An atom of mass m₁ = m moves in the positive x direc- tion with speed v₁ = v. It collides with and sticks to an atom of mass m₂ = 2m moving in the positive y direction with speed v₂ = 2v/3. Find the resultant speed and direc- tion of motion of the combination, and find the kinetic energy lost in this inelastic collision.
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- If relativistic effects are to be less than 3%, then y must be less that 1.03. At what relative velocity is y=1.03?A particle of some unknown rest mass mx , moving at +0.8c ˆx relative to a stationary laboratory,collides head-on with another particle of rest mass mo, moving at – 0.6c ˆx relative to the same stationarylab frame. After the collision, the two particles stick together and stay stationary.(a) What is mx in terms of mo?(b) What is the mass of the final stationary object in terms of mo?(c) What is the change in kinetic energy in this collision, in terms of moc2The star of a distant solar system explodes as a supernova. At the moment of the explosion, an resting exploration spaceship is 15 AU away from the shock wave. The shock wave of the explosion travels with 25000 km/s toward the spaceship. To save the crew, the spacecraft makes use of a special booster that uniformly accelerates at 150 m/s^2 in the opposite direction. Determine if the crew manages to escape from the shock wave. (Neglect relativistic effects.)
- There is a free neutron that is at rest. It decays into a proton (mass energy is 938.30 MeV), an electron (mass energy is 0.50 MeV, and an antineutrino (mass energy is negligible on the scale of MeV). What is the total kinetic energy of the decay products?An unstable particle with a mass equal to 3.34 ✕ 10−27 kg is initially at rest. The particle decays into two fragments that fly off with velocities of 0.981c and −0.861c, respectively. Find the masses of the fragments in kg. (Hint: Conserve both mass–energy and momentum.)A relativistic proton has a momentum of 1.0 × 10-17 kg ∙ m/s and a rest energy of 0.15 nJ. What is the kinetic energy of this proton? (c = 3.00 × 108 m/s, mproton = 1.67 × 10-27 kg)
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