SOLUTION: The Kinetic energy K or a moving object varies jointly with its mass m and the square of the velocity v. If an object weighing 27 kilograms and moving with a velocity of 10 meters

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Question 402950: The Kinetic energy K or a moving object varies jointly with its mass m and the square of the velocity v. If an object weighing 27 kilograms and moving with a velocity of 10 meters per second has a kinetic energy of 1,350 Joules, find its kinetic energy when the velocity is 23 meters per second.
Found 2 solutions by solver91311, richard1234:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!




where is the constant of proportionality.

Substitute the values given for the initial condition:



Solve for and then use the resulting formula to solve for any of the other values given two of them.

John

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Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
If you know that the kinetic energy is equal to KE+=+%281%2F2%29mv%5E2, then KE+=+%281%2F2%29%2827+kg%29%2823+m%2Fs%29%5E2 = 7141 J