Block 1 is attached to a spring and oscillates on a horizontal frictionless surf

Question

Block 1 is attached to a spring and oscillates on a horizontal frictionless surface. When block 1 is at a point of maximum displacement, block 2 is placed on top of it from directly above without interrupting the oscillation, and the two blocks stick together. How do the maximum kinetic energy and period of oscillation with both blocks compare to those of block 1 alone?

a. Maximum Kinetic energy - smaller, Period - smaller

b. Maximum Kinetic energy - smaller, Period - greater

c. Maximum Kinetic energy - The same, Period - smaller

d. Maximum Kinetic energy - The same, Period - greater

Explanation / Answer

max KE = 0.5kA^2 [ A is amplitude, so same]
Period = 2pi*sqroot(m/k), m is increased, so T increases
Maximum Kinetic energy - The same, Period - greater

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