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

Apr 23, 2018

$\text{55.2 N}$

#### Explanation:

From Newton’s second law on a smooth surface

$\text{F = ma}$

But here surface is not smooth. Extra force is required to neutralise the effect of friction

$\text{F = ma + μmg}$

"F" = ("2 kg × 8 m/s"^2) + ("2 × 2 kg × 9.8 m/s"^2)

$\text{F = 16 N + 39.2 N = 55.2 N}$