Determine the angular speed, in rad/s of: a. Earth about its axis
b. the minute hand of a clock
c. the hour hand of a clock
d. an egg beater turning at 300 rpm.

Explanation:

A. The earth about its axis:

The earth makes one revolution in 24 hours. to know the number of revolutions per second it makes, we need to convert hours to seconds and the revolution to rad.

B. The minute hand of the clock makes one revolution in 60 minutes

To convert this to rad per second, we have

C. The hour hand of  a clock completes one revolution in 12 hours

D. an egg beater turning at 300 rpm.

float.

archimedes' principle

denser than water sinks in water.

denser than mercury would sink in it

you'd use the equation that establishes a relationship between  energy  and  wavelength, which looks like this

e=h⋅cλ, where

λ  - the wavelength of the photon; c  - the speed of light, usually given as  3⋅108m/s; h  -  planck's constant, equal to  6.626⋅10−34j s

plug the value you were given for the energy of the photon in the above equation to get the wavelength

e=h⋅cλ⇒λ=h⋅ce

λ=6.626⋅10−34js⋅3⋅108ms−1.257⋅10−24j=1.581⋅10−1m