Test \"Energy\" A spring with a spring constant of 110 N/m is stretched 5.0 cm from its rest position. a. Calculate the work done on the spring. (3 marks, K) b. Calculate the average force applied. (2 marks, A) c. If the spring is then stretched from its 5.0 cm position to its 8.0 cm position, calculate the work done on the spring. (3 marks, T) A 3.0 kg ball is attached to one end of a spring on a horizontal, frictionless surface. The other end ofthe spring is attached to a wall. The spring constant is 110 N/m. The spring is stretched 10.0 cm from its equilibrium position and released. a. What is the total energy ofthe ball spring system? (2 marks, K) b. What is the speed of the ball when it passes the equilibrium position? (3 marks, A) c. What is the speed of the ball at the moment when the ball passes a point that is 5.0 cm from the equilibrium position? (3 marks, A) A cart is released at the top of a hill. If the influence of the force of friction on the cart motion is negligible, determine the speed of the cart after it has descended through a vertical height of 8.0 m. (3 marks, A) A 3 kg block slides from rest down an inclined plane that makes an angle of 42 with the horizontal. a. If the plane is frictionless, what is the speed of the block after slipping a distance of 2.0 m? (3 marks, T) b. If the coefficient of kinetic friction between the block and the plane is 0.1, what is the work done by the force of friction on the block after slipping a distance of 2.0 m? (3 marks, A) c. Under the conditions listed in question (b), what is the speed of the block? (3 marks, T)