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. Hint: What kind of collision is this? vo

College Physics
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Chapter6: Momentum, Impulse, And Collisions
Section: Chapter Questions
Problem 62AP: Consider a frictionless track as shown in Figure P6.62. A block of mass m1 = 5.00 kg is released...
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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-
Hint: What kind of collision is this?
x = 0
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- Hint: What kind of collision is this? x = 0
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