A block is projected upward along a straight rough incline that makes an angle of…

PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics

Problem

A 1.0 kg1.0\,\text{kg} block is projected upward along a straight rough incline that makes an angle of 25∘25^{\circ} with the horizontal. The coefficient of kinetic friction between the block and the incline is μk=0.30\mu_k=0.30. Starting at the foot of the incline, the block travels 0.90 m0.90\,\text{m} up the slope before momentarily coming to rest. (a) Calculate the initial speed of the block at the bottom of the incline. (b) If the same initial speed were instead directed up an identical incline that had negligible friction, determine how far up the slope the block would travel before coming to rest. Compare this distance with the value obtained in part (a) and explain the difference.

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