Football Players A and B both have the same momentum when running downfield. Football player A has a mass of 60kg, while player B has a mass of 120kg. Which one has a faster velocity?

Respuesta :

Player A has a greater velocity

Explanation:

The momentum of a body is given by

[tex]p=mv[/tex]

where

m is the mass of the body

v is its velocity

In this problem, player A and player B have same momentum, so we can write:

[tex]p_A = p_B\\m_A v_A = m_B v_B[/tex]

where

[tex]m_A = 60 kg[/tex] is the mass of player A

[tex]m_B = 120 kg[/tex] is the mass of player B

[tex]v_A[/tex] is the velocity of player A

[tex]v_B[/tex] is the velocity of player B

Substituting the values inside the equation, we get:

[tex]60v_A = 120 v_B \rightarrow v_A = 2 v_B[/tex]

which means that player A has a velocity that is twice the velocity of player B.

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