A particle of mass m (particle #1) is fired head-on at speed 48 m/s toward another particle of mass 3m (particle #2) which is at rest.  The result of this collision is that #1 comes to a complete stop, and #2 moves forward.  (a) At what speed does particle #2 emerge from the collision?  (b) What fraction of the original kinetic energy is lost during this process?

Space probes may be separated from their launchers by exploding bolts. (They bolt away from one another.) Suppose a 5600 kg satellite uses this method to separate from the 1800 kg remains of its launcher, and that 7000 J of kinetic energy is supplied to the two parts. What are their subsequent velocities (in m/s) using the frame of reference in which they were at rest before separation? (Assume the final velocity of the satellite is in the positive direction. Indicate the direction with the sign of your answer.) Vsatellite m/s Viauncher m/s

A nucleus, initially at rest, decays radioactively. In the process, it emits an electronhorizontally to the east, with momentum 9.0 x 10 –21 kg·m/s and a neutrino horizontally to the south, with momentum 4.8 x 10 –21 kg·m/s. (a) In what direction does the residual nucleus move?(b) What is the magnitude of its momentum?(c) If the mass of the residual nucleus is 3.6 x 10 –25 kg, what is its recoil velocity?

Two manned satellites approaching one another, at a relative speed of 0.250 m/s, intending to dock. The first has a mass of 4.00×103kg , and the second a mass of 7.50×103kg .  (a) Calculate the final velocity (after docking) by using the frame of reference in which the first satellite was originally at rest. (b) What is the loss of kinetic energy in this inelastic collision? (c) Repeat both parts by using the frame of reference in which the second satellite was originally at rest.  Explain why the change in velocity is different in the two frames, whereas the change in kinetic energy is the same in both.

Some particles are created via collisions. For instance, pions are created via collisions with high energy protons and carbon, which releases neutrons and pions (which they themself, decay into muons). Suppose two particles with momenta of pi = (2, -1,0,0) kg and p2 = (4,1, 1,0) kg collide. Three particles are created as a result from this collision, two of which have momenta of P3 = (1,0.5, 0, 0) kg and p4 = (1, -1,0,0) kg, determine the four momentum, energy, rest mass and three velocity of the third daughter particle. %3D

A bowling ball onboard a space station is floating at rest relative to the station and an astronaut nudges a Ping-Pong ball toward it at speed v, initiating a perfectly elastic headon collision. Which answer is closest to the Ping-Pong ball’s speed after the collision? (a) 0 (b) v/2 (c) v (d) 2v (e) 3v

In an elastic collision of particles, one particle is stationary and another one is moving to the particle at speed u. After colliding, particle 1 and 2 moves at two different velocity, say v1 and v2. Why is the angle between v1 and v2 must be 90 degrees if the resulting particles and the initial particles all have the same mass?

Two protons (each with rest mass M = 1.67 x 10-27 kg) are initially moving with equal speeds in opposite directions. The protons continue to exist after a collision that also produces an h0 particle. The rest mass of the h0 is m = 9.75 x 10-28 kg. (a) If the two protons and the h0 are all at rest after the collision, find the initial speed of the protons, expressed as a fraction of the speed of light. (b) What is the kinetic energy of each proton? Express your answer in MeV. (c) What is the rest energy of the h0 , expressed in MeV? (d) Discuss the relationship between the answers to parts (b) and (c)

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=

A space station contains 11 modules each with a mass of 13 000 kg, moves at a speed of 4.0km/s. It is equipped with an emergency collision avoidance system whereby an explosive chargecan be detonated to release one of the modules. The collision alarm sounds, and thecommander detonates a charge, releasing one of the modules at a speed of 1400 km/hwith respect to the station, directed opposite to the original direction of travel of the station.Find the resulting change in the speed of the station.