# Stuck Together Collision#

A perfectly inelastic collision occurs between an object of mass $$m$$ initially travelling along the positive $$x$$-axis at speed $$v$$, and an object of mass 4$$m$$ initially travelling along the positive $$y$$-axis at the same speed $$v$$. Following the collision the objects stick together and travel at a final speed $$v_f$$ at an angle $$\theta$$ degrees from the positive $$x$$-axis as shown in the figure below.

## Part 1#

The value of the angle $$\theta$$ is:

• 14.0 $$^\circ$$

• 63.4 $$^\circ$$

• 76.0 $$^\circ$$

• 78.7 $$^\circ$$

• 81.9 $$^\circ$$