# 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  1 m/s^2?

May 10, 2018

$\text{555.8 N}$

#### Explanation:

On a frictionless surface

$\text{F = ma}$

Here, surface is rough. So, an additional force is required to have same acceleration $\text{a}$. This additional force is called frictional Force.

$\text{F = ma + μmg}$

$\text{F" = ("7 kg × 1 m/s"^2) + (8 × "7 kg × 9.8 m/s"^2) = "555.8 N}$