Radar is used to determine distances to various objects by measuring the round-trip time for an echo from the object. (a) How far away is the planet Venus if the echo time is 1000 s? (b) What is the echo time for a car 75.0 m from a Highway Police radar unit?

Respuesta :

Answer

given,

Echo time = t = 1000 s

speed = ?

[tex]v = \dfrac{d}{t}[/tex]

a) speed of electromagnetic wave

[tex]c = \dfrac{d}{t}[/tex]

wave travels Venus two time

[tex]c = \dfrac{2d}{t}[/tex]

[tex]d = \dfrac{ct}{2}[/tex]

[tex]d = \dfrac{3 \times 10^8\times 1000}{2}[/tex]

d = 1.5 x 10¹¹ m

b) now, echo time

    [tex]c = \dfrac{2d}{t}[/tex]

    [tex]t = \dfrac{2d}{c}[/tex]

    [tex]t = \dfrac{2\times 75}{3 \times 10^8}[/tex]

          t = 5 x 10⁻⁷ s