The problem is: A 0.40-kg mass is attached to a spring with a force constantof 2

Question

The problem is: A 0.40-kg mass is attached to a spring with a force constantof 26 N/m and released from rest a distance of 3.2 cm from theequilibrium position of the pring. (a) Give astragtegy that allows you to find the speed of the mass whenit is halfway to the equilibrium position. (b) Useyour strategy to find this speed. The problem is: A 0.40-kg mass is attached to a spring with a force constantof 26 N/m and released from rest a distance of 3.2 cm from theequilibrium position of the pring. (a) Give astragtegy that allows you to find the speed of the mass whenit is halfway to the equilibrium position. (b) Useyour strategy to find this speed.

Explanation / Answer

a) we have     E = K+U or     K = E-U    1/2*mv2 = 1/2*kA2 -1/2*K(A/2)2    or    v ={k[A2-(A/2)2/m} b) v ={26N/m[(0.032m)2-(0.016m)2/0.40kg}       = 0.22 m/s    or    v ={k[A2-(A/2)2/m} b) v ={26N/m[(0.032m)2-(0.016m)2/0.40kg}       = 0.22 m/s

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