6. An explosion breaks an object initially at rest into two pieces, one of which has 1.4 times the mass of the other. If 7300 J of kinetic energy were released in the explosion, how much kinetic energy did the heavier piece acquire?

A railroad car of mass 2.60 x 104 kg moving at 2.90 m/s collides and couples with two coupled railroad cars, each of the same mass as the single car and moving in the same direction at 1.20 m/s. (a) What is the speed of the three coupled cars after the collision? 1.77 m/s (b) How much kinetic energy is lost in the collision? 1.69e04 Additional Materials eBook

7. A 1.000 kg particle moves at a speed of 0.500 m/s, as shown in Figure 2a. It collides with a 2,000 kg particle at rest at origin. What is the system's total momentum of the system in the x and y direction before the collision? +y m2) V4 30 m m2 +X +X 45° (a) (b) Fig. 2: Collision of mass m, and m, 8. Figure 2b shows that, after a collision, m, travels at a speed v3 at an angle e, = 315.0° with respect to the horizontal axis, while m, moves at a speed v, at an angle O, = 30.0° with respect to the horizontal axis. Write an equation for the system's total momentum in the x and y direction after the collision. 9. Using the equations produced in question 8, solve the value of v3 and v4.

4. A 2.0 kg block hangs from the end of a 1.5 kg, 1.0-m long rod, together forming a pendulum that swings from a frictionless pivot at the top end of the rod. A 10 g bullet is fired horizontally into the block where it sticks, causing the pendulum to swing out to a 30° angle. What was the speed of the bullet? (5 marks) m,-0.010 kg d=1.0 m m=1.5 kg mg2.0 kg Ves=0 m/s

1. A billiard ball, labeled 1, moving horizontally strikes another billiard ball, labled 2, at rest. Before the impact ball 1 was moving at a speed of 5.0000 m/s and after the impact it is moving at a speed of 3.0000 m/s at an angle of 50 degrees from the original direction. The two balls have equal mass. Vii O Ball 1 only O Ball 2 only m₁ y m₂ 0₂ Vif m₁ m/s m₂ V2f (a) What should you consider a system for the collisional forces to be internal in order to apply the law of conservation of momentum ? X O Ball 1 and Ball 2 (b) Write conservation of momentum equations for the x and y directions separately and solve for the speed of ball 2 after the impact. Speed of ball 2 after impact =

11. Each croquet ball in a set has a mass of 0.53kg. The green ball, traveling at 11.9 m/s, strikes the blue ball, which is at rest. Assuming that the balls slide on a frictionless surface and all collisions are head-on, find the final speed of the blue ball if the green ball continues moving after the collision at 2.5 m/s in the same direction.

In this problem, an astronaut is landes on the 6.1×1021 kg asteroid traveling at 9830 m/s and detonates a nuclear bomb. The asteroid breaks into two pieces of equal mass. One piece will fly off at an angle of 30∘ and speed 9700 m/s. What will be the speed and angle of the second piece?

A spaceship of mass 2.30x10 kg is cruising at a speed of 4.60x105 m/s when the antimatter reactor fails, blowing the ship into three pieces. One section, having a mass of 5.20x105 kg, is blown straight backward with a speed of 2.50x106 m/s. A second piece, with mass 7.70x105 kg, continues forward at 1.00x106 m/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? Express your answer with the appropriate units. μà 16.35 106 [] m S pak ? Submit Previous Answers Request Answer * Incorrect; Try Again: 5 attempts remaining

There is a large crater in Arizona called Meteor Crater. It is estimated that it was formed about 20,000 years ago by a meteorite that had a mass of about 5 x 10^10 kg and was traveling at a speed of 7.5 km/sec. How fast could this meteorite have hit the Earth (whose mass is 6 x 10^24 kg) if we assume a head-on collision?

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…