Two hockey players skating on essentially frictionless ice collide head-on. Madeleine, of mass 65.0 kg, is moving at 6.00 m/s to the east just before the collision and at 3.00 m/s to the west just after the collision. Buffy, of mass 55.0 kg, is moving at 3.50 m/s to the east just after the collision. Find Buffy's velocity (magnitude and direction) just before the collision.

Question

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Respuesta :

Muscardinus Muscardinus · Answer 1 · 2019-11-08T07:36:41+01:00

Explanation:

It is given that,

Mass of Madeleine, [tex]m_1=65\ kg[/tex]

Initial speed of Madeleine, [tex]u_1=6\ m/s[/tex] (due east)

Final speed of Madeleine, [tex]v_1=-3\ m/s[/tex] (due west)

Mass of Buffy, [tex]m_2=55\ kg[/tex]

Final speed of Buffy, [tex]v_2=3.5\ m/s[/tex] (due east)

Let [tex]u_1[/tex] is the Buffy's velocity just before the collision. Using the conservation of linear momentum as :

[tex]m_1u_1+m_2u_2=m_1v_1+m_2v_2[/tex]

[tex]65\times 6+55\times u_2=65\times (-3)+55\times 3.5[/tex]

[tex]u_2=-7.13\ m/s[/tex]

So, the initial speed of the Buffy just before the collision is 7.13 m/s and it is moving due west. Hence, this is the required solution.