Task 1: Elastic potential energy 1. State Hooke's Law both in words and equation form. 2. Consider the concepts related to springs. Choose one of the following to answer: i. Compare and contrast restoring force and applied force. ii. Compare and contrast a real spring and an ideal spring. 3. Spring A is harder to stretch than Spring B. Explain how the spring force constants of each spring would compare in this situation. 4. Using the following image as an aid, describe the energy conversions a spring undergoes during simple harmonic motion as it moves from the point of maximum compression to maximum stretch in a frictionless environment. Be sure to indicate the points at which there will be: i) Maximum speed. ii) Minimum speed. iii) Minimum acceleration. Lwwwwwwwww Ax = A equilibrium Ax = A at max at max compression stretch 5. A mass of 4.0 kg is in motion along a horizontal, frictionless surface with a speed of 2.5 m/s when it makes contact with a horizontal spring anchored to a wall. The spring compresses and brings the mass to a momentary rest. The spring constant is 1,250 N/m. i. Determine the maximum distance the spring is compressed. ii. Determine the speed of the block when the spring is compressed a distance of 9.5 cm. 6. A toy spring launcher is used to launch a 10.5 g object into the air. The spring of the launcher is initially compressed 6.0 cm. The spring has a spring constant of 5.2 x 102 N/m. i. Determine the elastic potential energy of the compressed spring. ii. Determine the speed of the object as it is ejected upward from the launcher. Task 1: Elastic potential energy 1. State Hooke's Law both in words and equation form. 2. Consider the concepts related to springs. Choose one of the following to answer: i. Compare and contrast restoring force and applied force. ii. Compare and contrast a real spring and an ideal spring. 3. Spring A is harder to stretch than Spring B. Explain how the spring force constants of each spring would compare in this situation. 4. Using the following image as an aid, describe the energy conversions a spring undergoes during simple harmonic motion as it moves from the point of maximum compression to maximum stretch in a frictionless environment. Be sure to indicate the points at which there will be: i) Maximum speed. ii) Minimum speed. iii) Minimum acceleration. Lwwwwwwwww Ax = A equilibrium Ax = A at max at max compression stretch 5. A mass of 4.0 kg is in motion along a horizontal, frictionless surface with a speed of 2.5 m/s when it makes contact with a horizontal spring anchored to a wall. The spring compresses and brings the mass to a momentary rest. The spring constant is 1,250 N/m. i. Determine the maximum distance the spring is compressed. ii. Determine the speed of the block when the spring is compressed a distance of 9.5 cm. 6. A toy spring launcher is used to launch a 10.5 g object into the air. The spring of the launcher is initially compressed 6.0 cm. The spring has a spring constant of 5.2 x 102 N/m. i. Determine the elastic potential energy of the compressed spring. ii. Determine the speed of the object as it is ejected upward from the launcher.