(Solved): Help! A compressed spring (spring constant equal to 2000N/m ) is used to launch a wheeled cargo ca ...

A compressed spring (spring constant equal to $2000\mathrm{N}/\mathrm{m}$ ) is used to launch a wheeled cargo cart as shown in the illustration below. The total mass of the loaded wheeled cargo cart is 50 $\mathrm{kg}$. The spring used to launch the cargo cart is compressed 0.500 meters from its equilibrium position and then locked in place with the cargo cart against it. No significant frictional forces are present. Once the cargo cart leaves the spring it rolls across a level, frictionless floor before encountering an inclined ramp with a height of 0.46 meters. When it reaches the top of the ramp, what speed will it have? (Enter your answer to THREE decimal places to avoid rounding error.)