A block of mass M at rest on a horizontal frictionless table is attached to a rigid support by a spring with a force constant k (see figure). A projectile of mass m is launched horizontally into the block where it becomes embedded in the block during the impact and causes the spring to compress to a maximum compression A. Derive an expression for the initial speed of the projectile vo in terms of m, M, A and k.

Principles of Physics: A Calculus-Based Text
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A block of mass M at rest on a horizontal frictionless table is attached to
a rigid support by a spring with a force constant k (see figure). A projectile of mass m is launched
horizontally into the block where it becomes embedded in the block during the impact and causes
the spring to compress to a maximum compression A. Derive an expression for the initial speed of
the projectile vo in terms of m, M, A and k.
Transcribed Image Text:A block of mass M at rest on a horizontal frictionless table is attached to a rigid support by a spring with a force constant k (see figure). A projectile of mass m is launched horizontally into the block where it becomes embedded in the block during the impact and causes the spring to compress to a maximum compression A. Derive an expression for the initial speed of the projectile vo in terms of m, M, A and k.
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