# An object with a mass of 7 kg is on a surface with a kinetic friction coefficient of  8 . How much force is necessary to accelerate the object horizontally at  3 m/s^2?

Feb 9, 2016

$F = 570 , 36 \text{ N}$

#### Explanation:

${F}_{f} = k \cdot m \cdot g$
$F - {F}_{f} = m \cdot 3$
$F - k \cdot m \cdot g = m \cdot 3$
$F = 3 \cdot m + k \cdot m \cdot g$
$F = 3 \cdot 7 + 8 \cdot 7 \cdot 9 , 81$
$F = 21 + 549 , 36$
$F = 570 , 36 \text{ N}$