Tectonic plates are large segments of Earth's crust that move slowly. Suppose one such plate has an average speed of 4.0 cm/yr. (a) What distance does it move in 1.0 s at this speed? (b) What is its speed in kilometers per million years?

Respuesta :

Answer:

(A) [tex]1.268\times 10^{-9}m[/tex]

(B) [tex]40km/million\ year[/tex]

Explanation:

We have given speed is 4 cm/year

We know that 1 m = 100 cm

And 1 year = [tex]3.154\times 10^7sec[/tex]

So speed in [tex]4cm/year=4\times \frac{0.01m}{3.154\times 10^7sec}=1.268\times 10^{-9}m/sec[/tex]

(A) Time is given t =1 sec

We have to find the distance

Distance is equal to , distance = speed × time = [tex]=1.268\times 10^{-9}\times 1=1.268\times 10^{-9}m[/tex]

(B) Now we have to find the speed in km/million year

As 1 km = 1000 m

And 1 m = 100 cm

So 1 km = 100000 m

[tex]1million\ year=10^6year[/tex]

So speed in km/million year will be

[tex]4cm/year=4\times \frac{10^{-5}km}{10^{-6}million\ year}=40km/million\ year[/tex]