Answer:
c)The gases have the same average kinetic energy.
Explanation:
As we know that the kinetic energy of gas is given as

here we know that

so we have

now we have

now mean kinetic energy per molecule is given as

so this is independent of the mass of the gas
so average kinetic energy will remain same for both the gas molecules
Answer:
Explanation:
Ke = 1/2mv2 = 1/2.10.(4)2=5.16= 80 J
Answer:
a)52.58 m/s
b)56.13°
Explanation:
assume the upward direction as positive
x-component of the velocity = 29.3×cos33.6°=24.40 m/s (remain constant)
y-component of the velocity which is -29.3sin33.6°= -16.21 m/s
time of flight = 68.3/24.40= 2.7991 seconds
now, we can obtain final velocity in y-direction


=43.66 m/s

=52.58 m/s
for direction

56.13° from the horizontal
Answer:
The equation of equilibrium at the top of the vertical circle is:
\Sigma F = - N - m\cdot g = - m \cdot \frac{v^{2}}{R}
The speed experimented by the car is:
\frac{N}{m}+g=\frac{v^{2}}{R}
v = \sqrt{R\cdot (\frac{N}{m}+g) }
v = \sqrt{(5\,m)\cdot (\frac{6\,N}{0.8\,kg} +9.807\,\frac{kg}{m^{2}} )}
v\approx 9.302\,\frac{m}{s}
The equation of equilibrium at the bottom of the vertical circle is:
\Sigma F = N - m\cdot g = m \cdot \frac{v^{2}}{R}
The normal force on the car when it is at the bottom of the track is:
N=m\cdot (\frac{v^{2}}{R}+g )
N = (0.8\,kg)\cdot \left(\frac{(9.302\,\frac{m}{s} )^{2}}{5\,m}+ 9.807\,\frac{m}{s^{2}} \right)
N=21.690\,N
Answer:
Angular speed, 
Explanation:
It is given that,
The top of the leaning bell tower at Pisa, Italy, moved toward the south at an average rate of, v = 1.2 mm/yr

Velocity, 
Height of the tower, h = 55 m
The height of the tower is equivalent to the radius. Let
is the angular speed of the tower’s top about its base. The relation between the angular speed and the angular speed is given by :




So, the average angular speed of the tower’s top about its base is
. Hence, this is the required solution.