A red particle (particle 1) moves on a horizontal, frictionless surface in the +x direction. It experiences an elastic collision with a stationary blue particle (particle 2) on that surface. The mass ratio of the particles is fixed at m2/m1=2, with the less massive particle initially moving and the more massive particle at rest. Particle 2 is actually the bob of a simple pendulum in that particle 2 is at the end of long string that is supported directly above it. As a result of the collision particle 2 performs oscillatory motion (it swings) on its string. In other words, we now have an oscillating pendulum. The length of the string is L=0.900 m, and the mass of the string can be neglected compared to the masses of the two pa
A red particle (particle 1) moves on a horizontal, frictionless surface in the +x direction. It experiences an elastic collision with a stationary blue particle (particle 2) on that surface. The mass ratio of the particles is fixed at m2/m1=2, with the less massive particle initially moving and the more massive particle at rest. Particle 2 is actually the bob of a simple pendulum in that particle 2 is at the end of long string that is supported directly above it. As a result of the collision particle 2 performs oscillatory motion (it swings) on its string. In other words, we now have an oscillating pendulum. The length of the string is L=0.900 m, and the mass of the string can be neglected compared to the masses of the two particles.
a. What is the symbolic expression for the velocity of particle 2 immediately after its collision with particle 1? This answer will be in terms of m1, m2, and v1ix (do not use comma in subscript).
b. If the initial velocity of particle 1 (before the collision) is v1i,x=+1.00 m/s, find the value of θmax (in degrees) after the collision.
c. Find the value of θmax (in degrees) after the collision for the case where the initial velocity of particle 1 is v1i,x=+5.00 m/s.
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