The acceleration of the piano is [tex]0.56 m/s^2[/tex] to the left
Explanation:
We can solve this problem by applying Newton's second law along the horizontal direction.
In fact, the net force along the horizontal direction must be equal to the product between the mass and the acceleration of the piano:
[tex]F = ma[/tex]
where
F is the net force
m = 225 kg is the mass of the piano
a is the acceleration
There are two forces acting on the piano:
- A force of 77.5 N to the left
- A force of 48.7 N to the left
So, the net force is just the sum of the two forces:
F = 77.5 + 48.7 = 126.2 N (to the left)
And substituting into the previous equation, we can find the acceleration of the piano:
[tex]a=\frac{F}{m}=\frac{126.2}{225}=0.56 m/s^2[/tex]
And the direction is the same as the net force (to the left).
Learn more about Newton's second law and acceleration:
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