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PHYS 303K HW 7

# PHYS 303K HW 7 - kodeih(njk359 HW 7 Coker(56625 This...

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kodeih (njk359) – HW 7 – Coker – (56625) 1 This print-out should have 18 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. This assignment covers the general defini- tion of potential energy for a conservative force, general types of conservation of energy examples (with 2 or more forces doing work), potential energy diagrams, and the concept of binding energy. 001 10.0 points A synthetic rubber band resists being stretched a distance x from equilibrium with a force vector F b ( x ) = ˆ ı b x 2 , where b is a constant. What is the potential energy U b ( x ) associ- ated with this elastic band? 1. b x 2 2 2. + b x 3 3 3. zero 4. b x 3 3 5. 2 b x 6. + b x 2 2 7. +2 b x 002 10.0 points In a certain region of space, a particle expe- riences a potential energy U ( x ) = A x 2 + B , where A and B are constants. What force F gives rise to this potential energy? 1. ˆ i parenleftbigg A x parenrightbigg 2. ˆ i parenleftbigg 2 A x 3 parenrightbigg 3. There is no force, since the slope of the line is the constant B A . 4. ˆ i parenleftbigg A x + B x parenrightbigg 5. ˆ i parenleftbigg A x 2 parenrightbigg 6. ˆ i parenleftbigg 2 A x 3 parenrightbigg 7. ˆ i parenleftbigg A x + B x parenrightbigg 8. ˆ i parenleftbigg A x 2 parenrightbigg 9. ˆ i parenleftbigg A x parenrightbigg 003 10.0 points A block of mass m 1 is attached to a horizon- tal spring of force constant k and to a spring of negligible mass. The string runs over a mass- less, frictionless pulley to a hanging block of mass m 2 . Initially, the entire system is at rest and the spring is unstretched. m 1 m 2 k m 1 m 2 If mass m 1 slides on a horizontal frictionless surface, what is the speed v of the mass m 2 when it has fallen a distance downward from its rest position? 1. radicaltp radicalvertex radicalvertex radicalbt m 2 g ℓ 1 2 k ℓ 2 m 1 + m 2 2.

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