5. Two 1500 kg cars drive east; the first moving at 45 m/s, the second at 50 m/s. What is the magnitude of the total momentum of the system?
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- 1. A firecracker travels straight up at 75.0m/s and explodes into two pieces. The smaller piece carries one third of the firecracker's mass and shoots off horizontally at 48.0m/s west. Determine the speed and direction of the other piece directly after the explosion. 2. Three blocks slide on a smooth surface. Initially, the first block (m1=1.0kg) moves at 3.0m/s to the right, the second block (m2=2.0kg) is at rest, and the third block (m3=3.0kg) moves to the left at 0.50m/s. First, m1 collides elastically with m2 and recoils to the left. Afterwards, m2 and m3 collide and stick. Calculate, a. the velocities of m1 and m2 after the first collision. b. the velocity of m2 and m3 after the second collision.5. A vessel at rest at the origin of an xy coordinate system explodes into three pieces. Just after the explosion, one piece, of mass m, moves with velocity (−70 m/s) and a second piece, also of mass m, moves with velocity (−70 m/s). The third piece has mass 3m. (a) Just after the explosion, what is the magnitude of the velocity of the third piece? --------m/s(b) What is the direction of the velocity of the third piece? -----------° counterclockwise from the +x-axis6. An astronaut in space becomes unteathered from her space craft while tightening bolts on a satellite, and she knows that the conservation of momentum is her only hope to safely get back to her ship. She turns her back to the ship and throws her 3.2-kg wrench in the direction pointing away from the ship. If the astronaut and her space suit have a combined mass of 120 kg and she is able to throw the wrench with a speed of 1.7 m/s, how fast will she move toward the space craft? Hint: you can assume that the astronaut is initially at rest relative to the space craft.
- 1.Two cars collide at an intersection and stick together. Car A, with a mass of 1200 kg , was going east at vA = 25 m/s before the collision while car B, of mass 1600 kg , was going north at vB = 16 m/s . What is the speed of the cars after the collision? 2.A head-on, elastic collision between two particles with equal initial speed v leaves the more massive particle (mass m1 ) at rest. The less massive particle has mass m2 . Find the ratio of the particle masses. Then find the final speed of the less massive particle.83 A ball has a momentum of 12.3 kg.m/s to the right. It then collides with another stationary ball. What is the total momentum of the two balls after the collision? 13.2 kg.m/s 6.60 kg.m/s 26.4 kg.m/s 52.8 kg.m/s
- 1. Refer to figure 1. Two carts collide and merge together. Calculate the final velocity of the merged carts, determine whether it was an elastic or inelastic collision, and whether energy was conserved or not. m₁ m₁ = 10.0 kg V₁ = 8.00 m/s Figure 1 m₂ m₂ = 30.0 kg V₂ = 0.00 m/s m3 = 40.0 kg V = ?Questions 1.-4. refer to a head-on collision between two balls with the following initial values: Before Collision m2 V Ix 3.5 kg 4.5 kg 5.0 m/s -2.0 m/s 1. What is the total momentum (in kg m/s) of the system? 2. If the two balls stick together, what is their common speed (in m/s) after they collide? 3. How much kinetic energy (in joules, positive number) was lost in this collision? 4. If the two balls do not stick together, and the first ball moves at vịx = -1 m/s after they collide, what is the speed (in m/s) of the second ball?8. A hockey puck of mass 0.37 kg is shot east at 2.10 m/s strikes a second puck, initially at rest, of mass 0.54 kg. As a result of the collision, the first puck is deflected at an angle of 35° north of east, with a speed of 1.45 m/s. What is the angle made between the direction of the second puck and the east direction after the collision? X 317.86 O
- I. A lump of clay (m = 3.01 kg) is thrown towards a wall at speed v = 3.15 m/s. The lump sticks to the wall. (a) What kind of collision is it? Is momentum conserved during this collision? Why or why not? (b) Calculate the impulse imparted on the lump by the wall. (c) Calculate percent of initial kinetic energy lost during this collision. II. Same lump is thrown towards the same wall, but this time it bounces off the wall at speed of 3.15 m/s. (a) What kind of collision is it? Is momentum conserved during this collision? Why or why not? (b) Calculate the impulse imparted on the lump by the wall. (c) Calculate percent of initial kinetic energy lost during this collision. III. Same lump is thrown towards the same wall, but this time it bounces off the wall at speed of 2.24 m/s. (a) What kind of collision is it? Is momentum conserved during this collision? Why or why not? (b) Calculate the impulse imparted on the lump by the wall. (c) Calculate percent of initial kinetic…1.A 26.2-kg dog is running northward at 2.70 m/s, while a5.30-kg cat is running eastward at 3.04 m/s. Their 74.0-kgowner has the same momentum as the two pets taken together.Find the direction and magnitude of the owner’s velocity. Explain and draws.2. Two skaters collide and grab onto each other on frictionless ice. One of them (mass = 70.0 kg) is moving to the right at 4.00 m/s, while the other (mass = 65.0 kg) is moving to the left at 2.50 m/s. What are the magnitude and direction of the velocity of these skaters just after they collide?