# Quantum Mechanics, Cart filling, + friction as it moves

Tags:
1. Nov 10, 2015

### GassyMule

1. The problem statement, all variables and given/known data
A cart roles down the track with an initial velocity vo. Because of falling rain, water starts filling the cart such that its mass increases linearly with time. The rain that has fallen on the track cause the wagon to experience a frictional force characterized with a coefficient of kinetic friction μ.

a) Write the equation of motion for this scenario..

b) Solve this differential equation by hand to get the velocity as a function of time. You might have to consult a book on ordinary differential equations.

c) Using whatever means you wish, plot the velocity of the cart versus time and determine at what time the cart stops moving. Use vo = 2 m/s, mo = 100 kg, μ = 0.1, and the time rate of change of the mass of the cart k = 1 kg/s

2. Nov 11, 2015

### BvU

Hello GM, welcome to PF !

What's the QM got to do with all this ?

You need to get familiar with the PF culture a little better: see the guidelines . Template, attempted soltion, relevant equations are missing and that should preclude any assistance at this stage, I'm afraid.

And: is there something you wanted to ask ? So far all I see is a (nice) exercise .