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 # 12 m/s^2#?

1 Answer

Force F=64Newtons.

Explanation:

This case is taken as Motion of block on a rough fixed horizontal surface.
In this case, if the block slides or moves with an acceleration under the influence of an external force 'F', the acceleration of the block is
#a=(F-f_"k")//m#
#=> F = ma + f_"k" #
Now substituting the values we get
F = (5)(12) + 4
#:. F = 64N#