Problem: A freight company uses a compressed spring to shoot 1.90-kg packages up a 1.00-m-high frictionless ramp into a truck, as the figure (Figure 1) shows. The spring constant is 378 N/m and the spring is compressed 33.0 cm.What is the speed of the package when it reaches the truck?

FREE Expert Solution

Since there are no non-conservative forces acting, the initial potential energy of the spring is equal to the sum of final potential and kinetic energies of the truck.

Ep.s=PEf+KEf=mgh+12mv212mv2=Ep.s-mghv=2(Ep.s-mgh)m=2(Ep.s-mgh)m

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Problem Details

A freight company uses a compressed spring to shoot 1.90-kg packages up a 1.00-m-high frictionless ramp into a truck, as the figure (Figure 1) shows. The spring constant is 378 N/m and the spring is compressed 33.0 cm.

What is the speed of the package when it reaches the truck?

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