Question

1) Consider an object of mass m₁ = 0.425 kg moving with a uniform speed of 6.65 m/s on a frictionless surface. This object makes an elastic head-on collision with another object of mass m₂ = 0.555 kg  which is initially at rest. (a) Find the speed of m₁ immediately after collision. (b) Find the speed of m₂ immediately after collision.

2) An object of mass m₁ = 0.395 kg  starts from rest at point  and slides down an incline surface that makes an angle θ = 33.0° with the horizontal as shown. The coefficient of kinetic friction between the object and the incline surface is 0.375. After sliding down a distance d = 6.95 m, it makes a perfectly inelastic collision with an object of mass m₂ = 0.560 kg  at point .

(a) Find the speed of m₁ at point  just before the collision.

(b) Find the energy loss during the collision. Enter the magnitude.

(c) After the collision, the objects travel on a horizontal surface with a kinetic coefficient of 0.375. How long does it take until the objects come to rest at point ?.

3)Two shuffleboard disks of equal mass, one orange and the other green, are involved in a glancing collision. The green disk is initially at rest and is struck by the orange disk moving initially to the right at v_Oi = 7.00 m/s as in Figure a, shown below. After the collision, the orange disk moves in a direction that makes an angle of θ = 35.0°  with the horizontal axis while the green disk makes an angle of ϕ = 55.0° with this axis as in Figure b. Determine the speed of each disk after the collision.

Answer 1