An object with a mass of #2 kg# is on a surface with a kinetic friction coefficient of # 2 #. How much force is necessary to accelerate the object horizontally at #8 m/s^2#?

1 Answer
Junaid Mirza
Apr 23, 2018

#"55.2 N"#

Explanation:

From Newton’s second law on a smooth surface

#"F = ma"#

But here surface is not smooth. Extra force is required to neutralise the effect of friction

#"F = ma + μmg"#

#"F" = ("2 kg × 8 m/s"^2) + ("2 × 2 kg × 9.8 m/s"^2)#

#"F = 16 N + 39.2 N = 55.2 N"#

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