
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
7) A train, originally of mass  $M$ , is traveling on a frictionless straight horizontal track with constant speed  $v$ . Snow starts to fall vertically and sticks to the train at a rate of  $\rho$ , where  $\rho$  has units of kilograms per second. The train's engine keeps the train moving at constant speed  $v$  as snow accumulates on the train.

What is the rate at which the kinetic energy of the train and snow increases?

A)  $0$ B)  $Mgv$ C)  $\frac{1}{2}Mv^2$ D)  $\frac{1}{2}pv^2$ E)  $\rho v^2$ 

Present the answer in LaTex format: \boxed{Your answer}
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