A blue puck has a velocity of 0i - 3j m/s and a mass of 4 kg. A gold puck has a velocity of 12i - 5j m/s and a mass of 6 kg. What is the kinetic energy of the system?

By definition, the kinetic energy is given by:

K = (1/2) * m * v ^ 2

where

m = mass

v = speed

We must then find the speed of both objects:

blue puck

v = root ((0) ^ 2 + ( - 3) ^ 2) = 3

gold puck

v = root ((12) ^ 2 + ( - 5) ^ 2) = 13

Then, the kinetic energy of the system will be:

K = (1/2) * m1 * v1 ^ 2 + (1/2) * m2 * v2 ^ 2

K = (1/2) * (4) * (3 ^ 2) + (1/2) * (6) * (13 ^ 2)

K = 525 J

answer

The kinetic energy of the system is 525 J