- #1

Nasa123123

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- Homework Statement
- I am working on a problem where a box is moving on a frictionless surface with velocity v0, and is gaining mass by the rate of dm/dt = a. There are no external forces working on the box. The problem is to find an expression for the velocity as a function of time as the mass increases. The rate of change in mass is just given as «a» and I interpret this as it is not supposed to be a variable in the differential equation.

- Relevant Equations
- F = ma = m dP/dt = m dv/dt

I have tried several things but I am a little uncertain if I’m thinking right so a little hint goes a long way. I think I have to use the law of conservation of momentum as the collision between the raindrops and the box is inelastic. But I am unsure how to set up the equation.