A8.9 kg mass is attached to a light cord that passes over a massless, frictionless pulley. the other end of the cord is attached to a 2.9 kg mass. use conservation of energy to determine the final speed of the masses after the heavier mass has fallen (starting from rest) 7.7 m .the acceleration of gravity is 9.8 m/s² . answer in units of m/s.

The final speed of the masses is 8.75 m/s.

Explanation:

Given that,

Mass = 8.9 kg

Other mass = 2.9 kg

Distance = 7.7 m

Let mass start at its 0 Potential energy position.

Let mass start with potential energy from its position 4.6 m over final position.

We need to calculate the final speed of the masses

Using conservation of energy

Put the value in the equation

Hence, The final speed of the masses is 8.75 m/s.

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