A 1.79 kg block slides across a horizontal surface directly toward a massless spring with spring constant 5,300 N/m. The surface is frictionless except for a rough patch of length 0.45 m that has coefficient of kinetic friction 0.28. The initial velocity of the block is 3.24 m/s directed straight toward the spring. What is the maximum compression of the spring?

Question

A 1.79 kg block slides across a horizontal surface directly toward a massless spring with spring constant 5,300 N/m.  The surface is frictionless except for a rough patch of length 0.45 m that has coefficient of kinetic friction 0.28.  The initial velocity of the block is 3.24 m/s directed straight toward the spring.  What is the maximum compression of the spring?

Having trouble with this question.  I know that I need to calculate the total energy of the system.

Elena · Answer

KE=W(fr) +PE(spring) m•v²/2 = μ•m•g•s+k•x²/2 Solve for “x”