If an object is moving at $22 m/s$ over a surface with a kinetic friction coefficient of $u_k=11 /g$ , how far will the object continue to move?

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Answer 1 · 2016-06-03T18:50:47

$Delta x=22" "m" (area under graph)"$

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$u_k=11/g$
$v_i=22" "m/s$

$"Friction force: "F_f=u_k*m*g$

$F_f=11/g*m*g" ; "F_f=11m$

$F_f=m*a" ; "11*m=m*a" ; "a=11 " "m/s^2$

$v_f^2=v_i^2-2*a*Delta x$

$0=v_i^2-2*a*Delta x$

$v_i^2=2*a*Delta x$

$Delta x=v_i^2/(2*a)$

$Delta x=22^2/(2*11)$

$Delta x=22" "m" (area under graph)"$

If an object is moving at 22 m/s22 m/s over a surface with a kinetic friction coefficient of u_k=11 /gu_k=11 /g, how far will the object continue to move?