A clarinetist, setting out for a performance, grabs his 3.450 kg3.450 kg clarinet case (including the clarinet) from the top of the piano and carries it through the air with an upward force of 38.92 N. 38.92 N. Find the case's vertical acceleration. Indicate an upward acceleration as positive and a downward one as negative.

1.5 m/s²

Explanation:

m = mass of the clarinet case = 3.450 kg

F = upward force on the clarinet through the air = 38.92 N

W = weight of the clarinet case in down direction

weight of the clarinet case is given as

W = mg

W = (3.450) (9.8)

W = 33.81 N

a = acceleration of the case

Force equation for the motion of the case is given as

F - W = ma

38.92 - 33.81 = (3.450) a

a = 1.5 m/s²