Question

Two buckets each of mass 5kg are connected one each end of a light inextensible string going over a smooth pulley. A piece of putty of mass 2kg is dropped through a height of 20m into one bucket and become attached. Calculate
(i) The initial velocity of the system after impact
(ii) The acceleration with which the buckets move
(iii) The energy lost by the 2kg mass due to the impact.

Answer 1

for initial velocity, conservation of momentum
let clockwise rotation be +
initial=final
2*vi=(10+2)Vf
you want to solve for vf.
vi=sqrt(2*9.8*20)

acceleration: force/mass=2g/12

Answer 2

Yes

Answer 3

Answer