An object with a mass of #2 kg# is on a surface with a kinetic friction coefficient of # 3 #. How much force is necessary to accelerate the object horizontally at #6 m/s^2#?

1 Answer
Mar 4, 2018

Answer:

#70.8 N#

Explanation:

Here,if we have to move the object against frictional force with acceleration,then frictional force must be exerting its maximum value against the motion.

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Maximum frictional #f# force that can act here is #muN=mug=3*2g=6*9.8=58.8N# (where, #mu# is the coefficient of kinetic friction)

So,if we need to apply force #F# to accelerate it at an acceleration of #a#,

Then we can write,acceleartion which is due to the net force acting is,

#F-f=ma#

or, #F-58.8=2*6#

so, #F=70.8 N#