Question

The blocks are forced together, compressing a spring between them by a distance x; (the force constant of the spring is k) then the system is released from rest on a level, frictionless surface. The spring, which has negligible mass, is not fastened to either block and drops to the surface after it has expanded. What is the speed that block A acquired, vA

Answer 1

v =
`\sqrt{(k)/(m) }` x

Step-by-step explanation:

For this exercise let's use the important topic of conservation of energy

starting point. Spring compression point

Em₀ = K_e = ½ k x²

final point. When the spring is not compressed

Em_f = K = ½ m v²

as they indicate that there is no friction, the energy is conserved

Em₀ = Em_f

½ k x² = ½ m v²

v =
`\sqrt{(k)/(m) }` x