Auniform thin rod of length 0.700 m and mass 4.10 kg can rotate in a horizontal plane about a vertical axis through its center. the rod is at rest when a 3.0 g bullet traveling in the rotation plane is fired into one end of the rod. as viewed from above, the bullet's path makes angle θ = 60° with the rod. if the bullet lodges in the rod and the angular velocity of the rod is 15 rad/s immediately after the collision, what is the bullet's speed just before impact? m/s

Explanation:

Since there is no external Force or Torque on the system of bullet and rod

So we can say that total angular momentum of the system will remain conserved about its center

So we will have

here we know that

now we have

emily ruth's annual premium is $1058.50

step-by-step explanation:

emily ruth is a female of 27 years age purchasing 20 year endowment insurance with face value $25000.

from the given table,

for females, the age of a male 3 years younger should be used.

so, we have to check for 24 year male for 20 year endowment.

it is 42.34 for every $1000 face value.

for a face value of $25000,

it is 25 * 42.34 = $1058.50

∴ emily ruth's annual premium is $1058.50