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24 February, 03:47

On a very muddy football field, a 110kg linebacker tackles an 85kg halfback. Immediately before the collision, the linebacker is slipping with a velocity of 8.5m/s north and the halfback is sliding with a velocity of 7.2m/s east. i have no idea how to even set up this problem ... a walk through would be appreciated (:

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  1. 24 February, 07:21
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    Using conservation of energy and momentum you can solve this question. M_l = mass of linebacker

    M_ h = mass of halfback

    V_l = velocity of linebacker

    V_h = velocity of halfback

    So for conservation of momentum,

    rho = mv

    M_l x V_li + M_h x V_hi = M_l x V_lf + M_h x V_hf

    For conservation of energy (kinetic)

    E_k = 1/2mv^2 / 1/2mV_li^2 + 1/2mV_{hi}^2 = 1/2mV_{lf}^2 + 1/2mV_{hf}^2

    Where i and h stand for initial and final values.

    We are already told the masses, / [M_l = 110kg/] / [M_h = 85kg/] and the final velocities / [V_{fi} = 8.5ms^{-1}/] and / [V_{ih} = 7.2ms^{-1}
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