Problems and Questions

Q.1: A particle moving in the xy- plane undergoes a displacement ?????=2???+3?????, as a constant force ???=5???+2?????, acts on the particle
1. Calculate the magnitude of the displacement and that of the force.
2. Calculate the work done by the force ??? .
3. Find the angle between ??? and ?????.
Q.2: A particle of mass m initially at rest, is acted on by the force
??=??0[??2?(2?????)2??2?] during the interval 0??????, prove that the velocityof particle at the end of the interval is 2??0??3???
Q.3: A 6Kg block initially is pulled to the right a long a horizontal, frictionless surface by a constant horizontal force of 12N. Find the speed of the block after it has moved 3m.
Q.4: A block of mass 1.6Kg is attached to horizontal spring that has a force of 1×103(???? ). The spring compressed 2cm and then released from rest
a. Calculate the speed of the block as it passes through the equilibrium position ??=0, if the surface is frictionless
b. Calculate the speed of the block as it passes through the equilibrium position if a constant frictional force of 4N retards its motion from the moment it is release.