A box at rest has the shape of a cube 3.5 m on a side. This box is loaded onto the flat floor of a spaceship and the spaceship then flies pa

Question

A box at rest has the shape of a cube 3.5 m on a side. This box is loaded onto the flat floor of a spaceship and the spaceship then flies past us with a horizontal speed of 0.80 c. What is the volume of the box as we observe it? Express your answer to two significant figures and include the appropriate units.

in progress 0
Hưng Khoa 2 weeks 2021-07-19T22:46:05+00:00 1 Answers 5 views 0

Answers ( )

    0
    2021-07-19T22:47:14+00:00

    Answer:

    V_o=25.725\ m^3

    Explanation:

    Given:

    sides of the cube, a=3.5\ m

    speed of the cube with respect to the observer, v=0.8c

    Since the relative velocity of the object is relativistic, so there will be a length contraction according to the observer:

    a_o=a\div\frac{1}{\sqrt{1-\frac{v^2}{c^2} } }

    where:

    a_o= observed length of the side along the direction of velocity

    a_o=3.5\div\frac{1}{\sqrt{1-\frac{(0.8c)^2}{c^2} } }

    a_o=2.1\ m is the observed length of the cube edge only in the direction of the velocity due to relativistic effect of length contraction.

    So the observed volume will be:

    V_o=a\times a\times a_o

    V_o=3.5\times 3.5\times 2.1

    V_o=25.725\ m^3

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )