This assignment will allow you to demonstrate the following objectives:
4. Apply the concept of momentum conservations to daily life.
4.1 Relate impulse-momentum theorem to Newton’s second law.
4.2 Show the relationship between linear momentum conservation and Newton’s third law.
4.3 Apply momentum conservation to rotational kinematics.
5.Identify the total mechanical energy conservation.
5.1 Interpret total kinetic energy conservation in elastic collision.
Instructions: Solve the problems below. Each question is worth 10 points. You must show your work with as much detail as possible. Answer the questions directly in this template. Before doing so, it is highly recommended that you thoroughly review the Unit IV Lesson in the study guide.
1. A boy exerts an average force of 100 N on a shopping cart for 0.5 seconds. What is the impulse? Hint: See Sample Question 1 in the Unit IV Lesson.
2. In an effort to participate in a science fair, Alice designed a toy car engine that can generate a total impulse of 100 Ns. The mass of the toy car is 2 kg. What is the final speed that her toy car attains when moved from rest? Ignore frictional forces. Hint: See Sample Question 2 in the Unit IV Lesson.
3. Curious George observed an interesting event in an international toy exhibition. Two toy cars were moving forward in a monorail. Toy car #1, weighing 10 kg, was ahead of toy car #2, weighing 20 kg, in the beginning, but they collided and joined together. The initial velocity of toy car #1 is 10 m/s and that of toy car #2 is 20 m/s. What is the final velocity of both of these cars after they are connected? Assume that there is no friction in this system. Hint: See Sample Question 3 in the Unit IV Lesson and Example 5 on page 181 to 182 in the textbook.
4. In an isolated system, a 2kg ball with an initial velocity of 3 m/s hits a 5 kg ball that is initially at rest. What is the total kinetic energy before the collision? If the total kinetic energy after the collision is the same as that before the collision, is this an elastic collision or inelastic collision? Hint: See Sample Question 4 in the Unit IV Lesson and Example 7 on page 185 in the textbook.
5. Consider an inelastic collision between a green ball and an orange ball. The mass m of the green ball is 1 kg and the mass M of the orange ball is 3 kg. Before the collision, the orange ball was at rest and the initial velocity of the green ball was 5 m/s. After the collision, they were combined as one object as shown in the following. What is the final velocity V? Hint: Use the momentum conservation law.
