed of light, the length of the rocket would appear to be 180 meters to a stationary observer.

This calculation is based on the principles of special relativity and the formula for length contraction