Net Work & Work-Energy Theorem Video Lessons

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Problem: Consider a system consisting of three particles with velocities given in terms of a 3D coordinate system (x, y, and z axes): m1 = 2 kg, v1  = < 10, -5, 12 > m/s m2 = 9 kg, v2 = < -14, 3, -3>m/s m3 = 2 kg, v3 = < -23, 37, 20 > m/s What Is the total kinetic energy of thls system? Ktot = _____ J

FREE Expert Solution

Kinetic energy:

K=12mv2

3D vector magnitude:

|v|2=vx2+vy2+vz2

Ktot = K1 + K2 + K3 

K1 = (1/2)m1v12 = (1/2)(m1)(v1x2 + v1y2 + v1z2) = (1/2)(2)((10)2 + (-5)2 + (12)2) = 269 J

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Problem Details

Consider a system consisting of three particles with velocities given in terms of a 3D coordinate system (x, y, and z axes): 

m1 = 2 kg, v1  = < 10, -5, 12 > m/s 

m= 9 kg, v2 = < -14, 3, -3>m/s 

m= 2 kg, v3 = < -23, 37, 20 > m/s 

What Is the total kinetic energy of thls system? 

Ktot = _____ J

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