A block is released from rest at the top of a rough incline long that makes an angle…

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Work Energy and Power · Work Energy and Power

Problem

A 2 kg2\,\text{kg} block is released from rest at the top of a rough incline 10 m10\,\text{m} long that makes an angle θ\theta with the horizontal such that sin⁡θ=0.50\sin\theta = 0.50. The coefficient of kinetic friction between the block and the incline is 0.200.20. Take g=9.8 m s−2g = 9.8\,\text{m s}^{-2}. Calculate the speed of the block when it reaches the bottom of the incline. (a) 10 m s−110\,\text{m s}^{-1} (b) 7.7 m s−17.7\,\text{m s}^{-1} (c) 8 m s−18\,\text{m s}^{-1} (d) 8.9 m s−18.9\,\text{m s}^{-1}

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