Answer:
(a) 1462.38 m/s
(b) 2068.13 m/s
Explanation:
(a)
The Kinetic energy of the atom can be given as:
K.E = (3/2)KT
where,
K = Boltzman's Constant = 1.38 x 10⁻²³ J/k
K.E = Kinetic Energy of atoms = 343 K
T = absolute temperature of atoms
The K.E is also given as:
K.E = (1/2)mv²
Comparing both equations:
(1/2)mv² = (3/2)KT
v² = 3KT/m
v = √[3KT/m]
where,
m = mass of Helium = (4 A.M.U)(1.66 X 10⁻²⁷ kg/ A.M.U) = 6.64 x 10⁻²⁷ kg
v = RMS Speed of Helium Atoms = ?
Therefore,
v = √[(3)(1.38 x 10⁻²³ J/K)(343 K)/(6.64 x 10⁻²⁷ kg)]
<u>v = 1462.38 m/s</u>
(b)
For double temperature:
T = 2 x 343 K = 686 K
all other data remains same:
v = √[(3)(1.38 x 10⁻²³ J/K)(686 K)/(6.64 x 10⁻²⁷ kg)]
<u>v = 2068.13 m/s</u>
Gravitational potential energy can be given by the equation
PE = mgh
where m is the mass,
g is the gravitational constant 9.81 or 10 depending on rounding
and h is the height
well weight is a force equiavlent to
W= m*g
so comparing that to the potential energy equation, divide the potential energy by the height and you will get weight in Newtons
I think its friction and gravity change the motion hope this helps :)
I'm not sure that's true ... we'd need to see some numbers.
But if it is true, it's the same reason why some places don't
want ladies to walk on their floors with high heels.
Pressure is (weight) divided by (area).
Pressure exerted
by a ballerina = (ballerina's weight)/(area of her toe on the floor)
Pressure exerted
by an elephant = (elephant's weight)/(area of 4 elephant feet)
Pressure exerted by
a lady in high heels = (lady's weight) / (area of 1 or 2 heels)
You can see that the greatest weight might not exert the greatest
pressure, and the smallest weight might not exert the smallest
pressure. The area is important, and it takes an awful lot of toes
or high heels to equal the area of one or more elephant's feet.
Answer: It represents the whole distance traveled. Hope this helps!
Explanation:
