Quantum Mechanics, Cart filling, + friction as it moves

[GassyMule]

Homework Statement

A cart roles down the track with an initial velocity v_o. 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 v_o = 2 m/s, m_o = 100 kg, μ = 0.1, and the time rate of change of the mass of the cart k = 1 kg/s

 

[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 .