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A launcher mechanism consists of two rubber bands with uniform spring constant k

ID: 1288388 • Letter: A

Question

A launcher mechanism consists of two rubber bands with uniform spring constant k and equilibrium length L as in the diagram. Assume the launcher is held horizontally and the surface is frictionless. a) Find the net force exerted by the rubber bands at any position x. b) Find the work done by the launcher as x varies from x1 to x2. c) Find the potential energy function for the launcher in terms of x assuming that U = 0 when x = 0. d) A mass (150. g) is loaded into the launcher and released when x = 50.0 cm. Calculate the maximum speed of the mass. (k = 1400. N/m, L = 25.0 cm)

Explanation / Answer

First page:

https://drive.google.com/file/d/0B1REhwGoc_l1UjNXbjJkUTdJd1ZqS3hHc2N6c3NaZmZHc3Rn/view?usp=sharing

Second Page:

https://drive.google.com/file/d/0B1REhwGoc_l1aGlCV1RlY3VQS1Z5a2lmMnp5R3NzUmtVOUgw/view?usp=sharing

Third Page:

https://drive.google.com/file/d/0B1REhwGoc_l1SS1CS3ZEcS1SOWUyU20tV3F2dnJGZFY5ZWFZ/view?usp=sharing

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