## anonymous one year ago A puck of mass 300g is sliding along a friction-less patch of ice at 6.0m/s. It encounters a rough path of ice with the coefficient of friction of 0.1. How long will it take for the puck to stop and how far will it travel?

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1. anonymous

You can relate the distance it will travel $$d$$ with the initial kinetic energy $$K_i$$, using the Work-Energy theorem: $\Delta K = K_f - K_i = W_{net}$ and considering that the only work to account for is the one made by the friction: $$W_{f}=f\times d$$ with $$f=\mu mg$$ the final kinetic energy will be zero, since that determines the moment it stops once you found $$d$$ you can use kinematic to find the time it takes, you can calculate the acceleration knowing that the only force applied in the horizontal direction is friction.