SOLUTION: Kinetic energy varies jointly as the mass and the square of the velocity. A mass of 10 grams and velocity of 5 centimeters per second has a kinetic energy of 50 ergs. Find the kine

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Question 1066911: Kinetic energy varies jointly as the mass and the square of the velocity. A mass of 10 grams and velocity of 5 centimeters per second has a kinetic energy of 50 ergs. Find the kinetic energy for a mass of 5 grams and velocity of 9 centimeters per second.
Answer by ikleyn(52781) About Me  (Show Source):
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Kinetic energy varies jointly as the mass and the square of the velocity. A mass of 10 grams and velocity of 5 centimeters per second
has a kinetic energy of 50 ergs. Find the kinetic energy for a mass of 5 grams and velocity of 9 centimeters per second.
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From the Wikipedia article https://en.wikipedia.org/wiki/Erg 

       The erg is a unit of energy and work equal to 10−7 joules. It originated in the centimetre–gram–second (CGS) system of units. 
       It has the symbol erg. The erg is not an SI unit. The erg is a unit of energy and work equal to 10%5E%28-7%29 joules. 
       It originated in the centimetre–gram–second (CGS) system of units. It has the symbol erg. The erg is not an SI unit.


Kinetic energy of the body which has the mass "m" and the velocity "v" is E = mv%5E2%2F2.

Substitute the given data to get the kinetic energy value  E = %2810%2A5%5E2%29%2F2 = 125 erg.