Mass Accretion – Variable Mass System

Questions where additional mass is added to a moving body (or dropped onto it) and the final velocity is found using momentum conservation for variable mass scenarios.

jee-main 2012 Q3 View
Sand is being dropped on a conveyer belt at the rate of 2 kg per second. The force necessary to keep the belt moving with a constant speed of $3 \mathrm {~ms} ^ { - 1 }$ will be
(1) 12 N
(2) 6 N
(3) zero
(4) 18 N