1. A hippo is dozing under water with only its small nostrils sticking out. It h
ID: 1361458 • Letter: 1
Question
1. A hippo is dozing under water with only its small nostrils sticking out. It has a mass of 2100 kg and a volume of about 2.07 m3 after exhaling. How much force does it exert on the ground of the pool (fresh water, density 1g/cm3)?
2.What is the RMS speed of Helium atoms when the temperature of the Helium gas is 290 K? (Possibly useful constants: the atomic mass of Helium is 4.00 AMU, the Atomic Mass Unit is: 1 AMU = 1.66×10-27 kg, Boltzmann's constant is: kB = 1.38×10-23 J/K.)
What would be the RMS speed, if the temperature of the Helium gas was doubled?
Explanation / Answer
apply pressure P = Force/area = rgo hg
Force = density * volume * gravity
Force = 1e 3 * 2.07 * 9.8
Force = 20286 N
-------------------------------
Vrms = sqrt(3KT/M)
Vrms^2 = 2 * 1.38e -23 * 290/(4*1.67 e -27)
Vrms = 1.094 km/s
if T is Doubled, Vrms changes by 1.414 times
so
Vrms = 1.414 * 1.094 = 1/547 km/s
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