A cart loaded with sand moves along a horizontal floor due to a constant force `F`
Channel: Doubtnut
Date: 2020-07-12

A cart loaded with sand moves along a horizontal floor due to a constant force `F` coinciding in direction with cart's velocity vector. In the process, the sand spills through a hole in the bottom with a constant rate `mukg//s.` Find the acceleration and velocity of the cart at the moment `t`, if at the initial moment `t=0` the cart with loaded sand had mass `m_(0)` and its velocity was equal to zero. Friction is to be neglected.