Consider the inelastic collision. Two lumps of matter are moving directly toward each other. Each lump has a mass of 0.500 kgand is moving at a speed of 0.910?. The two lumps collide and stick together. Answer the questions, keeping in mind that relativistic effects cannot be neglected in this case. What is the final speed ?f of the combined lump, expressed as a fraction of ?? ?f=   ? What is the final mass ?f of the combined lump immediately after the collision, assuming that there has not yet been significant energy loss due to radiation or fragmentation? ?f=

An unstable particle is at rest and suddenly breaks up into two fragments. No external forces act on the particle or its fragments. One of the fragments has a velocity of +0.811c and a mass of 1.57 × 10-27 kg, and the other has a mass of 5.98 × 10-27 kg. What is the velocity of the more massive fragment (as a multiple of c)? (Hint: This problem is similar to Example 6 in Chapter 7.) Unstable particle at rest V2 m2 m1 V1 Recoiling fragments

A ball of mass m traveling at a speed of 0.80c has a perfectly inelastic collision with an identical ball at rest. If Newtonian physics were correct for these speeds, momentum conservation would tell us that a ball of mass 2m departs the collision with a speed of 0.40c. Let's do a relativistic collision analysis to determine the mass and speed of the ball after the collision. Part C What is the initial total energy? Give your answer as a fraction times mc². Don't forget that there are two balls. Express your answer in terms of c and m. IVD ΑΣΦ E= Submit Part D Uf = Request Answer Because energy can be transformed into mass, and vice versa, you cannot assume that the final mass is 2m. Instead, let the final state of the system be an unknown mass M traveling at the unknown speed uf. You have two conservation laws. Find uf. Express your answer in terms of c and m. Submit IVE ΑΣΦ ? Request Answer ?