After sliding down a snow-covered hill on an inner tube, Ashley is coasting across a level snowfield at a constant velocity of 3.0 m/s. Miranda runs after her at a velocity of 4.2 m/s and hops on the inner tube. How fast do the two of them slide across the snow together on the inner tube

Respuesta :

Answer:

[tex]\frac{3m + 4.2M}{m+M}[/tex]

Where m is Ashley's mass and M is Miranda mass, in kg.

Explanation:

Let m be Ashley's mass and M be Miranda mass, in kg.

By the law of momentum conservation, after the hop on, we have the following momentum equation:

mv + MV = (m + M)S

where v = 3m/s is Ashley speed before the hop on, V = 4.2 m/s is Miranda's speed before the hop on. And S is their speed after

[tex]S = \frac{mv + MV}{m+M} = \frac{3m + 4.2M}{m+M}[/tex]