The force of friction is equal to the pushing force, and the acceleration is zero
Explanation:
In this problem, we are pushing a piano along the floor, in the horizontal direction.
There are 2 forces acting in the horizontal direction on the piano:
Therefore, the net force in the horizontal direction is
[tex]\sum F = F_a - F_f[/tex]
According to Newton's second law, the net force is equal to the product between the piano's mass (m) and its acceleration:
[tex]\sum F = ma[/tex]
Combining the two equations,
[tex]F_a - F_f = ma[/tex]
However, we are also told that the piano moves at constant speed, therefore the acceleration is zero:
[tex]a=0[/tex]
And so,
[tex]F_a - F_f = 0\\F_f = F_a[/tex]
which means that the force of friction is equal to the applied force.
Learn more about Newton's second law:
brainly.com/question/3820012
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