From the perspective of system 1, the origin of system 2 moves with the velocity

, and a mass m with velocity

. What are momentum and kinetic energy of m from the perspective of system 2?

 

Your in a plane moving at velocity V. As you sit motionless in your chair on the plane, what do YOU perceive is your own velocity?

A moving system which uses itself as a reference frame cannot prove it is in motion. There needs to be a separate - second frame

 

WRT to U2 v=(vx-ux, vy-uy, vz)

You should be able to figure the rest out from that.

 

From the perspective of system 1, the origin of system 2 moves with the velocity

, and a mass m with velocity

. What are momentum and kinetic energy of m from the perspective of system 2?

Reduce it to terms that you can imagine easily.

System one is a chair sitting next to the railroad track. The train is system 2. The train is moving to the left at 50 mph (relative to the chair) and a plane flies overhead left to right at 110 mph relative to the chair. What is the speed of the plane from the perspective of the train? Get that worked out using the mathematical notation above. Then got to a 2-D case where you are imagining a chair next to a lake and a boat moving out on the lake.