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**1. Homework Statement**

A 1.4-kg cart is attached to a horizontal spring for which the spring constant is 60 N/m . The system is set in motion when the cart is 0.27m from its equilibrium position, and the initial velocity is 2.6 m/s directed away from the equilibrium position.

A. What is the amplitude of the oscillation?

B. What is the speed of the cart at its equilibrium position?

**2. Homework Equations**

E=K+U

**3. The Attempt at a Solution**

U=½kΔx

^{2}=½⋅60⋅0.27

^{2}=2.187J

K=½mv

^{2}=½⋅1.4⋅2.6

^{2}=4.732J

E=K+U=½mv

_{f}

^{2}

Is this the right way to proceed?