1AAA8050-D48F-434D-A35D-FF9C6CB8DEF6

= [ problem. A 100-coil spring has a spring constant of 420 N/m. It is cut into four shorter springs, each of which has 25 coils. One end of a 25-coil spring 1s attached to a wall. An object of mass 46 kg 1s attached to the other end of the spring, and the system 1s set into horizontal oscillation. What 1s the angular frequency of the motion? 19. (D @) Objects of equal mass are oscillating up and down in simple harmonic motion on two different vertical springs. The spring constant of spring 1 1s 174 N/m. The motion of the object on spring | has twice the amplitude as the motion of the object on spring 2. The magnitude of the maximum velocity 1is the same in each case. Find the spring constant of spring 2. 20. 0 &0 I A spring stretches by 0.018 m when a 2.8-kg object is suspended from its end. How much mass should be attached to this spring so that its frequency of vibration 1s / = 3.0 Hz? 21.0 An object attached to a horizontal spring is oscillating back and forth along a frictionless surface. The maximum speed of the object 1s 1.25 m/s, and its maximum acceleration is 6.89 m/s%. How much time elapses between an instant when the object’s speed 1s at a maximum and the next instant when its acceleration is at a maximum? 22. [ @) I A vertical spring (spring constant = 112 N/m) 1s mounted on the floor. A 0.400-kg block 1s placed on top of the spring and pushed down to start it oscillating in simple harmonic motion. The block 1s not attached to the spring. (a) Obtain the frequency (in Hz) of the motion. (b) Determine the amplitude at which the block will lose contact with the spring. 23. [ A tray is moved horizontally back and forth in simple