The rocket flies into the dust cloud with a speed υ relative to the cloud. The dust particles were sticky

The rocket flies into the dust cloud with a speed υ relative to the cloud. The dust particles were sticky: they hit the rocket inelastically. So that the speed of movement does not change, it was necessary to turn on the engine, which develops a thrust force F. What thrust would be needed to maintain speed if the rocket flew a cloud with a speed υ into another cloud, where the concentration of particles (i.e., the number of particles per unit volume ) three times more?

In the denser part of the cloud, the thrust force must be increased by 3 times.