PHYSICS ergy. su or PHYSICS Springs Four Springs, Pendulums, and Energy 1) A certain spring has a spring constant of 35 N/m. If a mass of 0.25 kg is attached to the end of the spring, how far will it stretch before reaching equilibrium? 0.07M 2) A mass of 12 kg is attached to a spring with a spring constant of 80 N/m. The mass is pulled 30 cm below the equilibrium position and released from rest. a) What is the total energy of the mass when released? 316J b) What is the total energy of the mass when it reaches the equilibrium position? 3.6 J c) What is the velocity of the mass when it reaches the equilibrium position? 0.77m/s d) What is the acceleration of the mass when it is at its classical turning point? Z.Om/52 e) What is the velocity of the mass when it is exactly at the midpoint between the equilibrium position and the classical turning point? O. 67mys 3) Gaspar the pigmy pony (13 kg) is running at a speed of 85 m/s. He runs into a spring that is lying horizontally on a frictionless surface. After colliding with the spring, it compresses and brings Gaspar to a stop, completely absorbing his energy. The spring has a spring constant of 1220 N/m a) What is Gaspar's total energy before hitting the spring? 46 962. 5J b) How much energy must the spring absorb, in order to bring Gaspar to a complete stop? 46962,5 c) What is the maximum distance that the spring compresses? d) What is Gaspar's speed when the spring is compressed 4 meters? 4) A certain pendulum consists of a 3 kg mass tied to a long string. The pendulum is raised to a height of .65 m and released from rest. a) How much kinetic energy does the mass have when it reaches the equilibrium position? b) What is the velocity of the mass when it reaches the equilibrium position? A spring is placed at the equilibrium position. It has a spring constant of 125 N/m. When the mass reaches the equilibrium position it will hit the spring, causing it to compress. The spring will absorb all of the mass's energy, bringing it to rest. c) How much energy must the spring absorb to bring the mass to a complete rest? d) How far does the spring compress? e) How far is the spring compressed when the mass is traveling at 2.0 m/s? 1) 0.07 m 2) 3.6 J 3) 46962.5 J 4) 19.11 J 3.6 J 46962.5 J 3.57 m/s 0.77 m/s 8.77 m 19. 11 J 2.0 m/s2 75.65 m/s 0.55 m 0.67 m/s 0.46 m