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Block a of mass ma is moving horizontally with speed va along a frictionless sur- face. it collides with block b of mass mb that is initially at rest. the two blocks stick together after the collision. at x = 0, block b enters a rough surface with a coefficient of kinetic friction that increases linearly with distance μk(x) = bx for 0 ≤ x ≤ d, where b is a positive constant. at x = d, block b collides with an unstretched spring with spring constant k on a frictionless surface. the downward gravitational acceleration has magnitude g. what is the distance the spring is compressed when the blocks first comes to rest? express you answer in terms of some or all of the following: va, b,d, g,k, ma and mb.
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