Answer:
[tex]+2.46 m/s^2[/tex]
Explanation:
There are two forces acting on the clarinet case:
- The upward force, F, of magnitude
F = 38.38 N
- The force of gravity, downward, of magnitude
[tex]W=mg[/tex]
where
m = 3.130 kg is the mass of the case
[tex]g=9.8 m/s^2[/tex] is the acceleration due to graviry
According to Newton's second law of motion, the net force is equal to the product between mass and acceleration of the case:
[tex]F-W=ma[/tex]
where a is the acceleration.
Solving for a, we find:
[tex]a=\frac{F-mg}{m}=\frac{38.38-(3.130)(9.8)}{3.130}=2.46 m/s^2[/tex]
And the direction is upward, since the result is positive (same sign as the upward force).
