11_P49InstructorSolution

11_P49InstructorSolution - 11.49. Model: We will use the...

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11.49. Model: We will use the spring, the package, and the ramp as the system. We will model the package as a particle. Visualize: We place the origin of our coordinate system on the end of the spring when it is compressed and is in contact with the package to be shot. Model: (a) The energy conservation equation is 1g 1s 1 t h 0g 0s 0e x t 22 2 2 11 e e t h 00 e x t () ( ) KU U E KU U W mv mgy k x x E mv mgy k x W +++ Δ=+++ ++ + Δ = Δ + Using 1 1 m, y = th 0 J E Δ= (note the frictionless ramp), 0 0 m/s, v = 0 0 m, y = 30 cm, x Δ = and ext 0 J, W = we get 2 2 1 2 1 1 (1 m) 0 J 0 J 0 J 0 J (0.30 m) 0 J (2.0 kg) (2.0 kg)(9.8 m/s )(1 m) (500 N/m)(0.30 m) 1.70 m/s mv mg k v v + = + + + += ⇒= (b) How high can the package go after crossing the sticky spot? If the package can reach 1 1.0 m y
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This note was uploaded on 12/10/2011 for the course PHYS 1211 taught by Professor Geller during the Fall '09 term at University of Georgia Athens.

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