An object with a mass of #5 kg# is on a surface with a kinetic friction coefficient of # 4 #. How much force is necessary to accelerate the object horizontally at #1 m/s^2#?

1 Answer
Dec 25, 2017

Answer:

The force is #=201N#

Explanation:

The mass of the object is #m=5kg#

The acceleration is #a=8ms^-2#

The coefficient of kinetic friction is

#mu_k=F_r/N=4#

The normal force is #N=5gN#

The frictional force is #F_r=mu_k xx N=4*5g=20gN#

The force necessary to accelerate the object is #=FN#

The acceleration due to gravity is #g=9.8ms^-2#

The acceleration of the object is #a=1ms^-1#

According to Newton's Second Law

#F-F_r=ma#

#F=ma+F_r=((5xx1)+(20g))N=201N#