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A wooden block with a force sensor mounted on it sits on ametal track. The mass

ID: 1727029 • Letter: A

Question

A wooden block with a force sensor mounted on it sits on ametal track. The mass of the block with the sensor is 0.96 kg. Theforce sensor reading is 4.0N as the cart is moving across thetrack, it goes up to 4.1N then down to 3.9N. The acceleration ofthe the block is 0.4349 m/s2. Calculate the coefficientof kinetic friction mk of the block, be sure to clearlystate the values of Fapplied(N), Fk(N), andthe Normal Force (N). If the coefficient of kinetic friction cannont be determinedfrom the given information state why. Hint: Use Ftotal = ma and Ftotal =Fapplied-fk to determine the force ofkinetic friction fk. The coefficient of kineticfriction mk can then be foundfrom fk = mkN. A wooden block with a force sensor mounted on it sits on ametal track. The mass of the block with the sensor is 0.96 kg. Theforce sensor reading is 4.0N as the cart is moving across thetrack, it goes up to 4.1N then down to 3.9N. The acceleration ofthe the block is 0.4349 m/s2. Calculate the coefficientof kinetic friction mk of the block, be sure to clearlystate the values of Fapplied(N), Fk(N), andthe Normal Force (N). If the coefficient of kinetic friction cannont be determinedfrom the given information state why. Hint: Use Ftotal = ma and Ftotal =Fapplied-fk to determine the force ofkinetic friction fk. The coefficient of kineticfriction mk can then be foundfrom fk = mkN.

Explanation / Answer

   Given that the mass of block is m = 0.96 kg    The final force is F = 3.9 N    acceleration of block is a = 0.4349m/s2   ----------------------------------------------------     The normal force is N = mg                                     = 9.408 N From Newtons second law                               F - fk = ma                         F - k*N = ma                                    k = ( F - ma ) / N                                         = 0.057

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