special relativity

posted by .

A projectile of rest mass M1, total energy E1, and momentum p1, is directed at a stationary target of mass m2. Find the the velocity of the centre-of-momentum frame .

  • special relativity -

    The total energy of a system is given by:

    E = gamma m c^2

    The total momentum is:

    p = gamma m v

    The ratio p/E is thus:

    p/E = v/c^2

    So, if we know the energy and momentum of a system, we know the velocity.

    For the given system, the energy is:

    E = E1 + m2 c^2

    The momentum is

    p = p1

    Therefore:

    v = c^2 p/E = c^2 p1/(E1 + m2 c^2)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Science

    Two masses of 20 and 10 kg are moving in the same direction and one directly behind the other. The 20-kg mass is behind and moving at 10m/s and the other is moving at 5m/s. The masses collide and after the collison, the 20kg mass moves …
  2. physics

    write down in terms of the mass m and the velocity v of the body, expressions for i) momentum ii) the kinetic energy use your answer to (b) to help calculate the mass and the velocity of the ball momentum is mass*velocity Kinetic energy …
  3. physics, please reply.

    block 1 of mass 1 slides from rest along a frictionless ramp from height h=2.50m and then collides with stationary block 2, which has mass2=2.00 m1. After the collision, block 2 slides into a region where the coefficient of kinetic …
  4. Physics

    Ok, so this probem is kinda complicated, so ask me if you need clarification. This problem deals with Impulse and Momentum. There are two balls hanging vertically from a horizontal plane. Ball A is pulled back and is set up to strike …
  5. physics

    work & energy homework problems: please help me =] my teacher is bad a teaching how to do stuff =/ 1)A 5.000kg plastic ball moves with a velocity of 10.00 m/s x. It collides with a second plastic ball of mass of 10.00kg at rest. The …
  6. special relativity

    A photon of energy E collides with a stationary particle of rest mass m0 and is absorbed by it. what is the velocity of the resulting composite particle ?
  7. modern physics - relativity

    A photon of energy E collides with a stationary particle of rest mass m0 and is absorbed by it . (A) what is the velocity of resulting composite particle ?
  8. Physics

    Two masses, m1 = 2.0 kg and m2 = 3.3 kg, are moving in the xy-plane. The velocity of their center of mass and the velocity of mass 1 relative to mass 2 are given by the vectors vcm = (−1,+2.2) m/s and vrel = (+4.5, +1.0) m/s. …
  9. Physics: Collison/Momentum Problem

    A 15 kg mass, moving east at 5 m/s, collides elastically with another 10 kg mass, moving west at 1 m/s. After the collision, the larger mass moves off with a velocity of 3 m/s. What is the final velocity of the smaller mass?
  10. phys3

    A projectile of mass 2.0 kg approaches a stationary target body at 4.9 m/s. The projectile is deflected through an angle of 59.8° and its speed after the collision is 2.8 m/s. What is the magnitude of the momentum of the target body …

More Similar Questions