a 0.040 kg bullet was traveling at 150 m/s, inelastically collided with a 5 kg pendulum that was at rest. what is the maximum height h can the pendulum go after the collision ignoring the air resistance

We will have the following:

First, using the conservation of momentum to find the velocity of the system, that is:

Now that we have the initial velocity we will use conservation of energy to determine the height of the pendulum:

So, the pendulum mover a height of exactly 125/2058 m, that is approximately 0.06m.

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