Provide clear answers in the end

A spaceship of mass 2.20x10 koko is cruising at a speed of 4.60*10 m/sm/s when the antimatter reactor fails, blowing the ship into three pieces. One section, having a mass of 5.20x105 kgko, is blown straight backward with a speed of 1.80x10 m/sm/s . A second piece, with mass 7.80x105 kgkg continues forward at 1.00x10 m/sm/s . You may want to review (Page 261) . For help with math skills, you may want to review: Solving Algebraic Equations For general problem-solving tips and strategies for this topic, you may want to view a Video Tutor Solution of Softball toss Part A What is the speed of the third piece? Q2 Two cars, both of mass mo, collide and stick together. Prior to the collision, one car had been traveling north at speed 2v20, while the second was traveling at speed VO at an angle Qu south of east (as indicated in the figure). After the collision, the two-car system travels at speed VfinalU final at an angle On east of north. (Figure 1) N PART A Find the speed Viinal Ufinal of the joined cars after the collision. PART B What is the angle On with respect to north made by the velocity vector of the two cars after the collision? Express your answer in terms of Qu. Your answer should contain an inverse trigonometric function using the notation asin, atan etc. and not arcsin, arctan etc. Q3 Sam, whose mass is 71 koks, straps on his skis and starts down a 48 mm -high, 20.20 frictionless slope. A strong headwind exerts a horizontal force of 200 NN on him as he skies. PART A Use work and energy to find Sam's speed at the bottom. Express your answer to two significant figures and include the appropriate units. A 11.1 kokg weather rocket generates a thrust of 240 NN_The rocket, pointing upward, is clamped to the top of a vertical spring. The bottom of the spring, whose spring constant is 430 N/mN/m , is anchored to the ground. PART A Initially, before the engine is ignited, the rocket sits at rest on top of the spring. How much is the spring compressed? Express your answer with the appropriate units. PART B After the engine is ignited, what is the rocket's speed when the spring has stretched 38.0 cmom. 2 Express your answer with the appropriate units. PART C For comparison, what would be the rocket's speed after traveling this distance if it weren't attached to the spring? Express your answer with the appropriate units