Answer:
<em>63.44 rad/s</em>
<em></em>
Explanation:
mass of bullet = 3.3 g = 0.0033 kg
initial velocity of bullet
= 250 m/s
final velocity of bullet
= 140 m/s
loss of kinetic energy of the bullet = ![\frac{1}{2}m(v^{2} _{1} - v^{2} _{2})](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dm%28v%5E%7B2%7D%20_%7B1%7D%20-%20v%5E%7B2%7D%20_%7B2%7D%29)
==>
= 70.785 J
this energy is given to the stick
The stick has mass = 250 g =0.25 kg
its kinetic energy = 70.785 J
from
KE = ![\frac{1}{2} mv^{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20mv%5E%7B2%7D)
70.785 = ![\frac{1}{2}*0.25*v^{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%2A0.25%2Av%5E%7B2%7D)
566.28 = ![v^{2}](https://tex.z-dn.net/?f=v%5E%7B2%7D)
= 23.79 m/s
the stick is 1.5 m long
this energy is impacted midway between the pivot and one end of the stick, which leaves it with a radius of 1.5/4 = 0.375 m
The angular speed will be
Ω = v/r = 23.79/0.375 =<em> 63.44 rad/s</em>
The width of the playroom is 4 m
Answer:
The charge at the center of the conducting sphere is zero.
Explanation:
A principle of conductor materials is that the electric field inside a conductor in electrostatic state is always zero. The gauss law says that the flux of a electric field in a closed surface is proportional to the charge enclosed by the surface. Then if the Electric field inside of a conductor is zero, imperatively the charge anywhere inside the conductor is zero too, so the charge at the center of the sphere is zero.
It’s none of those because it’s moving at a constant rate