Question

Two blocks slide on a collision course across a frictionless surface, as in the figure. The resulting collision is inelastic. The first block has mass ,M = 1.40 kg and is initially sliding due north at a speed of V_i = 9.15 m/s. The second block has mass ,m = 7.20 ✕ 10⁻² kg and is initially sliding at a speed of  v_i = 11.5 m/s directed at an angle θ = 27.5° south of east. Immediately after the inelastic collision, the second block is observed sliding at v_f = 5.15 m/s in a direction of ϕ = 21.5° north of east.

Determine the components of the first block's velocity after the collision.

Vxf	=	______m/s
Vyf	=	_______m/s

Question 6.2B

During a fireworks display, a 0.300-kg bottle rocket approaches the top of its trajectory and explodes into two pieces as in the figure. The first piece (Piece 1) has mass 0.200 kg and the second piece (Piece 2) has mass 0.100 kg.Immediately after the explosion, the first piece is observed traveling to the left at a speed of 4.00 m/s and the second piece is observed traveling at an angle  = 30.0° above the horizon at a speed of 17.0 m/s.

Determine the components of the bottle rocket's velocity immediately before the explosion.

Vxi	=	____ m/s
Vyi	=	_____m/s

Answer 1