Question

A unit of time sometimes used in microscopic physics is the "shake". One shake equals 10−8 s.

Answer 1

Answer:

(a) There are 3.17 times more shakes in a second than seconds in a year.

(b) Humans have existed for 9067.72 universe seconds.

Explanation:

(a) First we calcule how many seconds are in a year. One year have 365 days, one day has 24 hours, one hour has 60 minutes and one minute has 60 seconds, so:

$60s*60*24*365=3.1536*10^7s$

Now, we calculate how many shakes are in a second:

$1s*\frac{1shake}{10^{-8}s}=10^8shakes$

Finally, we calculate how many more shakes in a second are there than seconds in a year:

$\frac{10^8s}{3.1536*10^7s}=3.17$

(b) Using a simple rule of three we can calculate  how many "universe seconds" have humans existed, recall that 1 day has 86400 seconds:

1010 years--------->86400s

106 years----------> x seconds

$x=\frac{106y*86400s}{1010y}=9067.72s$