Answer:
ω = 5.41 rad/s
Explanation:
Since the rod is rotating around its axis, angular momentum will play part in this question.
The conservation of angular momentum implies that

So, the initial angular momentum is

The final angular momentum includes the rod and the bullet together. So,

Answer:
It means that the star is moving towards us.
Explanation:
The star is moving toward us; shift to a shorter wavelength. A shorter wavelength means a shift to the blue end of the spectrum (a blueshift) so that the object is moving toward us.
Answer:
51.2 J, 86.2 J, 137.4 J
Explanation:
The kinetic energy of the ball is given by:

where
m = 0.40 kg is its mass
v = 16 m/s is its speed
Substituting,

The potential energy of the ball is given by

where
m = 0.40 kg
is the acceleration of gravity
h = 22 m is the heigth of the cliff
Substituting,

Finally, the total mechanical energy is the sum of the kinetic energy and the potential energy:

This is simply F=ma so 70N/30m/s^2 will give you the max mass which would be in kg, and the mass would be 2.333333kg a very light plane I might say
Answer:
The number of neutrons.
Explaination:
The atoms of carbon 12 contain 6 neutrons while the atoms of carbon 14 contain 8 neutrons