A pinball machine launches a 146 g ball with a spring-driven plunger. The game board is inclined at 5 degrees above the horizontal. Assume: The plungers mass and frictional effects are negligible. The acceleration of gravity is 9.8 m/s2 . Find the force constant k of the spring that will give the ball a speed of 101 cm/s when the plunger is released from rest with the spring compressed 2 cm from its relaxed position.