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 # 7 m/s^2#?

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Answer 1 · 2017-02-19T03:52:45

231 Newtons

Newton's Law

#F_"net" = ma#

#F_"applied" - F_"friction" = ma#

Friction equation where u is the coefficient of friction

#F_"applied" - uF_"normal" = ma#

The magnitude of normal force is equal to the force of gravity

#F_"applied" - umg = ma#

#F_"applied" = ma + umg#

Plugging in numbers

#= 5*7 + 4*5*9.8#

#=231# Newtons of force that needs to be applied