Respuesta :
Answer:
(D) It is equal to the original velocity of the skater.
Explanation:
The velocity of the center of mass of a system is
[tex]\vec{v}_{cm} = \frac{m1\vec{v}_1 + m_2\vec{v}_2}{m_1 + m_2}[/tex]
The velocity of the center of mass is constant if there is no external force, because the total momentum of the whole system is conserved.
So, before the snowball is thrown, the velocity of the center of mass is equal to that of the skater. This velocity will always be equal to the velocity of the center of mass of the system.
Immediately after the snowball is thrown, the velocity of the center of mass is equal to that of the skater. Option D is correct.
Velocity of the center of mass:
It is defined as the ratio of the sum of the momentum of the masses and total mass.
The velocity of the center of mass of a system given as
[tex]\bold {V_c_m = \dfrac {p_1 + p_2 } {m_1+m_2}}[/tex]
Where,
p1 - momentum of the first mass
p2 - momentum of the second mass
m1 + m1 - total mass of the system
If there is no external force, the velocity of the center of mass is constant because the total momentum of the whole system is conserved.
Therefore, immediately after the snowball is thrown, the velocity of the center of mass is equal to that of the skater.
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