Question

Тело движется со скоростью V=0,3c Масса покоя =2 кг Длина покоя = 3 и Найти длину при движении

Answer 1

Из преобразований Лоренца:
L= L0*√(1-V²/C²)
L= 3*√1- 0.09 = 2.86 m

Answer 2

Calculation of Length in Motion

To calculate the length of an object in motion, we need to consider the concept of length contraction, which is a consequence of special relativity. According to special relativity, when an object moves at a significant fraction of the speed of light, its length appears shorter in the direction of motion as observed by an observer at rest relative to the object.

In this case, the body is moving with a velocity of V = 0.3c (where c is the speed of light) and has a rest mass of 2 kg and a rest length of 3 (unit not specified).

To find the length of the object in motion, we can use the formula for length contraction:

Length in motion = Rest length / Lorentz factor

The Lorentz factor (γ) is given by:

γ = 1 / sqrt(1 - (V^2 / c^2))

Let's calculate the length in motion using the given values:

Rest length (l) = 3

Velocity (V) = 0.3c

Speed of light (c) = 299,792,458 m/s

Lorentz factor (γ) = 1 / sqrt(1 - (0.3^2 / 1^2))

Calculating the Lorentz factor:

γ = 1 / sqrt(1 - 0.09) = 1 / sqrt(0.91) ≈ 1.0528

Now, we can calculate the length in motion:

Length in motion = Rest length / Lorentz factor = 3 / 1.0528 ≈ 2.847

Therefore, the length of the object in motion is approximately 2.847 (unit not specified).

Please note that the unit of length was not specified in the question, so the result is given as a numerical value without a specific unit.