a force with k-positive constant acts on particle moving in xy plane. Starting frm origin the particle is taken along the positive x axis to the point(a,0) and then parallel yo y axis to the point(a,a).Displacement is -4i+2j-3k then total work done by the forces on the particle is???????

Aman Bansal
592 Points
10 years ago

Dear Student,

In this problem, you will use your prior knowledge to derive one ofthe most important relationships in mechanics: the work-energytheorem. We will start with a special case: a particle of massmoving in the x direction at constant acceleration.During a certain interval of time, the particle accelerates from to , undergoing displacement given by .
part A.
Find the acceleration  of the particle.
Express the acceleration in terms of, and .
part B
Find the net force  acting on the particle.
part c
Find the net work done on the particle by the external forces during the particle''smotion.
part D
Substitute for from Part B in the expression for work from Part C. Then substitutefor from the relation in Part A. This will yield an expression for thenet work done on the particle by the external forces during the particle''smotion in terms of mass and the initial and final velocities. Givean expression for the work in terms of those quantities.
part E
Find the net work done on the particle by the external forces during the motion ofthe particle in terms of the initial and final kineticenergies.
part F
Evaluate the integral .
part G
A particle moving in the x directionis being acted upon by a net force , for some constant .The particle moves from  to . What is , the change in kinetic energy of the particle during thattime?

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Thanks

Aman Bansal