An object with a mass of 2 kg is on a surface with a kinetic friction coefficient of 7 . How much force is necessary to accelerate the object horizontally at 6 m/s^2?

1 Answer
Dec 20, 2015

I found: F=149.2N

Explanation:

Kinetic Friction is given as:
f_k=mu_k*N
Where:
mu_k=kinetic friction coefficient=7
N=Normal Reaction (in this case of horizontal movement)="weight"=mg
with:
m=2kg
g=9.8m/s^2

To produce an acceleration a=6m/s^2 we need a force F to overcome friction that, according to Newton's Second Law, will be given as:
F-f_k=ma
F=f_k+ma
F=mu_k*mg+ma
F=(7*2*9.8)+(2*6)=149.2N