PROBLEMS FROM SERWAY AND ADDITIONS TO FISHBANE PROBLEMS JUNE 6 - JUNE 12 FISHBANE - CHAPTER 5 63. The picture for this problem is on p. 170, FIG 6-31. FISHBANE - CHAPTER 6 10. (b) Should ask for the work done on the ROPE by this force (not on the mass). FISHBANE - CHAPTER 7 57. (b) Answer the final question even if the skier does leave the surface. SERWAY - CHAPTER 5 46. A ball is suspended from the ceiling of a moving car by a string 25 cm in length. An observer in the car notes that the ball deflects 6 cm from the vertical toward the rear of the car. What is the acceleration of the car? SERWAY - CHAPTER 7 22. When a 4-kg mass is hung vertically on a certain light spring that obeys Hooke's law, the spring stretches 2.5 cm. If the 4-kg mass is removed, (a) how far will the spring stretch if a 1.5-kg mass is hung on it, and (b) how much work must an external agent do to stretch the same spring 4.0 cm from its unstretched position? 26. If it takes 4 J of work to stretch a Hooke's-law spring 10 cm beyond its unstressed length, determine the additional work required to stretch it another 10 cm. 59. A 200-g block is pressed against a spring of force constant 1400 N/m until the block compresses the spring 10 cm. The spring rests at the bottom of a ramp inclined at 60 degrees to the horizontal. Determine how far up the incline the block moves before momentarily coming to rest, (a) if there is no friction between the block and the ramp and (b) if the coefficient of kinetic friction is 0.4. SERWAY - CHAPTER 8 56. A 10-g mass is attached to the end of an unstressed, light, vertical spring (k = 49 N/m) and then dropped. Answer the following questions by considering the potential energy due to the spring plus the potential energy due to gravity, i.e. measure distances from the equilibrium position of the spring with no mass attached. (a) What is the maximum speed of the falling mass? (b) How far does the mass drop before coming to rest momentarily? 56'. Repeat problem 56, but answer the questions by considering the potential energy of the spring with the mass attached, i.e. measure distances from the equilibrium position of the spring with the mass attached.