You are driving on the freeway when a police officer records a shift of −7 nm when he or she measures your speed with a radar gun that operates at a wavelength of 0.1 m. How fast were you going?

Respuesta :

Answer:

1.0493 m/s

Explanation:

Formula for this problem is

[tex]\frac{Shift F}{F} =\frac{2V}{C}[/tex]

Where,

Shift F = -7 nm = -7 × [tex]10^{-9}[/tex] m

F=0.1 m

C= speed of light = 2.998 × [tex]10^{8}[/tex]

V= Object's (he/she) speed

Putting values;

==> -7 × [tex]10^{-9}[/tex]  ÷  0.1  = 2V ÷ 2.998 × [tex]10^{8}[/tex]

==> -7 × 2.998 × [tex]10^{-1}[/tex] = 2V × 0.1

==> - 2.0986 = 0.2 V

==> V =-1.0493 m/s