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. Ax = A equilibrium Ax = A at max at max compression stretch5. 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.1. State the names of the two classifications of collisions covered in Unit 2. 2. Define each type of collision from Part 1. 3. From the following examples choose only two and indicate the type of collision each represents. Justify each choice using concepts from this unit. i. Two billiard balls are moving toward each other along an essentially frictionless surface and collide head- on. ii. While distracted by the sun, a driver heading eastbound doesn't observe a stop sign and proceeds to drive through an intersection. Meanwhile, another car travelling southbound enters the intersection and collides with the eastbound vehicle. Both cars remain together after the initial contact occurs. iii. Standing at the baseline of a tennis court, a tennis player tosses a tennis ball over her head swings at the ball. The racquet hits the tossed ball and travels to the other side of the tennis court. iv. A rubber ball is thrown at an aluminum can. Hitting the can, the ball causes a dent in the can. 4. In an elastic head-on collision, a 0.60 kg cart moving at 5.0 m/s [W] collides with a 0.80 kg cart moving at 2.0 m/s [E]. The collision is cushioned by a spring (k = 1,200 N/m). i. Determine the velocity of each cart after the collision. ii. Determine the maximum compression of the spring.5. Choose one of the following problems and solve it completely: i. At a road intersection, a 1,200 kg car travelling southward at 18.0 m/s collides with a 975 kg car travelling eastward at 33.3 m/s, as depicted in the following diagram. The cars remain together after the collision. Determine the direction and speed that the damaged cars travel after they collide (ignore friction). Z WE PE S V2ii. Jogger 1 is travelling east at 6.5 m/s and has a mass of 82 kg. Jogger 2 is travelling north at 5.8 m/s and has a mass of 54.5 kg. One of the joggers has their head down and doesn't observe the other, resulting in a right-angle collision as depicted in the following diagram. Both joggers are locked together after the collision. Determine the direction and speed of the two joggers after the collision. North Jogger 1 East Jogger 2