# #

Two river otters collide while sliding across frictionless ice and get tangled together following the (perfectly inelastic) collision as shown in the figure, where a coordinate system has been defined.

The smaller otter ($$m_s =$$ $$kg$$) is initially moving at $$v\_{i_s} =$$ $$m/s$$ along the x-axis, while the larger otter ($$m_l =$$ $$kg$$) is initially moving at $$v\_{i_l} =$$ $$m/s$$, $$\theta_i=$$$$^{\circ}$$ counterclockwise from the x-axis.

## Part 1#

Find the $$x$$-component of the initial momentum of the smaller otter.

Please enter in a numeric value in $$kg\cdot m/s$$.

## Part 2#

Find the $$y$$-component of the initial momentum of the smaller otter.

Please enter in a numeric value in $$kg\cdot m/s$$.

## Part 3#

Find the $$x$$-component of the initial momentum of the larger otter.

Please enter in a numeric value in $$kg\cdot m/s$$.

## Part 4#

Find the $$y$$-component of the initial momentum of the larger otter.

Please enter in a numeric value in $$kg\cdot m/s$$.

## Part 5#

Find the $$x$$-component of the total final momentum of the tangled otters in component form.

Please enter in a numeric value in $$kg\cdot m/s$$.

## Part 6#

Find the $$y$$-component of the total final momentum of the tangled otters in component form.

Please enter in a numeric value in $$kg\cdot m/s$$.

## Part 7#

What direction do the river otters end up heading in, relative to the $$x$$-axis as defined in the figure?

Please enter in a numeric value in degrees.

## Part 8#

What is the speed of the otters after this collision?

Please enter in a numeric value in $$m/s$$.

## Part 9#

Is kinetic energy lost, gained, or does it remain constant in this collision?

If the difference in kinetic energy is less than 0.05, consider that kinetic energy has remained unchanged.