123A9165-B9F1-46A2-AB16-01FFD3759AB1

= [ A\ < x acceleration of the box is zero. (b) What 1s the magnitude of the spring’s displacement when the spring is fully compressed? 36. D EED I A spring is compressed by 0.0620 m and 1s used to launch an object horizontally with a speed of 1.50 m/s. If the object were attached to the spring, at what angular frequency (in rad/s) would it oscillate? 37. D [ A 0.60-kg metal sphere oscillates at the end of a vertical spring. As the spring stretches from 0.12 to 0.23 m (relative to its unstrained length), the speed of the sphere decreases from 5.70 to 4.80 m/s. What is the spring constant of the spring? 38. [ A 1.1-kg object is suspended from a vertical spring whose spring constant is 120 N/m. (a) Find the amount by which the spring is stretched from its unstrained length. (b) The object 1s pulled straight down by an additional distance of 0.20 m and released from rest. Find the speed with which the object passes through its original position on the way up. 39. B E&D A 70.0-kg circus performer is fired from a cannon that 1s elevated at an angle of 40.0° above the horizontal. The cannon uses strong elastic bands to propel the performer, much in the same way that a slingshot fires a stone. Setting up for this stunt involves stretching the bands by 3.00 m from their unstrained length. At the point where the performer flies free of the bands, his height above the floor 1s the same as the height of the net into which he is shot. He takes 2.14 s to travel the horizontal distance of 26.8 m between this point and the net. Ignore friction and air resistance and determine the effective spring constant of the firing mechanism. 40. [ A 1.00 X 10~?-kg bullet is fired horizontally into a D AN b virandan Wlasl attanbhad A Anva A A AL A snacalaaa