You extend the block out to 11cm and let it go what

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equilibrium position. You extend the block out to 11cm and let it go. What is the work done by the spring on the block between 5cm and 3cm? 6. A block of mass 5kg slides down a frictionless incline of 30 0 at a speed of 10m/s when it hits a rough patch which causes the block to stop sliding after traveling 10 meters. a) What was the work done by friction? b) How much heat was created by the time the block traveled 3 meters along the patch of friction? 7. Which of these forces are conservative: (c is a constant and x is the unit vector in the x direction in all equations) a) F = c(x – x 0 ) 3 x , where x 0 is a constant. b) F = c v x x c) F = [c/(x 2 )] x d) F = -cx x if v x > 0 and F = cx x if v x < 0 8. A 10kg block slides down a 45 0 inclined plane with a coefficient of kinetic friction u = .5. The block has an initial velocity of v 0 and initial position x 0 at time t=0. It travels 3 meters before it comes to a stop. a) What was its initial velocity, v 0 ? b) How much heat was generated by friction between x = x 0 + 2 and x = x 0 + 2.5 meters? 9. A 100kg motorcycle has an engine that can output 3kW of power. If a rider of mass 80kg rides the vehicle up an incline of 30 0 , what is the top speed they can achieve? Answers: 1. v 1 = -2 m/s, v 2 = 3 m/s both in x direction 2. 90 Joules 3. -176.4 Joules 4. a. 3 Joules, b. 6 Joules, the force is not conservative 5. 7.2 Joules 6. a. -250 Joules, b. -75 Joules 7. a and c are conservative, b and d are not. 8. a. 4.56m/s b. 17.3 Joules 9. 12.24 km/hr
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