In an arcade game a 0.122 kg disk is shot across a frictionless horizontal surfa

Question

In an arcade game a 0.122 kg disk is shot
across a frictionless horizontal surface by com-
pressing it against a spring and releasing it.
If the spring has a spring constant of
228 N/m and is compressed from its equi-
librium position by 7 cm, find the speed with
which the disk slides across the surface. An-
swer in units of m/s.

Explanation / Answer

Total Energy=Potential Energy of spring(PE)+Kinetic Energy(KE) First when then spring is compressed all of the energy is stored upas potential and none as Kinetic energy because kinetic energyrequires something to move. Total Energy=PE+0 ==> Total energy= .5kx2 (formulafor spring potential energy and distance must be in meters) Total energy= .5kx2 ==> 0.5* 228*0.072 = 0.5586Joules Then once the puck is released all that energy becomes kineticenergy Total energy=0+KE ==> Total energy= 0+ 0.5mv2 ==>0.5586=0.5*.122* v2 solve for v, v=3.02612m/s

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