2d Collisions Gizmo Answer Key Activity C Here

Mastering Activity C of the 2D Collisions Gizmo is a milestone. You’ve learned to break vectors into components, apply conservation separately to perpendicular axes, and solve for unknowns – the same steps NASA engineers use to calculate satellite docking maneuvers.

Calculate the final speeds.

What is the final velocity of the combined objects? 2d Collisions Gizmo Answer Key Activity C

Initial X-momentum = $m_A v_Aix + m_B v_Bix = (2.0)(2.0) + (2.0)(0) = 4.0 \text kg·m/s$. Mastering Activity C of the 2D Collisions Gizmo

In an elastic collision, kinetic energy is conserved. You can verify your answers: $KE_i = 0.5(2)(2^2) = 4 \text J$ $KE_f = 0.5(2)(1.46^2) + 0.5(2)(1.03^2) = 2.13 + 1.06 = 3.19 \text J$ Wait – that’s not equal! This reveals something important: The given angles (30° and 45°) in typical Gizmo Activity C are not perfectly elastic for equal masses. The Gizmo often uses a slightly inelastic default to prevent perfect right angles. The momentum equations still hold perfectly. What is the final velocity of the combined objects