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Name: ___________________________ Practice - 5.1 Friction – Part 2 1. Show that the acceleration of any object down an incline where friction behaves simply (that is, where Ffk = μkFN) is a = g( sin θ – μkcos θ). Note that the acceleration is independent of mass. 2. Calculate the deceleration of a snow boarder going up a 5.0º slope, assuming the coefficient of friction for waxed wood on wet snow. Be careful to consider the fact that the snow boarder is going uphill. 3. A. Calculate the acceleration of a skier heading down a 10.0º slope, assuming the coefficient of friction for waxed wood on wet snow. Neglect air resistance. B. Find the angle of the slope down which this skier could coast at a constant velocity. Neglect air resistance. 4. CHALLENGE: A contestant in a winter sporting event pushes a 45.0-kg block of ice across a frozen lake as shown. A. Calculate the minimum force F he must exert to get the block moving. B. What is its acceleration once it starts to move, if that force is maintained? 5. CHALLENGE: A contestant is now pulling the block of ice with a rope over his shoulder at the angle shown. A. Calculate the minimum force F he must exert to get the block moving. B. What is its acceleration once it starts to move, if that force is maintained? Solutions: 1. 2. 1.8 m/s2 3. A. 0.74 m/s2 B. 5.7o 4. A. 51 N B. 0.72 m/s2 5. A. 46 N B. 0.66 m/s2