A block is released from rest at the top of a incline that is long

PHYSICS · Single correct · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

A 1.5 kg1.5\,\text{kg} block is released from rest at the top of a 30∘30^{\circ} incline that is 4.0 m4.0\,\text{m} long, ending at a light horizontal spring with force constant 400 N/m400\,\text{N/m}. The surface of the incline is nearly frictionless while the block slides down, but when the block moves back up the same incline the coefficient of kinetic friction is 0.200.20. Air resistance is negligible. After sliding down, compressing the spring, and being pushed back up the incline by the spring, how far up the incline (measured along the incline from the spring) does the block travel before momentarily coming to rest? (a) 4.0 m4.0\,\text{m} (b) 3.0 m3.0\,\text{m} (c) 3.3 m3.3\,\text{m} (d) 2.0 m2.0\,\text{m}

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