Hi all could you please help me with this questions?? I need to solve all of them step by step!!

Homework Assignment: No credit will be given for problems without work. Please read the homework guidelines in the syllabus. Each question is worth 10 points. The Center of Mass 1. If each mass in the gure is 1.0 kg, what is the position of the center of mass in unit-vector form? The units for the coordinates are in meters. 2. If all the masses in the gure have a mass of 2.0 kg, and m2 has speed 2.0 m/s and m3has a speed of 4.0 m/s, what is the velocity of the center of mass in unit vector form? Linear Momentum; Principle of Impulse and Momentum 3. A 2000-kg car, traveling to the right at 30 m/s, collides with a brick wall and comes to rest in 0.20 s. What is the average force (magnitude and direction) the car exerts on the wall? Linear Momentum; Principle of Impulse and Momentum 3. A 2000-kg car, traveling to the right at 30 m/s, collides with a brick wall and comes to rest in 0.20 5. What is the average force (magnitude and direction) the car exerts on the wall? 4. In the gure shows a 0.300 kg baseball just before and just aer it collides with a bat. Just before, the ball has velocity 171 of magnitude 12.0 m/s and angle 61 =35.0. Just aer, it is traveling directly upward with velocity 1720f magnitude 10.0 m/s. The duration of the collision is 2.00 ms What are the (a) magnitude and (b) direction (relative to the positive direct of the x axis) of the impulse on the ball from the bat? What are the (c) magnitude and (d) direction of the average force on the ball 'om the bat? Conservation of Linear Momentum Conservation of Linear Momentum 5, During practice a hockey player hits a 0.170-kg puck at another identical stationary puck as shown in the gure. Before and aer collision, v\" = 1.50 m/ s, vlf = 0.750 m/ 3. Find the magnitude and direction of the second puck aer collision. Before collision After collision Collision 6, A 1000-kg car traveling at 25 m/s runs into the rear of a stopped car that has a mass of 1500 kg and they stick together. What is the speed of the cars after the collision? ' Collision 6. A lOOO-kg car traveling at 25 m/s runs into the rear of a stopped car that has a mass of 1500 kg and they stick together. What is the speed of the cars after the collision? Answers: 1. 1.0?+0.33;m 2. 6m=0.67i+1.3]m/s 3. 3.0x105 N (magnitude) 4. (a) 5.86 N~s (b) 593 (c) 2.93x103 N (d) 59.8'z 5 6 . 0.930m/s 23.8\\ . 10m/s