Momentum Example 1: Perfectly Inelastic Collision A 5 kg block (Block A) slides along a smooth section of the floor at 4 m/s. It collides and sticks to a 7 kg block (Block B). The two blocks then slide over a rough section of floor that has a coefficient of kinetic friction of µk = 0.2. How far will the blocks will travel before coming to rest? Momentum Example 2: Two-­‐dimensional collision In a particle accelerator, small nuclear particles are used to collide with large atoms in order to break them up and to study the fragments. In one experiment, a proton of mass m and velocity v is used to collide with an atom of aluminum (AL) which has a mass of 27m. The AL atom breaks up into an oxygen (M = 16m) and carbon (M = 12m) as shown in the figure. Determine the velocity vector (magnitude and direction) of the carbon atom. v/10#
O
v#
AL#
θ#=#30˚#
C
Momentum Example 3: Explosion A projectile of mass M is launched at 37˚ above the horizontal with v = 30 m/s. At the maximum height, it explodes into 3 pieces as indicated below. Find the magnitude of the velocity of the piece labeled m1. Pieces: m1 = M/2, horizontal velocity m2 = M/4, vertical downward, 10 m/s m3 = M/4, 20 m/s