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A unit of time sometimes used in microscopic physics is the shake. One shake equals 10-8s. Are there more shakes in a second than there are seconds in a year? (b) Humans have existed for about 106years, whereas the universe is about 1010years old. If the age of the universe is defined as1 鈥渦niverse day,鈥 where a universe day consists of 鈥渦niverse seconds鈥 as a normal day consists of normal seconds, how many universe seconds have humans existed?

Short Answer

Expert verified
  1. Yes, there are more shakes per second than there are seconds per year.

  2. Humans existed for 8.6universesec.

Step by step solution

01

Given data

One shake equal 10-8.

Humans have existed for about 106years.

The universe is about 1010yearsold

02

Understanding the unit conversion

The density of water is1.0103kg/m3.

03

Understanding the unit conversion

Unit conversion is the conversion between different units of measure for the same quantity. Use the conversion factors to convert the number of shakes in the year and compare it with the number of seconds in the year.

04

(a) Finding the number of seconds in one year

The number of shakes in a second is108.

The number of seconds in years is,

365.25dayyear24hrsday60minhrs60secmins=3.15107sec

Thus, there are more shakes per second than seconds per year.

05

(b) Finding the number of universe seconds of human existence 

The age of the universe is,

1uday=86400usec

The time duration tfor which humans have existed is calculated as:

localid="1654675551338" 螖迟=1061010uday=10-4uday=10-4uday86400u-sec1uday=8.6usec

Thus, the time duration for which humans have existed is8.6usec.

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