*Please show all intermediate steps with clarity! Use full vector notation throu

Question

*Please show all intermediate steps with clarity!

Use full vector notation throughout this question, and ensure you indicate the units for all quantities. A stationary electron at r- = (1,1,1) is subjected to a force F- = pi- + qj- + rk- N. a- = i- + j- m s-2. Hence, in the interval between t = 2 s and t = 4 s, find: the displacement vector, the distance moved, the work done by the force, and the rate of change of momentum. Hence or otherwise; show that the force on the election is equal to its rate of change of momentum, show that the work done on the election is equal to its change in kinetic energy, write down an expression (in terms of p, q and r) for the potential in which the electron is moving.

Explanation / Answer

displacement vector = double int. 1.414 . dt.dt= 1.414

i.e same as the acc vector.. = i + j m

distance moved= velocity* time= 5.656 m

work done= F.dx= root(p^2+q^2+r^2).1.414

rate of change of momentum= force= root (p^2+q^2+r^2)

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