Variable-mass system

At instant 1, a mass dm with relative velocity u is about to collide with the main body of mass m and velocity v. After a time dt, at instant 2, both particles move as one body with velocity v + dv.

When released, this rocket balloon ejects a significant amount of its mass as air, causing a large acceleration.

Rocket mass ratios versus final velocity calculated from the rocket equation

In mechanics, a variable-mass system is a collection of matter whose mass varies with time. It can be confusing to try to apply Newton's second law of motion directly to such a system. Instead, the time dependence of the mass m can be calculated by rearranging Newton's second law and adding a term to account for the momentum carried by mass entering or leaving the system. The general equation of variable-mass motion is written as

单词	Variable mass system
释义	Variable mass system 英语百科 Variable-mass system In mechanics, a variable-mass system is a collection of matter whose mass varies with time. It can be confusing to try to apply Newton's second law of motion directly to such a system. Instead, the time dependence of the mass m can be calculated by rearranging Newton's second law and adding a term to account for the momentum carried by mass entering or leaving the system. The general equation of variable-mass motion is written as
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Variable mass system

Variable-mass system