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Two inclines have idential shape: L = 13.2 m , h = 7.19 m . Case (1) The incline has NO friction. Case (2) The inline has friction. But the coefficient of kinetic friction is unknown. The suitcase' mass is m = 21.4 kg , The magnitude of the gravitational acceleration is 9.80 m/s2 . In both cases, at the bottom of the inlcines, the suitcase starts with an initial speed of v0 = 18.7 m/s . There is NO pulling force or pushing force.Part A - Both Cases: How much work is done by gravity in the process that the suitcase moves from the bottom to the Top of the inclines?

Part B - Case 1: at the bottom of the smooth incline, the suitcase starts with an initial speed of v0 = 18.7 m/s . What is its speed when reaching the TOP of the smooth incline?

Part C - Case 2: at the bottom of the ROUGH incline, the suitcase starts with an initial speed of v0 = 18.7 m/s . Its speed when reaching the Top of the rough incline is vf2 = 10.95 m/s . Find the work done by the kinetic frictional force.

Part D - What is the magnitude of the Kinetic frictional force?

Part A:

In both cases, the work done by gravity can be calculated using the formula: where: - Fo...