A shipping company designed a new system fill their delivery trucks. They are using a spring of stiffness coefficient k-2000 N/m to accelerate packages of mass m=3.5 kg up a ramp of length d=8 m, has kinetic friction coefficient u=0.5, and makes an angle of 0=45° above the horizontal. a) If the spring is compressed a distance x=0.7 m prior to launching a package, how much energy does the package have before launching up the ramp? b) Does the package lose any energy as it goes up the ramp? If so, how much? If not, why? c) At what speed will the package leave the ramp?

A shipping company designed a new system fill their delivery trucks. They are using a spring of stiffness coefficient k-2000 N/m to accelerate packages of mass m=3.5 kg up a ramp of length d=8 m, has kinetic friction coefficient u=0.5, and makes an angle of 0=45° above the horizontal. a) If the spring is compressed a distance x=0.7 m prior to launching a package, how much energy does the package have before launching up the ramp? b) Does the package lose any energy as it goes up the ramp? If so, how much? If not, why? c) At what speed will the package leave the ramp?