IB Physics Spring Problems
/A sheet testing Physics concepts involving a mass on a spring is given below.
- At a certain instant a mass on a spring has zero velocity. Must it have zero acceleration?
- An object on a spring has zero acceleration at a certain instant. Must it have zero velocity?
- A mass on a spring is at rest. Is there no force acting on the mass?
- Is the tension in a spring equal to the resultant force acting on the mass?
- State Hooke's law (be careful).
- A mass moves in SHM on a spring. Is the speed of the mass at the instant it passes through the equilibrium position the same as the average speed during one oscillation?
- A mass M is placed on a spring of constant k that hangs vertically. If the mass is released from rest does the mass fall a distance Mg/k before coming to rest?
- A block of mass M rests on a smooth horizontal surface. A spring of force constant k connects the block to a wall on the left. On the right a constant horizontal force F pulls on the block. Is the extension of the spring F/k when the block comes to rest?
- A mass M is on a smooth horzontal table. Two identical springs, one on the left and one on the right, are connected to the mass. The other end of each spring is held at rest. If the mass is displaced a small amount in the line of the springs and released, what is the period of the oscillations? Each spring has a spring constant k.
- A spring has a spring constant k. The spring is cut in half. What is the spring constant of each section?
- A 2.0 kg mass slides from rest down an inclined plane of angle of elevation 30°. After travelling 4.0 m the mass encounters a spring of spring constant 100 Nm-1. Find the maximum compression of the spring if (a) the incline is smooth, (b) the coefficient of friction between the mass and the plane is 0.20. ((a) 0.989 m, not 0.885 m (b)0.783 m)
- In question 11 (b) determine the compression of the spring when the mass eventually comes to rest. (8.6 cm, from Tipler Physics 2nd edition page 220)
