Allen

hi

Two shuffleboard disks of equal mass, one orange and the other yellow, are involved in an elastic, glancing collision. The yellow disk is initially at rest and is struck by the orange disk moving with a speed of 5.60 m/s. After the collision, the orange disk moves along a direction that makes an angle of 36.0° with its initial direction of motion. The velocities of the two disks are perpendicular after the collision. Determine the final speed of each disk.

Two gliders are set in motion on an air track. A spring of force constant k is attached to the near side of one glider. The first glider of mass m₁ has velocity ₁ and the second glider of mass m₂ moves more slowly, with velocity ₂, as in Figure P9.54. When m₁ collides with the spring attached to m₂ and compresses the spring to its maximum compression x_max, the velocity of the gliders is . Find each of the following in terms of ₁, ₂, m₁, m₂ and k. (Use v_1 for ₁, v_2 for ₂, m_1 for m₁, m_2 for m₂ and k as necessary.)