Answer: 6.65 rad/s
Explanation:
Firstly, we need to know that according the kinetic theory of gases, the average kinetic energy
of a molecule with
degrees of freedom is:
(1)
Where:
because oxigen is a diatomic molecule and has 5 degrees of freedom
is the Boltzman constant
is the temperature
Then:
(2)
(3) With this value of average kinetic energy we can find the average angular velocity, with the following equation:
(4)
Where:
is the moment of inertia
is the angular velocity
Now,
(5)
Being
the molar mass of Oxigen molecule and
the distance between atoms
(6)
(7)
Substituting (7) and (3) in (4):
(8)
Finding
:
(9) This is the average angular velocity for a molecule of O2
Answer: 7 kg bowling ball must move with a speed of 2.8 m/s so that it has the same kinetic energy.
Explanation:
Kinetic energy is the energy possessed by a body by virtue of its motion.

m = mass of object
v= velocity of the object

b) for a 7 kg bowl to have kinetic energy of 27 Joules:



Thus 7 kg bowling ball must move with a speed of 2.8 m/s so that it has the same kinetic energy
You can use Newton's Second Law which states:

Plug in given information:

This is closest to option
b which is your answer.
Answer:
La tensión es 85.3 N.
Explanation:
Cuando el objeto gira en dirección horizontal, la sumatoria de fuerzas se puede calcular usando la segunda ley de Newton:

Dado que el movimiento es horizontal, el peso (que está en el eje y) no contribuye en la sumatoria de fuerzas en el eje x. Por lo que la única fuerza actuando sobre el objeto en la dirección del movimiento es la tensión.
En donde:
m: es la masa del objeto = 200 g = 0.200 kg
: es la aceleración centrípeta
La aceleración centrípeta viene dada por:

En donde:
ω: es la velocidad angular del objeto = 3 rev/s
r: es el radio = 1.20 m
Entonces, la tensión es:

Por lo tanto, la tensión es 85.3 N.
Espero que te sea de utilidad!