A block of mass M is initially at rest on a frictionless floor

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

Problem

2. A block of mass M is initially at rest on a frictionless floor. The block, attached to a massless spring with spring constant k , is initially at its equilibrium position. An arrow with mass m and velocity v is shot into the block. The arrow sticks in the block. What is the maximum compression of the spring? (A) vmkv \sqrt{\frac{m}{k}} (B) vm+Mkv \sqrt{\frac{m+M}{k}} (C) (m+M)vmk\frac{(m+M) v}{\sqrt{m k}} (D) mv(m+M)k\frac{m v}{\sqrt{(m+M) k}}

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